Prathap, Gangan (1979) On the Berger approximation - A critical re-examination. Journal of Sound and Vibration, 66 . pp. 149-154.Full text not available from this repository.
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|
|Depositing User:||Ms. Alphones Mary|
|Date Deposited:||28 Jan 2006|
|Last Modified:||24 May 2010 09:39|
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