非比例滞变阻尼线性体系的反应谱CCQC法  

A response spectrum CCQC method of non-proportionally damped linear systems with hysteretic damping

作　　者：孙攀旭 杨红[2,3] Sun Panxu;Yang Hong(Zhengzhou University,Zhengzhou 450001,China;School of Civil Engineering,Chongqing University,Chongqing 400045,China;Key Laboratory of New Technology for Construction of Cities in Mountain Area of the Ministry of Education,Chongqing University,Chongqing 400045,China)

机构地区：[1]郑州大学,河南郑州450001 [2]重庆大学土木工程学院,重庆400045 [3]重庆大学山地城镇建设与新技术教育部重点实验室,重庆400045

出　　处：《土木工程学报》2021年第9期1-13,共13页China Civil Engineering Journal

基　　金：国家自然科学基金(51878100);重庆市研究生科研创新项目(CYB18036)。

摘　　要：基于比例阻尼体系建立的振型分解反应谱法应用广泛,是各国规范常用的结构地震作用效应计算方法,直接将其用于非比例阻尼体系(如设置耗能阻尼器的结构)是不合理的。为拓展规范反应谱法的适用范围,在基于复阻尼模型的滞变阻尼模型复模态叠加法基础上,该文结合虚拟激励法和平稳随机理论,推导基于滞变阻尼模型的反应谱CCQC(complex complete quadratic combination)法表达式,适用于非比例阻尼混合结构的地震作用效应计算。算例分析表明:与基于分块Rayleigh阻尼模型的反应谱CCQC法相比,基于滞变阻尼模型的反应谱CCQC法仅依赖于材料阻尼参数和结构刚度,计算结果唯一,不受振型组合的影响;与基于等效阻尼比的反应谱CQC法相比,基于滞变阻尼模型的反应谱CCQC法可有效考虑结构的非比例特性,适用于非比例特性显著的混合结构。The modal decomposition response spectrum method based on proportionally damped systems has been widely used as a common method of calculating the seismic effect of structures. However,it is unreasonable to apply this method directly to non-proportional damping systems,such as structures with energy dissipation dampers. In order to extend the application scope of the response spectrum method in the Code,the hysteretic damping model is established based on complex damping model, and then complex mode superposition method based on hysteretic damping model is proposed. By combining the pseudo excitation method with the stationary random vibration theory,the formula of CCQC( complex complete quadratic combination) method based on hysteretic damping model is derived. The proposed response spectrum method can be applied to calculating the seismic effect of non-proportional damping hybrid structures. Compared with the response spectrum CCQC method which is based on the common Rayleigh damping model,the proposed CCQC method is only dependent on the material damping parameters and the structural stiffness. The corresponding calculation results are unique,independent of the mode combination. Compared with the response spectrum CQC method which is based on the equivalent damping ratio,the proposed method can effectively model the non-proportional characteristics of hybrid structure, indicating that the method is applicable for hybrid structure with remarkable non-proportional characteristics.

关 键 词：非比例阻尼 滞变阻尼 黏性阻尼 复模态叠加 CCQC法 

分 类 号：TU311.3[建筑科学—结构工程]