Vibration of simply-supported trapezoidal plates: II - Unsymmetric Trapezoids

Chopra, I and Durvasula, S (1972) Vibration of simply-supported trapezoidal plates: II - Unsymmetric Trapezoids. Technical Report. National Aeronautical Laboratory, Bangalore, India.

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Abstract

This paper deals with the investigation of the vibration characteristics of simply-supported unsymmetric trapezoidal plates. For numerical calculations, the relationship between the eigenvalue problems of a polygonal simply-supported plate and polygonal membrane is again effectively utilized. The Galerkin method is applied, with the deflection surface expressed in terms of a Fourier sine series in transformed coordinates. Numerical values for the first seven to eight frequencies for different geometries of the unsymmetric trapezoid are presented in the form of tables. Also the nodal patterns for a few representative configurations are presented.

Item Type: Monograph (Technical Report)
Uncontrolled Keywords: Plates (Structural members);Structural vibration;Trapezoids; Vibration mode;Eigenvalues;Galerkin method;Membrane structures; Resonant frequencies
Subjects: AERONAUTICS > Aerodynamics
Depositing User: Users 64 not found.
Date Deposited: 01 Dec 2006
Last Modified: 24 May 2010 04:23
URI: http://nal-ir.nal.res.in/id/eprint/3572

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