【作者】 吴勇； 徐汉涛； 於昌荣；

【Author】 Wu Yong Xu Hantao Yu Changrong( Department of Civil Engineering, Nantong Institute of Technology, Nantong 226007)

【机构】 南通工学院建工系；

【摘要】 介绍一种非线性方程近似解析算法——逆算符方法,并将此法应用于单摆振动,求出振动方程自由响应的解析解和随机激励下的解的统计特性。此法有很大的普遍性,特别是对复杂问题的定量计算,大有应用和发展前途。更多还原

【Abstract】 Inverse operator theory method, which has been developed by G. Adomian in recent year, and its applications in nonlinear vibration are described concisely. The method can be a unified effective procedure for solution of nonlinear and/or stochastic dynamical problem by us. As a sample, oscillation of a pendulum has been discussed. An approximation analysis solution of the response of free oscillation of the pendulum and a mean and variance of the response of forced oscillation under the action of stochastic external forces have been obtained.更多还原