可恢复功能复合结构体系基于复模态叠加法的响应分析和应用  

RESPONSE ANALYSIS AND APPLICATION OF EARTHQUAKE RESILIENT DUAL-SYSTEMS UPON COMPLEX MODE SUPERPOSITION METHOD

作　　者：武大洋 张璐 杨国涛 赵斌[2] WU Da-yang;ZHANG Lu;YANG Guo-tao;ZHAO Bin(College of Civil Engineering,Qingdao University of Technology,Qingdao,Shandong 266520,China;State Key Laboratory of Disaster Reduction in Civil Engineering,Tongji University,Shanghai 200092,China)

机构地区：[1]青岛理工大学土木工程学院,山东青岛266520 [2]同济大学土木工程防灾国家重点实验室,上海200092

出　　处：《工程力学》2024年第7期147-162,共16页Engineering Mechanics

基　　金：国家自然科学基金项目(51978351);山东省自然科学基金项目(ZR2020QE277)。

摘　　要：可恢复功能复合结构体系利用黏滞阻尼等耗能机制可显著提高抗震韧性水平,同时导致其非比例阻尼特征更加突出,采用传统振型叠加法进行响应计算会产生较大误差。为建立该类体系面向抗震韧性的设计方法,该文在前期研究基础上,推导得到可恢复功能复合结构体系分布参数模型复模态正交性条件,建立了该类体系基础激励下动力响应的复模态叠加计算方法。在验证推导正确性后,将该方法应用于两个方面:传统振型叠加法响应计算误差分析和复合体系的设计参数选择。结果表明:相比于振型叠加法只在非比例阻尼不显著的情况具备较好的计算精度,复模态叠加法不仅可以更加准确地计算地震响应,而且可以量化黏滞阻尼对结构响应的控制效果,对于指导该类体系的设计具有参考价值。Energy dissipation mechanism,such as viscous damping,is dramatically beneficial to improve seismic resilience of earthquake resilient dual-systems.At the same time,large amounts of viscous damping make this system have more significant non-proportional damping characteristics,which leads to a large error when calculating response by using the traditional mode superposition method.Aiming at establishing a seismic resilience-oriented design method for this system with previous research,the complex mode orthogonality conditions are derived first for the distributed parameter model of the system,and then the complex mode superposition method is developed for computing its dynamic response under base excitations.Two applications are conducted with this method after verification:response calculation error analysis of the traditional mode superposition method,and choice of design parameters.It is found that:compared with the mode superposition method which only has fairly good calculation accuracy provided that the non-proportional damping is not significant,the complex mode superposition method performs better on calculation accuracy and on quantifying the control effect of viscous damping,which is helpful to design this system.

关 键 词：可恢复功能结构 非比例阻尼 分布参数模型 复模态叠加法 摇摆机制 耗能机制 

分 类 号：TU352.1[建筑科学—结构工程]