Compact analytical modeling of squeeze film damping with arbitrary venting conditions using a Green's function approach

An analytical method based upon a Green's function solution to the linearized Reynolds equation is presented which allows the resulting forces from compressible squeeze film damping to be rapidly calculated for arbitrary acoustic venting conditions along the edges of a moveable structure. The resulting models are computationally compact, and thus applicable for dynamic system simulation purposes. Arbitrary deflection profiles can also be treated, enabling the calculation of damping effects for cantilevers, diaphragms, tilting plates, and drum-head modes. The method is theoretically described and a catalog of several useful cases is then presented to illustrate its use. (C) 1998 Elsevier Science S.A. All rights reserved.