关键词: 二维Fourier变换, 梁, 留数定理, 黏弹性地基, 移动载荷

Abstract: Dynamic response of Pasternak beams on viscoelastic foundations to a moving load is proposed by integral transformation in this paper. The Green’s function of the beam is obtained by means of two-dimensional Fourier transform. Deflection of the beam is represented using inverse Fourier transform. The theorem of residue is then applied to represent the generalized integral in the form of contour integral in the complex plane. Studies on the influence of parameters of beam and subgrade are provided with illustrations. It is clear that viscosity and shear modulus of subgrade have significant effect on the deflection of the beam. Numerical solution to the integral expression is studied with spline interpolation, showing that the obtained closed-form solution is correct.

Key words:  viscoelastic foundation, infinite beam, moving load, residue theorem, two-dimensional Fourier transform