Ferguson曲面构造广义协调板单元

FORMULATION FOR GENERALIZED CONFORMING PLATE ELEMENT WITH FERGUSON’S SURFACE

根据广义协调原理，利用Ｆｅｒｇｕｓｏｎ曲面构造出薄板弯曲单元，将中厚板视为双向深梁，由Ｔｉｍｏｓｈｅｎｋｏ深梁理论求出单元边界拟合函数，从而将Ｆｅｒｇｕｓｏｎ曲面推广到中厚度板．所得单元模型在厚长比小于１／４时能给出较满意的数值结果，且不出现剪切闭锁现象．

This paper presents a thin plate element with Ferguson ’s bending surfaceaccording to generalized con forming theory, and advances it to moderate thick plate problem,regarded it as to-dimesional deep beam and getting out the function of element border byusing Timoshenko's beam theorem. The formulation of element can give the satisfactoryresults when the thick/long ratio is less than 1/4 and avoid shear lock phenomenon.