Symplectic Solutions in Stress Analysis of Thin Plates

Abstract

Aiming at the common elastic thin plate materials in engineering, the dual control differential equation and the complete solution space composed of zero eigensolution and non-zero eigensolution are established in the state space. On this basis, the non-homogeneous condition of the boundary and the solution method of the non-homogeneous equation are studied systematically. The stress distribution of thin plate bending problem is discussed with an example, and the stress concentration of material under special constraints is analyzed.