TRANSVERSE RESPONSE OF AN ELASTICALLY RESTRAINED END DOUBLE-BEAM SYSTEM DUE TO A CONCENTRATED MOVING MASS

F. A. Hammed; M. A. Usman; S. A. Onitilo; D. A. Abraham

F. A. Hammed Department of Mathematical Sciences, Olabisi Onabanjo University, Ago Iwoye
M. A. Usman Department of Mathematical Sciences, Olabisi Onabanjo University, Ago Iwoye
S. A. Onitilo Department of Mathematical Sciences, Olabisi Onabanjo University, Ago Iwoye
D. A. Abraham

Keywords: Transverse response, Moving mass, Euler-Bernoulli beam, Viscoelastic Winkler-type layer, Dynamic deflection

Abstract

In this paper, transverse response of a double beam system traversed by a concentrated moving mass is investigated. The system, which is elastically restrained at both ends, consists of two identical homogeneous parallel Euler-Bernoulli beams and are continuously interconnected with a viscoelastic Winkler-type layer. Of particular interest, is the effect of the moving load on the dynamic response of the system. The solution scheme deployed involves, using series variable separable method, modified Struble’s method and differential transformation method (DTM). For the purpose of demonstrating the simplicity and efficiency of the technique, numerical examples are explored. The dynamic deflections of the beams are presented graphically and are found comparable with the existing results for the case of a moving force. The effect of various values of the mass of the moving load on the dynamic response of the beam are presented and discussed. The effects of the speed of the moving load, viscoelastic parameter and stiffness parameters are also examined.