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首页> 外文期刊>Key Engineering Materials >Finite Element Analyses of Cylinder Problems using Pseudo General Plane Strain Elements (Planar Constraint)
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Finite Element Analyses of Cylinder Problems using Pseudo General Plane Strain Elements (Planar Constraint)

机译：使用伪通用平面应变元素（平面约束）的圆柱问题的有限元分析

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摘要

A long cylinder composed of periodic structures along the axis can not be treated as a general plane strain(GPS) state, because within a repeated module, the geometry and loading condition may not be uniform along the axial direction. For this kind of situation, a ' more general kind of GPS ' finite element is needed that uses a set of 'planar constraints', hereinafter called a ' pseudo general plane strain(PGPS) finite element'. Otherwise, a high number of constraints need to be used, which is a tedious job and often gives rise to an input error. Plus, this can also cause a numerically ill conditioned stiffness matrix that results in a trivial or diverged solution. Accordingly, this study proposes several PGPS finite elements that use a set of planar constraints to solve long periodic cylinder problems, as well as conventional long cylinder and plane strain problems.
机译：沿轴由周期性结构组成的长圆柱体不能视为一般平面应变（GPS）状态，因为在重复的模块内，沿轴向方向的几何形状和加载条件可能不均匀。对于这种情况，需要使用一组“平面约束”的“更通用的GPS”有限元，以下称为“伪通用平面应变（PGPS）有限元”。否则，需要使用大量约束，这是一项繁琐的工作，通常会导致输入错误。另外，这还会导致数值病态的刚度矩阵，从而导致平凡或发散的解决方案。因此，本研究提出了几种PGPS有限元，它们使用一组平面约束来解决长周期圆柱体问题以及常规的长圆柱体和平面应变问题。

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