ON ANALYTICAL AND EXPERIMENTAL SOLUTIONS FOR LARGE DEFLECTIONS OF CLAMPED CIRCULAR PLATE

Abstract

In this paper, the analytical land experimental solutions for large deflections of clamped circular diaphragm with built – in stress and finite element analysis are presented. The analytical solution is compared to both finite element and experimental results from a clamped circular diaphragm. The large deflections of a clamped circular plate under initial tension simulating a typical micro pressure sensor are studied. The approach follows von Karman plate theory for large deflections and incorporates with a finite difference numerical scheme, for solving the coupled nonlinear differential equations for transverse deflection and force resultants. A uniformly distributed transverse pressure is considered and the linear version of the problem concerning small deflection is investigated first as a preliminary study.