「結構工程」季刊第159期(第41卷第1期)
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中文網址: 第41卷第1期 (2026)
英文網址: Vol.41 / No.1 (2026)
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Vol.41/No.1 (159) (2026)
Vol.41/No.1 (159) (2026)
| Title | Nonlinear Dynamic Analysis-Based Seismic Performance Assessment Method for Structures With Mass Dampers |
|---|---|
| Author | Ging-Long Lin, Lyan-Ywan Lu, Tian-Zhi Yu |
| Keywords | performance assessment, mass dampers, nonlinear structure, seismic mitigation assessment, Bouc-Wen model, variable-stiffness mass damper |
| Abstract | The design and seismic performance evaluation of traditional passive tuned mass dampers (TMD) are typically based on the assumption that the primary structure behaves as a linear system. However, when the primary structure enters a nonlinear state during seismic excitation, its natural frequency becomes time-dependent, resulting in a detuning effect that may degrades the vibration mitigation performance of the TMD. In response to this limitation, this study aims to develop a nonlinear dynamic analysis-based performance assessment method for evaluating the control effectiveness of mass dampers installed in nonlinear structures. As a demonstration, the proposed assessment method is used to investigate the performance of a nonlinear structure equipped with a mass damper with controllable stiffness (MDCS). A nonlinear model of a full scale three-story steel structure was first developed based on shaking table test data and used as the foundation for MDCS parameter design and subsequent numerical simulations. A set of 20 ground motions compatible with the design response spectrum was selected to evaluate the seismic control performance of the MDCS system. The intensities of these ground motions were scaled to three codified intensity levels: service level earthquake (SLE), design basis earthquake (DBE), and maximum considered earthquake (MCE). The assessment results indicate that even under strong ground motions at the MCE level, when the structure exhibits nonlinear behavior, the MDCS still provides effective vibration control, with performance roughly equal to that of an optimally designed passive TMD. Moreover, it significantly reduces the required maximum stroke as compared to the passive system, highlighting its practical advantages and potential for implementation in real-world engineering applications. |
| Title | Study on the Ground Response of Underground Structures at Different Burial Depths Using FLAC3D Byrne Model |
|---|---|
| Author | Jin-Yueih Bair |
| Keywords | Byrne model, mechanised shield tunnelling, soil liquefaction, excess pore water pressure |
| Abstract | This study uses the Byrne model provided by FLAC3D (fast Lagrangian analysis of continua in 3 dimensions) to calculate soil liquefaction, simulating the impact of the ground on pore water pressure under the dynamic action of a wave field, both in the absence and presence of underground structures. The research results indicate that whether an underground structure is solid and its burial depth affects the pore water pressure above and below the underground structure.; In the absence of underground structures, the excess pore water pressure caused by an earthquake decreases with increasing ground cover depth. In the presence of underground structures, the uplift of the ground caused by an earthquake reduces the pore water pressure to zero, resulting in a loose soil condition. When designing underground stations and shield tunnels in metropolitan areas, if the Japan Road Association’s Common Tunnel Design Guidelines definition and calculation formula for the safety factor of the underground structure’s anti buoyancy stability are used to assess the anti-buoyancy stability of the underground structure, the calculation of excess pore water pressure needs to be carefully evaluated. |
| Title | Optimizing Robustness of Tuned Mass Dampers in Offshore Wind Turbine Tower Structures |
|---|---|
| Author | Ching Yen, Qian-Rui Cai, Peng-Tai Chan |
| Keywords | tuned mass damper, offshore wind turbine tower, structural optimization, parameter uncertainty, inverse element exchange method |
| Abstract | Avoiding detuning effects is a major challenge in the design of tuned mass dampers (TMD), making the improvement of system robustness crucial. This study optimizes vibration control for offshore wind turbine tower structures using a single tuned mass damper (STMD) configuration as the initial design. Latin hypercube sampling (LHS) is employed to introduce variations in the overall mass and stiffness of the structure, simulating the uncertainties of the actual structure. T he study utilizes inverse element exchange with multi-level programming (multi-level inverse element exchange method, MulIEEM) to optimize the mass, stiffness, and damping parameters of the multiple tuned mass dampers (MTMD) for three different objective functions: minimizing the sample mean, minimizing the sample standard deviation, and minimizing a single sample (i.e., the deterministic structure). External force modeling is performed under various wind and wave conditions. The results show that each optimized configuration significantly improves statistical indicators such as the maximum displacement mean and standard deviation. MulIEEM effectively guides the configuration to reduce response and improve robustness. Considering both control performance and computational efforts, optimization using a single sample simultaneously achieves both vibration reduction and robustness. |
| Title | Design Strategies for Surface Wave Attenuation Using Above-Ground Seismic Metamaterials |
|---|---|
| Author | Yu-Chi Su, Gu-Hui Zhou, Chen-Kai Zhang |
| Keywords | seismic metamaterials, geometric design, Rayleigh wave |
