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Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (9): 837-845.

• 论文 • 上一篇    下一篇

LOCAL BIFURCATION ANALYSIS OF STRONGLY NONLINEAR DUFFING SYSTEM

毕勤胜, 陈予恕, 吴志强   

  1. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China
  • 出版日期:1996-09-18 发布日期:1996-09-18
  • 基金资助:
    Project supported by National Natural Science Foundation and Doctor Point Foundation of China

LOCAL BIFURCATION ANALYSIS OF STRONGLY NONLINEAR DUFFING SYSTEM

Bi Qinsheng, Chen Yushu, Wu Zhiqiang   

  1. Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China
  • Online:1996-09-18 Published:1996-09-18
  • Supported by:
    Project supported by National Natural Science Foundation and Doctor Point Foundation of China

摘要： By using coordinate and nearly,identical transformations.the strongly nonlinearDuffing system is reduced to normalform in this paper.and then the bifurcation equations with different resonant conditions and their solutions are obtained.The localbifurcation diagrams and the transition sets on unfolding parmeter and physical parameter plane are analysized by singularity theory.

Abstract: By using coordinate and nearly,identical transformations.the strongly nonlinearDuffing system is reduced to normalform in this paper.and then the bifurcation equations with different resonant conditions and their solutions are obtained.The localbifurcation diagrams and the transition sets on unfolding parmeter and physical parameter plane are analysized by singularity theory.

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