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基于一种新型三角形壳单元的动态非线性有限元分析

n new triangle shell element for non-linear explicit dynamic analysis

中文摘要英文摘要

本文给出一种基于新型光滑三角形壳单元的非线性动态显式有限元分析。基于三角形网格边建立光滑局部坐标系,并在光滑坐标系下采用梯度光滑方法对三角形网格边相关光滑域进行应变光滑,采用离散剪切间隙方法有效消除剪切自锁,从而达到在不增加额外参数的前提下提高壳单元计算精度和收敛性。基于光滑有限元弱形式建立动态非线性离散系统方程,并给出单元节点内力矢量。数值算例表明,新型光滑三角形壳单元对弹性和弹塑性动态问题均具有良好的收敛性和精度。

he paper presents an edge-based smoothed triangular element for nonlinear analysis of shell structures using an explicit dynamic formulation. In order to improve the accuracy and the convergence of the shell element without additional parameters, the gradient smoothing operation is performed to the strain rates in the smoothing domains associated with the edges of triangular elements. An edge coordinate system is defined local on the edges of the triangular element for the strain smoothing operation. The shear strains in the element formulation are approximated using the Discrete Shear Gap (DSG) method to mitigate the shear locking. The discretized system equations are obtained by using the smoothed weak form, and internal force matrices are formulated. Numerical results for elastic and elastic-plastic problems show the effectiveness and efficiency of the proposed shell element.

崔向阳、郑刚、伍素珍

工程基础科学

三角形单元光滑梯度非线性有限元动态显式分析

triangular shell elementgradient smoothing techniquenon-linear finite elementexplicit dynamic analysis

崔向阳,郑刚,伍素珍.基于一种新型三角形壳单元的动态非线性有限元分析[EB/OL].(2013-03-15)[2025-08-18].http://www.paper.edu.cn/releasepaper/content/201303-590.点此复制

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