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Structural Engineering and Mechanics Volume 36, Number 3, October20 2010 , pages 279-299 DOI: https://doi.org/10.12989/sem.2010.36.3.279 |
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Vibration analysis of plates with curvilinear quadrilateral domains by discrete singular convolution method |
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Omer Civalek and Baki Ozturk
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| Abstract | ||
| A methodology on application of the discrete singular convolution (DSC) technique to the free vibration analysis of thin plates with curvilinear quadrilateral platforms is developed. In the proposed approach, irregular physical domain is transformed into a rectangular domain by using geometric coordinate transformation. The DSC procedures are then applied to discretization of the transformed set of governing equations and boundary conditions. For demonstration of the accuracy and convergence of the method, some numerical examples are provided on plates with different geometry such as elliptic, trapezoidal having straight and parabolic sides, sectorial, annular sectorial, and plates with four curved edges. The results obtained by the DSC method are compared with those obtained by other numerical and analytical methods. The method is suitable for the problem considered due to its generality, simplicity, and potential for further development. | ||
| Key Words | ||
| discrete singular convolution; natural frequency; plates; numerical models; curvilinear domain. | ||
| Address | ||
| Omer Civalek: Akdeniz University, Faculty of Engineering, Civil Engineering Department, Division of Mechanics, Antalya, Turkiye Baki Ozturk: Nigde University, Faculty of Engineering, Civil Engineering Department, Division of Mechanics, Ni de, Turkiye | ||