Stability Analysis of Rotor-Bearing Systems Using Component Mode Synthesis

Glasgow, D. A.; Nelson, H. D.

doi:10.1115/1.3254751

Cited by 59 publications

(44 citation statements)

References 6 publications

(8 reference statements)

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“…As previously mentioned, the methods used for rotor dynamic systems are native to both controls and structural reduction. From an extensive survey of the literature, the most common methods used for structural reduction of rotor systems appear to be Guyan Reduction [38,58], Modal Analysis [39,[59][60][61][62][63] and Component Mode Synthesis [20,40,43,[64][65][66]. More specifically research on reduction methods, not necessarily applied to rotor systems, looks to handle damping [59,65,[67][68][69] and gyroscopics [63,[70][71][72] within the systems but rarely together.…”

Section: Applications Of Model Reduction For Rotor Dynamicmentioning

confidence: 99%

Model Reduction Methods for Rotor Dynamic Analysis: A Survey and Review

Wagner

Younan

Allaire

et al. 2010

International Journal of Rotating Machinery

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The focus of this literature survey and review is model reduction methods and their application to rotor dynamic systems. Rotor dynamic systems require careful consideration in their dynamic models as they include unsymmetric stiffness, localized nonproportional damping, and frequency-dependent gyroscopic effects. The literature reviewed originates from both controls and mechanical systems analysis and has been previously applied to rotor systems. This survey discusses the previous literature reviews on model reduction, reduction methods applied to rotor systems, the current state of these reduction methods in rotor dynamics, and the ability of the literature to reduce the complexities of large order rotor dynamic systems but allow accurate solutions.

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Section: Applications Of Model Reduction For Rotor Dynamicmentioning

confidence: 99%

Model Reduction Methods for Rotor Dynamic Analysis: A Survey and Review

Wagner

Younan

Allaire

et al. 2010

International Journal of Rotating Machinery

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“…(A1) is simplified as follows: Our proposed solver requires a small model with several numbers of degrees of freedom. For the system reduction (7)(8)(9)(10) of Eq. (A2), the mode synthesis method is thus recommended.…”

Section: Appendix 1 Reduced Model For Rotor-bearing System (8)mentioning

confidence: 99%

1D and 2D Tracking Solvers for Solving Algebraic Equations Based upon Sliding Mode Control

Matsushita

Fujiwara

2008

JEE

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Though various types of eigenvalue solvers for rotordynamics exist, they only provide solutions for specific parameters, e.g., for several selected rotational speeds. Since these solutions are discrete, it is occasionally difficult for us to make continuous transitions depending on the changes in parameters. Our tracking solver is capable of providing the continuous behaviour of the solution caused by a varying parameter. Letting the parameter be the time t, the solution is obtained as a time function λ(t) of a state variable λ which is regulated by the sliding mode control so as to be placed on an unknown exact path of ( , ) 0 f t λ = . Once the state variable starts from an exact initial value, the state variable consistently indicates exact values thereafter. The principle of this tracking solver is extended to a 2D orbital tracking solver for ( , ) 0 f x y = . To demonstrate the effectiveness of this method, we selected several case studies; complex eigenvalue analysis, algebraic equations with exponential functions, a critical speed map, 2D drawing of resonance curves.

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“…However, the problem can be quite complicated when nonlinear forces are considered. The problem of nonlinear response of rotor systems are discussed in the extensive investigations of references [7][8][9][10][11][12][13][14][15]. Glasgow D. A.…”

Section: Introductionmentioning

confidence: 99%

“…Glasgow D. A. [8] employed the fixed interface modal synthesis method to reduce the size of the rotor system to obtain better computational efficiency. In reference [11,12], nonlinear response of a dual-rotor system with intermediate bearing was studied with transfer matrix method.…”

Section: Introductionmentioning

confidence: 99%

Research on modeling and dynamic characteristics of complex coaxial rotor system

Wang¹,

Luo²,

Yang³

et al. 2017

J. vibroeng.

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Abstract. To make up deficiency of the finite element method in predicting nonlinear dynamic characteristics of coaxial rotor systems, nonlinear dynamic model of a coaxial rotor system was established with a method combining the finite element method and the fixed interface modal synthesis method. Then an implicit time domain method was presented to solve the nonlinear equations of motion thus dynamic characteristics of the rotor system can be obtained. The computational efficiency of this method largely depends on the number of degrees of freedom with nonlinear forces acting on. With nonlinear forces of squeeze film damper and intermediate bearing considered, nonlinear dynamic response characteristics of the coaxial rotor system under multiple unbalance forces were studied in this work. The results showed that the unbalance excitation frequencies are dominant in the responses of the rotor system. Besides, due to coupling effect of the intermediate bearing some combinations of the unbalance excitation frequencies were also observed in the spectrogram. Stability and periodicity of the rotor system was investigated with bifurcation diagram, Poincare map and phase diagram. It was found that the rotor system executes multiple periods orbital motion under relatively low rotational speeds. With the increasing of rotational speed, the rotor system would execute quasi-periodic motion, chaotic motion and periodic motion again. The quasi-periodic motion and chaotic motion are closely related with the SFD. Finally, under relatively low speed, the nonlinear model was validated by comparing the simulation results with the experimental data. The proposed modeling and solving method is expected to provide theoretical and engineering basis for improving prediction of nonlinear dynamic characteristics of complex rotor systems.

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Stability Analysis of Rotor-Bearing Systems Using Component Mode Synthesis

Cited by 59 publications

References 6 publications

Model Reduction Methods for Rotor Dynamic Analysis: A Survey and Review

Model Reduction Methods for Rotor Dynamic Analysis: A Survey and Review

1D and 2D Tracking Solvers for Solving Algebraic Equations Based upon Sliding Mode Control

Research on modeling and dynamic characteristics of complex coaxial rotor system

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