teacher 國家地震工程研究中心(國震中心)特別邀請加拿大英屬哥倫比亞大學Tony T.Y. Yang教授，於2024年8月19日在國震中心進行專題演講，講題「Development and implementation of high-performance structural systems for seismic applications」，分享高性能耐震結構系統的開發與應用，此場演場為中文演講。
時間：民國113年8月19日(星期一) 上午10時00分至上午11時30分
地點：國家地震工程研究中心一樓R101會議室(臺北市大安區辛亥路三段200號)
費用：免費，民國113年8月15日(星期四)前截止報名。
名額：120人，依報名順序，額滿為止
報名方式：即日起開始報名，請上網址：https://conf.ncree.org.tw/indexCht.aspx?n=A11308190
備註：本研討會已申請專業技師(土木工程、結構工程)積點。
附件 : 高性能耐震結構系統的開發與應用
「結構工程」季刊第152期(第39卷第2期)
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中文網址: 第三十九卷第二期 (期別152)(113年)
英文網址: Vol.39 / No.2 (152)(2024)
若有任何意見歡迎 email 至 csse@csse.org.tw。
| Title | Experimental Study on Reinforced Concrete Box Girder Strengthened in Shear With Carbon Fiber Reinforced Polymer (CFRP) Patches |
|---|---|
| Author | Hsiao-Hui Hung, Chi-Rung Jiang, Chun-Chung Chen, Fang-Yao Yeh, Kuo-Long Chen, Tsair-Yi Luo, Yi-Ting Lee, Kang-Yu Peng, Ming-Shing Wu, Chien-Hung Chen |
| Keywords | CFRP patch, shear strength, RC box girder |
| Abstract | The purpose of this research is to investigate the shear strengthening effect of carbon fiber reinforced polymer (CFRP) patched on reinforced concrete (RC) box girder with concrete shear cracks through specimen tests. Therefore, Two RC box girder specimens with insufficient shear strength were designed and fabricated, and the loading tests were carried out after strengthening of girders by CFRP was applied. The CFRP shear reinforcement was designed according to the guide specification published by American Association of State Highway and Transportation Officials (AASHTO). In order to simulate the state of RC box girder after shear cracks already occurred, one of the box girder specimens was loaded at first until shear cracks occurred and then strengthened with CFRP patches, while the other box girder specimen was directly strengthened with CFRP patches. Then, both strengthened specimens were respectively subjected to loading tests. Through the comparison of the loading test results of the specimens before and after strengthening with CFRP patches, the shear strengthening effect of the CFRP patch was confirmed. In addition, through the comparison of the test results of two strengthened specimens performed under different conditions, the benefits of shear strengthening with CFRP patch on RC box girder with existed damage can also be confirmed. |
| Title | Shear Behavior of Prestressed Concrete Girders With High-Strength Transverse Reinforcement |
|---|---|
| Author | Yu-Chen Ou, Dwi Prasetya, Jhen-Wei Wu |
| Keywords | bridges, prestressed concrete, girder, shear strength, high-strength steel reinforcement, SD790 |
| Abstract | This study investigated the influence of high-strength shear reinforcement on the shear behavior of prestressed concrete girders. Six I-girders, with a cross-sectional height of 600 mm and a total length of 5 m, were constructed and tested in the laboratory using two types of rebar as shear reinforcement: high-strength steel (SD790) and normal-strength steel (SD420W). The test parameters included the transverse reinforcement ratio and prestressing level. Monotonic-static loading was applied in all girders using two loading points. The test results indicated that a direct replacement of normal-strength shear reinforcement with high-strength shear reinforcement increased the shear capacity of the girder. The equivalent shear strength replacement of normalstrength shear reinforcement with high-strength shear reinforcement based on the specified yield strength showed a decrease in the ultimate shear strength. Thus, the use of fy = 790 MPa in shear design calculation is not recommended. In addition, the equivalent shear strength replacement based on a yield strength limit of fy = 600 MPa resulted in similar ultimate shear strengths between the specimen with the normal-strength shear reinforcement and that with the high-strength shear reinforcement. Furthermore, the experimental results were evaluated using the ACI 318-19 and AASHTO LRFD 2020 shear strength models. The findings showed that the yield strength limitation for shear strength design in the ACI 318 could be increased up to 600 MPa. Using 690 MPa as the yield strength limit with the AASHTO LRFD shear strength model still provided a high degree of conservatism. |
| Title | Hybrid Simulation of a Steel Seven-Story Dual System With Measured Buckling-Induced First-Story Box Column Shortening in Subassemblage Tests |
|---|---|
| Author | Cheng-Wei Huang, Kung-Juin Wang, Chung-Che Chou, Hou-Kuan Shen, Claudio Sepulveda, Gilberto Mosqueda, Chia-Ming Uang |
| Keywords | hybrid simulation, moderately ductile built up box column, buckling, forced control, displacement compatibility |
| Abstract | This paper presents a series of hybrid simulation (HS) conducted on full-scale steel beam-column connection subassemblages to study the seismic responses of a two-dimensional steel dual frame, considering first-story steel column shortening caused by local or global buckling during the seismic events. A seven-story two-bay dual frame system is composed of a special moment frame (SMF) and a buckling-restrained braced frame (BRBF) using built-up box columns. The experimental substructure consists of a full-scale interior column and beam cruciform subassemblage, including a moderately ductile first-story built-up box column and two I-shaped beams. Under combined axial and lateral loads, local buckling can occur near the column base, resulting in column shortening. The specimen is loaded through a four degree of freedom (DOF) mixed-mode control (three displacement- and one forcecontrol) actuation system that simplifies the laboratory loading conditions given the complex boundary conditions of the frame structure. To account for column shortening in the HS, a new approach is applied to enforce compatible displacements between the experiment and numerical model. With the column axial load in force control and column shortening, a set of fictitious equivalent forces is applied to columns in the numerical model to achieve compatible displacements. Shortening of two exterior columns in the model is simulated through finite element analysis using the computer program ABAQUS. The test results confirm that the proposed modeling and control methods could successfully integrate the information available in the laboratory and ABAQUS simulation into the HS, resulting in a more realistic frame response that captures the effect of column shortening in the analysis. The moderately ductile built-up box column is also verified to perform well in near-fault earthquake loadings. |
