Free vibration of circular and annular membranes with varying density by the method of discrete singular convolution
STRUCTURAL ENGINEERING AND MECHANICS, vol.32, no.5, pp.621-634, 2009 (SCI-Expanded)
- Publication Type: Article / Article
- Volume: 32 Issue: 5
- Publication Date: 2009
- Doi Number: 10.12989/sem.2009.32.5.621
- Journal Name: STRUCTURAL ENGINEERING AND MECHANICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.621-634
- Keywords: discrete singular convolution, circular membrane, annular membrane, non-homogeneous density, DIFFERENTIAL QUADRATURE METHOD, NONHOMOGENEOUS RECTANGULAR MEMBRANES, DYNAMIC INFLUENCE FUNCTION, FINITE-ELEMENT-METHOD, FOURIER P-ELEMENT, MINDLIN PLATES, INTERNAL SUPPORTS, SECTOR PLATES, AXISYMMETRICAL VIBRATIONS, TRANSVERSE VIBRATIONS
- Akdeniz University Affiliated: Yes
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.