| Abstract | In recent years, numerous above-ground seismic metamaterial designs targeting surface waves—the most destructive type of seismic waves to buildings—have been proposed. However, the lack of systematic cross-model comparison and analysis has made it difficult to identify which single-material geometric configuration is most effective for attenuating seismic surface waves. To address this issue, this study simplifies and categorizes existing designs in the literature into four representative models: an upright rectangular prism, a horizontal rectangular prism, a downward-pointing regular tetrahedron, and an upward-pointing regular tetrahedron. These models respectively represent the pillar-type, planar-type, upper-mass-concentrated, and lower-mass-concentrated seismic metamaterial configurations classified in this work. All four models adopt a periodic arrangement with a lattice constant of 2.5 m and are analyzed under identical volume and material properties using finite element simulations to obtain and compare the band structures. The results show that the downward-pointing tetrahedron produces the widest and lowest-frequency bandgaps, spanning 1.21–2.89 Hz and 6.12–9.24 Hz. The upright rectangular prism follows, exhibiting bandgaps of 7.07–7.96 Hz and 10.76–13.08 Hz. In contrast, the horizontal prism generates only a narrow bandgap, while the upward-pointing tetrahedron produces no bandgap. Overall, the upper-mass-concentrated configuration achieves the best low-frequency attenuation performance, though it is less stable in practical construction. The pillar-type configuration offers narrower bandgaps but provides superior structural stability and feasibility. Through the comparative analysis of these four models, this study establishes a set of design strategies for seismic metamaterials intended for Rayleigh wave attenuation. |
| Title | Offline Synchronization and Modal Analysis Based on Variational Modal Decomposition |
|---|---|
| Author | Hao-Che Lin, Shieh-Kung Huang, Yung-Bin Lin, Wen-Tzong Liang, Yu-Fu Hsieh |
| Keywords | structural health monitoring, low-cost sensing system, modal analysis, variational mode decomposition, offline synchronization |
| Abstract | With the increasing applications of wireless sensor networks (WSN) or low-cost sensing systems in structural health monitoring (SHM) technology, the feasibility of providing safety assessments and maintenance throughout a structure’s service life has improved significantly. However, time delays of each channel in measurement have become more prevalent since then. These delays often arise from the differences in sensor startup times, internal clock errors, or inconsistent sampling frequencies, resulting in distorted modal shapes and reduced accuracy and reliability in modal analysis. To address this issue, this study combines variational mode decomposition (VMD) with cross-correlation (CC) functions for delay estimation and signal synchronization processing. Furthermore, an experimental study and a field monitoring verification are conducted to examine the stability and practicality of the proposed method. Meanwhile, stochastic subspace identification (SSI) is employed as the primary modal analysis tool, demonstrating how synchronization or lack thereof affects the identification results of a structure’s vibration modes. As a result, the proposed method exhibits excellent stability and adaptability, effectively handling asynchronous signals, enhancing the accuracy of modal parameter identification, and reducing reliance on synchronization hardware. |
第四十一卷第一期 (期別159) (115年)
第四十一卷第一期 (期別159) (115年)
| 標題 | 非線性動力分析性能評估法於裝設質量阻尼器結構 之減震效能評估應用 |
|---|---|
| 作者 | 林錦隆、盧煉元、于天智 |
| 關鍵字 | 性能評估、質量阻尼器、非線性結構、減震效能評估、文氏模型、變頻式 質量阻尼器 |
| 摘要 | 在傳統調諧質量阻尼器 (tuned mass damper, TMD) 之設計與減震效能評估中， 通常假設主結構為線性系統。然而，當主結構於地震過程中進入非線性狀態時， 其自振頻率將隨時間變化，導致TMD產生離頻效應 (detuning effect)，進而影響 其減震效能。有鑑於此，本文旨在發展一套系統化的非線性動力分析性能評估法， 作為評估非線性結構配置質量阻尼器減震效能之依據。文中並以一棟配置勁度可 控式質量阻尼器 (mass damper with controllable stiffness, MDCS) 之非線性結構為 例，系統化的評估MDCS於不同地震強度下之減震效能。本文首先透過振動台實 驗資料，建立一棟3層樓足尺鋼構主結構之非線性模型，作為設計MDCS參數與 進行數值模擬之基礎。接續選用20筆與設計反應譜相符 (compatible) 之震波，進 行MDCS減震效能評估；震波強度則依據台灣耐震設計規範中某震區之設計係數與 危害度曲線，分為三種地震等級：常態地震力 (service level earthquake, SLE)、設 計地震力 (design basis earthquake, DBE) 與最大考量地震力 (maximum considered earthquake, MCE)。評估結果顯示，即使在MCE強震作用下結構進入非線性行為 時MDCS仍具減震能力，其減震效能與經最佳化設計之被動TMD相當，且在大多 數情況下可大幅降低最大衝程需求，展現良好之實務應用潛力。 |
| Title | Nonlinear Dynamic Analysis-Based Seismic Performance Assessment Method for Structures With Mass Dampers |
|---|---|
| Author | Ging-Long Lin, Lyan-Ywan Lu, Tian-Zhi Yu |
| Keywords | performance assessment, mass dampers, nonlinear structure, seismic mitigation assessment, Bouc-Wen model, variable-stiffness mass damper |
| Abstract | The design and seismic performance evaluation of traditional passive tuned mass dampers (TMD) are typically based on the assumption that the primary structure behaves as a linear system. However, when the primary structure enters a nonlinear state during seismic excitation, its natural frequency becomes time-dependent, resulting in a detuning effect that may degrades the vibration mitigation performance of the TMD. In response to this limitation, this study aims to develop a nonlinear dynamic analysis-based performance assessment method for evaluating the control effectiveness of mass dampers installed in nonlinear structures. As a demonstration, the proposed assessment method is used to investigate the performance of a nonlinear structure equipped with a mass damper with controllable stiffness (MDCS). A nonlinear model of a full scale three-story steel structure was first developed based on shaking table test data and used as the foundation for MDCS parameter design and subsequent numerical simulations. A set of 20 ground motions compatible with the design response spectrum was selected to evaluate the seismic control performance of the MDCS system. The intensities of these ground motions were scaled to three codified intensity levels: service level earthquake (SLE), design basis earthquake (DBE), and maximum considered earthquake (MCE). The assessment results indicate that even under strong ground motions at the MCE level, when the structure exhibits nonlinear behavior, the MDCS still provides effective vibration control, with performance roughly equal to that of an optimally designed passive TMD. Moreover, it significantly reduces the required maximum stroke as compared to the passive system, highlighting its practical advantages and potential for implementation in real-world engineering applications. |
