Dynamic analysis of a composite beam subjected to a moving load

Abstract

In this article, the dynamic analysis of an infinite Timoshenko beam made of a laminated composite located on a generalized Pasternak viscoelastic foundation is studied. The beam is subjected to a moving concentrated load. It is assumed that the mechanical properties of the beam change in the direction of the beam thickness but remain constant in the axial direction. Closed-form steady-state solutions, based on the first-order shear deformation theory, are developed. By selection of an appropriate displacement field for the composite beam, and using the principle of total minimum potential energy, the governing partial differential equations of motion are obtained and solved through a complex infinite Fourier transformation method. The results are introduced in terms of deflection, bending moment, shear force, and stress. In addition, the effects of stiffness, shear layer viscosity coefficients of foundation, velocity of the moving load, number of layers, and various angles of layers over the beam response are studied. For some specific cases, the results are compared with those presented in some other published papers, with which good agreements are observed.

Vibration of Timoshenko beam on hysteretically damped elastic foundation subjected to moving load

“…The beam-foundation system can be used as an idealization of the interaction of rail tracks and subsoil or pavements and subgrades, wherein the rail track or pavement is simplified as a Euler-Bernoulli (EB) [1][2][3][4][5][6][7][8][9][10][11], Rayleigh [12], shear [13], Timoshenko [14][15][16][17], or laminated composite beam [18,19]; and the subsoil or subgrade is idealized as a Winkler [7,10], Kelvin [1- 6,8,9,[11][12][13][14][15][16], or Pasternak foundation [17][18][19]. This topic has attracted increasing attention because super-high-speed and super-high-capacity vehicles nowadays are being widely adopted as mass transportation carriers in many countries [6].…”

“…Ahmadian et al [18] recently studied the vibration of a laminated composite beam on a Pasternak foundation subjected to a moving 2-DOF oscillator wherein the couplings of bending-tension, shear-tension, and bending-twist with the Poisson effect were considered. Rezvani and Kargarnovin et al [19,21] investigated the vibration of a Timoshenko beam made of a cross-ply laminated composite on a Pasternak foundation under a concentrated load.…”

Dynamic analysis of composite beam subjected to harmonic moving load based on the third-order shear deformation theory

“…By using Hamilton principle and employing the Timoshenko beam theory, one can obtain the differential equations of the motion as in Ref. [7] b ∂ ∂x …”

“…[7]. In order to reproduce the FSDT in our analysis, the displacement field for the cross ply laminated composite beams should be formulated according to the FSDT.…”

“…The dynamic analysis of cross-ply laminated composite beams on the generalized Pasternaktype viscoelastic foundation subjected to a moving concentrated load is carried out in Ref. [7]. In this work, the steady-state response of the beam is obtained according to the first-order shear deformation theory (FSDT).…”