Abstract
The paper investigates the response of non-initially stressed Euler-Bernoulli beam to uniform partially distributed moving loads. The governing partial differential equations were analyzed for both moving force and moving mass problem in order to determine the behaviour of the system under consideration. The analytical method in terms of series solution and numerical method were used for the governing equation. The effect of various beam observed that the response amplitude due to the moving force is greater than that due to moving mass. It was also found that the response amplitude of the moving force problem with non-initial stress increase as mass of the mass of the load M increases.
Highlights
In the recent years all branches of transport have experienced great advances characterized by increasing higher speeds and weight of vehicles
The paper investigates the response of non-initially stressed Euler-Bernoulli beam to uniform partially distributed moving loads
The structures on which these moving loads are usually modeled are by elastic beams, plates or shells
Summary
In the recent years all branches of transport have experienced great advances characterized by increasing higher speeds and weight of vehicles. A supported to a constant moving force at uniform speed was considered by Krylov [4] who used the method of expansion of the associated Eigen modes He assumed the mass of the load to be smaller than that of the beam. Esmailzadeh and Gorashi [9] worked on the vibration analysis of beams traversed by uniform partially distributed moving masses using analytical-numerical method They discovered that the inertia effect of the distributed moving mass is of importance in the dynamic behaviour of the structure. 1) To present the analysis of the dynamic response of a non-initially stressed finite elastic Euler-Bernoulli beam with an attached mass at the end x = L, but arbitrary supported at the end x = 0, to uniform partially distributed moving load. 2) To present a very simple and practical analyticalnumerical technique for determine the response of beams with non-classical boundary conditions carrying mass
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