BIFURCATION OF NONLINEAR NORMAL MODES BY MEANS OF SYNGE'S STABILITY

被引：0
作者：
Lee, Young S. [1 ]
Chen, Heng [1 ]
机构：
[1] New Mexico State Univ, Dept Mech & Aerosp Engn, Las Cruces, NM 88003 USA
来源：
PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE 2011, VOL 1, PTS A AND B: 23RD BIENNIAL CONFERENCE ON MECHANICAL VIBRATION AND NOISE | 2012年
关键词：
TARGETED ENERGY TRANSFERS; COUPLED OSCILLATORS; RESONANCE CAPTURES; LINEAR-OSCILLATOR; PART II; EFFICIENCY; DYNAMICS; SYSTEM;
D O I：
暂无
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
We study bifurcation of fundamental nonlinear normal modes (FNNMs) in 2-degree-of-freedom coupled oscillators by utilizing geometric mechanics approach based on Synges concept, which dictates orbital stability rather than Lyapunovs classical asymptotic stability. Use of harmonic balance method provides reasonably accurate approximation for NNMs over wide range of energy; and Floquet theory incorporated into Synges stability analysis predicts the respective bifurcation points as well as their types. Constructing NNMs in the frequency-energy domain, we seek applications to study of efficient targeted energy transfers.
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页码：647 / 653
页数：7
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