MLPG混合配点法分析复合材料层合板的弯曲问题

提出了分析复合材料层合板弯曲问题的无网格局部彼得洛夫-伽辽金混合配点法,层合板理论采用经典理论。通过移动最小二乘近似构造形函数,采用配点法建立系统平衡方程,推导了系统刚度矩阵和载荷力向量。采用配点法和罚函数法分别施加自然边界条件和本质边界条件。计算实例表明,MLPG混合配点法具有较高的计算精度,并且相比其它的无网格法具有更高的计算效率。

Analysis of Laminated Composite Plates by Meshless Local Petrov-Galerkin Mixed Collocation Method

The meshless local Petrov-Galerkin mixed collocation method for flexural analysis of laminated composite thin plates is presented in this paper.The classical laminated plate theory（CLPT） is employed and the shape functions are constructed using moving least squares approximation.The collocation method is adopted for establishing the system equations.The traction boundary conditions are imposed into force equation directly.Numerical examples involving various lamination schemes are solved to demonstrate the validity of the method.Comparison of results with the exact and other known solutions in the literature suggests that the present method is an effective solution method for laminated composite plates.