On the Berger approximation - A critical re-examination

Prathap, Gangan (1979) On the Berger approximation - A critical re-examination. Journal of Sound and Vibration, 66 . pp. 149-154.

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Abstract

The paper shows the origin of the Berger method, and how other Berger-like approximations can be developed which decouple the nonlinear Karman equations, using the two dimensional theory of elasticity. The arguments can be developed to show that other specious Berger-like approximations can be developed, all of them leading to uncoupled nonlinear equations yielding different overall results. Further, it is shown that such methods fail to predict the nonlinear behavior with important parameters and that whatever accuracy is obtained in the solution of a particular problem can be attributed to fortuity.

Item Type: Journal Article
Uncontrolled Keywords: Approximation;Elastic plates;Nonlinear equations;Strain energy methods;Stress analysis;Elastic deformation;Equilibrium equations;Error analysis;Isotropic media;Plate theory;Rectangular plates;Stress-strain relationships
Subjects: ENGINEERING > Structural Mechanics
Division/Department: Structures Division
Depositing User: Ms. Alphones Mary
Date Deposited: 28 Jan 2006
Last Modified: 24 May 2010 09:39
URI: http://nal-ir.nal.res.in/id/eprint/938

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