可考虑剪切变形影响的稳定函数单元模型

Stability function element model considering shear deformation effects

以考虑剪切变形影响的稳定函数单元的割线刚度方程为基础,导出了单元切线刚度方程.针对切线刚度矩阵中一些元素的数值在某一区段内难于求得的问题,采用数字插值和多项式曲线拟合的方法,得到了切线刚度矩阵.最后,由数值算例验证了改进模型的正确性.

An element tangent stiffness equation was derived based on the secant stiffness equation of stability function elements with shear deformation effects considered. In consideration of the fact that some elements in the tangent stiffness matrix were difficult to be solved in certain ranges, the interpolation and polynomial fitting methods were adopted for the tangent stiffness matrix. Examples show that the improved model is reasonable.