摘要
应用复振型分解方法,将非比例阻尼线性体系在地震作用下的动力方程求解问题转化为若干个广义复振子的求解与叠加问题。通过假定地震地面运动为一零均值的平稳随机激励,应用虚拟激励法原理,推导得到了广义复振子动力坐标的解析计算公式,进而得到了以复振型为基础的非比例阻尼线性体系随机地震响应计算的一般实数解析解答。算例证实了这种方法的可靠性及高效率。
In terms of the complex mode superposition method, the motion equations of general multiple degrees of freedom （MDOF） discrete system can be transferred into the combination of many complex oscillators. Assuming that the earthquake ground motion is a zero-mean-valued stationary random excitation, the analytic solutions of these complex oscillators are derived in virtue of the principle of pseudoexcitation method; then a delicate general solution of non-proportionally damped MDOF systems subjec- ted to earthquake ground motion, complete in real value form, is presented in this paper. Comparing with the traditional pesudo-excitation method, to ensure the accuracy in the dynamic response ana non-proportionally damped MDOF systems, the less modes in complex conjugate pairs is require lysis of dinusing the proposed pseudo-excitation method in this paper, so that the computing efficiency is mproved greatly. A numerical example is given to demonstrate the validity and efficiency of the algorithm.
出处
《计算力学学报》
EI
CAS
CSCD
北大核心
2008年第1期94-99,共6页
Chinese Journal of Computational Mechanics
基金
湖南省自然科学基金(02JJY2085)
北京市重点实验室开放基金(JSER2004-4)资助项目
关键词
非比例阻尼线性体系
复振型分解法
广义复振子
地震响应
虚拟激励法
non-proportionally damped systems
complex mode superposition method
complex oscillator
structural stationary random responses
pseudo-excitation method
