Dynamic Response to Moving Distributed Masses of Pre-stressed Uniform Rayleigh Beam Resting on Variable Elastic Pasternak Foundation
Journal Title: Edelweiss Applied Science and Technology - Year 2018, Vol 2, Issue 1
Abstract
The dynamic response to moving distributed masses of pre-stressed uniform Rayleigh beam resting on variable elastic Pasternak foundation is examined. The equation governing this problem is a fourth order partial differential equation with variable and singular co-efficients. To solve this cumbersome equation, the method of Galerkin approach is adopted to reduce the governing differential equation to a sequence of coupled second order ordinary differential equation which is then simplified further with modified asymptotic method of Struble. The more simplified equation is solved using the Laplace transformation technique. The closed form solutions obtained are analyzed in order to show the conditions of resonance, and to show that resonance is attained earlier in moving mass system than in the moving force system. The results in plotted graphs show that as the axial force, the rotatory inertia, foundation modulus and shear modulus increase, the deflection of the elastically supported non-uniform Rayleigh beam decreases in each case. The transverse deflections of the beam on variable Pasternak elastic foundation are higher under the action of moving masses than those when only the force effects 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 AS
Keywords
Related Articles
- EP ID EP398813
- DOI -
- Views 234
- Downloads 0
Ozone Layer Depletion and Climate Change in Nigeria: Problems and Prospects-A Review
Nigerians are facing a serious global environmental problem and there is a widespread concern that the ozone layer which is bringing out terrible deterioration thus contributes to climatic change and global warming. This...
One to Many: A Framework for Scaling Risk Mitigation Assurance
The lack of vulnerability control leads to organizational harm in global businesses when the exploitation of a weakness occurs. How can a global supply chain protect itself from vulnerabilities that can damage their bran...
Electrochemical Approach in Description of a Nerve Impulse
Nerve impulse has been simulated as an ion–acoustic breather containing the internal FPU recurrence spectrum. The strong electrolyte of intracellular fluid is interpreted as dense plasma where electroacoustic solitons ca...
Unique Case of Alpha 1-Antitrypsin Deficiency Causing Decreased Protein-C and S Activity Leading to DVT and Pulmonary Embolism
Although alpha-1 antitrypsin deficiency (AATD) is generally considered to be rare, estimates that 80,000 to 100,000 individuals in the United States have severe deficiency of AAT suggest that the disease is under-recogni...
Ecologically Sustainable Development (ESD) Useful Australian Land Use Practice-Suitable for the World
Protection of the Environment and Sustainability goes hand in hand as one mechanism compliments the other. On the other hand, Sustainable Economic Growth can only be achieved if it is linked to Ecologically Sustainable D...