中文摘要：

根据建筑的变形特征,基于连续化分析方法将规则基础隔震结构的上部结构等效为悬臂Timoshenko梁进行分析.根据铁木辛柯梁理论建立基础隔震连续化模型运动方程,求解隔震悬臂梁的周期和振型,推导连续化模型的正交条件,利用振型叠加方法求解结构的地震响应.连续模型基本动力参数分别采用粒子群优化算法和差分进化法进行计算,优化目标取上部结构前两阶周期等效.分析表明,粒子群算法、差分进化法的前期收敛速度较快;到优化迭代中期,粒子群算法收敛速度比差分进化算法快;在优化迭代后期,粒子群算法和差分进化算法优化结果相近.最后,对工程算例的有限元模型和连续化模型进行动力特性及地震作用分析,结果表明,两种模型位移时程、加速度时程、峰值位移、峰值加速度的分布规律基本一致.基于Timoshenko梁理论建立的连续化模型适用于多层和高层基础隔震结构分析.采用连续化模型进行分析计算精度高、算法简洁、便于参数分析及地震响应预测.

英文摘要：

Based on dynamic characteristics of structure,the base-isolated cantilever Timoshenko beam was investigated in this study as the equivalent model of regular structures.Vibration periods and modes were derived from the Timoshenko theory,the orthogonal condition of the continuous model was derived,and the earthquake responses were calculated with the mode superposition method.Particle swarm optimization and differential evolution method were used to calculate the equivalent parameters with different optimization goals.The analysis shows that the procedure was found to converge fast with particle swarm optimization algorithm and differential evolution method convergence speed of particle swarm optimization algorithm was faster than differential evolution algorithm in the middle of iterative optimization.The optimized results of particle swarm optimization algorithm and differential evolution algorithm were close to each other.Finally,the finite element model and the continuum model were used to analyze the dynamic characteristics and seismic effect of an engineering example.Dynamic characteristics and seismic response were studied respectively in this paper.The results of equivalent model were close to the results of finite element method.From the parametric study,it was found that time histories of displacement and acceleration were approximately equal with two different models.The distribution of peak acceleration and peak displacement shared the same tendency.Consequently,continuum model was suitable for both multilayer and high-rise base isolated structure.With high precision of calculation,continuum model can be applied to the parameter analysis and the prediction of the seismic response of base-isolated structures.