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Structural Engineering and Mechanics Volume 32, Number 5, July30 2009 , pages 621-634 DOI: https://doi.org/10.12989/sem.2009.32.5.621 |
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Free vibration of circular and annular membranes with varying density by the method of discrete singular convolution |
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Hakan Ersoy, Lutfiye Ozpolat and Omer Civalek
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| Abstract | ||
| A numerical method is developed to investigate the effects of some geometric parameters and density variation on frequency characteristics of the circular and annular membranes with varying density. The discrete singular convolution method based on regularized Shannon\'s delta kernel is applied to obtain the frequency parameter. The obtained results have been compared with the analytical and numerical results of other researchers, which showed well agreement. | ||
| Key Words | ||
| discrete singular convolution; circular membrane; annular membrane; non-homogeneous density. | ||
| Address | ||
| Hakan Ersoy: Akdeniz University, Faculty of Engineering, Mechanical Engineering Department, Division of Mechanics, Antalya, Turkey Lutfiye Ozpolat and Omer Civalek: Akdeniz University, Faculty of Engineering, Civil Engineering Department, Division of Mechanics, Antalya, Turkey | ||