Higher mode elliptical integral solution for the large amplitude free vibration of a rectangular plate backed by a cavity

Abstract

In this article, the elliptic integral solution form is adopted to obtain the higher mode natural frequencies of the large amplitude rectangular plate backed by a cavity. The main advantage of the proposed method is the concise acoustic structural modal formulation which do not require heavy computation effort. A set of numerical results are presented for studying the higher mode natural frequencies.

Keywords

• Large amplitude vibration
• Elliptical integral
• Structural-acoustic interaction