| Title | A Simplified Seismic Design Method for Steel-Timber Hybrid Buildings Considering Shear Force Modification |
|---|---|
| Author | Kai-Jun Huang, Pei-Ching Chen |
| Keywords | steel-timber hybrid building, structural dynamic interaction, design seismic force, incremental dynamic analysis |
| Abstract | A steel-timber hybrid building consists of a conventional steel moment-resisting frame in its lower section, while the upper part is constructed with timber. In this study, a simplified method for structural design of steel-timber hybrid buildings has been proposed. It incorporates the dynamic interaction between the superstructure and the substructure into the existing Seismic Design Specifications and Commentary of Buildings in Taiwan. First a steel-timber hybrid building is simplified into a two degrees-of-freedom (2DOF) linear model. Parameter analysis is conducted to investigate the effects of the mass ratio and the frequency ratio of the superstructure to the substructure on the dynamic response of the 2DOF model. Accordingly, a seismic force modification factor can be defined, and the design seismic force for the upper timber structure can be calculated directly by using this modification factor. Meanwhile, the design seismic force for the lower steel structure can be determined individually by considering the base shear of the upper timber structure transmitted to the top of the lower steel structure. Four steel-timber hybrid buildings with different elevation have been designed based on the proposed method. OpenSees is used to build the nonlinear numerical model of the steel-timber hybrid buildings to perform nonlinear pushover analysis and incremental dynamic analysis (IDA). A total number of 44 earthquakes recommended in FEMA P695 are used for IDA. Based on FEMA P695 and relevant literature recommendations, the limit states of the steel-timber hybrid buildings can be assessed. The IDA results indicate that the Collapse Margin Ratios suggested in FEMA P695 is satisfied which demonstrates the applicability of the proposed simplified design method for design of steeltimber hybrid buildings in Taiwan. |
| Title | Application and GUI Program Development of Empirical and Statistical Green’s Function Method in Earthquake Motion Simulation |
|---|---|
| Author | Wen-I Liao, Yuan-Ting Chen |
| Keywords | empirical Green’s function method, statistical Green’s function method, MATLAB, strong ground motion simulation |
| Abstract | This study primarily utilizes the empirical Green’s function method for seismic motion simulation graphical user interface (GUI) program development. The main theoretical concept involves the superposition of observed small earthquake event acceleration time histories to simulate the strong earthquake time history that occurs at the same site during a large earthquake. This method can effectively simulate acceleration time history of large earthquakes. To address the issue of the empirical Green’s function method being unable to simulate strong ground motion for locations without records of small earthquake events, this study proposes the statistical Green’s function method to simulate the strong ground motion acceleration time history at such sites. The main theory behind this approach is to use the recorded acceleration time histories of small earthquakes from surrounding monitoring stations to statistically analyze the relationship between ground acceleration amplitude spectra, phase spectra, and source-toreceiver distance. Subsequently, by calculating the results, the source-to-receiver distance for the desired simulation site can be used to calculate the amplitude spectra and phase spectra at that site. Then, by performing a Fourier inverse transform on the amplitude spectra and phase spectra, the acceleration time history of small earthquakes at that site can be obtained. Finally, this small earthquake event acceleration time history is used in place of actual small earthquake records in the empirical Green’s function method to simulate the strong ground motion at that site. Additionally, the developed GUI interface program includes functions for generating response spectrum-compatible acceleration time histories and amplifying acceleration time histories at specified period range. |
| 標題 | 鋼筋混凝土箱型梁碳纖維貼片剪力補強試驗 |
|---|---|
| 作者 | 洪曉慧、江奇融、陳俊仲、葉芳耀、陳國隆、羅財怡、李奕霆、彭康瑜、吳明興、陳建宏 |
| 關鍵字 | CFRP 貼片補強、剪力強度、RC 箱型梁 |
| 摘要 | 本研究目的為透過試體試驗探討依美國國家公路與運輸官員協會 (American Association of State Highway and Transportation Officials, AASHTO) 規範設計之碳纖維 (carbon fiber reinforced polymer, CFRP) 貼片補強對已產生混凝土剪力裂縫之鋼筋混凝土 (reinforced concrete, RC) 箱型梁的剪力補強效益，故設計並製作兩組剪力強度不足的RC 箱型梁試體，並在施作CFRP 補強後進行承載力試驗。為模擬標的橋梁產生剪力裂縫後再進行補強之狀態，其一之箱型梁試體先加載至剪力裂縫產生後再進行CFRP 貼片補強，另一箱型梁試體則直接進行CFRP 貼片補強，最後兩組補強試體分別進行加載試驗。透過補強前試體與補強後試體之加載試驗結果比較，可確認CFRP 貼片剪力補強效益，另透過於不同的狀態下執行補強作業的兩座補強試體試驗比較，也進一步確認損傷後橋梁進行剪力補強的效益。 |
| Title | Experimental Study on Reinforced Concrete Box Girder Strengthened in Shear With Carbon Fiber Reinforced Polymer (CFRP) Patches |
|---|---|
| Author | Hsiao-Hui Hung, Chi-Rung Jiang, Chun-Chung Chen, Fang-Yao Yeh, Kuo-Long Chen, Tsair-Yi Luo, Yi-Ting Lee, Kang-Yu Peng, Ming-Shing Wu, Chien-Hung Chen |
| Keywords | CFRP patch, shear strength, RC box girder |
