悬臂结构地震响应分析的广义单自由度模型研究  

Study on the Generalized Single Degree of Freedom Model for Seismic Response Analysis of Cantilever Structures

作　　者：吴承宇 何军[1] WU Chengyu;HE Jun(Department of Civil Engineering,School of Ocean and Civil Engineering,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]上海交通大学船舶海洋与建筑工程学院土木工程系,上海200240

出　　处：《河北工程大学学报（自然科学版）》2024年第1期17-22,共6页Journal of Hebei University of Engineering:Natural Science Edition

基　　金：国家自然科学基金资助项目(5197080363)。

摘　　要：针对有限元方法存在计算时间过长的缺点,不适用于需要多次响应分析的结构抗震性能评估问题。进行了悬臂结构线性地震响应分析的广义单自由度模型研究,提出了多项式形函数和基于多项式形函数的单自由度模型,并通过与有限元分析结果的对比分析,调查了基于多项式形函数的单自由度模型对典型地震波激励下结构响应分析的有效性。结果表明:提出的基于多项式形函数的广义单自由度模型平均误差为7.20%,为提高建模准确性,建议采用水平集中荷载施加方法进行多项式形函数参数估计。The finite element method has the disadvantage of being time-consuming and is not suitable for evaluating the seismic performance of structures that require multiple response analyses.A genera-lized single degree of freedom model for linear seismic response analysis of cantilever structures was stu-died,and the polynomial shaped functions and single degree of freedom models based on the polynomial shaped functions were proposed.The effectiveness of the single degree of freedom model based on the polynomial shaped functions for structural response analysis under typical seismic wave excitation was investigated through comparative analysis with the finite element analysis results.The results show that the average error of the proposed generalized single degree of freedom model based on polynomial functions is 7.20%.To improve the modeling accuracy,it is recommended to use the method of applying horizontal concentrated loads for polynomial function parameter estimation.

关 键 词：悬臂结构 地震响应 广义单自由度模型 形函数 参数估计 

分 类 号：TU311.3[建筑科学—结构工程]