利用Ferguson曲面构造广义协调板单元
FORMULAIION FOR GENERALIZED CONFORMING PLATE ELEMENT WITH FERGUSON’S SURFACE
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摘要: 根据广义协调原理,首先利用Ferguson曲面构造出薄板弯曲单元,将中厚度板视为双向深梁,由Timoshenko理论拟合单元边界,利用Ferguson曲面的张量积性质,将薄板单元推广到中厚度板。数值结果表明此单元精度高,适应性强,且不出现剪切闭锁现象。Abstract: This paper presents a thin plate element with Ferguson’s surface according to generalized conforming theory,and advances it to moderate thick plate problem,regarding it as two-dimensional deep beam and getting out the functions of element border by using Timoshenko’s beam theorem. Calculation results show it is of high quality.