Vibration of simply-supported trapezoidal plates: I - Symmetric Trapezoids

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

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A detailed investigation of the natural frequencies and mode shapes of simply supported symmetric trapezoidal plates is undertaken in this paper. For numerical calculations, the relationship that exists between the eigenvalue problem of a polygonal simply supported plate and the eigenvalue problem of polygonal membrane of the same shape is utilized with advantage. The deflection surface is expressed in terms of a Fourier sine series in transformed coordinates and the Galerkin method is used. Results are presented in the form of tables and graphs. Several features like the crossing of frequency curves and the metamorphosis of some of the nodal patterns are observed. By a suitable interpretation of the modes of those symmetric trapezoidal plates which have the median as the nodal line, the results for some of the modes of unsymmetrical trapezoidal plates are also deduced.

Item Type: Monograph (Technical Report)
Uncontrolled Keywords: Plates (Structural members);Resonant frequencies;Structural vibration;Trapezoids;Vibration mode;Bending vibration; Eigenvalues;Fourier series;Galerkin method;Membrane structures
Subjects: AERONAUTICS > Aerodynamics
Depositing User: Mr. Ravikumar R
Date Deposited: 01 Dec 2006
Last Modified: 24 May 2010 04:23

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