| Abstract | The purpose of this research is to investigate the shear strengthening effect of carbon fiber reinforced polymer (CFRP) patched on reinforced concrete (RC) box girder with concrete shear cracks through specimen tests. Therefore, Two RC box girder specimens with insufficient shear strength were designed and fabricated, and the loading tests were carried out after strengthening of girders by CFRP was applied. The CFRP shear reinforcement was designed according to the guide specification published by American Association of State Highway and Transportation Officials (AASHTO). In order to simulate the state of RC box girder after shear cracks already occurred, one of the box girder specimens was loaded at first until shear cracks occurred and then strengthened with CFRP patches, while the other box girder specimen was directly strengthened with CFRP patches. Then, both strengthened specimens were respectively subjected to loading tests. Through the comparison of the loading test results of the specimens before and after strengthening with CFRP patches, the shear strengthening effect of the CFRP patch was confirmed. In addition, through the comparison of the test results of two strengthened specimens performed under different conditions, the benefits of shear strengthening with CFRP patch on RC box girder with existed damage can also be confirmed. |
| 標題 | 高強度橫向鋼筋預力梁之剪力行為 |
|---|---|
| 作者 | 歐昱辰、張穩二、吳振維 |
| 關鍵字 | 橋梁、預力混凝土、梁、剪力強度、高強度鋼筋、SD790 |
| 摘要 | 本研究旨在探討使用高強度剪力鋼筋於預力梁之剪力行為，完成了六座長為5 m、深為600 mm 之預力I 型梁試體，其中，採用SD790 及SD420W 兩種不同強度鋼筋做為剪力鋼筋，試驗參數包含剪力鋼筋比及預力大小，試體以四點簡支梁型式進行單向漸增加載。試驗結果顯示，在相同剪力鋼筋用量與間距下，以高強度鋼筋取代一般強度鋼筋作為預力梁之剪力鋼筋時，可提升其剪力強度，若高強度鋼筋之剪力設計應力採790 MPa，則於相同標稱剪力強度下，預力梁所得到的試驗剪力強度較採一般強度鋼筋者低，因此並不建議以790 MPa 做為預力梁剪力設計的規定降伏強度上限，而若改以600 MPa 進行設計，於相同標稱剪力強度下，預力梁之試驗剪力強度與採一般強度鋼筋者相近。此外，比較本研究預力梁試驗剪力強度與ACI (American Concrete Institute) 318-19 及AASHTO (American Association of State Highway and Transportation Officials) LRFD 2020 兩種剪力強度計算結果，可發現於ACI 318-19 中，高強度剪力鋼筋之規定降伏強度上限提升至600 MPa，仍可得到合理保守的剪力強度計算結果，而於AASHTO LRFD 2020 中，規定降伏強度上限即便採690 MPa，雖其剪力強度計算值之保守度較普通強度鋼筋之預力梁下降許多，但依然可得到相當保守的計算結果。 |
| Title | Shear Behavior of Prestressed Concrete Girders With High-Strength Transverse Reinforcement |
|---|---|
| Author | Yu-Chen Ou, Dwi Prasetya, Jhen-Wei Wu |
| Keywords | bridges, prestressed concrete, girder, shear strength, high-strength steel reinforcement, SD790 |
| Abstract | This study investigated the influence of high-strength shear reinforcement on the shear behavior of prestressed concrete girders. Six I-girders, with a cross-sectional height of 600 mm and a total length of 5 m, were constructed and tested in the laboratory using two types of rebar as shear reinforcement: high-strength steel (SD790) and normal-strength steel (SD420W). The test parameters included the transverse reinforcement ratio and prestressing level. Monotonic-static loading was applied in all girders using two loading points. The test results indicated that a direct replacement of normal-strength shear reinforcement with high-strength shear reinforcement increased the shear capacity of the girder. The equivalent shear strength replacement of normalstrength shear reinforcement with high-strength shear reinforcement based on the specified yield strength showed a decrease in the ultimate shear strength. Thus, the use of fy = 790 MPa in shear design calculation is not recommended. In addition, the equivalent shear strength replacement based on a yield strength limit of fy = 600 MPa resulted in similar ultimate shear strengths between the specimen with the normal-strength shear reinforcement and that with the high-strength shear reinforcement. Furthermore, the experimental results were evaluated using the ACI 318-19 and AASHTO LRFD 2020 shear strength models. The findings showed that the yield strength limitation for shear strength design in the ACI 318 could be increased up to 600 MPa. Using 690 MPa as the yield strength limit with the AASHTO LRFD shear strength model still provided a high degree of conservatism. |
| 標題 | 含中等韌性箱型鋼柱七層樓鋼造二元構架系統之複合模擬子結構試驗 |
|---|---|
| 作者 | 黃丞偉、王孔君、周中哲、沈厚寬、Claudio Sepulveda、Gilberto Mosqueda、Chia-Ming Uang |
| 關鍵字 | 複合模擬、中等韌性銲接箱型鋼柱、挫屈、力量控制、位移諧和 |
| 摘要 | 本文利用複合模擬實驗 (hybrid simulation, HS) 技術，探討一樓銲接箱型鋼柱在軸力及彎矩共同作用下局部挫屈導致鋼柱縮短對整體建築構架耐震行為影響。本研究將HS 應用於一個七層樓鋼造二元構架的數值模型及一實尺寸試體子構架，探討在近斷層地震力作用下的反應。該實尺寸試體為包含中等韌性銲接箱型鋼柱及與其相連之I 型梁的子構架。當試體受到軸力和側向位移時，柱發生撓曲挫屈，柱底產生局部挫屈，導致柱縮短。為了模擬此現象，本研究透過在數值模型中施加一組虛擬等效力以強制達成實驗和數值模型間之位移諧和。在實驗控制上，本研究使用一個四自由度 (degree of freedom, DOF) 的混合控制模式（三位移和一力量控制）進行加載，使得能以簡化之實驗配置模擬子構架試體複雜之邊界條件。在HS 過程中，一樓中間柱的縮短量乃於實驗中實際量測試體反應，而一樓外柱的縮短量則是利用軟體ABAQUS 根據以往鋼柱實驗資料比對事前分析而得。實驗結果證實本研究所提出的控制和建模方法之有效性，能將實驗實際量測及ABAQUS 分析所得之柱垂直位移成功納入HS 的數值歷時分析中，從而更真實地模擬柱縮短對整體構架的影響。此外，中等韌性銲接箱型鋼柱在近斷層地震荷載下表現出良好的耐震行為，驗證AISC 341 高等韌性鋼柱寬厚比限制太過保守。 |
| Title | Hybrid Simulation of a Steel Seven-Story Dual System With Measured Buckling-Induced First-Story Box Column Shortening in Subassemblage Tests |
|---|---|
| Author | Cheng-Wei Huang, Kung-Juin Wang, Chung-Che Chou, Hou-Kuan Shen, Claudio Sepulveda, Gilberto Mosqueda, Chia-Ming Uang |
| Keywords | hybrid simulation, moderately ductile built up box column, buckling, forced control, displacement compatibility |
| Abstract | This paper presents a series of hybrid simulation (HS) conducted on full-scale steel beam-column connection subassemblages to study the seismic responses of a two-dimensional steel dual frame, considering first-story steel column shortening caused by local or global buckling during the seismic events. A seven-story two-bay dual frame system is composed of a special moment frame (SMF) and a buckling-restrained braced frame (BRBF) using built-up box columns. The experimental substructure consists of a full-scale interior column and beam cruciform subassemblage, including a moderately ductile first-story built-up box column and two I-shaped beams. Under combined axial and lateral loads, local buckling can occur near the column base, resulting in column shortening. The specimen is loaded through a four degree of freedom (DOF) mixed-mode control (three displacement- and one forcecontrol) actuation system that simplifies the laboratory loading conditions given the complex boundary conditions of the frame structure. To account for column shortening in the HS, a new approach is applied to enforce compatible displacements between the experiment and numerical model. With the column axial load in force control and column shortening, a set of fictitious equivalent forces is applied to columns in the numerical model to achieve compatible displacements. Shortening of two exterior columns in the model is simulated through finite element analysis using the computer program ABAQUS. The test results confirm that the proposed modeling and control methods could successfully integrate the information available in the laboratory and ABAQUS simulation into the HS, resulting in a more realistic frame response that captures the effect of column shortening in the analysis. The moderately ductile built-up box column is also verified to perform well in near-fault earthquake loadings. |
