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LUO Guan-wei, XIE Jian-hua. STABILITY AND GLOBAL BIFURCATIONS OF PERIODIC MOTIONS OF A VIBRO-IMPACT FORMING MACHINE WITH DOUBLE MASSES[J]. Engineering Mechanics, 2004, 21(1): 118-124.
Citation: LUO Guan-wei, XIE Jian-hua. STABILITY AND GLOBAL BIFURCATIONS OF PERIODIC MOTIONS OF A VIBRO-IMPACT FORMING MACHINE WITH DOUBLE MASSES[J]. Engineering Mechanics, 2004, 21(1): 118-124.
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STABILITY AND GLOBAL BIFURCATIONS OF PERIODIC MOTIONS OF A VIBRO-IMPACT FORMING MACHINE WITH DOUBLE MASSES

  • Department of Mechanical Engineering, Lanzhou Railway Institute, Lanzhou, 730070, China;2. Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chengdu, 610031, China

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  • Received Date: July 26, 2002
  • Revised Date: February 17, 2003
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  • A vibro-impact forming machine with double masses and a harmonic excitation is studied based on the Poincaré mapping in this paper. Stability and local bifurcations of single-impact motion of period n are analyzed using bifurcation theory of mapping. Global bifurcation of single-impact motion of period n and transition to chaos are investigated by numerical simulations. The influences of system parameters on single impact period-one motion, single impact subharmonic motion and chaos are discussed. It is found that the stability and global bifurcations of the vibro-impact forming machine have important significance in optimization design and noise suppression of the machine.
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