A statistical approach to determine 2D optimal equivalent linear parameters with application to earthquake engineering

作     者：Su Liang Xiao Nan Wang Yi 

作者机构：College of Civil Engineering and Architecture Zhejiang University Hangzhou 310058 China China Aviation Planning and Construction Development Co. Ltd Beijing 100120 China 

出 版 物：《Earthquake Engineering and Engineering Vibration》 (地震工程与工程振动（英文刊）)

年 卷 期：2012年第11卷第3期

页      面：415-425页

核心收录：

学科分类：07[理学] 08[工学] 081402[工学-结构工程] 070104[理学-应用数学] 081304[工学-建筑技术科学] 0813[工学-建筑学] 0814[工学-土木工程] 0701[理学-数学] 

主　　题：equivalent linearization particle swarm optimization structural safety nonlinear displacement response performance-based engineering 

摘      要：The equivalent linearization method approximates the maximum displacement response of nonlinear structures through the corresponding equivalent linear system. By using the particle swarm optimization technique, a new statistical approach is developed to determine the key parameters of such an equivalent linear system over a 2D space of period and damping ratio. The new optimization criterion realizes the consideration of the structural safety margin in the equivalent linearization method when applied to the performance-based seismic design/evaluation of engineering structures. As an application, equations for equivalent system parameters of both bilinear hysteretic and stiffness degrading single-degree-of- freedom systems are deduced with the assumption of a constant ductility ratio. Error analyses are also performed to validate the proposed approach.