| 標題 | 立面鋼木混合結構水平設計地震力之研究 |
|---|---|
| 作者 | 黃凱雋、陳沛清 |
| 關鍵字 | 立面鋼木混合結構、結構互制、水平設計地震力、增量動力分析 |
| 摘要 | 鋼木立面混合結構系統結合了鋼結構與木結構，其下部為鋼結構抗彎構架，上部則為木結構。本研究將鋼木立面混合結構系統簡化為一雙自由度模型進行參數分析，探討上下部結構系統之質量比以及第一模態頻率比對其結構互制效應之影響，並依照分析結果決定鋼木結構之設計地震力。本研究使用既有建築物耐震設計規範及解說中的靜力分析法，將鋼結構與木結構分開來單獨設計，其中上部木結構之水平設計地震力透過地震力調整係數進行調整，並藉此調整後之設計地震力進行木結構的設計。同樣地，在計算下部鋼結構之設計地震力時，考慮由上部木結構傳遞之基底剪力進行調整，以調整後之水平設計地震力進行鋼結構之設計。本研究首先使用商用結構分析軟體ETABS 進行鋼木混合結構之斷面設計，以滿足國內耐震設計之要求。完成結構設計後使用開源結構分析軟體OpenSees，建立設計完成的鋼木混合結構數值模型，使用FEMA P695 所建議的遠域地震集進行增量動力分析，考慮四種不同高度的立面鋼木混合結構，定義出鋼木混合結構模型之極限狀態。分析結果顯示，本研究所提出之立面鋼木混合結構系統設計方法，可滿足FEMA P695 中倒塌裕度之需求。 |
| Title | A Simplified Seismic Design Method for Steel-Timber Hybrid Buildings Considering Shear Force Modification |
|---|---|
| Author | Kai-Jun Huang, Pei-Ching Chen |
| Keywords | steel-timber hybrid building, structural dynamic interaction, design seismic force, incremental dynamic analysis |
| Abstract | A steel-timber hybrid building consists of a conventional steel moment-resisting frame in its lower section, while the upper part is constructed with timber. In this study, a simplified method for structural design of steel-timber hybrid buildings has been proposed. It incorporates the dynamic interaction between the superstructure and the substructure into the existing Seismic Design Specifications and Commentary of Buildings in Taiwan. First a steel-timber hybrid building is simplified into a two degrees-of-freedom (2DOF) linear model. Parameter analysis is conducted to investigate the effects of the mass ratio and the frequency ratio of the superstructure to the substructure on the dynamic response of the 2DOF model. Accordingly, a seismic force modification factor can be defined, and the design seismic force for the upper timber structure can be calculated directly by using this modification factor. Meanwhile, the design seismic force for the lower steel structure can be determined individually by considering the base shear of the upper timber structure transmitted to the top of the lower steel structure. Four steel-timber hybrid buildings with different elevation have been designed based on the proposed method. OpenSees is used to build the nonlinear numerical model of the steel-timber hybrid buildings to perform nonlinear pushover analysis and incremental dynamic analysis (IDA). A total number of 44 earthquakes recommended in FEMA P695 are used for IDA. Based on FEMA P695 and relevant literature recommendations, the limit states of the steel-timber hybrid buildings can be assessed. The IDA results indicate that the Collapse Margin Ratios suggested in FEMA P695 is satisfied which demonstrates the applicability of the proposed simplified design method for design of steeltimber hybrid buildings in Taiwan. |
| 標題 | 經驗與統計格林函數法在地震動模擬上之應用與GUI 程式開發 |
|---|---|
| 作者 | 廖文義、陳垣廷 |
| 關鍵字 | 經驗格林函數法、統計格林函數法、MATLAB、強地動模擬 |
| 摘要 | 本研究利用經驗格林函數法 (empirical Green’s function method) 為主軸進行地震動模擬圖形使用者介面 (graphical user interface, GUI) 程式開發，其主要理論是利用已觀測到之小震加速度歷時進行疊加，以模擬同震源區發生大震時所產生之強震歷時，此方法可有效模擬大震之加速度歷時，另外為了解決經驗格林函數法無法對無小震紀錄之工址進行強地動模擬的問題，本研究則提出統計格林函數法 (statistical Green’s function method) 來模擬該工址之強地動加速度歷時，其主要理論是利用周邊測站所記錄到的小震加速度歷時，統計其地表加速度振幅譜、相位譜與震源距之關係，之後透過計算出之結果，將欲模擬點之震源距代入統計結果即可計算該工址之振幅譜與相位譜，接著將振幅譜與相位譜透過傅立葉逆轉換即可得該工址之小震加速度歷時，最後再將此小震加速度歷時代入經驗格林函數法中代替真實小震紀錄以模擬該工址之強地動，另外開發之GUI 程式中還包含了反應譜相符加速度歷時產生、因應特殊強地動效應調整譜型之用介面之功能。 |
| Title | Application and GUI Program Development of Empirical and Statistical Green’s Function Method in Earthquake Motion Simulation |
|---|---|
| Author | Wen-I Liao, Yuan-Ting Chen |
| Keywords | empirical Green’s function method, statistical Green’s function method, MATLAB, strong ground motion simulation |
| Abstract | This study primarily utilizes the empirical Green’s function method for seismic motion simulation graphical user interface (GUI) program development. The main theoretical concept involves the superposition of observed small earthquake event acceleration time histories to simulate the strong earthquake time history that occurs at the same site during a large earthquake. This method can effectively simulate acceleration time history of large earthquakes. To address the issue of the empirical Green’s function method being unable to simulate strong ground motion for locations without records of small earthquake events, this study proposes the statistical Green’s function method to simulate the strong ground motion acceleration time history at such sites. The main theory behind this approach is to use the recorded acceleration time histories of small earthquakes from surrounding monitoring stations to statistically analyze the relationship between ground acceleration amplitude spectra, phase spectra, and source-toreceiver distance. Subsequently, by calculating the results, the source-to-receiver distance for the desired simulation site can be used to calculate the amplitude spectra and phase spectra at that site. Then, by performing a Fourier inverse transform on the amplitude spectra and phase spectra, the acceleration time history of small earthquakes at that site can be obtained. Finally, this small earthquake event acceleration time history is used in place of actual small earthquake records in the empirical Green’s function method to simulate the strong ground motion at that site. Additionally, the developed GUI interface program includes functions for generating response spectrum-compatible acceleration time histories and amplifying acceleration time histories at specified period range. |
「結構工程」季刊第151期(第39卷第1期)
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中文網址: 第三十九卷第一期 (期別151)(113年)
英文網址: Vol.39 / No.1 (151)(2024)
