ばね-質量系を有する直交異方性板の自由振動解析

概要

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An approach is proposed for estimating natural frequency and mode shape of an orthotropic plate which has attached spring-mass systems. The approach consists of three steps : 1) reduction of the governing equation of the plate with attached spring-mass systems to that of a plate with concentrated masses which vary with the vibrating frequency ; 2) application of the Receptance method to the reduced governing equation in order to obtain the solution for the governing equation by using the solution of a simple orthotropic plate with neither spring nor mass ; and 3) estimation of the natural frequency of the plate with attached spring-mass systems by substituting the above solution into the iterative formula proposed previously by the author. This approach can be applicable to an orthotropic plate with an arbitrary shape and boundary condition. As numerical examples, the approach is applied to three kinds of clamped orthotropic rectangular plates ; 1) with a spring support, 2) with a concentrated mass, or 3) with a spring-mass system. Thus natural frequency and mode shape are obtained for some flexural rigidities and aspect ratios.
1987-12-25