The Influence of the Cross-Coupling Effects on the Dynamics of Rotor/Stator Rubbing

Shang, Zhiyong; Hong, Li

doi:10.1007/978-1-4419-5754-2_11

Cited by 3 publications

(9 citation statements)

References 16 publications

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“…To solve the explicit form of the synchronous full annular rub solution from the nonlinear equation of (2) with Y=1, an equivalent form of the resultant contact force should be adopted as done in [21], which is in the form…”

Section: Boundaries Of Synchronous Full Annular Rubmentioning

confidence: 99%

“…where A and g(x,s) are the coefficient matrix and the nonlinear vector (see [21]). After linearizing Eq.…”

Section: Boundaries Of Synchronous Full Annular Rubmentioning

confidence: 99%

“…Using the Floquet theory, the stability of the synchronous full annular rub solution can be determined through the examination of the sign of the real parts of the Floquet exponents, which is governed by the following eigenvalue problem with [J n ] is given in [21]:…”

Section: Boundaries Of Synchronous Full Annular Rubmentioning

confidence: 99%

“…Now substituting the above expression of O into(20) and(21) and setting the coefficients of terms with exp(jo 0 T 0 ) on the right-hand side to zero in order to eliminate the secular terms. By separating the real and the imaginary parts of the obtained equations, we geta 0 r ¼ c 1 ðz r þ mo w Þa r þc 1 c 2 a s sinðy r Ày s Àa 1 Àa 4 Þþc 1 c 2 c 3 sinðsT 1 þ a 1 þa 2 Àyr Þ a r y 0 r ¼ c 1 ðmz r Ào w Þa r þc 1 c 2 a s cosðy r Ày s Àa 1 Àa 4 ÞÀc 1 c 2 c 3 cosðsT 1 þ a 1 þ a 2 Ày r Þ a 0 s ¼ c 4 ðz s þmM sr o w Þa s Àc 4 c 5 a r sinðy r Ày s þ a 3 þ a 4 ÞÀc 4 c 5 c 3 sinðsT 1 þ a 2 þa 3 Ày s Þ a s y 0 s ¼ c 4 ðmz s ÀM sr o w Þa s þ c 4 c 5 a r cosðy r Ày s þ a 3 þ a 4 Þþc 4 c 5 c 3 cosðsT 1 þa 2 þ a 3 Ày s Þ (22)…”

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The global responses characteristics of a rotor/stator rubbing system with dry friction effects

Shang

Hong

2011

Journal of Sound and Vibration

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Rotor/stator rubbing systems may undertake a number of quite different responses. Recent experiments on rotor/stator rubbing have revealed that two or three different responses may coexist. In this paper the global response characteristics of a general rotor/stator rubbing system, which takes into account the dominant factors in the process of rotor/stator rubbing, especially, the dry friction effect that is mostly neglected in the previous works and is the main factor for the self-excited dry friction backward whirl, are studied. The different solutions of the piecewise nonlinear system are derived and their stability are analyzed to get the existence boundaries of the different responses. An overall picture of the global response characteristics of this model is then obtained by drawing the existence boundaries in a same parameter space. The present results provide good understanding on the coexistence of different rubbing responses observed in tests. Moreover, deeper insight into the types of coexistence of different rubbing responses and their relationship with the system parameters is gained.

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Section: Boundaries Of Synchronous Full Annular Rubmentioning

confidence: 99%

“…where A and g(x,s) are the coefficient matrix and the nonlinear vector (see [21]). After linearizing Eq.…”

Section: Boundaries Of Synchronous Full Annular Rubmentioning

confidence: 99%

Section: Boundaries Of Synchronous Full Annular Rubmentioning

confidence: 99%

mentioning

confidence: 99%

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The global responses characteristics of a rotor/stator rubbing system with dry friction effects

Shang

Hong

2011

Journal of Sound and Vibration

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“…Jiang and Ulbrich [36] investigated the stability of the elastic rotor-to-stator contact system and derived the effect of friction, system damping (either rotor or stator, or both) as well as mass ratio and stiffness ratio of the rotor and stator on the motion's stability. Shang et al [37] studied the influence of the cross-coupling stiffness effect on the stability of synchronous forward rub. The elastic rotor-to-stator model was also widely used in rotor-auxiliary bearing interaction system.…”

Section: Introductionmentioning

confidence: 99%

Bifurcation on synchronous full annular rub of rigid-rotor elastic-support system

Zhang

Chen

2012

Appl. Math. Mech.-Engl. Ed.

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An aero-engine rotor system is simplified as an unsymmetrical-rigid-rotor with nonlinear-elastic-support based on its characteristics. Governing equations of the rubbing system, obtained from the Lagrange equation, are solved by the averaging method to find the bifurcation equations. Then, according to the two-dimensional constraint bifurcation theory, transition sets and bifurcation diagrams of the system with and without rubbing are given to study the influence of system eccentricity and damping on the bifurcation behaviors, respectively. Finally, according to the Lyapunov stability theory, the stability region of the steady-state rubbing solution, the boundary of static bifurcation, and the Hopf bifurcation are determined to discuss the influence of system parameters on the evolution of system motion. The results may provide some references for the designer in aero rotor systems.

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Nonlinear vibration response of a helicopter supercritical tail rotor drive shaft equipped with a dry friction damper

Song

Chen

et al. 2022

JIMSE

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PurposeThe supercritical design of tail rotor drive shaft has attracted more attention in helicopter design due to its high power–weight ratio and low maintenance cost. However, there exists excessive vibration when the shaft passes through the critical frequency. Dry friction damper is the equipment applied to the drive shaft to suppress the excessive vibration. In order to figure out the damping mechanism of the dry friction damper and improve the damping efficiency, the dynamic model of the shaft/damper system is established based on the Jeffcott rotor model.Design/methodology/approachThe typical frequency response of the system is studied through bifurcation diagrams, amplitude-frequency characteristic curves and waterfall frequency response spectrum. The typical transient responses under frequency sweeps are also obtained.FindingsThe results show that the response of the system changes from periodic no-rub motion to quasi-periodic rub-impact motion, and then to synchronous full annular rub-impact, and finally, back to periodic no-rub motion. The slip of the rub-impact ring improves the stability of the system. Besides, the effects of the system parameters including critical dry friction force, rub-impact friction coefficient, initial clearance on the stability and the vibration damping capacity are studied. It is observed that the stability changes significantly varying the three parameters respectively. The vibration damping capacity is mainly affected by the critical dry friction force and the initial clearance.Originality/valuePresented results provide guidance for the design of the dry friction damper.

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The Influence of the Cross-Coupling Effects on the Dynamics of Rotor/Stator Rubbing

Cited by 3 publications

References 16 publications

The global responses characteristics of a rotor/stator rubbing system with dry friction effects

The global responses characteristics of a rotor/stator rubbing system with dry friction effects

Bifurcation on synchronous full annular rub of rigid-rotor elastic-support system

Nonlinear vibration response of a helicopter supercritical tail rotor drive shaft equipped with a dry friction damper

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