Article ID Journal Published Year Pages File Type
10295843 Thin-Walled Structures 2011 8 Pages PDF
Abstract
The elaborated method of eigenfunction expansion in terms of transcendental Mathieu and modified Mathieu functions is employed to present the first known exact time-domain series solution for transverse vibrations of a uniform elastic membrane of elliptical shape under arbitrary loading and initial conditions. Numerical calculations for displacement time response of an elliptical membrane of typical aspect ratio excited by various common types of transient loads are presented and discussed. Limiting cases are considered and good agreements with available results are obtained.
Related Topics
Physical Sciences and Engineering Engineering Civil and Structural Engineering
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