DAMPING EFFECTS ON THE DYNAMIC BEHAVIOUR OF BEAM-TYPE STRUCTURE WITH CLASSICAL BOUNDARY CONDITIONS UNDER MOVING DISTRIBUTED LOAD

• Dr. Kayode S. Famuagun

  Adeyemi Federal University of Education Ondo

• Prof. Tunbosun S. Oni

  Federal University of Technology, Akure

This paper investigates damping effects on the dynamic behaviour of beam-type structure with classical boundary conditions. It is an extension of the work of Famuagun (2023). The problem is governed by a fifth order Partial Differential Equation which is reduced to second order, coupled ordinary differential equations through the finite generalized integral transform method. The analytical solution procedures involved Heaviside function expansion, a modified Struble asymptotic technique, and Laplace transformation. Numerical computations depict that both damping coefficients incorporated into the governing system, significantly reducing the displacement amplitude of the beam. However, damping due to resistance to transverse displacement possesses stronger effects compared to damping due to strain velocity. In addition, resonance is observed to occur earlier in moving mass case than in moving force case. Finally, the results illustrate the importance of damping parameters in influencing vibration of structural systems.

1. Dr. Kayode S. Famuagun, Adeyemi Federal University of Education Ondo

   Department of Mathematics

   Adeyemi Federal University of Education, Ondo

    

2. Prof. Tunbosun S. Oni, Federal University of Technology, Akure

   Department of Mathematical Sciences,

   Federal University of Technology, Akure

   Professor of Analytical Dynamic (Solid)

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