Loading...

Application of radial basis functions and sinc method for solving the forced vibration of fractional viscoelastic beam

Permoon, M. R ; Sharif University of Technology | 2016

951 Viewed
  1. Type of Document: Article
  2. DOI: 10.1007/s12206-016-0306-3
  3. Publisher: Korean Society of Mechanical Engineers , 2016
  4. Abstract:
  5. In this paper, the forced vibrations of the fractional viscoelastic beam with the Kelvin-Voigt fractional order constitutive relationship is studied. The equation of motion is derived from Newton’s second law and the Galerkin method is used to discretize the equation of motion in to a set of linear ordinary differential equations. For solving the discretized equations, the radial basis functions and Sinc quadrature rule are used. In order to show the effectiveness and accuracy of this method, some test problem are considered, and it is shown that the obtained results are in very good agreement with exact solution. In the following, the proposed numerical solution is applied to exploring the effects of fractional parameters on the response of the beam and finally some conclusions are outlined. © 2016, The Korean Society of Mechanical Engineers and Springer-Verlag Berlin Heidelberg
  6. Keywords:
  7. Fractional derivative ; Fractional viscoelastic beam ; Galerkin procedure ; Radial basis function ; Sinc method ; Differential equations ; Functions ; Galerkin methods ; Heat conduction ; Image segmentation ; Ordinary differential equations ; Radial basis function networks ; Viscoelasticity ; Constitutive relationships ; Discretized equations ; Fractional derivatives ; Fractional parameters ; Linear ordinary differential equations ; Radial basis functions ; Viscoelastic beams ; Equations of motion
  8. Source: Journal of Mechanical Science and Technology ; Volume 30, Issue 7 , 2016 , Pages 3001-3008 ; 1738494X (ISSN)
  9. URL: https://link.springer.com/article/10.1007%2Fs12206-016-0306-3