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VIBRATION ANALYSIS OF A BEAM CARRYING A MOVING MASS

Rabindra Kumar Behera, Dayal Ramakrushna Parhi

Open publisher page 1 citations

Abstract

This paper deals with the linear dynamic response of a cracked cantilever beam subjected to a moving mass. The velocity of the moving mass is assumed to be constant. The present analysis in its general form may well be applied to beams with various boundary conditions. Results from the numerical solutions of the differential equations of motion are shown graphically. Moreover, when considering the maximum deflection for the end point of the beam, the critical speeds of the moving mass have been evaluated. Experiments have been conducted to compare with the numerical results. It is observed that the experimental results are in good agreement with the numerical one.

About this research paper

What this paper is about

This paper deals with the linear dynamic response of a cracked cantilever beam subjected to a moving mass. The velocity of the moving mass is assumed to be constant. The present analysis in its general form may well be applied to beams with various boundary conditions. Results from the numerical solutions of the differential equations of motion are shown graphically. Moreover, when considering the maximum deflection for the end point of the beam, the critical speeds of the moving mass have been evaluated. Experiments have been conducted to compare with the numerical results. It is observed that the experimental results are in good agreement with the numerical one.

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Available abstract

This paper deals with the linear dynamic response of a cracked cantilever beam subjected to a moving mass. The velocity of the moving mass is assumed to be constant. The present analysis in its general form may well be applied to beams with various boundary conditions. Results from the numerical solutions of the differential equations of motion are shown graphically. Moreover, when considering the maximum deflection for the end point of the beam, the critical speeds of the moving mass have been evaluated. Experiments have been conducted to compare with the numerical results. It is observed that the experimental results are in good agreement with the numerical one.

Key concepts: Moving load, Cantilever, Deflection (physics), Vibration, Beam (structure), Numerical analysis, Mechanics, Boundary value problem

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