DYNAMIC BEHAVIOUR OF UNIFORM BERNOULLI-EULER BEAM RESTING ON BI-PARAMETRIC FOUNDATIONS AND SUBJECTED TO DISTRIBUTED MOVING LOAD WITH DAMPING EFFECT
A. JIMOH
Department of Mathematical Sciences, Kogi State University, Anyigba, Nigeria.
E. O. AJOGE *
Centre for Energy Research and Development, Obafemi Awolowo University, Ile-lfe, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we employed a procedure involving integral transformation and convolution theory to investigate the dynamic behavior of uniform Bernoulli-Euler beam resting on bi-parametric foundations and subjected to a uniform distributed moving load with the damping term taking into consideration. The relationship between the foundation reaction and the lateral deflection together with the assumed function of the distributed moving loads were imposed on the governing equation of motion to form a fourth order partial differential equation describing the modeled equation of motion. Effects of damping and some other parameters on the dynamDamping effectic behavior of this vibrating system are investigated. The results are represented graphically and discussed.
Keywords: Damping effect, structural parameters, uniform beam, bi-parametric foundation, distributed moving load.