Nonlinear Vibration of a Cantilever Beam Subjected to Electromagnetic Forces

전자력을 받는 외팔보의 비선형진동

  • 최연선 (성균관대학교 기계공학부) ;
  • 서경석 (성균관대학교 대학원 기계공학과) ;
  • 우영주 (성균관대학교 대학원 기계공학과)
  • Published : 2003.01.01


This study presents nonlinear vibration of a cantilever beam subjected to electromagnetic forces. The dynamic responses of the beam show various nonlinear phenomena with the variation of the system parameters, such as the jump phenomenon, multiple solutions, and the movement of the natural frequency. In this study the nonlinear stiffness due to electromagnetic forces which depends on air gap size is measured experimentally, and the system is modeled by a single degree of freedom nonlinear dynamic system and solutions are solved numerically. The numerical results show good agreements with the experimental results, which demonstrate the nonlinearity of electromagnetic force. Finally the occurrences of the jump phenomenon and the first, second and fourth harmonic components are confirmed in using the method of multiple scales.


Nonlinear Vibration;Electromagnetic Force;Cantilever Beam;Jump Phenomenon;Air Gap


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