Nonlinear Dynamics

, Volume 92, Issue 2, pp 645–657 | Cite as

Effect of two moving non-ideal sources on the dynamic of a rectangular plate

  • A. A. Nanha Djanan
  • B. R. Nana Nbendjo
Original Paper


The dynamic behavior of a rectangular plate excited by two accelerated unbalanced DC machines moving along a rectangular plate in opposite direction is explored. Both motors are considered as non-ideal oscillators and act as external excitation on a specific straight lines of the plate. The effects of the moving acceleration of both motors and their initial moving velocities on the plate deflection are investigated. The impact of the way of crossing of the motors on the plate amplitude is also analyzed, and it is showed that the physical characteristics of the motors contribute to the reduction in the plate vibration. The analytical approach used leads to some mathematical expressions, which leads us to some predictions on vibration amplitude in the system. It follows that the reduction in amplitude of vibration depends on the characteristics of the DC motors.


Plate DC motors Non-ideal excitation Moving loads Acceleration Plate vibrations 



The authors would like to acknowledge AGNES (African-German Network of Excellence in Science) for the award/support accorded during this work.


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© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes and TWAS Research Unit, Faculty of SciencesUniversity of Yaounde IYaoundéCameroon

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