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Vibration analysis of flexible beam under the action of multi-moving masses with variable speeds

Xiaobing Zhang

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Abstract

The vibration response of flexible beam under the action of coupled multi-moving-masses with variable speeds was studied.Based on the vibration theory of flexible beam,the vibration model of the multi-moving masses-flexible-beam system was established.The interaction among the moving masses and the coupling effect between the motions of moving masses were considered in the model and the vibration of the flexible beam was analysed.The numerical simulation was conducted by using the solving method of time-variant mechanical system.The results show that the vibration response of the flexible beam is different under different forms of relative motions among the moving masses,and the coupling effect among moving masses enhance the vibration response of the flexible beam.

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The vibration response of flexible beam under the action of coupled multi-moving-masses with variable speeds was studied.Based on the vibration theory of flexible beam,the vibration model of the multi-moving masses-flexible-beam system was established.The interaction among the moving masses and the coupling effect between the motions of moving masses were considered in the model and the vibration of the flexible beam was analysed.The numerical simulation was conducted by using the solving method of time-variant mechanical system.The results show that the vibration response of the flexible beam is different under different forms of relative motions among the moving masses,and the coupling effect among moving masses enhance the vibration response of the flexible beam.

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Available abstract

The vibration response of flexible beam under the action of coupled multi-moving-masses with variable speeds was studied.Based on the vibration theory of flexible beam,the vibration model of the multi-moving masses-flexible-beam system was established.The interaction among the moving masses and the coupling effect between the motions of moving masses were considered in the model and the vibration of the flexible beam was analysed.The numerical simulation was conducted by using the solving method of time-variant mechanical system.The results show that the vibration response of the flexible beam is different under different forms of relative motions among the moving masses,and the coupling effect among moving masses enhance the vibration response of the flexible beam.

Key concepts: Vibration, Beam (structure), Moving load, Coupling (piping), Action (physics), Physics, Structural engineering, Mechanics

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