基于有限条带的厚/薄板矩形通用单元

THICK/THIN PLATE RECTANGULAR ELEMENT BASED ON FINITE STRIP

摘要: 基于两广义位移梁理论，利用解析试函数来建立厚/薄梁单元的横向位移、转角位移、曲率、剪应变等位移模式，构造出厚/薄梁通用单元. 应用有限条带，将厚/薄梁单元的位移模式应用于厚/薄板矩形弯曲单元，直接构造出单元的横向位移、转角、曲率、剪应变，导出了单元的刚度矩阵和结点等效力，编制了计算程序，进行了数值计算和比较，结果表明，所研究的单元不出现剪切闭锁且精度较好.

Abstract: Based on the beam theory of two generalized displacements, the trial function is used to construct the displacement functions.Further the generalized thick/thin beam is established. Appling the method,the generalized thick/thin plate element isconstructed based on the finite strips. Numerical analysis is carried out totest the theory in this paper. Results show that this element is excellentwith high precision and free from shear locking.