考虑一阶系统参与组合的复模态分解反应谱法  

Complex modal superposition response spectrum method with first order system entering combination

作　　者：王刚[1] 王远[2] 周文松[3] 

机构地区：[1]深圳大学土木工程学院,广东深圳518060 [2]深圳大学数学与计算科学学院,广东深圳518060 [3]哈尔滨工业大学土木工程学院,黑龙江哈尔滨150000

出　　处：《地震工程与工程振动》2013年第4期89-94,共6页Earthquake Engineering and Engineering Dynamics

基　　金：广东省自然科学基金研究团队项目(9351806001000001);黑龙江省留学归国人员科学技术专项资金(LC07C05)

摘　　要：对地震作用下结构反应的复模态分解反应谱法进行了研究,指出在复模态分解反应谱法中,具有实特征值的模态不必组成二阶振动系统,可按一阶线性系统参与模态组合,且一阶线性系统只需要一条反应谱。给出了相应的复模态完全平方组合(CCQC)系数计算公式,该公式包括了一阶系统响应的相关函数和一阶系统响应与二阶系统响应之间的相关函数。通过算例验证了方法的可行性。This paper studies the complex modal superposition response spectrum method for analysis of structures under seismic loading. It states that when using complex modal superposition response spectrum method, one mode with real eigenvalue is not necessary to be combined with another real eigenvalue into 2nd order system and can be treated as 1 st order system. The peak response solutions of both 2nd order system and 1 st order system can be com- bined together using the complex complete quadratic combination （CCQC） method, and for 1st order system only one response spectrum is needed. Theory of random processes is used to developing the CCQC cross-correlation co- efficient formula between 2nd order system and 1st order system. An example structure is used to check the feasibil- ity of the proposed method.

关 键 词：复模态 反应谱 完全平方组合 实特征值 一阶线性系统 

分 类 号：P315.92[天文地球—地震学] TU311.3[天文地球—固体地球物理学]