Effects of Residual Stress on the Hydro-Elastic Vibration of Circular Diaphragm
Abstract
The effects of residual stress on the hydro-elastic vibration of circular diaphragm are theoretically investigated by using
the added mass approach. The Kirchhoff theory of plates is used to model the elastic thin circular diaphragm on an aperture
of an infinite rigid wall and in contact with a fluid on one side. The fluid is assumed to be incompressible and
inviscid and the velocity potential is used to describe its irrotational motion. A non-dimensional tension parameter is
defined, and the effects of the tension parameter on the frequency parameters and mode shapes of the diaphragm in the
air are presented. The Hankel transform is applied to solve the fluid-diaphragm coupled system; boundary conditions
are expressed by integral equations. Finally, the effects of residual stress on the non-dimensional added virtual mass
incremental (NAVMI) factors of the diaphragm contact with a fluid on one side are investigated. It is found that the
effects of the residual stress cannot be neglected when the edges of the circular diaphragm are clamped. The effects of
residual stress for NAVMI factors can be increases 11% when the non-dimensional tension parameter is 1000