非协调逐层法及其在弯曲分析中的应用

AN INCOMPATIBLE LAYERWISE METHOD FOR BENDING LAMINATED SHELLS

基于Wilson非协调元技术和Reddy逐层理论(LWM),提出了非协调逐层法(ILWM),用于分析层合板壳结构的弯曲变形问题。推导了非协调逐层法的控制方程,并通过编写计算程序,进行算例分析,研究该方法的有效性。研究结果表明,对于弯曲问题,非协调逐层法的收敛速度和计算精度相比Reddy逐层理论都有很大的提高。

Based on Wilson incompatible element technique and Reddy ＇s layerwise theory（ LWM）,an incompatible layerwise method（ ILWM） is presented to deal with the bending problems of laminated shells in this study. Derivation of the equilibrium equations of the ILWM is performed. Several examples are studied to validate the capabilities of proposed method.The numerical results indicate that The ILWM achieves better convergence rate and computational accuracy compared with LWM for bending models.