Dynamics of a Nonlinear Electromagnetic System

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概要

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• An experiment with a test rig consisting of a symmetric rotor suspended by a spring device and excited by a series of nonlinear electromagnetic forces has been performed by Chang and Tung [Sound & Vib. 214 (1998) 853], to investigate the effects of an electromagnet processing highly nonlinear characteristics on general mechanical systems. A nonlinear mathematical model has been obtained by applying a modified conventional identification technique based on the principle of harmonic balance. In this study, analytical work is carried out on this identified nonlinear model by applying the first-harmonic approximation solution and the Floquet theory. The resulting criteria for bifurcations can be used to evaluate the operational range of a system employing such a nonlinear actuator. We also employ the method of Lyapunov exponents to show the occurrence of chaotic motion and to verify the above analyses. A comparison of the analytical results with those of the experimemt shows that the identified nonlinear model obtained from the experiment can predict and characterize the dynamics of a real electromagnetic system.

• 社団法人応用物理学会の論文
• 1999-04-15

著者

• Tung Pi-cheng

  Department Of Mech. Engineering National Central University

• Tung Pi-cheng

  Department Of Mechanical Enginerring National Central University

• Chang S‐c

  Da‐yeh Univ. Chang‐hwa Twn

• Chang Shun-chang

  Department Of Mechanical Engineering National Central University

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