Studies on R-μ-T Law of Reinforced Concrete Structures with Practical Hysteretic Model

• 1、School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640
• 2、Sichuan Provincial Architectural Design Institute, Chengdu 610017
• 3、College of Civil Engineering, Chongqing University, Chongqing 400045

Abstract：R-μ-T relationship of single-degree-of-freedom (SDOF) system is one of the principal laws in performance-based design. In most of previous studies, it was generally concluded that the hysteretic model used in analysis has no effect on the R-μ-T law. But it was a kind of idealized hysteretic model that was used in these studies, which the actual hysteretic behaviors of reinforced concrete structures were not taken into account. To make up this deficiency in previous studies, a series of inelastic time history analyses was conducted with two different hysteretic models, one of which was the idealized degrading bilinear model, and the other was the Takeda degrading trilinear model. Then the R-μ-T relationships of different SDOF systems with fundamental period from 0.05s to 10s were figured out. And the effects of hysteretic models on the R-μ-T relationship were investigated. The results indicated that when a more practical Takeda hysteretic model was adopted, the ductility demands (μ) of SDOF systems decrease to some extent, compared with the results based on idealized degrading bilinear model, and the traditional "equal displacement rule" may be conservative for the structures with a long fundamental period.

Keywords： reinforced concrete structures R-μ-T relationship hysteretic models inelastic dynamic response analysis