Structural Engineering and Mechanics

  • 제40권3호
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  • Pages.335-346
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  • 2011
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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Bifurcations of non-semi-simple eigenvalues and the zero-order approximations of responses at critical points of Hopf bifurcation in nonlinear systems

  • Chen, Yu Dong (College of Mechanical Science and Engineering, Nanling Campus, Jilin University) ;
  • Pei, Chun Yan (College of Mechanical Science and Engineering, Nanling Campus, Jilin University) ;
  • Chen, Su Huan (College of Mechanical Science and Engineering, Nanling Campus, Jilin University)
  • 투고 : 2010.08.13
  • 심사 : 2011.08.17
  • 발행 : 2011.11.10
⟨ 이전 논문 다음 논문 ⟩

초록

This paper deals with the bifurcations of non-semi-simple eigenvalues at critical point of Hopf bifurcation to understand the dynamic behavior of the system. By using the Puiseux expansion, the expression of the bifurcation of non-semi-simple eigenvalues and the corresponding topological structure in the parameter space are obtained. The zero-order approximate solutions in the vicinity of the critical points at which the multiple Hopf bifurcation may occur are developed. A numerical example, the flutter problem of an airfoil in simplified model, is given to illustrate the application of the proposed method.

키워드

참고문헌

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