• CN: 11-2187/TH
  • ISSN: 0577-6686

›› 2010, Vol. 46 ›› Issue (1): 86-91.

• Article • Previous Articles     Next Articles

Analysis of Harmonic Oscillation Synchronization for the Single-mass Nonlinear System under Harmonic Wave Sharp Resonance Condition

LI Xiaohao;LIU Jie;LIU Jintao   

  1. School of Mechanical Engineering and Automation, Northeastern University
  • Published:2010-01-05

Abstract: Based on the dynamic model of single mass nonlinear system, the necessary conditions of harmonic oscillation synchronization motion are deduced, under harmonic wave sharp resonance (main resonant frequency ratio ) condition and dual vibration exciters rotating in opposite direction are moving at the balance singular point. Using the numerical simulation, the valid of the harmonic oscillation synchronization conditions are investigated under different initial conditions. The process of theoretical derivation, consequence of simulation tests and actual tests data indicate that if the systemic characteristic parameter remain constant, the vibration synchronization phenomena of single-mass nonlinear system under harmonic wave sharp resonance condition have direct relationship with the harmonic wave sharp resonance order p/q, and harmonic oscillation synchronization order n/m. But the harmonic oscillation synchronization phenomena of the dual vibration exciters only occur at a certain radio of p/q and n/m which conform to the specific mechanical characteristic conditions of nonlinear system. And they also indicate that the realization of system main resonance synchronization is far easier than system harmonic oscillation synchronization. This research provides theoretical support and test basis for further exploitation of efficient and energy-saving nonlinear sharp resonance shaker.

Key words: Harmonic oscillation synchronization, Harmonic wave sharp resonance, Nonlinear, Single-mass

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