基于复阻尼模型的混合结构近似解耦法  

Approximate Decoupling Method of Mixed Structures Based on Complex Damping Model

作　　者：赵志明 杨红[1,2] 孙攀旭 刘庆林 ZHAO Zhiming;YANG Hong;SUN Panxu;LIU Qinglin(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;School of Traffic and Engineering,Shenzhen Institute of Information Technology,Shenzhen 518172,China)

机构地区：[1]重庆大学土木工程学院,重庆400045 [2]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 [3]深圳信息职业技术学院交通与环境学院,深圳518172

出　　处：《结构工程师》2020年第4期73-80,共8页Structural Engineers

基　　金：国家自然科学基金项目资助(51578343);重庆市研究生科研创新项目资助(CYB18036)。

摘　　要：黏性阻尼模型具有数学简易性的优点,作为混合结构计算中的常用阻尼模型而被广泛使用,其最大的不足是阻尼矩阵受振型组合影响,合理性不易被判定。为克服上述缺陷,提出基于复阻尼模型的近似解耦法,依据三角级数法实现地震作用下混合结构动力响应的时程计算。算例分析表明:与复阻尼模型的频域法相比,本文方法的计算精度满足要求,可用于混合结构的动力响应计算;相比黏性阻尼模型对振型组合的依赖性,本文方法计算结果具有唯一性,其合理性易被判定。Viscous damping model is widely used for dynamic analysis of mixed structure calculation due to its simplicity in mathematical treatment.However,this type of damping matrix is affected by the combination of vibration mode,and the rationality of results is difficult to be determined.In order to overcome the disadvantages,an approximate decoupling method based on the complex damping model was constructed.According to the trigonometric series method,the time-history calculation of the dynamic response of mixed structures under seismic excitation was realized.The calculation results show that compared with the frequency domain method based on complex damping model,the calculation accuracy of the proposed method meets the requirements and can be used for dynamic response calculation of mixed structures.Compared with the dependence of the viscous damping model on the mode combination,the proposed method obtains unique results and is easy to determine its rationality.

关 键 词：混合结构 复阻尼 近似解耦法 三角级数法 唯一性 

分 类 号：TU352.1[建筑科学—结构工程] TU398.9