Bifurcation tracking by Harmonic Balance Method for performance tuning of nonlinear dynamical systems

详细信息    查看全文

• 作者：L. Xie^a ; ^b ; S. Baguet^a ; ^{sebastien.baguet@insa-lyon.fr} ; B. Prabel^b ; ^c ; R. Dufour^a
• 关键词：Harmonic balance method ; Periodic solutions ; Quasiperiodic solutions ; Continuation ; Bifurcation tracking ; Limit point ; Neimark-Sacker bifurcation ; Floquet exponents ; Nonlinear energy sink ; Jeffcott rotor
• 刊名：Mechanical Systems and Signal Processing
• 出版年：2017
• 出版时间：1 May 2017
• 年：2017
• 卷：88
• 期：Complete
• 页码：445-461
• 全文大小：1313 K
• 卷排序：88

文摘

A frequency domain method for bifurcation analysis of nonlinear dynamical systems is developed. The proposed method consists in directly tracking the bifurcation points when a system parameter is varied. The method is based on extended systems, Harmonic Balance Method and arc-length continuation. An original extended system for the detection and tracking of Neimark-Sacker (secondary Hopf) bifurcations is introduced. With only one computation a map showing the stability boundaries and changes of dynamical regime is obtained.