Modal analysis of the metallic membrane from elastic coupling structure

Abstract

The paper describes the modal analysis used to extract the natural frequencies and mode shapes of a flexible membrane from elastic coupling structure. A membrane should be designed to produce natural frequencies that will prevent the coupling component from vibrating at one of its fundamental modes under operating conditions. The modal analysis is developed on paper for one membrane. This study and the corresponding results are given and discussed. Modal analysis is important as a precursor to any dynamic analysis because knowledge of the membrane's fundamental modes and frequencies can help characterize its dynamic response and decrease the vibrations' amplitudes.