【摘要】 本文用动力松弛法(DR法)分析了双模量复合材料叠层板的线性弯曲问题。文中介绍了用DR法求解该问题的主要步骤及保证数值计算稳定性的重要参数——虚拟密度的计算方法,给出了三种双模量复合材料正交叠层简支矩形板在正弦载荷及均布载荷作用下的中性面位置、挠度和内力等的数值结果。与现有的精确解比较以及计算实践表明,该法简便、准确,易于程序化,是一种比较有效的数值分析方法,值得研究并推广应用。更多还原

【Abstract】 In this paper, the method of Dynamic-Relaxation (DR) is used for analyzing the linear bending of laminated plates of bimodular composite materials. The main steps of solving this problem and the procedure of calculating the fictitious densities which control the numerical stability of DR solution are presented. The re-suites with regard to neutral surface positions, transverse deflections and internal forces are given for two-layer cross-ply, simply supported rectangular plates made of three kinds of bimodular composite materials under sinusoidally distributed and uniformly distributed loads. The computational practice and the comparisons between the present results and the existent exact solutions indicate that the DR technique is relatively simple, accurate and easy to program. Therefore, this is a relatively effective numerical method and it is worthy to be further explored and applied.更多还原