| 標題 | 以FLAC3D Byrne模型探討地下構造物於不同埋置 深度之地層反應 |
|---|---|
| 作者 | 白郁宇 |
| 關鍵字 | Byrne模型、潛盾隧道、土壤液化、超額孔隙水壓力 |
| 摘要 | 本研究利用FLAC3D (fast Lagrangian analysis of continua in 3 dimensions) 所提 供計算土體液化的Byrne模型，模擬地下構造物不存在與存在的情況下，地盤在波 動場的動力作用下對孔隙水壓的影響。研究結果說明，地下結構物的實心與否及埋 深，會影響地下結構物上方和下方地盤的孔隙水壓力大小；在沒有地下構造物存的 情況下，因地震所引起的超額孔隙水壓力隨著地盤覆土深度的增加而減少；在有地 下構造物存的情況下，因地震所引起的地盤向上浮托使得孔隙水壓力下降至0，地 盤土壤呈現鬆散狀況。在都會區設計地下車站和潛盾隧道，如採用日本道路協會「共 同溝設計指針」地下構造物抗上浮安全係數定義及計算公式來評估地下構造物抗浮 穩定性，對於超額孔隙水壓力的計算，需要謹慎評估。 |
| Title | Study on the Ground Response of Underground Structures at Different Burial Depths Using FLAC3D Byrne Model |
|---|---|
| Author | Jin-Yueih Bair |
| Keywords | Byrne model, mechanised shield tunnelling, soil liquefaction, excess pore water pressure |
| Abstract | This study uses the Byrne model provided by FLAC3D (fast Lagrangian analysis of continua in 3 dimensions) to calculate soil liquefaction, simulating the impact of the ground on pore water pressure under the dynamic action of a wave field, both in the absence and presence of underground structures. The research results indicate that whether an underground structure is solid and its burial depth affects the pore water pressure above and below the underground structure.; In the absence of underground structures, the excess pore water pressure caused by an earthquake decreases with increasing ground cover depth. In the presence of underground structures, the uplift of the ground caused by an earthquake reduces the pore water pressure to zero, resulting in a loose soil condition. When designing underground stations and shield tunnels in metropolitan areas, if the Japan Road Association’s Common Tunnel Design Guidelines definition and calculation formula for the safety factor of the underground structure’s anti buoyancy stability are used to assess the anti-buoyancy stability of the underground structure, the calculation of excess pore water pressure needs to be carefully evaluated. |
| 標題 | 離岸風機塔架結構之調諧質量阻尼器之 強健性最佳化設計 |
|---|---|
| 作者 | 顏晴、蔡謙睿、詹鵬台 |
| 關鍵字 | 調諧質量阻尼器、離岸風機塔架、結構最佳化、參數不確定性、逆元素交換法 |
| 摘要 | 在調諧質量阻尼器 (tuned mass dampers, TMD) 設計中，避免離頻效應是一項 主要挑戰，因此提升系統的強健性尤為重要。本研究針對離岸風機塔架結構進行減 振控制最佳化，採用單一調諧質量阻尼器 (single tuned mass damper, STMD) 配置 方式為初始配置，並使用拉丁超立方抽樣 (Latin hypercube sampling, LHS) 對結構 總體質量與勁度引入變異，以模擬實際結構之不確定性。研究中透過多階層規劃之 逆元素交換法 (multi-level inverse element exchange method, MulIEEM)，分別針對 樣本平均值最小化、樣本標準差最小化與單一樣本最小化三種不同目標函數，進行 TMD質量、勁度與阻尼參數之最佳化配置。外力建模方面，利用不同風浪條件進 行檢核。結果顯示，各最佳化配置於最大位移平均值與標準差等統計指標皆展現明 顯改善，MulIEEM能有效導引配置以降低反應並提升強健性。綜合控制效能與計 算資源考量，以單一樣本進行最佳化可同時兼顧減振效果與強健性。 |
| Title | Optimizing Robustness of Tuned Mass Dampers in Offshore Wind Turbine Tower Structures |
|---|---|
| Author | Ching Yen, Qian-Rui Cai, Peng-Tai Chan |
| Keywords | tuned mass damper, offshore wind turbine tower, structural optimization, parameter uncertainty, inverse element exchange method |
| Abstract | Avoiding detuning effects is a major challenge in the design of tuned mass dampers (TMD), making the improvement of system robustness crucial. This study optimizes vibration control for offshore wind turbine tower structures using a single tuned mass damper (STMD) configuration as the initial design. Latin hypercube sampling (LHS) is employed to introduce variations in the overall mass and stiffness of the structure, simulating the uncertainties of the actual structure. T he study utilizes inverse element exchange with multi-level programming (multi-level inverse element exchange method, MulIEEM) to optimize the mass, stiffness, and damping parameters of the multiple tuned mass dampers (MTMD) for three different objective functions: minimizing the sample mean, minimizing the sample standard deviation, and minimizing a single sample (i.e., the deterministic structure). External force modeling is performed under various wind and wave conditions. The results show that each optimized configuration significantly improves statistical indicators such as the maximum displacement mean and standard deviation. MulIEEM effectively guides the configuration to reduce response and improve robustness. Considering both control performance and computational efforts, optimization using a single sample simultaneously achieves both vibration reduction and robustness. |
| 標題 | 地上型地震超材料之表面波衰減設計策略 |
|---|---|
| 作者 | 蘇于琪、周家卉、張宸愷 |
| 關鍵字 | 地震超材料、幾何設計、雷利波 |
| 摘要 | 近年來，許多針對對建築最具破壞性之表面波的地上型地震超材料設計被提 出，但卻因缺乏跨模型間的系統性比較與分析，無法指出何種單一材料組成的幾何 構型在衰減地震表面波方面最具效益。為填補此一缺口，本研究將過去文獻中的設 計簡化並歸類為四種模型：直立長方體、平躺長方體、尖端朝下的正四面體，以及 尖端朝上的正四面體，其分別代表我們將文獻分類的立柱型、平展型、上集量型、 下集量型的地震超材料設計。此四種模型皆採用晶格常數為2.5 m之週期排列，並 在相同體積與材料性質條件下使用有限元素法分析其對雷利波 (Rayleigh wave) 的 頻散特性加以比較。分析結果顯示，尖端朝下的正四面體可形成最寬且最低頻之 帶隙，範圍為1.21–2.89 Hz與 6.12–9.24 Hz；其次為直立長方體，其帶隙分別為 7.07–7.96 Hz 與 10.76–13.08 Hz；而平躺長方體與尖端朝上之正四面體則僅分別產 生窄帶隙與無帶隙。整體而言，上集量型在低頻衰減表現最佳，但施工穩定性較差； 立柱型則兼具可行性與穩定度。本研究藉由此四種模型之分析與比較，建立一套可 依循之地震波超材料設計策略。 |
| Title | Design Strategies for Surface Wave Attenuation Using Above-Ground Seismic Metamaterials |
|---|---|
| Author | Yu-Chi Su, Gu-Hui Zhou, Chen-Kai Zhang |
| Keywords | seismic metamaterials, geometric design, Rayleigh wave |
