地震激励结构阻尼系统响应的高效计算方法  

A efficient method for random seismic responseanalysis of structural damped systems

作　　者：赵旭奇 冯毅夫 ZHAO Xu-qi;FENG Yi-fu(College of Mathematics and Computer Jilin Normal University,Siping 136000,China;School of Public Basic,Anqing Medical College,Anqing 246052,China)

机构地区：[1]吉林师范大学数学与计算机学院,吉林四平136000 [2]安庆医药高等专科学校公共基础学院,安徽安庆246052

出　　处：《吉林师范大学学报（自然科学版）》2024年第4期65-68,共4页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(11672118);吉林省教育厅科学技术研究项目(JJKH20230505KJ);安徽省高等学校科学研究项目(2023AH053427)。

摘　　要：引入了随机地震激励下结构阻尼系统响应的高效计算新方法.基于大质量法结合虚拟激励法,构造结构在一个频段内的频域解.将结构响应分为两部分:低阶模态和高阶模态部分.由于截断模态对于结构响应有不可忽略的影响.通过构造迭代格式近似构造高阶模态响应部分.数值实验表明,相对比模态叠加法,本文的方法不仅显著减少了计算时间,并且保证了结果的准确性.This paper introduced an efficient new method for calculating the response of structural damping systems under random seismic excitation.Based on the large mass method combined with the pseudo excitation method,a frequency domain solution of the structure in a frequency interval is constructed.The structural response is divided into two parts:the low order modes and the high order modes.Due to the significant impact of truncated modes on the structural response,an iteration algorithm is constructed to approximate the high order mode contribution.The illustrative example shows that compared to the modal superposition method,this method not only significantly reduces calculation time but also ensures the accuracy of the results.

关 键 词：滤波白噪声 地震响应 大质量法 虚拟激励法 

分 类 号：O342[理学—固体力学]