【摘要】 本文采用非高斯矩闭合方法计算了一个含参数激振的二自由度强非线性耦合系统受随机激励的响应方差。用逐次消除法消除方程中的惯性耦合后推导出直到6阶的矩方程,采用中心累积量截断技术计算了白噪音激励下的响应方差,并与时域直接积分和数字模拟方法的结果进行比较,取得了一些有意义的结论。更多还原

【Abstract】 This paper applied a non-Gaussian moment equation closure method to compute random responses of a two-degree-of-system with strongly nonlinear coupling under parametric excitation. After removing the coupling of interia in the motion equations of the system by using successive elimination technique, the 69 moment equations have been derived and integrated by RK4 combined with central cumulate truncation scheme. A comparison of the results by different numerical methods in also given in this paper.更多还原