RECIPROCAL THEOREM METHOD FOR THE FORCED VIBRATION OF ELASTIC THICK RECTANGULAR PLATES

Abstract

Abstract: In this paper, reciprocal theorent method (RTM) is generalized to solve the problems for the forced vibration of thick rectangular plates based on the Reissner’s theory. The paper derives the dynamic basic solution of thick rechangular plates:and the exact analytical solution of the steady-state responses of thick rectangular plates with three clamped edges and one free edge under harmonic uniformly distributed disturbing forces is found by RTM. It is regarded as a simple, convenient and general method forcalculating the steady-state responses of forced vibration of thick rectangular plates.

Key words: reciprocal theorem method, dynamic basic solution, thickrectangular plate, forced vibration

Li Huijian;Fu Baolian;Tan Wenfeng . RECIPROCAL THEOREM METHOD FOR THE FORCED VIBRATION OF ELASTIC THICK RECTANGULAR PLATES. Applied Mathematics and Mechanics (English Edition), 1998, 19(2): 191-205.

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RECIPROCAL THEOREM METHOD FOR THE FORCED VIBRATION OF ELASTIC THICK RECTANGULAR PLATES

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