基于等效线性化的惯容减震结构优化设计  

Optimal Design of the Structure Incorporated with a Tuned Viscous Mass Damper Based on an Equivalent Linearization Principle

作　　者：罗浩[1] 张瑞甫[1] 翁大根[1] 沈华[1] LUO Hao;ZHANG Ruifu;WENG Dagen;SHEN Hua(Research Institute of Structural Engineering and Disaster Reduction,Tongji University,Shanghai 200092,China)

机构地区：[1]同济大学结构工程与防灾研究所,上海200092

出　　处：《结构工程师》2018年第5期92-97,共6页Structural Engineers

基　　金：上海市浦江人才计划资助(17PJ1409200)

摘　　要：本文以设置一种调谐惯容器(TVMD)的结构为研究对象,就现有基于定点理论所得优化设计公式不能考虑主体结构阻尼影响的问题,采用一种等效线性化方法,对定点理论得到的优化结果进行修正,从而得到适用于有阻尼结构的TVMD参数优化设计公式。对定点理论公式和本文修正公式的优化结果进行了比较分析,结果表明:与基于定点理论的TVMD体系参数优化结果相比,在质量比相同的情况下,本文提出的修正公式所得优化刚度比和附加阻尼比更小,并且相应的TVMD结构体系的位移放大系数峰值更低。With respect to the problem that the widely-used optimal design formulas,which are based on fixed-point theory,for the structure with a tuned viscous mass damper(TVMD)cannot consider the effect of structural damping,a set of amended optimal design formulas,which can take the optimal results obtained by fixed-point theory into consideration,for the structure with a TVMD are obtained by using an equivalent linearization method in this study.Comparisons between the optimal results of the proposed formulas in this article and those of the formulas based on fixed-point theory are made.It is found that,compared with the results of the optimal design formulas based on the fixed-point theory,in the case of the same mass ratio,the optimal stiffness ratio and optimal additional damping ratio based on the amended optimal design formulas proposed in this study are smaller,and the according maximum displacement amplification factor of the structure with a TVMD is lower.

关 键 词：调谐惯容器 定点理论 等效线性化 频率比 附加阻尼比 

分 类 号：TU352.1[建筑科学—结构工程]