一种边界上满足C_1连续条件的4结点圆柱壳单元

A4-Node Curved Cylindrical Shell Discrete Element Satisfied C_1 Continuity at Boundary

基于Kirchhoff假设的薄壳理论,不考虑横向剪切变形的影响,采用单位宽纵横向有限条带,构造了一种仅含有3个位移场函数,且在弯曲位移模式上满足C1连续条件的4结点圆柱壳单元.该单元自由度少,符合收敛条件,且能够正确地满足圆弧形边界条件,考虑了薄膜效应和弯曲作用之间的耦合关系.经验证不仅计算速度快,计算精度也较高.

Based on Kirchhoff's hypotheses for thin shell, a 4-node curved cylindrical shell discrete element including three displacement functions and satisfied C1 continuity is constructed. The transverse shear deformation influence is ignored and the unit width finite strip in length and breadth is adopted for the element. The element is characterized by less degrees of freedom and high accuracy. The convergence condition and the curved boundary conditions are satisfied. Moreover, the coupling relations between membrane and bending are considered.