Multiple Resonance and Stability of a Motor-elastic Linkage Mechanism System

IntroductionThe use of high-speed,light-weight mechanic trans mi-ssion systems in modernindustries under the requirement ofprecise positioning has increased interest in the researchesinto dynamics and stability of mechanic trans missionsystems . As a result , there are a significant number ofstudies on dynamics and stability of mechanis m and manyuseful conclusions have been obtained1 3]. But the effectsof drive motors on the dynamic characters of mechanis mswere not discussed in these studie…

Multiple Resonance and Stability of a Motor-elastic Linkage Mechanism System

The dynamics of a three-phase AC motor-elastic linkage mechanism system is considered. Taking the drive motor and the linkage mechanism as an integrated system, the coupling dynamic equations of the system are established by the finite element method. The multiple resonance and its stability of the system are studied using the method of multiple scales. The first order approximate solutions of the multiple resonance of the system are obtained. An algorithm for determining the stability of resonance is derived. The studies show that the multiple resonance and its stability of the system are not only related to the structure parameters of the linkage mechanism, but also to the electromagnetism parameters of the motor. At last, an experiment is given to verify the results of the theoretical analysis.