鋼筋混凝土柱遲滯迴圈之模擬研究

A Study on Hysteresis Modeling of Reinforced Concrete Columns

凌于哲(Yu-Che Ling)

指導教授 ： 黃世建

國立臺灣大學/工學院/土木工程學研究所/碩士(2019年)

https://doi.org/10.6342/NTU201902722

摘要

根據建築物耐震設計規範之要求，中高樓進行耐震評估時需使用非線性歷時分析，其須確切反應構材之降伏強度、破壞機制及遲滯迴圈等非線性行為。柱作為關鍵豎向構材，其非線性遲滯行為之預測極為重要。
本研究使用Pivot遲滯模型，以遲滯迴圈消能面積作為模型參數最佳化之依據，針對蒐集之柱反覆側推實驗進行擬合。透過模擬退火演算法、迴歸分析、數值檢定等方法，定義Pivot模型參數與柱構件之軸壓比、撓曲鋼筋比、剪力鋼筋比、長高比之關係。本文建議公式可具體反應柱構材在不同破壞模式下之卸載與束縮等遲滯行為。

關鍵字

鋼筋混凝土柱 ； 遲滯行為 ； Pivot模型 ； 模擬退火法 ； 束縮效應

並列摘要

Accoding to seismic design code of buildings, non-linear time history analysis is required for seismic assessment of mid-to-high-rise buildings. The analysis must accurately reflect structural members’ non-linear behaviors such as yielding strength, failure mechanism and hysteretic behavior. Columns as the major structural members in the lateral load-resisting systems. Hence, the hysteresis behavior prediction of columns is extremely importance in seismic design.
In this study, a hysteretic model of columns and its model parameters’ formulas had been proposed based on the Pivot Hysteretic Model. A database of column specimens subject to cyclic loading has been collected from literature for the model optimization. The model optimization method was executed base on energy dissipation. Simulated annealing algorithm was used to calibrate the response with experimental results and to identify model parameters. Simultaneously, the relationship between the structural characteristics and model parameters was resolved by regression analysis, hypothesis testing and simulated annealing algorithm. The analytical results based on proposed model formulas can accurately reflect hysteretic behavior of columns such as unloading behavior and pinching effect in different failure mode.

並列關鍵字

reinforced concrete column ； hysteretic behavior ； Pivot model ； simulated annealing ； pinching effect

參考文獻

[1] Dowell, R. K., Seible, F., and Wilson, E. L., (1998), “Pivot Hysteresis Model for Reinforced Concrete Members,” ACI Structural Journal, Vol. 95, No. 5, pp. 607-617.

[2] Sharma, A., Eligehausen, R. , and Reddy, G. R., (2013), “Pivot Hysteresis Model Parameters for Reinforced Concrete Columns, Joints, and Structures,” ACI Structural Journal, Vol. 110, No. 2, pp. 217-228.

[3] Taylor, A.W. , Kuo, C., Wellenius, K., and Chung, D., (1997), “A Summary of Cyclic Lateral Load Tests on Rectangular Reinforced Concrete Columns,” NISTIR 5984, Building and Fire Research Laboratory, National Institute of Standards and Technology, United States Department of Commerce, Technology Administration, 97 pp.

[4] Takeda, T., Sozen, M. A. and Nielsen, N. N., (1970), “Reinforced Concrete Response to Simulated Earthquakes,” Journal of Structural Divisions, ASCE, Vol. 96, No.12, pp. 2557-2573.

[5] Bouc, R., (1971), “Forced Vibration of Mechanical Systems with Hysteresis," Proceedings of the Fourth Conference on Nonlinear Oscillation. Prague, Czechoslovakia. p. 315.