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Vibration analysis of toroidal panels using the differential quadrature method
Authors:D Redekop  B Xu
Affiliation:Department of Mechanical Engineering, University of Ottawa, Ottawa, Canada KIN 6N5
Abstract:The free vibration characteristics of linear elastic toroidal shell panels are determined. A solution based on the Mushtari–Vlasov–Donnell shell equations is developed using the Differential Quadrature Method. The work represents the first application of this method to problems in shell theory with variable coefficients in the governing equations. Numerical results are calculated using the method, and these are compared with results found using a Fourier series and a finite element solution.
Keywords:Vibrations  Toroidal shell  Differential quadrature method  Finite element method
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