复阻尼结构动力方程的高斯精细时程积分法  

GAUSS PRECISE TIME-INTEGRATION OF COMPLEX DAMPING VIBRATION SYSTEMS

作　　者：潘玉华[1] 王元丰[1] 

机构地区：[1](北京交通大学土木建筑工程学院,北京100044

出　　处：《工程力学》2012年第2期16-20,共5页Engineering Mechanics

基　　金：国家自然科学基金项目(50778020);国家自然科学基金项目(50978015)

摘　　要：复阻尼振动系统的瞬态响应通常只能在频域内求解。该文根据复阻尼理论应遵循对偶复化的原则,结合精细积分指数矩阵和高斯积分的运算方法,通过理论推导,给出了复阻尼结构动力方程的高斯精细时程积分法。分别采用Newmark-法和高斯精细时程积分法计算了复阻尼多自由度系统地震时程响应,并与频域法(视为精确解)的计算结果进行比较。结果表明:高斯精细时程积分法可用于复阻尼系统动力时程分析;且比Newmark-法有更高的精度和效率。The vibration analysis of complex damping systems is fulfilled mainly in frequency domain.Based on the dual principle of complex damping theory,a new time-history analysis method is proposed for complex damping systems,which combines the Gauss quadrature with the calculation technique of an exponential function matrix in the precise time-integration method.The responses of complex damping MDOF systems are calculated by Newmark-β method and Gauss precise time-integration method respectively,and compared with the frequency-domain solution.It is shown that Gauss precise time-integration method,having higher precision and efficiency than Newmark-β method,can be used to solve the complex damping vibration equation.

关 键 词：复阻尼 精细时程积分法 高斯积分 Newmark-法 频域法 

分 类 号：TU311.3[建筑科学—结构工程]