解析解による直交異方性板の曲げ振動解析(機械力学,計測,自動制御)

概要

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This paper deals with analysis of bending vibrations of orthotropic plates by use of analytic solutions. The governing equation of orthotropic plate vibration cannot be expressed briefly in the polar coordinates. Therefore the Bessel functions and the modified Bessel functions are not available. The solutions used in this paper are exponential functions that express plane waves traveling in every direction on the plates. This kind of solution can be obtained always in spite of existence of anisotropy. The collocation method is used to satisfy approximately boundary conditions. Natural frequencies are calculated by the method of bi-section. Stability of numerical process in which plane wave functions are used is rather less than that in which the Bessel function are used. Accordingly, it is necessary to select correct results. However, the method can be used to save time of calculating and of preparing.
一般社団法人日本機械学会の論文
2004-06-25