计算力学学报2025，Vol.42Issue(5)：819-824,6.DOI:10.7511/jslx20240614001
弹性层界面刚度传递法
Interface stiffness transfer method for elastic multi-layered structures
摘要
Abstract
This paper presents an analytical method,namely interface stiffness transfer method,for evaluating the responses of multilayered elastic structures.Based on the Love function and general solutions,the stiffness matrix relationship of the displacement-stress state vectors is introduced to obtain the interface stiffness transfer matrix equation between adjacent layers,which satisfies an algebraic Riccati matrix equation.When the elastic layer is a half-space,an explicit solution is obtained directly for the interface stiffness matrix.The interface stiffness transfer matrix method starts from the bottom layer with a known stiffness,and then deals with one layer at a time until the uppermost layer is reached,obtaining the interface stiffness of the multilayered structure.Finally,by solving the symmetric equilibrium equations of the boundary conditions,the displacement-stress state vector of an arbitrary layer is obtained.This method keeps the advantages of the classical transfer matrix method,but naturally excludes its exponential growth terms.In particular,the proposed method is a powerful candidate for efficiently solving the algebraic Riccati equation for the optimal control problems.Numerical examples show the properties of the interface stiffness transfer method.关键词
弹性层状体系/对偶状态向量/界面刚度传递法/边界平衡方程/Riccati矩阵方程Key words
elastic layered system/dual variable state vector/interface stiffness transfer method/boundary equilibrium equations/Riccati matrix equations分类
力学引用本文复制引用
王超,刘天云..弹性层界面刚度传递法[J].计算力学学报,2025,42(5):819-824,6.基金项目
国家自然科学基金(52378350)资助项目. （52378350）
