Development of Fourier-p shape functions for vibration of plates

Author(s)
Author(s)
Lim, C. W.
Date Issued
2001
Related Publication(s)
Proceedings of the Third International Symposium on Vibrations of Continuous Systems (ISCVS)
Start page
47
End page
48
Abstract
A new approach is presented to incorporate the commonly well-behaved Fourier series with polynomials in representing the shape functions for vibration of plates using the Ritz Method. It significantly improves (i) accuracy and (ii) convergence of the common Ritz method using polynomials as shape functions. As polynomials tends to induce numerical instability, ill-conditioning and insolvability, the development of this Fourier-p Ritz approach helps to resolve these problems. Exhausting numerical computation can also be alleviated.
URI
SFU Affiliated Publication
No
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