离散奇异内积法分析材料非线性柱的动力响应

引入离散奇异内积法分析材料非线性圆柱的动力响应．离散奇异内积方法是一种结合全局方法的高精度和局域方法的稳定性的计算方法．数值分析过程中用离散奇异内积方法离散空间导数，用四阶Runge—Kutta法离散时间导数．计算结果表明，离散奇异内积格式的求解结果和LP法的求解结果非常吻合．说明离散奇异内积格式非常适合数值分析材料非线性圆柱的动力响应问题，并且是一种具有很高的精度，和可靠性的高效的算法。

Discrete singular convolution for the dynamic responses of materially nonlinear pole

The discrete singular convolution (DSC) was introduced for analyzing the dynamical responses of materially nonlinear pole. The discrete singular convolution (DSC) is a new numerical method,which has not only the high accuracy of global methods but also the flexibility of local methods. The discrete singular convolution (DSC) algorithm was adopted to discretize the spatial derivatives, while the fourth-order Runge-Kutta method was adopted to discretize the temporal derivatives. The DSC results were very consistent with the solutions obtained by the perturbation method. It indicates that the discrete singular convolution is a very efficient, robust numerical method with high accuracy for solving the responses of materially nonlinear structures.