Application of complex normal form method in analysing strongly nonlinear vibration systems with three degrees of freedom

Wan Hao-chuan;Zhang Qi-chang;Wang Wei

Journal of Vibration and Shock ›› 2010, Vol. 29 ›› Issue (8) : 189-194.

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PDF(800 KB)
Journal of Vibration and Shock ›› 2010, Vol. 29 ›› Issue (8) : 189-194.
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Application of complex normal form method in analysing strongly nonlinear vibration systems with three degrees of freedom

  • Wan Hao-chuan1;Zhang Qi-chang2;Wang Wei2
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Abstract

The advanced conventional normal form method has only been used thus far in one or two dimensional systems and not yet in the study of multi-degree of freedom systems.In the paper, the normal form theory was extented to multi-degrees of freedom systems. The stable asymptotic solutions and limit cycles of strongly nonlinear oscillation systems with three-degrees of freedom and uncoupled in linear parts were investigated. The results testify the validity of the refined theory, which coincide with the solutions of numerical integration better than those of the initial normal form approach.

Key words

complex normal form method / multi-degrees of freedom / strongly nonlinear oscillation / asymptotic solution

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Wan Hao-chuan;Zhang Qi-chang;Wang Wei. Application of complex normal form method in analysing strongly nonlinear vibration systems with three degrees of freedom[J]. Journal of Vibration and Shock, 2010, 29(8): 189-194
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