VIBRATIONS OF IRREGULAR-SHAPED ORTHOTROPIC PLATES RESTING ON ELASTIC FOUNDATION UNDER INPLANE FORCES

Paritosh Biswas

Abstract


A unified method for determining the lowest natural frequency of linear vibrations of orthotropic plates of any shape under inplane forces and placed on elastic foundation is given. Conformal mapping technique is introduced and Galerkin's method is used to calculate approximate values of lowest natural frequency.

Keywords


Orthotropic; elastic foundation; inplane forces; mapping function.

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