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QUASI-PERIODIC AND CHAOTIC BEHAVIOUR OF A TWO-DEGREE-OF-FREEDOM IMPACT SYSTEM IN A STRONG RESONANCE CASE 被引量:5

QUASI-PERIODIC AND CHAOTIC BEHAVIOUR OF A TWO-DEGREE-OF-FREEDOM IMPACT SYSTEM IN A STRONG RESONANCE CASE
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摘要 A two-degree-of-freedom system contacting a single stop isconsidered. Quasi-periodic and chaotic behavior of the system in astrong resonance case is investigated by theoretical analysis andnumerical simulation. A two-degree-of-freedom system contacting a single stop isconsidered. Quasi-periodic and chaotic behavior of the system in astrong resonance case is investigated by theoretical analysis andnumerical simulation.
出处 《Acta Mechanica Solida Sinica》 SCIE EI 1999年第3期279-282,共4页 固体力学学报(英文版)
基金 the National Natural Science Foundation of China(19672052)
关键词 VIBRO-IMPACT strong resonance BIFURCATION vibro-impact strong resonance bifurcation
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  • 1谢建华.一类碰撞振动系统的余维二分叉和Hopf分叉[J].应用数学和力学,1996,17(1):63-73. 被引量:39
  • 2程崇庆.共振情况下非自治系统的Hopf分支[J].中国科学(A辑),1989,20(10):1046-1055. 被引量:4
  • 3胡海岩.力学系统混沌的主动控制[J].力学进展,1996,26(4):453-463. 被引量:32
  • 4[3]Luo Guanwei,Xie Jianhua, J.H. Xie. Hopf Bifurcation of A Two-Degree-of-Freedom Vibro-Impact System[J]. Journal of Sound and Vibration, 1998, 213(3): 391-408 .
  • 5[5]Ivanov A P. Stabilization of an impact oscillator near grazing incidence owing to resonance[J].Journal of Sound and Vibration,1993, 162(3): 562-565.
  • 6[6]Hu H Y. Detection of grazing orbits and incident bifurcations of a forced continuous, piecewise-linear oscillator [J]. Journal of Sound and Vibration, 1994, 187(3): 485-493.
  • 7Holmes P J. The dynamics of repeated impacts with a sinusoidally vibrating table[J]. Journal of Sound and Vibration, 1982,84(2): 173-189.
  • 8Ivanov A P. Stabilization of an impact oscillator near grazing incidence owing to resonance[J]. Journal of Sound and Vibration, 1993,162 (3): 562-565.
  • 9Nordmark A B. Non-periodic motion caused by grazing incidence in an impact oscillator[J]. Journal of Sound and Vibration, 1991,145 (2): 279-297.
  • 10Luo G W, Xie J H. Hopf bifurcations of a twodegree-of-freedom vibro-impact system[J]. Journal of Sound and Vibration, 1998,213(3) : 391-480.

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