AMPLITUDE-FREQUENCY CHARACTERISTICS OF NON-LINEAR TRANSVERSE VIBRATIONS OF CIRCULAR PLATES OF VARIABLE RIGIDITY

B M KARMAKAR

Abstract


Large amplitude vibrations of an isotropic clamped circular plate with variable rigidity has been investigated by Galerkin procedure applied to Berger's approximate method for large deflections. The non-linear second order differential equation thus obtained for the unknown time Junction is solved in terms of Jacobian elliptic functions.

Results obtained from numerical calculations are presented graphically.


Keywords


Amplitude-frequency; Galerkin procedure; Berger's method; transverse vibrations; Jacobian functions.

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