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复阻尼结构动力方程的高斯精细时程积分法
引用本文:潘玉华,王元丰.复阻尼结构动力方程的高斯精细时程积分法[J].工程力学,2012(2):16-20.
作者姓名:潘玉华  王元丰
作者单位:(北京交通大学土木建筑工程学院
基金项目: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...

关 键 词:复阻尼  精细时程积分法  高斯积分  Newmark-法  频域法

GAUSS PRECISE TIME-INTEGRATION OF COMPLEX DAMPING VIBRATION SYSTEMS
PAN Yu-hua,WANG Yuan-feng.GAUSS PRECISE TIME-INTEGRATION OF COMPLEX DAMPING VIBRATION SYSTEMS[J].Engineering Mechanics,2012(2):16-20.
Authors:PAN Yu-hua  WANG Yuan-feng
Affiliation:(School of Civil Engineering and Architect,Beijing Jiaotong University,Beijing 100044,China)
Abstract: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.
Keywords:complex damping  precise time-integration method  Gauss quadrature method  Newmark-β method  frequency-domain solution
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