若有任何意見歡迎 email 至 csse@csse.org.tw。
Special Issue:
Guest Editor: Professor Chien-Kuo Chiu, Professor Pei-Ching Chen
| Title | Analysis and Validation of Isolation Systems With Multi-Functional Friction Damper |
|---|---|
| Author | Chia-Shang Chang Chien, Shan-Ru Chen, Mei-Ting Guo |
| Keywords | performance test, conical friction pendulum isolators, multi-functional friction damper, seismic isolation system, shaking table test |
| Abstract | In recent years, earthquake disasters have gradually attracted global attention. Due to the unpredictability of earthquakes, whenever strong earthquakes occur, they often cause losses of people’s lives and property. In serious cases, they even affect the overall economic development of the country. The conical friction pendulum isolators (CFPI) is a seismic isolation system with the characteristic of extended structural period, which can improve the resonance effect produced by long-period velocity pulses of near-field seismic waves and fixed-period seismic isolation structures. Nevertheless, although the CFPI has an excellent seismic isolation effect in reducing acceleration of the superstructure, its base sliding displacement will amplify with the peak surface acceleration. The multi-functional friction dampers provide multi-stage activation mechanisms, and studies have shown that they have great shock absorption effects under different earthquake intensities when configured to structures. Therefore, the study in turn installed them in seismic base isolation layers to form a supplementary damping isolation system, improving the safety of the seismic isolator system under the effect of near-field seismic waves. According to the results of numerical simulation, the seismic isolation system with supplementary damping isolation has satisfactory vibration isolation effects regardless of affected by far- or near-field seismic waves. Additionally, to verify the theoretical formulas, the study also conducted the seismic performance test of the multifunctional supplementary damping system by shaking table and fit the results of the shaking table test and numerical simulation analysis. The results showed a fairly good fitting effect, which validates the accuracy of the theoretical formulas in this study. |
| Title | Bridge Scour Depth Prediction Using Phase Space Attractor and Deep Learning |
|---|---|
| Author | Chang-Yi Lee, Zu-yi Chen, Yen-Yu Yang, Shu-Wei Chang, Chang-Wei Huang |
| Keywords | bridge scouring, deep learning, embedding theorem, convolutional neural network |
| Abstract | Cross-river bridges often suffer attacks of the foundation scour. Scour can significantly reduce the stiffness and strength of a bridge foundation, resulting in damage or even collapse of the bridge. To ensure the safety of a soured bridge, it is important to develop a real-time scour monitoring system to measure the scour depth of the bridge. In this study, a data-driven method is proposed to measure the scour depth using time series data from accelerometers. The concept of attractor in the phase space is used to describe the dynamic characteristics of scoured bridges. High-dimensional attractors for scoured bridges are reconstructed by a single sensor based on Takens’ embedding theorem. The reconstructed attractors are converted into two-dimensional grayscale images, which are then identified by the convolutional neural network (CNN) to obtain the scour depth. The accuracy of the proposed method is verified by the dynamic responses of bridges with different scour depths subjected to ambient vibrations from numerical simulations. The results demonstrate that the proposed data-driven method can determine the scour depth more accurately than conventional vibration-based methods in the case when the scour is not severe. |
| Title | Study of Aspect Ratios for Base Isolated Buildings With Lead-Rubber Bearings |
|---|---|
| Author | Yi-Chian Wu, Chia-Ming Chang, Cho-Yen Yang |
| Keywords | base isolation, elastomeric bearing, stability, aspect ratios, nonlinear time history analysis |
| Abstract | Seismic isolation shifts the fundamental frequency of structures away from the dominant frequencies of earthquakes by employing bearings with low horizontal stiffness, resulting in reduced responses of superstructures. However, an isolated building with a higher aspect ratio may introduce excessive overturning moments that can further cause tensile failure to bearings. Moreover, the elastomeric bearings, which are familiar and common in Taiwan, consist of laminated rubber layers with in-between steel shims, yielding complicated and coupled mechanics. Thus, the stability of the isolation bearings and the overall structural system should be concurrently considered. Such complicated behavior for an isolated building with elastomeric bearings as mentioned above may not be simulated or presented by conventional analysis in practical application. Therefore, this research studies the coupling effect for base isolated buildings with lead-rubber bearings, and then the relationship between aspect ratios and selected isolation bearings is constructed. In this research, the superstructure is simplified to be single-degreeof-freedom and mounted on an isolation system consisting of a rigid floor and two bearings. Each bearing is modeled by a simple mechanical model proposed by Koh and Kelly to consider the coupling effect. Based on the tension prevention of bearings, an aspect ratio criterion is also derived and proposed. This aspect ratio criterion is further verified by time history analyses which consider various factors, such as the period of superstructure, isolation period, fault effect, and layout of bearings. As found in the parametric study, an isolated building designed by the proposed aspect ratio formula has a pretty low probability of tensile failures on bearings, as compared to the recommendation in the Japanese design code. Thus, the proposed aspect ratio criterion is more conservative and can be consequently a reference for engineers in the preliminary design phases of base isolated buildings with lead-rubber bearings. |
