Dynamic Behavior of Bernoulli-Euler Beam with Elastically Supported Boundary Conditions under Moving Distributed Masses and Resting on Constant Foundation
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 4, Issue 4
Abstract
The dynamic behavior of uniform Bernoulli-Euler beam with elastically supported boundary conditions under moving distributed masses and resting on constant foundation is investigated in this research work. The governing equation is a fourth order partial differential equation with variable and singular co-efficients. In order to solve this equation, the method of Galerkin is used to reduce the governing differential equation to a sequence of coupled second order ordinary differential equation which is then simplified by applying the modified asymptotic method of Struble. The simplified equation is solved using the Laplace transform technique. The analysis of the closed form solution in this research work shows the conditions for resonance as well as the effects of beam parameters for moving force system only. The results in plotted graphs show that as the axial force, foundation modulus and shear modulus increase, the transverse deflection of the uniform Bernoulli-Euler beam with elastically supported boundary conditions decreases.
Authors and Affiliations
Adeoye Adebola Samuel, Akintomide Adeniyi
Keywords
Related Articles
- EP ID EP338485
- DOI 10.9734/ARJOM/2017/33156
- Views 71
- Downloads 0
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...
The Length-Biased Weighted Erlang Distribution
We introduce and study a new continuous model so called, the length-biased weighted Erlang (LBWE) distribution. Some mathematical properties of the new distribution such as, raw and incomplete moments, generating functio...
Diffusion-thermo and Thermo-diffusion Effects on MHD Fluid Flow over Non-linearly Stretching Sheet through a Non-Darcy Porous Medium
In this paper, we discuss Diffusion-thermo and Thermo-diffusion effects on MHD free convective incompressible, Newtonian fluid flow over non linearly stretching sheet with radiation and chemical reaction, through a non-D...
Bayesian the Kalman Type Recursive Formulae
In this paper, the Kalman filter for a variance term of state space models is derived. First, it is assumed that the innovation term of state space model have a GARCH structure and the Kalman filter is derived. Then, it...
Investor’s Power Utility Optimization with Consumption, Tax, Dividend and Transaction Cost under Constant Elasticity of Variance Model
This work considered an investor’s portfolio where consumption, taxes, transaction costs and dividends are in involved, under constant elasticity of variance (CEV). The stock price is assumed to be governed by a constant...