A reduction method for problems of vibration of orthotropic plates |
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Authors: | T. Sakata |
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Affiliation: | Department of Mechanical Engineering, Chubu Institute of Technology, Kasugai, Nagoya-sub., Japan, 487 |
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Abstract: | It is shown that the problem of vibration of an orthotropic plate can be reduced to that of another orthotropic plate by a simple co-ordinate transformation, and reduction formulae are obtained. To justify the reduction formulae, fundamental natural frequencies of orthotropic rectangular plates with various boundary conditions and of a clamped orthotropic elliptical plate are discussed. As an example, an exact natural frequency of a simply supported generally orthotropic skew plate with special flexural rigidities is obtained from that of a simply supported isotropic rectangular plate. |
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