| Abstract | In recent years, numerous above-ground seismic metamaterial designs targeting surface waves—the most destructive type of seismic waves to buildings—have been proposed. However, the lack of systematic cross-model comparison and analysis has made it difficult to identify which single-material geometric configuration is most effective for attenuating seismic surface waves. To address this issue, this study simplifies and categorizes existing designs in the literature into four representative models: an upright rectangular prism, a horizontal rectangular prism, a downward-pointing regular tetrahedron, and an upward-pointing regular tetrahedron. These models respectively represent the pillar-type, planar-type, upper-mass-concentrated, and lower-mass-concentrated seismic metamaterial configurations classified in this work. All four models adopt a periodic arrangement with a lattice constant of 2.5 m and are analyzed under identical volume and material properties using finite element simulations to obtain and compare the band structures. The results show that the downward-pointing tetrahedron produces the widest and lowest-frequency bandgaps, spanning 1.21–2.89 Hz and 6.12–9.24 Hz. The upright rectangular prism follows, exhibiting bandgaps of 7.07–7.96 Hz and 10.76–13.08 Hz. In contrast, the horizontal prism generates only a narrow bandgap, while the upward-pointing tetrahedron produces no bandgap. Overall, the upper-mass-concentrated configuration achieves the best low-frequency attenuation performance, though it is less stable in practical construction. The pillar-type configuration offers narrower bandgaps but provides superior structural stability and feasibility. Through the comparative analysis of these four models, this study establishes a set of design strategies for seismic metamaterials intended for Rayleigh wave attenuation. |
| 標題 | 基於變分模態分解實現離線同步與模態分析 |
|---|---|
| 作者 | 林皓哲、黃謝恭、林詠彬、梁文宗、謝有福 |
| 關鍵字 | 結構健康監測、低成本感測系統、模態分析、變分模態分解、離線同步 |
| 摘要 | 隨著無線感測器網路 (wireless sensor networks, WSN) 或是低成本 (low-cost) 感測系統越來越常應用在結構健康監測 (structural health monitoring, SHM) 技術 中，在結構期服務期間提共安全評估與維護的可行性越來越高，可是各個通道量 測數據出現時間延遲的情況也更為常見，這些延遲往往來自感測器啟動時間不 同、內部時鐘誤差或取樣頻率不一致，進而造成模態形狀失真，降低模態分析 的準確性與可靠度。為解決此問題，本研究結合變分模態分解 (variational mode decomposition, VMD) 與互相關 (cross correlation, CC) 函數進行延遲估測與訊號同 步處理，此外研究透過試驗量測與現地監測之架構，驗證所提方法之穩定性與實用 性，並且使用隨機子空間識別法 (stochastic subspace identification, SSI) 作為主要 的模態分析工具，展示同步與否如何影響結構之主要模態的識別過程，同時展示所 提出之方法具備良好之穩定性與適應性，能有效處理非同步訊號，提升模態參數識 別精度，並減少對同步硬體的依賴。 |
| Title | Offline Synchronization and Modal Analysis Based on Variational Modal Decomposition |
|---|---|
| Author | Hao-Che Lin, Shieh-Kung Huang, Yung-Bin Lin, Wen-Tzong Liang, Yu-Fu Hsieh |
| Keywords | structural health monitoring, low-cost sensing system, modal analysis, variational mode decomposition, offline synchronization |
| Abstract | With the increasing applications of wireless sensor networks (WSN) or low-cost sensing systems in structural health monitoring (SHM) technology, the feasibility of providing safety assessments and maintenance throughout a structure’s service life has improved significantly. However, time delays of each channel in measurement have become more prevalent since then. These delays often arise from the differences in sensor startup times, internal clock errors, or inconsistent sampling frequencies, resulting in distorted modal shapes and reduced accuracy and reliability in modal analysis. To address this issue, this study combines variational mode decomposition (VMD) with cross-correlation (CC) functions for delay estimation and signal synchronization processing. Furthermore, an experimental study and a field monitoring verification are conducted to examine the stability and practicality of the proposed method. Meanwhile, stochastic subspace identification (SSI) is employed as the primary modal analysis tool, demonstrating how synchronization or lack thereof affects the identification results of a structure’s vibration modes. As a result, the proposed method exhibits excellent stability and adaptability, effectively handling asynchronous signals, enhancing the accuracy of modal parameter identification, and reducing reliance on synchronization hardware. |
國科會整合型計畫「新世代鋼結構耐震性能研究」成果發表會
主辦單位：財團法人國家實驗研究院國家地震工程研究中心。
協辦單位：中華民國結構工程學會、中華民國地震工程學會。
時間：民國115年3月27日 (星期五)。
地點：國家地震工程研究中心臺北實驗室一樓R101會議室。
(臺北市大安區辛亥路三段200 號)
費用：本研討會免報名費。
報名方式：即日起開始報名，至額滿為止(上限120人)，請上網址：
https://conf.ncree.org.tw/indexCht.aspx?n=A11403270
備註：本研討會已向行政院公共工程委員會申請技師積點及公務人員終身學習護照相關證書。
聯絡人：莊勝智/sjjhuang@niar.org.tw
2026年LFE地震工程行旅體驗營
各位會員朋友：
新年快樂！
國研院國震中心與美國地震工程研究所 (EERI) 合辦「2026年LFE地震工程行旅體驗營」 (LFE Travel Study Program) 國際學習交流計畫已正式啟動，並預計於10 月 18 日至 24 日橫跨北台灣及中台灣進行相關活動，與世界各國青年菁英一起實地走訪台灣重大工程建設、了解921災區復建成果以及台灣自921地震以來在耐震設計規範及工程實務上的進展。
正所謂「讀萬卷書，行萬里路」，有興趣報名的會員朋友請至EERI官網 https://learningfromearthquakes.org/activities/travel-study/ 了解活動進一步的規劃細節及報名資格，台灣報名時間至3月13日中午 12:00 (美國太平洋時間) 截止。
「結構工程」季刊第158期(第40卷第4期)
「結構工程」季刊第158期(第40卷第4期)
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中文網址: 第40卷第4期 (2025)
英文網址: Vol.40 / No.4 (2025)
若有任何意見歡迎 email 至 csse@csse.org.tw。
Vol.40/No.4 (158) (2025)
Vol.40/No.4 (158) (2025)
| Title | Shake Table Test and Numerical Simulation on a Hybrid Structural Steel-Reinforced Concrete Coupled Wall Building |
|---|---|
| Author | Huang-Zuo Lin1, Pu-Wen Weng1, Shih-Wei Yeh, Wen-Cheng Shen1, Fu-Pei Hsiao1, Yu-Chen Ou1, Chung-Chan Hung, Will Pollalis, Santiago Pujol, Rick Henry |
| Keywords | reinforced concrete, coupled wall, coupling beam, nonlinear time-history analysis, shaking table test, structural system |
