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
Related Articles
- EP ID EP338355
- DOI 10.9734/ARJOM/2017/31271
- Views 90
- Downloads 0
Convergence and Stability of Split-Step Milstein Schemes for Stochastic Di erential Equations
In this paper, the mean square convergence and stability of the split-step theta-Milstein schemes for stochastic differential equations are discussed. First, it is shown that these methods are mean square convergent with...
Five Points Mono Hybrid Point Linear Multistep Method for Solving Nth Order Ordinary Differential Equations Using Power Series Function
In this paper, a class of five point’s mono hybrid linear multistep method for solving nth order ordinary differential equations has been developed. In the derivation, Power series approximation was used as basic functi...
Radiation Effect with Eckert Number and Forchimer Number on Heat and Mass Transfer over an Inclined Plate in the Influence of Suction/Injection Flow
In the present context, the effect of Eckert number and Forchimer number on a two dimensional steady free convective heat and mass transfer flow of an electrically conducting fluid through a porous medium with radiation...
On Caristi-Type Fixed Point Theorem in Cone Metric Space and Application
The aim of this paper is to generalize Caristi's fixed point theorem. For that we extend the Szaz maximum principle in normed space and, we introduce a new class of functions which generalize the notion of dominated func...
Epidemic Model Formulation, Analysis and Simulation of Rotavirus Diarrhea for Prevention
Aims: Practical employment of epidemic models for rotavirus diarrhea is the aim of the study so that prevention is attained more swiftly thus reducing global disease burdens, mortality rates and financial burdens due to...