Teaching development of the nonlinear characteristics of forced vibration

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  • 1. Department of Physics,School of Mathematics and Physics,University of Science and Technology Beijing,Beijing 100083,China;2. Basic Experimental Center for Natural Science,University of Science and Technology Beijing,Beijing 100083,China

Received date: 2020-07-28

  Revised date: 2020-09-21

  Online published: 2021-02-22

Abstract

 Forced vibration is an important teaching content in both college physics and college physics experiments.In order to make students understand the nonlinear characteristics of the forced vibration more deeply,the nonlinear correction of the forced vibration equation is carried out based on the nonlinear factors and experimental data involved in the Pohl resonator,and the nonlinear characteristics are discussed by numerical analysis. By introducing the Duffing equation of hard spring type,the evolution of the system from periodic motion to chaotic state is discussed. The relatively stable equilibrium point in forced vibration is compared with the singular attractor to expand the teaching content of nonlinear vibration.

Cite this article

DING Hong-sheng, WANG Jia-xi, ZHANG Shi-ping, DONG Jun-jun . Teaching development of the nonlinear characteristics of forced vibration[J]. College Physics, 2021 , 40(2) : 12 -17 . DOI: 10.16854 /j.cnki.1000-0712.200335

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