Abstract:

Many of the structural members like aircrafts, automobiles and any machine elements are made of simple structures, they may be beams or columns (one dimensional), plates (two dimensional) and shells (three dimensional) structures. These structural components are generally subjected to dynamic loadings in their working life. Very often these components may have to perform in severe dynamic environment where in the maximum damage results from the resonant vibration. Maximum amplitude of the vibration must be in the limit for the safety of the structure. Hence vibration analysis has become very important in designing a structure to know in advance its response and to take necessary steps to control the structural vibrations and its amplitudes. In the current investigation, a simple and efficient coupled displacement field method is developed to study the free vibration behavior of the moderately thick rectangular plates. A single term trigonometric admissible displacement field is assumed for one of the variables (in both X , Y directions). Making use of the coupling equation, the spatial variation for the lateral displacement field is derived in terms of the total rotations. The linear fundamental frequency parameters for the all edges simply supported moderately thick rectangular plates are derived and the numerical results obtained from the present formulation are in very good agreement with those obtained from the existing literature.

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