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DYNAMIC CHARACTERISTICS OF A ROTATING TIMOSHENKO BEAM SUBJECTED TO A VARIABLE MAGNITUDE LOAD TRAVELLING AT VARYING SPEED

  • OMOLOFE, BABATOPE (DEPARTMENT OF MATHEMATICAL SCIENCES, SCHOOL OF SCIENCES, FEDERAL UNIVERSITY OF TECHNOLOGY) ;
  • OGUNYEBI, SEGUN NATHANIEL (DEPARTMENT OF MATHEMATICAL SCIENCES, FACULTY OF SCIENCES, EKITI STATE UNIVERSITY)
  • Received : 2015.01.21
  • Accepted : 2015.09.03
  • Published : 2016.03.25

Abstract

In this study, the dynamic behaviour of a rotating Timoshenko beam when under the actions of a variable magnitude load moving at non-uniform speed is carried out. The effect of cross-sectional dimension and damping on the flexural motions of the elastic beam was neglected. The coupled second order partial differential equations incorporating the effects of rotary and gyroscopic moment describing the motions of the beam was scrutinized in order to obtain the expression for the dynamic deflection and rotation of the vibrating system using an elegant technique called Galerkin's Method. Analyses of the solutions obtained were carried out and various results were displayed in plotted curve. It was found that the response amplitude of the simply supported beam increases with an increase in the value of the foundation reaction modulus. Effects of other vital structural parameters were also established.

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Cited by

  1. Dynamic Response of Uniform Rayleigh Beams on Variable Bi-parametric Elastic Foundation under Partially Distributed Loads vol.11, pp.4, 2018, https://doi.org/10.3923/ajaps.2018.199.212
  2. Flexural Motions of Non-uniform Beams Resting on Exponentially Decaying Foundation vol.11, pp.4, 2018, https://doi.org/10.3923/ajaps.2018.213.220