| Abstract | The idealization of building structural design often leads to the independent consideration of structural components without fully accounting for the overall performance of the building. As societal demands for safer, more seismic-resistant, and repairable buildings continue to grow, it is crucial to treat buildings as integrated systems to ensure functionality under various seismic scenarios. Key areas of this research include the interaction between structural components, the assessment of interstory drift, and the overall building response, as well as the implications of design decisions and methodologies. This study aims to investigate the interaction behavior between the structural system and the lateral force-resisting components, as well as the seismic design and structural behavior of coupling beams in coupled walls, through the shaking table test of a steel-reinforced concrete coupled wall structural system. By considering a life-cycle-based seismic design approach and nonlinear time-history analysis, this study seeks to develop a novel structural system with enhanced seismic performance. T he mechanical characteristics of component interactions will be investigated through structural element experiments and experimental observations of shaking table test. These data sources will be used to develop and validate numerical models employing nonlinear time-history analysis to simulate structural component interactions. The integration of these models into design methodologies will contribute to improving seismic resilience in buildings. Therefore, this paper presents the shaking table test planning and numerical simulation of a hybrid structural steel reinforced concrete coupled wall building, providing domestic scholars and experts with insights into this large-scale shaking table test. By understanding the structural behavior of this advanced hybrid structural steel-reinforced concrete coupled wall building, the domestic engineering community can become more familiar with this innovative structural system and its potential applications. |
| Title | The Performance Comparison Between Flexural and Shear Yielding Type Seismic Stud Columns |
|---|---|
| Author | Guan-Ru Peng, Jia-Jyun Hsu, Bo-Teng Wu, Keh-Chyuan Tsai |
| Keywords | flexural-yielding type stud column, shear yielding type stud column, seismic design, capacity design, performance comparison, finite element model analysis |
| Abstract | This study analyzes and compares the performance of two types of seismic stud columns (SSC): flexural-yielding seismic stud columns (MSC) and three-segment shear-yielding seismic stud columns (TVSC). The paper introduces their mechanical behavior and energy dissipation mechanisms, with MSC dissipating energy through flexural plastic hinges and TVSC through shear plastic hinges. Results indicate that MSCs provide higher lateral stiffness and strength than TVSCs for the same unit steel consumption. For a cross-section depth of 800 mm and a SSC height of 2.6 m, and combining all available sections by the steel plates ranging from 8 to 50 mm thick, MSC achieves average lateral stiffness and strength that are 1.4 times and 2.2 times greater than those of TVSC. However, TVSC imposes only 0.7 times the demands on the boundary beams compared to MSC, allowing it to offer higher lateral stiffness for the same boundary beams—approximately 1.3 to 1.6 times that of MSC. In addition, the stiffness-to-weight ratio of the subassembly frame with TVSC exceeds that of MSC, highlighting the advantage of TVSC’s strength and stiffness being independently designed parameters. Finite element model analysis results show that a single MSC adopting reduced sections at two ends exhibit pronounced local buckling, reducing its ultimate shear strength to 0.8 times that of the traditional MSC, while the lateral stiffness drops to 0.9 times. TVSC does not show obvious local buckling and has much better energy dissipation. If axial forces are applied to the SSCs, the energy dissipation area of the TVSC is 1.8 times that of the traditional MSC and this ratio increases with inter-story drift. Additionally, the lateral stiffness of the TVSC is 1.3 times that of the traditional MSC. |
| Title | Seismic Design and Analysis of Long-Span Buckling-Restrained Braces With Strongback Frame |
|---|---|
| Author | I-Chun Hung, An-Chien Wu, Ming-Chieh Chuang, Keh-Chyuan Tsai |
| Keywords | buckling-restrained brace, strongback system, dual system, mega brace, nonlinear response history analysis, fragility analysis |
| Abstract | Long-span braces that extend across multiple floors offer the advantages of requiring fewer brace members and connections, while also providing greater flexibility in architectural planning compared with conventional single-story bracing systems. Truss-confined buckling-restrained braces (BRBs) which have a higher axial strength and lower self-weight are thus favorable for long-span applications. Braced frames could have lateral deformations concentrated on partial stories under certain unfavorable situations. A strongback frame (SBF) configured with the braced frame can promote a uniform distribution of inter-story drift ratios (IDRs) along the building height. Based on the capacity design method and response spectrum analysis, this study proposed a seismic design method and procedure for the dual structural system which consists of the buckling-restrained braced frame and SBF, applying to a prototype 24-story building with braces across four stories. The building natural vibration frequencies and modes were discussed using a numerical structure model. Nonlinear response history analysis using 21 historical earthquake ground motions scaled to three different hazard levels was conducted to investigate the structure dynamic responses and seismic performance. Fragility curves using the incremental dynamic analysis were constructed to assess the probability of the structure reaching the expected performance points during earthquakes. Analysis results indicate that the hybrid structural system designed following the proposed method has uniformly distributed IDRs under the design base shear. During the different hazard earthquakes, BRBs yield first to dissipate energy and the adjacent structural components can sustain the BRB developed strength, while the SBF remains essentially elastic. The hybrid system has only 1% probability to collapse during the maximum considered earthquakes, meeting the performance-based seismic design objective. |