| Title | Application of Hybrid Testing in a RC Structure With Seismic Retrofitting |
|---|---|
| Author | Fu-Pei Hsiao, Lyan-Ywan Lu, Hung Cheng, Bo-Tse Hsu, Shih-Wei Yeh |
| Keywords | hybrid testing, RC structure, seismic retrofitting, open framework, OpenSees, OpenFresco |
| Abstract | The most realistic experimental method for evaluating the behavior of reinforced concrete (RC) structures under ground motion is a shaking table test (STT). However, the construction of RC shaking table test specimens is costly, and the shaking table equipment usually has limited capabilities; therefore, conducting a large-scale structure test using a STT is difficult. To this end, this paper aims to develop a cost-effective hybrid testing (HT) technique that combines numerical simulation with large-scale structural experiments to test the nonlinear response of large-scale RC structures under strong ground motions. To make the result more applicable, this paper adopts the framework of an open-source hybrid testing technology. The technique used the OpenSees (Open System for Earthquake Engineering Simulation) as an open-source finite-element analysis software to build the RC nonlinear numerical substructure (NS) and the OpenFresco (Open source Framework for Experimental Setup and Control) as an open-source middle software to connect the physical substructure (PS) and a controller, which was connected to the hydraulic facility in Tainan Laboratory of the National Center for Research on Earthquake Engineering (NCREE). In the HT of this study, the target structure was a seven-story RC structure. The PS was taken to be the first-floor middle span retrofitted by an embedded RC portal frame, while the remaining structure, treated as the NS, was simulated by an OpenSees nonlinear numerical model with plastic hinges. The HT result demonstrates that the seismic responses of the retrofitted RC structure predicted by the HT experimental result match very well with the theoretical values predicted by a nonlinear finite-element model. The average difference between the experimental and theoretical first-floor displacements is merely 5%. The nonlinear behavior contributed by the plastic hinge was also observed in the test. This study confirms that by cooperating with the existing hydraulic facility in Tainan Laboratory of the NCREE, the established open-framework HT technique with a nonlinear numerical substructure is a feasible means for the experimental study of a large-scale RC structure. |
| Title | New Seismic Attenuation Technology: Resonator-Type Metamaterial |
|---|---|
| Author | Yuan-Yu Lo, Tung-Yu Wu, Shiang-Jung Wang |
| Keywords | seismic metamaterial, finite element analysis, local resonance, bandgap |
| Abstract | Seismic metamaterials represent a novel earthquake-resistance technology. By manipulating wave propagation through artificial structures, they create regions where waves of specific frequencies cannot pass, preventing seismic waves of primary frequencies from reaching structures. Currently, seismic metamaterials face two major challenges: (1) the band gap frequency of the metamaterial is relatively higher than the primary frequency of earthquakes, and (2) there is a lack of metamaterials specifically designed for body waves. In light of this, our study designs a new low-frequency (0.35–1.5 Hz) seismic metamaterial unit targeting body waves based on duallayer tube-type resonators. Row and ordering analyses were conducted to determine the optimal arrangement of metamaterial units for reduction effects. The influence of the soil layer outside the metamaterial on its reduction effect was also investigated. Simulation results show that a group of four consecutive metamaterial units is the most economical arrangement, and the reduction effect of the metamaterial on SH waves was sensitive to the thickness of the soil layer. A subsequent ground response analysis demonstrated that when excited by actual seismic waves, the designed metamaterial units can reduce the spectral acceleration at the corresponding metamaterial band gap period to half, indicating the promising potential of the dual-layer tube-type resonators. |
第十六屆結構工程暨第六屆地震工程研討會特刊
客座主編：邱建國教授、陳沛清教授
| 標題 | 「第十六屆結構工程暨第六屆地震工程研討會」特刊引言 |
| 作者 | 邱建國、陳沛清 |
第十六屆結構工程研討會暨第六屆地震工程研討會於民國111 年8 月24 日至26 日在淡水將捷金鬱金香酒店成功舉辦，吸引了來自國內學術與工程領域的508 位專家學者參與，共同探討並分享國內結構工程與地震工程最新的研究成果和工程見解。時光匆匆，一年多的時光已逝，回顧起第十六屆結構工程研討會暨第六屆地震工程研討會，每位與會者都對大會做出了難以磨滅的貢獻。然而，由於審查委員推薦論文的限制，難免有一些優秀的研究未能被收錄，這是一件令人感到遺憾的事情。 本期結構工程期刊特別收錄了該研討會中最新的隔減震技術、深度學習與實驗技術應用相關研究成果，包括以下五篇論文：〈多功式隔震系統之性能測試與驗證〉、〈結合相空間吸引子與深度學習於橋梁沖刷深度預測之應用〉、〈基於鉛心橡膠支承基底隔震建築之高寬比探討〉、〈複合實驗於鋼筋混凝土結構耐震補強試驗之應用〉以及〈新型隔減震技術：共振筒形地震超材料〉。希冀藉由這些篇章的介紹，讓讀者能夠深入瞭解學界在隔減震技術、深度學習與實驗技術應用方面的最新研究成果和發展趨勢，進一步促進台灣在結構工程與地震工程領域的技術發展，不斷追求創新與進步。 國立台灣科技大學營建工程系 邱建國 教授 |
| 標題 | 多功式隔震系統之性能測試與驗證 |
|---|---|
| 作者 | 張簡嘉賞、陳珊汝、郭美廷 |
| 關鍵字 | 性能測試、錐形摩擦單擺支承、多功式摩擦阻尼器、隔震系統、振動台試驗 |
| 摘要 | 近年來地震災害逐漸受到全球重視，因地震的不可預測性，故每當強烈地震來臨時往往造成人民生命財產的損失，嚴重則會影響國家整體經濟發展。錐形摩擦單擺支承 (conical friction pendulum isolators, CFPI) 為具延長結構週期特性之隔震系統，可改善近域震波長週期速度脈衝與固定週期隔震結構產生之共振效應。然研究指出CFPI 對於降低上部結構加速度雖具有相當優異之隔震成效，惟其基礎滑動位移量會隨尖峰地表加速度而呈放大之現象。多功式摩擦阻尼器 (multi-functional friction damper, MFD) 具備不同階段之啟動機制，經研究證實，於結構中配置MFD 時，於不同地震強度之作用下具備相當優異之減震效益。故本研究嘗試於基礎隔震層中加入MFD，組成多功式增補阻尼隔震系統，以提升隔震系統於受近域震波作用下安全性。經數值模擬結果顯示，具多功式增補阻尼之隔震系統不論受近、遠域震波作用下，均具有相當優異之隔震效果。此外，為驗證理論方程式之證確性，本研究亦經由振動台試驗，進行含多功式增補阻尼隔震系統之隔震性能測試，並利用振動台測試所得之試驗數據與數值模擬分析之結果進行擬合，其結果顯示，數值模擬分析與振動台試驗具有不錯的擬合程度，亦驗證本研究所提出之理論公式的正確性。 |
| Title | Analysis and Validation of Isolation Systems With Multi-Functional Friction Damper |
|---|---|
| Author | Chia-Shang Chang Chien, Shan-Ru Chen, Mei-Ting Guo |
| Keywords | performance test, conical friction pendulum isolators, multi-functional friction damper, seismic isolation system, shaking table test |
