"Analytical modeling of squeeze film damping for rectangular elastic pl" by M. M. Altuğ Bıçak and M. D. Rao
 

Analytical modeling of squeeze film damping for rectangular elastic plates using Green's functions

Document Type

Article

Publication Date

10-25-2010

Department

Department of Mechanical Engineering-Engineering Mechanics

Abstract

An analytical method for the solution of squeeze film damping based on Green's function to the nonlinear Reynolds equation considering an elastic plate is presented. This allows calculating the stiffness and damping forces rapidly for various boundary conditions. The elastic plate velocity is applied to the nonlinear Reynolds equation as a forcing term. The nonlinear Reynolds equation is divided into multiple linear nonhomogeneous Helmholtz equations, which then can be solvable using the presented approach. Approximate mode shapes of a rectangular elastic plate are used, enabling the calculation of the damping ratio and frequency shift for the linear case, as well as the complex resistant pressure, for both linear and nonlinear cases.

Publication Title

Journal of Sound and Vibration

Plum Print visual indicator of research metrics
PlumX Metrics
  • Citations
    • Citation Indexes: 16
  • Usage
    • Abstract Views: 2
  • Captures
    • Readers: 15
see details

Share

COinS