JSME international journal. Ser. 3, Vibration, control engineering, engineering for industry
Print ISSN : 0914-8825
Free Vibration of a Spinning Polar Orthotropic Shallow Spherical Shell
Yukinori KOBAYASHIGen YAMADA
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1991 Volume 34 Issue 2 Pages 233-238

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Abstract

An analysis is presented for the free vibration of a spinning polar orthotropic shallow spherical shell. The governing equations and the boundary conditions of the shell are derived by applying Hamilton's principle to the strain and kinetic energies of the shell. The variables in the equations of motion can be expressed as a sum of the quasi-static components and of the dynamic components. The linear equations for the vibration about the deformed state are solved by using the transfer matrix method. Applying the method to a spinning clamped-free shallow spherical shell, the eigenvalues of vibration are calculated numerically, and the effects of the spinning velocity and the orthotropy of the shell on the free vibration are studied.

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© The Japan Society of Mechanical Engineers
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