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| Free vibration analysis of spherical caps by the pseudospectral method
Jinhee Lee
The Journal of Mechanical Science and Technology, vol. 23, no. 1, pp.221-228, 2009
Abstract : The pseudospectral method is applied to the axisymmetric and asymmetric free vibration analysis of spherical caps.
The displacements and the rotations are expressed by Chebyshev polynomials and Fourier series, and the collocated
equations of motion are obtained in terms of the circumferential wave number. Numerical examples are provided for
clamped, hinged and free boundary conditions. The results show good agreement with those of existing literature.
Keyword : Chebyshev polynomials; Free vibration; Pseudospectral method; Spherical shell |
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