用于多种夹层板等效的有限元分析法

针对夹层板力学性能解析法难于计算复杂结构的夹层板且通用性差的问题,本文采用有限元分析法研究了夹层板性能的等效方法。对夹层板的代表体单元模型施加位移约束,模拟弯曲变形时线性独立的应变分量和弯曲内力;根据夹层板内力与应变的本构关系,求出刚度矩阵;最后由刚度矩阵得出宏观等效弹性常数,从而把夹层板等效成连续材料的单层板单元。将该方法与解析法计算结果进行比较得到的夹层板单元四个主要弹性常数误差在0.2%以内,验证了该方法的有效性;另外采用该方法等效三种典型结构夹层板,比较实际模型和等效模型的弯曲响应,得到的误差均在1.4%以内,表明该方法在不考虑复杂多变的夹芯结构时具有通用性。

Equivalent approach for the finite element analysis of various sandwich panels

Due to the poor generality,the analytical method can not be used to calculate the mechanical performance of sandwich panels with complex structure.Finite element analysis equivalent approach is applied to investigate the equivalent approach of sandwich panels in this research.The displacement constraints are exerted on the representative volume element model of sandwich panels to simulate the linear independent strain component and bending forces.Stiffness matrix is computed according to the constitutive relation of internal forces and strain.Finally,macroscopic equivalent elastic constants are obtained from the stiffness matrix,thus,sandwich panels can be equivalent to continuous single-layer plate volume elements.The errors of four main elastic constants of sandwich volume elements are within 0.2%,compared with the calculated results from analytical method,hence the validity of finite element analysis equivalent approach is proved.In addition,this method is applied to sandwich panels with three typical core structures.The errors of bending responses between the actual model and equivalent model are within 1.4%,which shows that the finite element equivalent approach do not need consider the complexity of sandwich panels with core structure,so it has generality.