| Title | An Algorithm for Directly Obtaining the Characteristics of the Hot Spot Stress Method in the Global Coordinate System for Tubular Joints in Jacket Foundation |
|---|---|
| Author | Dzong-Chwang Dzeng, Shu-Chen Wu, Ching-Yu Liu, Chen-Chi Huang, Yu-Lin Liao |
| Keywords | jacket foundation of offshore wind turbine, hot spot stress method, tubular joint, intersection line of two circular tube, characteristic data |
| Abstract | The hot spot stress method has been increasingly adopted for the fatigue design for tubular joints in jacket foundations of offshore wind turbines. However, in order to obtain reliable analysis and results in accordance with standards and to make the process both practical and efficient, it is necessary to develop a precise, reliable, and easily programmable algorithm to obtain the characteristic data required for applying the hot spot stress method to tubular joints. Therefore, this work presents an algorithm that, through deliberate and sophisticated parameter definitions, can derive accurate characteristic data using basic linear algebra and calculus, while ensuring ease of programming. The proposed algorithm is demonstrated and validated using practical case studies and can be further combined with existing commercial structural analysis software to automatically generate finite element meshes with known nodal points based on the computed characteristic data, thereby achieving the goal of automated analysis. |
| Title | Post-Quake Loading Analysis on Disposal Canisters for BWR Spent Nuclear Fuel |
|---|---|
| Author | Jui-Hung Chang, Pin-Kai Chen, Chao-Chih Wu, Yu-Jyun Hsu, Wei-Hsiang Hsu |
| Keywords | BWR spent nuclear fuel, deep geologic repositories, disposal canister, confined pressure, shear displacement, thermal load |
| Abstract | The components of the disposal canister for boiling water reactors (BWR) spent nuclear fuel include cast iron, copper shell, steel plate, and other parts. In this study, under the action of deep geological confined pressure and thermal load caused by decay heat, the mechanical effect on the canister due to post-quake shear displacement is examined. To this end, a modified finite element model is constructed by including the fuels and other components, with the mechanism for shear displacement and thermal load being also appropriately simulated. The results show that for cast iron, when the confined pressure is under 70 MPa and the shear displacement is less than 1cm, the maximum stress caused by the two cases of thermal loads is lower than the maximum allowable stress of 395 MPa defined by Svensk Kärnbränslehantering AB (SKB), Sweden. For copper shell, most of the stressed levels are less than half of that of cast iron and so its safety is confirmed. As to the steel plate, while the safe loading range for elastic response is similar to that of cast iron, the stresses in some inelastic cases exceed 395 MPa. According to the solutions, the corresponding range of safe loading is delimited. The results may be used as future references for construction of stable and safe disposal environment. |
鋼筋混凝土二元系統連接梁設計與開孔牆模擬講習會
各位會員 您好
鋼筋混凝土二元系統連接梁設計與開孔牆模擬講習會，敬邀各位工程先進踴躍參加。
演講日期： 2026年2月6日（星期五）
演講時間： 13:30
演講地點： 國家地震工程研究中心 台北大樓101演講廳
（台北市大安區辛亥路三段200號）
研討會議程詳網址 : https://conf.ncree.org.tw/index.aspx?n=A11502060
第四十卷第四期 (期別158) (114年)
第四十卷第四期 (期別158) (114年)
| 標題 | 鋼構與耦合牆結構系統之振動台實驗規劃及數值模擬 |
|---|---|
| 作者 | 林皇佐、翁樸文、葉士瑋、沈文成、蕭輔沛、歐昱辰、洪崇展、 Will Pollalis、Santiago Pujol、Rick Henry |
| 關鍵字 | 鋼筋混凝土、耦合牆、剪力連接梁、非線性歷時分析、振動台實驗、結構系統 |
| 摘要 | 結構設計過程中基於對建築系統的理想化，常導致個別單獨考慮結構元件，而 沒有充分考慮建築物整體性能。隨著社會對安全、耐震和可修復的建築需求不斷增 加，有必要將建築物視為一個「整體」系統，以確保在各種地震情景下維持功能性。 這項研究的關鍵領域包括結構構件之間的相互作用、樓層位移評估和整體建築之相 互作用，以及設計決策和方法的影響。 本文擬透過鋼構與鋼筋混凝土耦合牆結構系統之振動台實驗規劃及數值模擬， 探討結構體和抗側力系統之間相互作用行為，以及耦合牆間之剪力連接梁耐震設計 與結構行為，並應用全生命週期的耐震設計和非線性歷時分析評估方法，發展具耐 震性能之新式結構系統。建築構件相互作用的力學特性將透過大型結構實驗以及振 動台實驗中建築物性能的現場觀察進行研究。這些數據源將用於開發和驗證最先進 的非線性歷時分析數值模型，來模擬建築構件相互作用的方法。將這些模型綜合和 轉化為設計方法將有助於提高建築物的耐震性。因此本文介紹鋼構與鋼筋混凝土耦 合牆結構系統之振動台實驗規劃及數值模擬，讓國內學者專家能瞭解此國際合作大 型振動台實驗規劃，以及先進鋼構與鋼筋混凝土耦合牆結構系統結構行為，藉以讓 國內工程界能更熟習此先進結構系統。 |
| Title | Shake Table Test and Numerical Simulation on a Hybrid Structural Steel-Reinforced Concrete Coupled Wall Building |
|---|---|
| Author | Huang-Zuo Lin1, Pu-Wen Weng1, Shih-Wei Yeh, Wen-Cheng Shen1, Fu-Pei Hsiao1, Yu-Chen Ou1, Chung-Chan Hung, Will Pollalis, Santiago Pujol, Rick Henry |
| Keywords | reinforced concrete, coupled wall, coupling beam, nonlinear time-history analysis, shaking table test, structural system |
| Abstract | The idealization of building structural design often leads to the independent consideration of structural components without fully accounting for the overall performance of the building. As societal demands for safer, more seismic-resistant, and repairable buildings continue to grow, it is crucial to treat buildings as integrated systems to ensure functionality under various seismic scenarios. Key areas of this research include the interaction between structural components, the assessment of interstory drift, and the overall building response, as well as the implications of design decisions and methodologies. This study aims to investigate the interaction behavior between the structural system and the lateral force-resisting components, as well as the seismic design and structural behavior of coupling beams in coupled walls, through the shaking table test of a steel-reinforced concrete coupled wall structural system. By considering a life-cycle-based seismic design approach and nonlinear