河北工程大学学报(自然科学版)2024,Vol.41Issue(1) :17-22.DOI:10.3969/j.issn.1673-9469.2024.01.003

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

吴承宇 何军
河北工程大学学报(自然科学版)2024,Vol.41Issue(1) :17-22.DOI:10.3969/j.issn.1673-9469.2024.01.003

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

吴承宇 1何军1
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作者信息

  • 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
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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.

Abstract

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 in-vestigated 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 horizon-tal 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

Key words

cantilever structures/earthquake responses/generalized single degree of freedom model/shape functions/parameter estimation

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基金项目

国家自然科学基金资助项目(5197080363)

出版年

2024
河北工程大学学报(自然科学版)
河北工程大学

河北工程大学学报(自然科学版)

CSTPCD
影响因子:0.543
ISSN:1673-9469
参考文献量12
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