Structural Engineering and Mechanics
Volume 32, Number 5, 2009, pages 621-634
DOI: 10.12989/sem.2009.32.5.621
Free vibration of circular and annular membranes with varying density by the method of discrete singular convolution
Hakan Ersoy, Lutfiye Ozpolat and Omer Civalek
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