非线性振动卷积积分方程组快速数值解

Fast Numeric Evaluation of Convolution Integral Equations for Nonlinear Vibrations

对非线性振动卷积积分方程组应用数值积分方法建立迭代函数，发展速推算法快速计算卷积，迭代求解方程组计算振动位移时间历程．

In this paper the stepfunctions to numerically evaluate convolution integral equations for nonlinear vibrations are constructed with the help of numeric integral formulas, a recurrence arithmetic to fast evaluating convolution integrals is developed, and the equations are solved by applying iteration method to obtain the time history of nonlinear cutting vibrations.