Influence of Rotatory Inertial Correction Factor on the Vibration of Elastically Supported Non-Uniform Rayleigh Beam on Variable Foundation
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 2, Issue 4
Abstract
The in uence of rotatory inertial correction factor on the vibration of elastically supported nonuniform Rayleigh beam under moving distributed masses and resting on variable bi-parametric elastic foundation is investigated. The governing equation is a fourth order partial di erential equation with variable and singular co-ecients. In order to solve this equation, the method of Galerkin is used to reduce the governing di erential equation to a sequence of coupled second order ordinary di erential equation which is then simpli ed with modi ed asymptotic method of Struble. The simpli ed equation is solved using the integral transformation technique. The analysis of the closed form solution shows that resonance is attained earlier in moving mass system than in the moving force system. The results in plotted graphs show that as the rotatory inertia, foundation modulus and shear modulus increase, the de ection of the elastically supported non-uniform Rayleigh beam decreases in each case. The transverse de ections of the elastically supported beam on variable bi parametric elastic foundation are higher under the action of moving masses than those when only the force e ects of the moving load are considered. This implies that resonance is reached faster in moving mass problem than in moving force problem.
Authors and Affiliations
Adeoye Adebola Samuel, Awodola Thomas Olubunmi
Keywords
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- EP ID EP338355
- DOI 10.9734/ARJOM/2017/31271
- Views 70
- Downloads 0
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