2016
DOI: 10.1016/j.mechmachtheory.2016.07.026
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Dynamic stability and nonlinear vibration analysis of a rotor system with flexible/rigid blades

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Cited by 24 publications
(4 citation statements)
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“…Recently, multiple-scale analysis was used for vibration analysis of piezoelectrically actuated microbeam with nonideal boundary conditions [9] or for nonlinear vibration analysis of mechanical systems with multiple joint clearances [10], in which a sliding pendulum is subjected to analysis. In [11], the method of multiple scales serves for primary resonance analysis of dynamic stability and nonlinear vibrations in a rotor system both with flexible and rigid blades. Stability and bifurcation analysis for the Kaldor-Kalecki model of business cycle with a discrete delay and a distributed delay is studied in [12], where the method is used for finding the explicit formulae determining the direction of Hopf bifurcation and the stability of bifurcating periodic solutions.…”
Section: Multiple-scale Analysismentioning
confidence: 99%
“…Recently, multiple-scale analysis was used for vibration analysis of piezoelectrically actuated microbeam with nonideal boundary conditions [9] or for nonlinear vibration analysis of mechanical systems with multiple joint clearances [10], in which a sliding pendulum is subjected to analysis. In [11], the method of multiple scales serves for primary resonance analysis of dynamic stability and nonlinear vibrations in a rotor system both with flexible and rigid blades. Stability and bifurcation analysis for the Kaldor-Kalecki model of business cycle with a discrete delay and a distributed delay is studied in [12], where the method is used for finding the explicit formulae determining the direction of Hopf bifurcation and the stability of bifurcating periodic solutions.…”
Section: Multiple-scale Analysismentioning
confidence: 99%
“…Bab, Khadem, Abbasi and Shahgholi. [33] investigated dynamic stability and nonlinear vibration analysis of a rotor system with flexible/rigid blades. They improved the method using numerical method.…”
Section: Introductionmentioning
confidence: 99%
“…Qiao and Zhu studied the unbalanced vibration of the grinding wheel and provided a theoretical basis for dynamic balance [7]. Bab et al studied the influence of mass eccentricity and surrounding medium damping on the steady-state response of the system [8]. Yue et al found that mass eccentricity can increase the rotor vibration and weaken the influence of unbalanced magnetic pull and make the vibration tend to be regular [9].…”
Section: Introductionmentioning
confidence: 99%