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 240
- Downloads 0
A Study on Interleave Division Multiple Access
As wireless broadband communication has been experiencing a tremendous growth in past few year, the demands for various new & advanced multiple access techniques is increasing consistently. We can experience many new mul...
Ethnomedicine, Health Food and Nutraceuticals-Traditional Wisdom of Maternal and Child Health in India
Food and medicine are indispensable companions of humans since the very beginning of his existence. The early man explored his surroundings to locate materials of natural origin for food and medicine. He continued his se...
Automated Solar Powered Street Lighting System with Super Capacitors
The researchers came up to conduct a study in creating a street lighting system powered up by solar panels that sustains its own power as a stand-alone system off the grid line. By analyzing the collected data regarding...
Seismic Structural Analysis of the Alam-El Bueib Formation, Qasr Oil Field, North Western desert, Egypt
The Qasr oil and gas Field is located in the north western desert of Egypt. It belongs to the southeastern part of the Lower Jurassic-Cretaceous Shushan Basin. The Lower Cretaceous Alam-El Bueib formation composed of cla...
Automated Student Attendance System using Fingerprint Recognition
The project work aims at designing a student attendance system which could effectively manage attendance of students of the department of Computer Science and Engineering at Jatiya Kabi Kazi Nazrul Islam University. In t...