Eigenvalues of membranes having skew and rhombic geometry using discrete singular convolution algorithm

Civalek O.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, vol.14, no.11, pp.4003-4009, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 11
  • Publication Date: 2009
  • Doi Number: 10.1016/j.cnsns.2008.08.010
  • Journal Name: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.4003-4009
  • Keywords: Discrete singular convolution, Skew membrane, Rhombic membrane, Vibration, FREE-VIBRATION ANALYSIS, NONHOMOGENEOUS RECTANGULAR MEMBRANES, CONTINUOUSLY VARYING DENSITY, DYNAMIC INFLUENCE FUNCTION, FINITE-ELEMENT-METHOD, FOURIER P-ELEMENT, ANNULAR MEMBRANES, INTERNAL SUPPORTS, AXISYMMETRICAL VIBRATIONS, TRANSVERSE VIBRATIONS
  • Akdeniz University Affiliated: Yes

Abstract

Free vibration analysis of skew and rhombic membranes is presented. In the proposed approach, irregular physical domain is transformed into a rectangular domain by using geometric coordinate transformation. Four-node element is used for geometric mapping. For demonstration of the accuracy and convergence of the method, some numerical examples are provided. The results obtained by the DSC method are compared with those obtained by other numerical and analytical methods. (C) 2008 Elsevier B.V. All rights reserved.