結合遲滯模型以及構架模型模擬結構物的非線彈性行為

Nonlinear Inelastic Analysis of Structures by Using Hysteretic Model and Frame Model

趙書賢(Shu-Hsien Chao)

指導教授 ： 羅俊雄

國立臺灣大學/工學院/土木工程學研究所/博士(2009年)

https://doi.org/10.6342/NTU.2009.00296

摘要

本研究的主要目的在於研究一套新的理論，以用來模擬不同形式之結構物在受到外力載重下之非線彈性行為。首先本研究提出了全新的雙向非線彈性組成率遲滯模型，其可用來模擬不同的結構系統、材料或桿件在受到雙向載重時的非線彈性行為。常見的遲滯行為例如強度衰減、勁度衰減以及擠壓效應等等，以及受到雙向載重的雙向互制行為，皆可由本研究所提出的雙向非線彈性組成率遲滯模型來模擬。
接著本研究利用新的雙向組成率遲滯模型，配合梁柱構架系統以及傳統的虛擬力法概念，提出了一套分析結構物非線彈性行為的理論梁柱構架模型，我們稱此分析方法為修正之虛擬力法。在虛擬力法中，藉由不同型式的塑性機制以及遲滯模型之行為，我們可以模擬由不同材料所組成之結構桿件其非線彈性行為及其破壞模式，例如撓曲破壞、剪力破壞以及撓剪破壞等等。結構系統簡單的P-Δ效應亦可利用本文所提出的理論模型來加以模擬。
而本研究採用了反覆載重實驗以及動力實驗的實驗資料來驗證本文所提出的分析理論模型。比較後的結果可以證明本文所提出之理論模型可以準確的模擬不同的結構物之非線彈性行為，包括不同程度的強度衰減、勁度衰減、擠壓效應以及雙向互制之行為等等。
最後本研究採用了三種不同結構系統（鋼構架、鋼筋混凝土構架以及承重牆系統），以及三種不同樓層的高度（3樓、12樓以及24樓）等九個基元構架系統，透過漸增動力分析之方法，來瞭解各結構之耐震容量以及需求，並探討不同結構系統之間之差異，以及其易損性曲線。

關鍵字

遲滯模型 ； 構架模型 ； 雙向載重 ； 虛擬力法

並列摘要

The objective of this study is to develop a new algorithm to simulate nonlinear inelastic behavior of structures subjected to biaxial static or dynamic loading. First, the new biaxial constitutive hysteretic model is developed to simulate nonlinear inelastic behavior of system subjected to uniaxial or biaxial loading. The strength and stiffness deterioration, pinching phenomenon and biaxial effect can also be considered by the proposed biaxial hysteretic model. It can be used to simulate not only global but also local inelastic behavior of structures.
Next, a new algorithm, which is called the modified force analogy method, is developed based on the proposed biaxial hysteretic model and theory of force analogy method. The damage condition, failure type of structural element and collapse time of structure can also be simulated by the modified force analogy method. The cyclic loading test data and dynamic collapse test data are used to verify the proposed algorithm. It is found that the proposed algorithm can simulate nonlinear inelastic behavior of structures subjected to uniaxial or biaxial loading approximately.
Finally, the drift demand of different structural systems, such as steel frame (SF), reinforced concrete frame (RCF) and reinforced concrete wall building (RCWB), are studied by using incremental dynamic analysis (IDA). A total of nine generic structures with different heights, structural systems and inelastic behavior are designed according to current seismic code to realize the difference of their drift demand. The relationships between maximum inter-story drift ratio (IDRmax) and reduction factor (R) for different structural systems are constructed, and uncertainty due to ground motion is investigated. Probability of damage condition of different structural systems under different excitation levels is also discussed. The information of this study is useful to preliminary design and seismic performance assessment.

並列關鍵字

Hysteretic model ； Frame model ； Biaxial load ； force analogy method

參考文獻

1. Miranda, E, Ruiz-Garcia, J. Influence of stiffness degradation on strength demands of structures built on soft soil site. Engineering Structures 2002; 24:1271-1281

2. Farrow, K.T., Kurama, Y.C., SDOF demand index relationships for performance-based seismic design. Earthquake Spectra 2003; 19; No. 4:799-838

3. Medina, R.A., Krawinkler, H., Evaluation of drift demands for the seismic performance assessment of frames. ASCE Journal of Structural Engineering 2005; 131:1003-1013

4. Chao, S.H., Loh, C.H., Inelastic response analysis of reinforced concrete structures using modified force analogy method. Earthquake Engineering and Structural Dynamic 2007; 36:1659:1683

5. Clough, RW, Johnston, S.B., Effect of stiffness degradation on earthquake ductility requirement. Proceedings of Japan Earthquake Engineering Symposium, Tokyo, Japan, 1966