【作者】 孙广俊； 李鸿晶；

【Author】 SUN Guang-jun , LI Hong-jing(College of Civil Engineering, Nanjing University of Technology, Nanjing 210009, China)

【机构】 南京工业大学土木工程学院；

【摘要】 假定双向地震动为平稳随机过程。引入状态向量,在状态空间中建立了双向地震地面运动作用下结构的动力学方程,并求解出结构的复模态特性和复模态反应。利用复模态叠加法推导出线性时不变多自由度体系在双向随机地震动激励下的平稳协方差位移反应函数和速度反应函数的解析式,可在时域内直接计算出结构的双向随机地震反应的统计特征。最后通过一个二层框架结构计算实例,说明了这种方法的运用。更多还原

【Abstract】 It is assumed that the two horizontal components of ground motions are stationary processes. The equations of motion of the structures are represented by the state equations in state space subject to the seismic excitations, and the complex vibration characteristics and responses are analyzed. The method of a complex mode superposition is used to deduce the covariance response matrix of linear time-invariant structures excited by two horizontal earthquake excitations. The statistic characteristics of the structural displacement and velocity responses may be obtained directly from the covariance response matrix. Finally a two-story frame structure is given for numerical illustration of this method.更多还原