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

作者：Permoon M R; Rashidinia J; Parsa A; Haddadpour H^*; Salehi R

来源：Journal of Mechanical Science and Technology, 2016, 30(7): 3001-3008.

DOI：10.1007/s12206-016-0306-3

• Fractional viscoelastic beam
• Fractional derivative
• Galerkin procedure
• Radial basis function
• Sinc method

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.

• 出版日期2016-7