船舶开口结构应力无网格分析技术研究

An Analysis Method of the Stress of Ship Opening Structure Based on Mesh-free Theory

文章提出了船舶结构开口处应力分析的无网格分析技术.将船体结构通过简化为板格结构,再将结构离散为独立的离散点,由移动最小二乘法建立离散点的位移场,然后在整个系统内建立起系统控制方程.本文提出的方法由于不涉及到网格划分,避免了有限元法在结构应力高梯度区域分析计算时出现的精度降低等问题.文章最后通过实例计算,并与有限元方法计算的结构进行了比较,得出了本文提出方法的有效性和准确性.

The paper presents an analysis method to solve stress of ship opening structure based on mesh-free theory,which is by simplifying the ship structures to grid structure,then dispersing the grid structure as a serial of independent points,and creating the moving least squares displacement field of discrete points to establish system control equations. The method presented in the paper does not involve meshing and avoids loss of precision by FEMs to solve stress on high gradient areas issues. Finally,the paper compares with the finite element method calculation of structure and verified that the effectiveness of the proposed method and accuracy with numerical example.