Vibration analysis of plates with curvilinear quadrilateral domains by discrete singular convolution method


CİVALEK Ö., Ozturk B.

STRUCTURAL ENGINEERING AND MECHANICS, vol.36, no.3, pp.279-299, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 3
  • Publication Date: 2010
  • Doi Number: 10.12989/sem.2010.36.3.279
  • Journal Name: STRUCTURAL ENGINEERING AND MECHANICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.279-299
  • Keywords: discrete singular convolution, natural frequency, plates, numerical models, curvilinear domain, DIFFERENTIAL QUADRATURE METHOD, RAYLEIGH-RITZ METHOD, MODAL STRESS RESULTANTS, ANNULAR SECTOR PLATES, TRANSVERSE VIBRATION, RECTANGULAR-PLATES, ORTHOGONAL POLYNOMIALS, TRAPEZOIDAL PLATES, FLEXURAL VIBRATION, INTERNAL SUPPORTS
  • Hacettepe University Affiliated: No

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 lour 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.