| Abstract | In recent years, earthquake disasters have gradually attracted global attention. Due to the unpredictability of earthquakes, whenever strong earthquakes occur, they often cause losses of people’s lives and property. In serious cases, they even affect the overall economic development of the country. The conical friction pendulum isolators (CFPI) is a seismic isolation system with the characteristic of extended structural period, which can improve the resonance effect produced by long-period velocity pulses of near-field seismic waves and fixed-period seismic isolation structures. Nevertheless, although the CFPI has an excellent seismic isolation effect in reducing acceleration of the superstructure, its base sliding displacement will amplify with the peak surface acceleration. The multi-functional friction dampers provide multi-stage activation mechanisms, and studies have shown that they have great shock absorption effects under different earthquake intensities when configured to structures. Therefore, the study in turn installed them in seismic base isolation layers to form a supplementary damping isolation system, improving the safety of the seismic isolator system under the effect of near-field seismic waves. According to the results of numerical simulation, the seismic isolation system with supplementary damping isolation has satisfactory vibration isolation effects regardless of affected by far- or near-field seismic waves. Additionally, to verify the theoretical formulas, the study also conducted the seismic performance test of the multifunctional supplementary damping system by shaking table and fit the results of the shaking table test and numerical simulation analysis. The results showed a fairly good fitting effect, which validates the accuracy of the theoretical formulas in this study. |
| 標題 | 結合相空間吸引子與深度學習於橋梁沖刷深度預測之應用 |
|---|---|
| 作者 | 李昶毅、陳祖翊、楊晏瑜、張書瑋、黃仲偉 |
| 關鍵字 | 橋梁沖刷、深度學習、嵌入定理、卷積神經網絡 |
| 摘要 | 跨河橋梁經常遭遇基礎沖刷的問題，沖刷可能導致橋梁基礎勁度和強度的顯著降低，從而造成橋梁損壞甚至倒塌。為確保橋梁的安全，開發即時沖刷監測系統來量測橋梁的沖刷深度對於橋梁安全的維護非常重要。本研究提出了一種資料驅動(data-driven) 的深度學習 (deep learning, DL) 方法，透過加速度計歷時訊號的特性來量測沖刷深度。本法主要是利用相空間中吸引子的概念來描述沖刷橋梁的動態特性，基於Takens 嵌入定理將單顆加速度計的歷時訊號來重構沖刷橋梁的高維吸引子。其次，將重建的高維吸引子轉換為二維灰階影像，利用卷積神經網絡 (convolutional neural network, CNN) 識別以獲得沖刷深度。本研究利用數值模擬中不同沖刷深度的橋梁在環境振動下的動力反應，來驗證本文所提方法的準確性。測試結果同時也表明，本文所提出的DL 方法可以比傳統基於振動頻率改變量迴歸公式的方法更準確 地預測沖刷深度。 |
| Title | Bridge Scour Depth Prediction Using Phase Space Attractor and Deep Learning |
|---|---|
| Author | Chang-Yi Lee, Zu-yi Chen, Yen-Yu Yang, Shu-Wei Chang, Chang-Wei Huang |
| Keywords | bridge scouring, deep learning, embedding theorem, convolutional neural network |
| Abstract | Cross-river bridges often suffer attacks of the foundation scour. Scour can significantly reduce the stiffness and strength of a bridge foundation, resulting in damage or even collapse of the bridge. To ensure the safety of a soured bridge, it is important to develop a real-time scour monitoring system to measure the scour depth of the bridge. In this study, a data-driven method is proposed to measure the scour depth using time series data from accelerometers. The concept of attractor in the phase space is used to describe the dynamic characteristics of scoured bridges. High-dimensional attractors for scoured bridges are reconstructed by a single sensor based on Takens’ embedding theorem. The reconstructed attractors are converted into two-dimensional grayscale images, which are then identified by the convolutional neural network (CNN) to obtain the scour depth. The accuracy of the proposed method is verified by the dynamic responses of bridges with different scour depths subjected to ambient vibrations from numerical simulations. The results demonstrate that the proposed data-driven method can determine the scour depth more accurately than conventional vibration-based methods in the case when the scour is not severe. |
| 標題 | 基於鉛心橡膠支承基底隔震建築之高寬比探討 |
|---|---|
| 作者 | 巫宜謙、張家銘、楊卓諺 |
| 關鍵字 | 基底隔震、彈性支承、穩定性、高寬比、非線性歷時分析 |
| 摘要 | 隔震結構乃利用低側向勁度之隔震支承，延長結構的第一自然週期，使該週期遠離地震之主要頻率內涵，進而降低上部結構之加速度反應。然而，如果上部結構的高寬比過高，會引致較大的傾覆彎矩，進而對隔震支承產生軸拉力，造成支承破壞。再者，對於國內常見的彈性支承而言，因橡膠材料並與鋼板積層堆疊黏著，其力學更加複雜且具備耦合之特性，需考慮支承甚或整體隔震結構之穩定性。然而， 傳統隔震設計所採用之分析模型，往往未能忠實呈現軸拉力及傾覆彎矩。因此，本研究針對採用彈性支承之建築結構，根據理論、推導及分析，系統性探討支承的穩定性及破壞。於模型中，將整體隔震結構簡化為兩集中質量，上部結構採單自由度模擬，隔震系統含兩個隔震支承並以一剛性樓板與上部結構相連；彈性支承採Koh-Kelly 模型，以呈現剪切、撓曲與軸向複合作用，進而推導運動方程。於推導中， 彈性支承以不受拉力為目標，可得簡化之隔震結構建議高寬比，加上前述理論模型，以非線性歷時分析進行探討與驗證。理論分析中，考慮多項因素，包含上部結構週期、隔震週期、斷層考量與支承數量，以便驗證高寬比建議式之適用性。模擬結果顯示，本文所提之高寬比建議式，相對日本規範之建議，較為保守；然以本文之範例而言，確實呈現無或甚低之機率於支承發生拉拔。因此，本文之建議高寬比，可供工程師在進行初設時，先期掌握或估算隔震結構之極限高寬比，以判斷支承在地震時有無受軸拉力破壞之疑慮，增進結構設計之效率。 |
| Title | Study of Aspect Ratios for Base Isolated Buildings With Lead-Rubber Bearings |
|---|---|
| Author | Yi-Chian Wu, Chia-Ming Chang, Cho-Yen Yang |
| Keywords | base isolation, elastomeric bearing, stability, aspect ratios, nonlinear time history analysis |
| Abstract | Seismic isolation shifts the fundamental frequency of structures away from the dominant frequencies of earthquakes by employing bearings with low horizontal stiffness, resulting in reduced responses of superstructures. However, an isolated building with a higher aspect ratio may introduce excessive overturning moments that can further cause tensile failure to bearings. Moreover, the elastomeric bearings, which are familiar and common in Taiwan, consist of laminated rubber layers with in-between steel shims, yielding complicated and coupled mechanics. Thus, the stability of the isolation bearings and the overall structural system should be concurrently considered. Such complicated behavior for an isolated building with elastomeric bearings as mentioned above may not be simulated or presented by conventional analysis in practical application. Therefore, this research studies the coupling effect for base isolated buildings with lead-rubber bearings, and then the relationship between aspect ratios and selected isolation bearings is constructed. In this research, the superstructure is simplified to be single-degreeof-freedom and mounted on an isolation system consisting of a rigid floor and two bearings. Each bearing is modeled by a simple mechanical model proposed by Koh and Kelly to consider the coupling effect. Based on the tension prevention of bearings, an aspect ratio criterion is also derived and proposed. This aspect ratio criterion is further verified by time history analyses which consider various factors, such as the period of superstructure, isolation period, fault effect, and layout of bearings. As found in the parametric study, an isolated building designed by the proposed aspect ratio formula has a pretty low probability of tensile failures on bearings, as compared to the recommendation in the Japanese design code. Thus, the proposed aspect ratio criterion is more conservative and can be consequently a reference for engineers in the preliminary design phases of base isolated buildings with lead-rubber bearings. |
