2-D finite element analysis of a compressible dynamic viscoelastic cylinder using FFT
| Autor: | K. E. Barrett, A. C. Gotts |
|---|---|
| Rok vydání: | 2002 |
| Předmět: |
Laplace transform
Applied Mathematics Mathematical analysis Fast Fourier transform General Engineering Inverse Laplace transform Finite element method symbols.namesake Fourier transform Computational Theory and Mathematics Modeling and Simulation Laplace transform applied to differential equations symbols Two-sided Laplace transform Boundary value problem Software Mathematics |
| Zdroj: | Communications in Numerical Methods in Engineering. 18:729-742 |
| ISSN: | 1069-8299 |
| Popis: | An extension to a two-dimensional compressible dynamic viscoelastic cylinder problem using the finite element method in the Laplace domain coupled with fast Fourier transform is performed. The governing viscoelastic equations of motion are transformed into the Laplace domain via the elastic–viscoelastic correspondence principle. Real and imaginary parts of the nodal displacements are obtained by solving a non-symmetric matrix equation in the complex Laplace domain. Inversion into the time domain is performed using the discrete inverse Fourier transform. Problems involving both pressure and displacement boundary conditions are analysed using the proposed method. In the case of a quasi-static cylinder problem, numerical solutions are compared to both the exact Laplace and time domain solutions. Copyright © 2002 John Wiley & Sons, Ltd. |
| Databáze: | OpenAIRE |
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