任意四边形杂交Mindlin板单元
A New Hybrid Quadrilateral Finite Element for Mindlin Plate
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摘要: 本文把基于虚功原理的杂交有限元模型用于板弯曲问题,构造了一个考虑横向剪应变的任意四边形新型板单元,本单元的突出优点是采用了一种比较合理的位移插值函数,使之能较真实地模拟各类板的变形,且用的自由度最少。文中对此单元作了比较广泛的数值试验,计算结果表明它对板厚有相当宽的适用范围,对于各种例题均能在较粗的网格下得到满意的精度。Abstract: In this paper a new quadrilateral plate element concerning the effect of transverse shear strain has been presented. It is derived from the hybrid finite element model based on the principles of virtual work. The outstanding advantage of this element is to use more rational trial functions of the displacements. For this reason, every variety of plate deformation can be simulated really whilc the least degrees of freedom is employed.A wide range of numerical tests was conducted and the results illustrate that this element has a very wide application scope to the thickness of plates and satisfactory accuracy can be obtained by coarse mesh for all kinds of examples.
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Key words:
- hybrid finite element /
- Mindlin plate /
- zero-energy mode /
- eigenvalue test
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