time-history analysis, this study seeks to develop a novel structural system with enhanced seismic performance. T he mechanical characteristics of component interactions will be investigated through structural element experiments and experimental observations of shaking table test. These data sources will be used to develop and validate numerical models employing nonlinear time-history analysis to simulate structural component interactions. The integration of these models into design methodologies will contribute to improving seismic resilience in buildings. Therefore, this paper presents the shaking table test planning and numerical simulation of a hybrid structural steel reinforced concrete coupled wall building, providing domestic scholars and experts with insights into this large-scale shaking table test. By understanding the structural behavior of this advanced hybrid structural steel-reinforced concrete coupled wall building, the domestic engineering community can become more familiar with this innovative structural system and its potential applications. |
| 標題 | 彎矩與剪力降伏型耐震間柱之特性比較 |
|---|---|
| 作者 | 彭冠儒、許嘉峻、吳博騰、蔡克銓 |
| 關鍵字 | 彎矩降伏型耐震間柱、剪力降伏型耐震間柱、耐震設計、容量設計、性能 比較、有限元素模型分析 |
| 摘要 | 本研究比較彎矩降伏型耐震間柱 (flexural-yielding type stud column, MSC) 與 三段式剪力降伏型耐震間柱 (three-segment shear-yielding seismic stud columns, TVSC) 之力學行為、設計方法與性能差異。兩者分別以彎矩塑鉸與剪力塑鉸作為主 要消能機制，並建立對應之韌性設計與容量設計步驟，以確保耐震間柱在構架中能 穩定發揮耐震性能。為量化比較，本研究提出三種性價比指標，評估兩種構造於側 向勁度與強度之效率。分析結果顯示，在相同鋼材使用量下，MSC所提供之平均側 向勁度與強度分別為TVSC的1.4與2.2倍；若採斷面深度800 mm、間柱高度2.6 m，並由8–50 mm鋼板組合所有可行斷面，結果亦高度一致。惟在固定邊界梁強度 下，TVSC設計需求僅為MSC的0.7倍，可提供構架約為MSC 1.3–1.6倍的側向勁 度，十字子構架之勁度重量比亦較MSC為高，顯示TVSC具強度與勁度可分別調 整之設計優勢，對整體構架更具彈性。進一步以有限元素模型分析深度相同、強度 相近之MSC與TVSC，並對MSC施以端部切削或蓋板處理。結果顯示，MSC經 切削後極限強度降為原型之0.8倍，側向勁度降為0.9倍，且切削處出現局部挫屈， 降低韌性與構架整體效用；TVSC則無明顯局部挫屈，遲滯迴圈更為飽滿。在軸力 作用下，TVSC單圈消能量為傳統MSC之1.8倍，此比值並隨層間變位上升而提高； 其有效側向勁度亦為MSC之1.3倍，展現TVSC在高階性能指標下的優勢。 |
| Title | The Performance Comparison Between Flexural and Shear Yielding Type Seismic Stud Columns |
|---|---|
| Author | Guan-Ru Peng, Jia-Jyun Hsu, Bo-Teng Wu, Keh-Chyuan Tsai |
| Keywords | flexural-yielding type stud column, shear yielding type stud column, seismic design, capacity design, performance comparison, finite element model analysis |
| Abstract | This study analyzes and compares the performance of two types of seismic stud columns (SSC): flexural-yielding seismic stud columns (MSC) and three-segment shear-yielding seismic stud columns (TVSC). The paper introduces their mechanical behavior and energy dissipation mechanisms, with MSC dissipating energy through flexural plastic hinges and TVSC through shear plastic hinges. Results indicate that MSCs provide higher lateral stiffness and strength than TVSCs for the same unit steel consumption. For a cross-section depth of 800 mm and a SSC height of 2.6 m, and combining all available sections by the steel plates ranging from 8 to 50 mm thick, MSC achieves average lateral stiffness and strength that are 1.4 times and 2.2 times greater than those of TVSC. However, TVSC imposes only 0.7 times the demands on the boundary beams compared to MSC, allowing it to offer higher lateral stiffness for the same boundary beams—approximately 1.3 to 1.6 times that of MSC. In addition, the stiffness-to-weight ratio of the subassembly frame with TVSC exceeds that of MSC, highlighting the advantage of TVSC’s strength and stiffness being independently designed parameters. Finite element model analysis results show that a single MSC adopting reduced sections at two ends exhibit pronounced local buckling, reducing its ultimate shear strength to 0.8 times that of the traditional MSC, while the lateral stiffness drops to 0.9 times. TVSC does not show obvious local buckling and has much better energy dissipation. If axial forces are applied to the SSCs, the energy dissipation area of the TVSC is 1.8 times that of the traditional MSC and this ratio increases with inter-story drift. Additionally, the lateral stiffness of the TVSC is 1.3 times that of the traditional MSC. |
| 標題 | 長跨挫屈束制支撐結合強脊構架耐震設計與分析 |
|---|---|
| 作者 | 洪翌鈞、吳安傑、莊明介、蔡克銓 |
| 關鍵字 | 挫屈束制支撐、強脊系統、二元系統、巨型斜撐、非線性歷時分析、易損性評估 |
| 摘要 | 跨樓層長跨斜撐設計為近年因應高樓層建築興起之結構配置，相較於跨單層之 斜撐，此配置擁有接頭數量少、建築空間靈活度高等優點；桁架圍束式挫屈束制 支撐 (buckling-restrained brace, BRB) 具高軸力強度、低自重等優勢，正適合應用 於長跨斜撐配置。斜撐構架系統在特定不利條件下，可能有變形集中於部分樓層的 情況，搭配強脊構架 (strongback frame, SBF) 系統則能使整體結構層間側位移角 (inter-story drift ratio, IDR) 均勻分布。本研究藉由一棟24 層建築設計例，採用橫 跨四層樓的BRB與傳統斜撐分別形成長跨BRB構架與SBF之二元結構系統，基於 容量設計法及反應譜分析法提出此創新混合構架系統的設計方法與流程。建置整體 結構數值分析模型獲取自然振動週期，利用非線性歷時分析以三種不同危害度各21 組地震紀錄，探討結構動態反應與整體耐震性能；透過增量動態分析法及易損性分 析，評估在地震時達成性能點目標之機率。分析結果顯示，依本設計方法可確保此 混合構架系統在設計地震力作用下，結構IDR分布的均勻度；在不同危害度地震下， BRB可先降伏消能，相鄰結構桿件可承受BRB發展之軸力，且SBF可保持彈性反 應；結構在最大考量地震作用下達到崩塌的機率僅約為1%，符合性能設計目標。 |
| Title | Seismic Design and Analysis of Long-Span Buckling-Restrained Braces With Strongback Frame |
|---|---|
| Author | I-Chun Hung, An-Chien Wu, Ming-Chieh Chuang, Keh-Chyuan Tsai |
| Keywords | buckling-restrained brace, strongback system, dual system, mega brace, nonlinear response history analysis, fragility analysis |
