This paper presents static analysis of a double-plate system using the boundary element method. The system is composed of two parallel plates with an elastic layer in between. The plates are assumed to be represented by the Kirchhoff plate model and the elastic layer is treated as a Winkler elastic foundation. The mathematical steps required to establish a boundary element technique are adequately addressed: integral equations, fundamental solution; domain integral transformation into boundary integral, and formation of an algebraic system of the double-plate problem. Numerical examples of double plate problems with different mechanical properties, boundary conditions, and load types are presented.

本文介绍了使用边界元法对双板系统进行的静力分析。该系统由两个平行板组成，中间有弹性层。假设板由 Kirchhoff 板模型表示，弹性层被视为 Winkler 弹性基础。充分解决了建立边界元技术所需的数学步骤：积分方程、基本解；域积分转化为边界积分，形成双板问题的代数系统。给出了具有不同机械特性、边界条件和载荷类型的双板问题的数值示例。