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A numerical method of the ship structures analysis based on meshless local Petrov-Galerkin method

机译:基于无网格局部Petrov-Galerkin方法的船舶结构分析数值方法

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The paper presents a numerical simulation method for ship structures based on meshless local Petrov-Galerkin method. The proposal method is a suitable for adaptive computation method while processing the displacement and stress fields of the ship structures in high-gradient regions. Above all, based on the theory of Mindlin-Reissner plate, the field approximation function of the displacement is obtained by employing Moving-least Square method, and then the governing equation and the stiffness matrix of the structures are established. Numerical demonstrations show the solutions of the presented method are good agreement between FEM-ANSYS and the proposed approach, which verifies the validity of the presented method for the ship structures analysis.
机译:提出了一种基于无网格局部Petrov-Galerkin方法的船舶结构数值模拟方法。在处理高梯度区域船舶结构的位移场和应力场时,该方法适用于自适应计算。首先,基于Mindlin-Reissner板理论,采用最小二乘方法获得位移的场近似函数,进而建立结构的控制方程和刚度矩阵。数值算例表明,该方法的求解结果与有限元方法及所提出的方法吻合良好,验证了该方法在船舶结构分析中的有效性。

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