| 標題 | 複合實驗於鋼筋混凝土結構耐震補強試驗之應用 |
|---|---|
| 作者 | 蕭輔沛、盧煉元、鄭弘、許博策、葉士瑋 |
| 關鍵字 | 複合實驗、鋼筋混凝土結構、耐震補強實驗、開放式實驗架構、OpenSees、OpenFresco |
| 摘要 | 若欲瞭解鋼筋混凝土 (reinforced concrete, RC) 結構物受地震力時之反應，最接近真實行為之實驗方法為振動台實驗。然而，RC 結構振動台實驗之試體模型需花費高昂的成本建立，且振動台設備能力有限，難以進行大尺度之結構實驗。有鑑於此，本文擬發展結合數值運算與大型結構實驗之複合實驗 (hybrid testing) 技術，以便以較為經濟的方式完整測試大尺度RC 結構於強震下之非線性反應。為使研究成果具廣泛之應用性，本文採用具開放性之複合實驗技術架構，亦即於建立RC 非線性數值子結構時採用OpenSees (Open System for Earthquake Engineering Simulation) 開放式有限元素分析軟體；而於RC 構架物理子結構及實驗設備控制連接方面則採用OpenFresco (Open source Framework for Experimental Setup and Control) 開放式中介軟體，以連接國家地震工程研究中心台南實驗室之油壓致動設備。本文複合實驗之標的結構為一棟七層樓RC 補強結構，物理子結構為一樓中間跨經內嵌式門型構架補強後之RC 構架，其餘結構構件則以OpenSees 建立含塑鉸之非線性數值子結構模型。實驗結果顯示，本文所建立之非線性複合實驗方法所預估之RC 結構地震反應與有限元理論分析結果十分吻合，各樓層層間變位角之最大平均差異皆在5% 以內，並確認數值子結構中之塑鉸於強震中已啟動參與計算，由此驗證開放式複合實驗以非線性數值子結構進行模擬之可行性，同時配合國家地震工程研究中心台南實驗室既有之油壓控制設備可成功的進行大型RC 結構複合實驗。 |
| Title | Application of Hybrid Testing in a RC Structure With Seismic Retrofitting |
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| Author | Fu-Pei Hsiao, Lyan-Ywan Lu, Hung Cheng, Bo-Tse Hsu, Shih-Wei Yeh |
| Keywords | hybrid testing, RC structure, seismic retrofitting, open framework, OpenSees, OpenFresco |
| Abstract | The most realistic experimental method for evaluating the behavior of reinforced concrete (RC) structures under ground motion is a shaking table test (STT). However, the construction of RC shaking table test specimens is costly, and the shaking table equipment usually has limited capabilities; therefore, conducting a large-scale structure test using a STT is difficult. To this end, this paper aims to develop a cost-effective hybrid testing (HT) technique that combines numerical simulation with large-scale structural experiments to test the nonlinear response of large-scale RC structures under strong ground motions. To make the result more applicable, this paper adopts the framework of an open-source hybrid testing technology. The technique used the OpenSees (Open System for Earthquake Engineering Simulation) as an open-source finite-element analysis software to build the RC nonlinear numerical substructure (NS) and the OpenFresco (Open source Framework for Experimental Setup and Control) as an open-source middle software to connect the physical substructure (PS) and a controller, which was connected to the hydraulic facility in Tainan Laboratory of the National Center for Research on Earthquake Engineering (NCREE). In the HT of this study, the target structure was a seven-story RC structure. The PS was taken to be the first-floor middle span retrofitted by an embedded RC portal frame, while the remaining structure, treated as the NS, was simulated by an OpenSees nonlinear numerical model with plastic hinges. The HT result demonstrates that the seismic responses of the retrofitted RC structure predicted by the HT experimental result match very well with the theoretical values predicted by a nonlinear finite-element model. The average difference between the experimental and theoretical first-floor displacements is merely 5%. The nonlinear behavior contributed by the plastic hinge was also observed in the test. This study confirms that by cooperating with the existing hydraulic facility in Tainan Laboratory of the NCREE, the established open-framework HT technique with a nonlinear numerical substructure is a feasible means for the experimental study of a large-scale RC structure. |
| 標題 | 新型隔減震技術：共振筒形地震超材料 |
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| 作者 | 羅元佑、吳東諭、汪向榮 |
| 關鍵字 | 地震超材料、有限元素法、局部共振、帶隙 |
| 摘要 | 地震超材料 (seismic metamaterial) 為全新之抗震技術，透過人造結構改變波傳行為，產生特定頻率之波傳無法通過的區域，防止具高破壞性頻率的地震波傳至結構物，達到保護結構物效果。目前地震超材料面臨兩大困難：(1) 超材料帶隙頻率相較於地震主頻過高；(2) 缺少針對體波的地震超材料。有鑑於此，本研究藉由 Kalderon 等人所提出的雙層質量共振筒公式，設計新型的低頻率 (0.35–1.5 Hz)、針對體波的地震超材料單元，並以數值模擬方法確認其折減效益。首先以單元晶格頻散分析確定帶隙範圍。同時進行排數分析及排序分析確認產生折減效果所需的超材料單元數及最佳排列方式，顯示所設計的超材料單元四個為一組，為最經濟之排列方式。此外，探討超材料外側土壤厚度對折減效益的影響，並接續透過地盤反應分析，確認超材料在實際地震下對SH 波的折減效益容易受到側向土體量影響，但側向土體量對P 波下的折減效益則不顯著。最後，真實地震下反應分析顯示超材料單元在實際地震P 波與SH 波激發下，可折減超材料帶隙對應週期之結構物譜加速度至原本的一半，顯示目前設計的共振筒型超材料具備發展潛力。 |
| Title | New Seismic Attenuation Technology: Resonator-Type Metamaterial |
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| Author | Yuan-Yu Lo, Tung-Yu Wu, Shiang-Jung Wang |
| Keywords | seismic metamaterial, finite element analysis, local resonance, bandgap |
| Abstract | Seismic metamaterials represent a novel earthquake-resistance technology. By manipulating wave propagation through artificial structures, they create regions where waves of specific frequencies cannot pass, preventing seismic waves of primary frequencies from reaching structures. Currently, seismic metamaterials face two major challenges: (1) the band gap frequency of the metamaterial is relatively higher than the primary frequency of earthquakes, and (2) there is a lack of metamaterials specifically designed for body waves. In light of this, our study designs a new low-frequency (0.35–1.5 Hz) seismic metamaterial unit targeting body waves based on duallayer tube-type resonators. Row and ordering analyses were conducted to determine the optimal arrangement of metamaterial units for reduction effects. The influence of the soil layer outside the metamaterial on its reduction effect was also investigated. Simulation results show that a group of four consecutive metamaterial units is the most economical arrangement, and the reduction effect of the metamaterial on SH waves was sensitive to the thickness of the soil layer. A subsequent ground response analysis demonstrated that when excited by actual seismic waves, the designed metamaterial units can reduce the spectral acceleration at the corresponding metamaterial band gap period to half, indicating the promising potential of the dual-layer tube-type resonators. |
