mode-locking, quasi-period and chaos of rotors mounted on nonlinear bearings

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2000
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Abstract
This study is to investigate the dynamics of a rotor, with a single degree of freedom (SDOF), mounted on nonlinear bearings. This system has piecewise-linear stiffness and is subjected to a forcing excitation due to residual mass imbalance as well as a parametric one due to an axial periodic thrust. The frequencies for each individual parametric and forcing excitations are not equivalent, neither do they have a ratio of two simple integers. By using the fourthorder Runge–Kutta method a J-integral model, this strongly nonlinear system can be estimated for various parameters. The J-integral bifurcation can be analyzed by using the Poincaré maps, the frequency spectra, the response waveforms, and the Lyapunov exponents in order to illustrate the jump phenomenon, the frequency-locking, and the routes to chaos. Furthermore, the intra-systematic relationship can be determined by the frequencies of spontaneous sidebanding clusters.
Reference Key
chang2000internationalmode-locking, Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Yeon-Pun Chang;Shoou-Chian Jen;Shun-Hsu Tu;Shyh-Shyong Shyr;Yuan Kang
Journal ACS omega
Year 2000
DOI
10.1155/S1023621X0000018X
URL
http://dx.doi.org/10.1155/S1023621X0000018X
Keywords
engineering (general) civil engineering (general)

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