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Static and dynamic analysis of 2D and 3D elastic solids using the modified FGFEM

机译:使用改进的FGFEM对2D和3D弹性实体进行静态和动态分析

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摘要

In this paper, a modification on the fixed grid finite element method (FGFEM) is presented and used for the static and dynamic analysis of 2D and 3D elastic solids. In this study, fixed non-boundary-fitted meshes are used to solve elasticity problems. A new approach for computing stiffness matrix of boundary intersecting elements is presented. Natural boundary conditions applied via numerical integration of traction forces and essential boundary conditions applied using a technique based on penalty function on the non-conforming boundaries. The proposed method is applied to some 2D and 3D problems in linear elasticity and the results show good agreement with analytic solutions. This method is also used for the natural frequency analysis of elastic solids and the results show good agreement with those obtained using the finite element method.
机译:本文提出了对固定网格有限元方法(FGFEM)的改进,并将其用于2D和3D弹性实体的静态和动态分析。在这项研究中,使用固定的无边界拟合网格来解决弹性问题。提出了一种计算边界相交单元刚度矩阵的新方法。通过对牵引力进行数值积分而应用的自然边界条件和使用基于罚函数的技术在不合格边界上应用的基本边界条件。将该方法应用于线性弹性的2D和3D问题,其结果与解析解吻合良好。该方法还用于弹性固体的固有频率分析,结果与使用有限元方法获得的结果吻合良好。

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