离散奇异卷积法结构分析

Structure Analysis by Discrete Singular Convolution

离散奇异卷积法是近几年内提出的一种新型的、具有潜力的数值计算方法。目前该法已被成功地用于结构元件的力学分析。本文介绍了离散奇异卷积法的原理,尝试用该方法分析工程结构中常用的梁、矩形板结构的弯曲、自由振动性能,并将计算结果与解析法和微分求积法的所得结果进行比较。结果表明,离散奇异卷积法是一种简单、可靠的数值计算方法。

Discrete singular convolution （DSC） is a novel and potential computational method in recent years. The method is simple and reliable. It is successfully utilized for analyzing structural components. In this paper, the principle of the DSC is introduced firstly. Then, the DSC is used for solving two classes of problems： the bending of the beam and the free vibration of rectangular plates with three different boundary conditions. Compared with the data obtained by using the differential quadrature method （DQM）, results show that the DSC is a simple and reliable numerical method.