等效线性化方法中系统参数求解的优化算法  

NEW OPTIMIZATION ALGORITHM FOR DETERMINING SYSTEM PARAMETERS OF EQUIVALENT LINEARIZATION METHOD

作　　者：苏亮[1] 王毅[1] 

机构地区：[1]浙江大学空间结构研究中心,浙江杭州310058

出　　处：《工程力学》2011年第9期23-29,共7页Engineering Mechanics

基　　金：国家自然科学基金项目(50908206)

摘　　要：等效周期和有效阻尼比的合理取值是保证等效线性化方法求解精度的关键。该研究利用在自振周期和阻尼比两维空间中的全局优化搜索手段,提出了一种确定等效线性化方法系统参数的标准粒子群优化算法。算例分析验证了优化算法求解的可行性。在保证系统参数合理取值的同时,标准粒子群优化算法的计算效率约为统计分析方法的2.0%,从而克服了统计分析方法在确定等效周期和有效阻尼比时计算量庞大的缺点。该文最后应用所提出的标准粒子群优化算法,以弹塑性非线性单自由度体系为具体的研究对象,分析并推导了等延性系数假定下其等效线性化方法系统参数的计算公式。The appropriate system parameters include the equivalent natural period and the effective damping ratio, which are crucial to ensure a reliable estimation of the maximum inelastic displacement response by the equivalent linearization method. A standard particle swarm optimization algorithm is proposed to determine the equivalent system parameters through a search in the two-dimensional space of the period and damping ratio. The experiments are conducted to investigate the validity and efficiency of the proposed algorithm. Analysis indicates that the proposed algorithm can obtain system parameters with the same precision compared with the statistical method while its solution efficiency is about 2.0 percent of the statistical one. The defect of huge amount of calculation of the statistical method to obtain the system parameters is thus overcome. As an application, the equations of the equivalent system parameters of the elastic-plastic SDOF systems are deduced using the proposed algorithm with the assumption of constant displacement ductility ratio.

关 键 词：等效线性化 标准粒子群优化 非线性位移反应 基于性能 抗震设计 

分 类 号：TU393.3[建筑科学—结构工程] TU311.3