Saturday, 5 December 2015

Dynamic analyses of a flat plate and a beam subjected to a moving load

Abstract The objective of this paper is to investigate the dynamic characteristics of a flat plate and a beam subjected to a moving load with the effects of inertia force, Coriolis force and centrifugal force considered. To this end, the theory of moving mass element for plate and that for beam are presented, where the property matrices of the last elements are derived based on the superposition principle and the definition of shape functions. It is found that the order of the property matrices of the moving mass element for plate is , while that for beam is . Combination of the property matrices of the moving mass element and the overall property matrices of the plate (or beam) itself gives the overall property matrices of the entire structural system. Because the property matrices of the moving mass element have close relationship with the instantaneous position of the moving load, they are time-variant and so are the overall property matrices of the entire structural system. For validation, the vibration characteristics of the rectangular plate due to a moving load are compared with those of the beam, with its sizes being the same as those of the plate, due to the same loading conditions and satisfactory agreement is achieved. Some factors closely relating to the title problem, such as the moving-load speed, acceleration, inertia force, Coriolis force and centrifugal force, are investigated. Numerical results reveal that all the above-mentioned parameters affecting the dynamic responses of the plate to some degree.

Keywords Dynamic responses, Plate, Beam, Moving mass element, Moving load.

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Dynamic analyses of a flat plate and a beam subjected to a moving load

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