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Structural Engineering and Mechanics Volume 19, Number 5, March30 2005 , pages 535-550 DOI: https://doi.org/10.12989/sem.2005.19.5.535 |
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HDQ-FD integrated methodology for nonlinear static and dynamic response of doubly curved shallow shells |
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Omer Civalek and Mehmet Ulker
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| Abstract | ||
| The non-linear static and dynamic response of doubly curved thin isotropic shells has been studied for the step and sinusoidal loadings. Dynamic analogues Von Karman-Donnel type shell equations are used. Clamped immovable and simply supported immovable boundary conditions are considered. The governing nonlinear partial differential equations of the shell are discretized in space and time domains using the harmonic differential quadrature (HDQ) and finite differences (FD) methods, respectively. The accuracy of the proposed HDQ-FD coupled methodology is demonstrated by the numerical examples. Numerical examples demonstrate the satisfactory accuracy, efficiency and versatility of the presented approach. | ||
| Key Words | ||
| non-linear dynamic analysis; doubly curved shells; harmonic differential quadrature; coupled methodology. | ||
| Address | ||
| Omer Civalek; Akdeniz University, Engineering Faculty, Civil Engineering Department, Division of Mechanics, 07200, Topcular, Antalya, Turkey Mehmet Ulker; Firat University, Engineering Faculty, Civil Engineering Department, Division of Mechanics, Elazig, Turkey | ||