| Abstract | Long-span braces that extend across multiple floors offer the advantages of requiring fewer brace members and connections, while also providing greater flexibility in architectural planning compared with conventional single-story bracing systems. Truss-confined buckling-restrained braces (BRBs) which have a higher axial strength and lower self-weight are thus favorable for long-span applications. Braced frames could have lateral deformations concentrated on partial stories under certain unfavorable situations. A strongback frame (SBF) configured with the braced frame can promote a uniform distribution of inter-story drift ratios (IDRs) along the building height. Based on the capacity design method and response spectrum analysis, this study proposed a seismic design method and procedure for the dual structural system which consists of the buckling-restrained braced frame and SBF, applying to a prototype 24-story building with braces across four stories. The building natural vibration frequencies and modes were discussed using a numerical structure model. Nonlinear response history analysis using 21 historical earthquake ground motions scaled to three different hazard levels was conducted to investigate the structure dynamic responses and seismic performance. Fragility curves using the incremental dynamic analysis were constructed to assess the probability of the structure reaching the expected performance points during earthquakes. Analysis results indicate that the hybrid structural system designed following the proposed method has uniformly distributed IDRs under the design base shear. During the different hazard earthquakes, BRBs yield first to dissipate energy and the adjacent structural components can sustain the BRB developed strength, while the SBF remains essentially elastic. The hybrid system has only 1% probability to collapse during the maximum considered earthquakes, meeting the performance-based seismic design objective. |
| 標題 | 套筒式基礎管接合熱點應力法特徵資料於 全域座標直接求取之演算法 |
|---|---|
| 作者 | 曾榮川、吳淑珍、劉靖俞、黃鎮齊、廖昱霖 |
| 關鍵字 | 離岸風力機套筒式基礎、熱點應力法、管接合、兩圓管相交線、特徵資料 |
| 摘要 | 對於離岸風力機套筒式基礎管接合部 (tubular joints) 的疲勞設計已漸採用熱點 應力法 (hot spot stress method)，惟要依規範規定，獲得可靠的分析與檢核結果， 並使其在實務上可行且有效率，目前仍有賴一套正確可靠且容易程式編譯的演算 法，以獲取套筒式基礎管接合熱點應力法所需的特徵資料。為此，本文將藉由特意 且精巧的參數定義，使其利用基本的線性代數及微積分運算，即可推導獲得精確特 徵資料且程式編譯容易的演算法，並以實際案例予以示範與檢視。後續可結合現有 商用結構分析軟體，利用已計算得到的特徵點資料，自動建立具此等已知節點的有 限元素網格，續進行分析與擷取結果，達到分析自動化的目標。 |
| Title | An Algorithm for Directly Obtaining the Characteristics of the Hot Spot Stress Method in the Global Coordinate System for Tubular Joints in Jacket Foundation |
|---|---|
| Author | Dzong-Chwang Dzeng, Shu-Chen Wu, Ching-Yu Liu, Chen-Chi Huang, Yu-Lin Liao |
| Keywords | jacket foundation of offshore wind turbine, hot spot stress method, tubular joint, intersection line of two circular tube, characteristic data |
| Abstract | The hot spot stress method has been increasingly adopted for the fatigue design for tubular joints in jacket foundations of offshore wind turbines. However, in order to obtain reliable analysis and results in accordance with standards and to make the process both practical and efficient, it is necessary to develop a precise, reliable, and easily programmable algorithm to obtain the characteristic data required for applying the hot spot stress method to tubular joints. Therefore, this work presents an algorithm that, through deliberate and sophisticated parameter definitions, can derive accurate characteristic data using basic linear algebra and calculus, while ensuring ease of programming. The proposed algorithm is demonstrated and validated using practical case studies and can be further combined with existing commercial structural analysis software to automatically generate finite element meshes with known nodal points based on the computed characteristic data, thereby achieving the goal of automated analysis. |
| 標題 | BWR用過核子燃料處置罐之震後承載影響分析 |
|---|---|
| 作者 | 張瑞宏、陳品凱、吳昭智、徐宇儁、徐維祥 |
| 關鍵字 | BWR用過核子燃料、深地層處置、處置罐、圍壓、剪位移、熱載重 |
| 摘要 | 沸水式反應爐 (boiling water reactors, BWR) 用過核子燃料處置罐之罐體組成 部件包括鑄鐵、銅殼、鋼板及其他填充物等，本研究在考量深地層圍壓負載及衰變 熱引致熱載重之情況下，以震後剪位移作為主要變因，進行罐體之結構承載數值分 析。研究中首先就現有之實體及數值模型進行檢核，依現地埋置情境之所需，以此 建構改良之有限元素「修正模型」；在模型中置入燃料棒等填充組成部件，並調整 相應之剪位移加載機制及熱載重組合效應。分析結果顯示，對鑄鐵部件而言，在圍 壓不超過70 MPa、剪位移低於1 cm之情況下，兩組熱載重引致之最大應力皆低於 瑞典Svensk Kärnbränslehantering AB (SKB) 定義之最大容許應力395 MPa；而在 銅殼的部分，其應力值多數未達鑄鐵之半，可確認為保持在安全範圍內；另外，鋼 板之彈性變形施載範圍約與鑄鐵相當，惟部分非彈性案例之應力會高於395 MPa。 依據上述計算結果，可界定各組成部件的安全施載範圍，研究成果期能提供相關設 計之參考，以確保未來我國處置環境之穩定與安全。 |
| Title | Post-Quake Loading Analysis on Disposal Canisters for BWR Spent Nuclear Fuel |
|---|---|
| Author | Jui-Hung Chang, Pin-Kai Chen, Chao-Chih Wu, Yu-Jyun Hsu, Wei-Hsiang Hsu |
| Keywords | BWR spent nuclear fuel, deep geologic repositories, disposal canister, confined pressure, shear displacement, thermal load |
| Abstract | The components of the disposal canister for boiling water reactors (BWR) spent nuclear fuel include cast iron, copper shell, steel plate, and other parts. In this study, under the action of deep geological confined pressure and thermal load caused by decay heat, the mechanical effect on the canister due to post-quake shear displacement is examined. To this end, a modified finite element model is constructed by including the fuels and other components, with the mechanism for shear displacement and thermal load being also appropriately simulated. The results show that for cast iron, when the confined pressure is under 70 MPa and the shear displacement is less than 1cm, the maximum stress caused by the two cases of thermal loads is lower than the maximum allowable stress of 395 MPa defined by Svensk Kärnbränslehantering AB (SKB), Sweden. For copper shell, most of the stressed levels are less than half of that of cast iron and so its safety is confirmed. As to the steel plate, while the safe loading range for elastic response is similar to that of cast iron, the stresses in some inelastic cases exceed 395 MPa. According to the solutions, the corresponding range of safe loading is delimited. The results may be used as future references for construction of stable and safe disposal environment. |
University of Houston Roberto Ballarini 教授專題演講
各位會員 您好：
國家地震工程研究中心特邀請美國休士頓大學（University of Houston）土木工程學系
Roberto Ballarini 教授 蒞臨來訪，並舉辦專題演講，敬邀各位工程先進踴躍參加。
講者：Roberto Ballarini, Ph.D., P.E., F.EMI, F.ASME, Dist.M.ASCE
(https://www.cive.uh.edu/faculty/ballarini)
講題：The Stochastic Buckling of Geometrically-Imperfect Hemispherical Shells Exhibits a Similar Size Effect as the Strength of Brittle Solids
演講日期： 2026年1月6日（星期二）
演講時間： 上午10:30
演講地點： 國家地震工程研究中心 台北大樓101演講廳
（台北市大安區辛亥路三段200號）
誠摯邀請各位先進踴躍蒞臨，共襄盛舉。
中華民國結構工程學會 敬啟2025/12/17