Nonlinear dynamics analysis of a dual-rotor-bearing-casing system based on a modified HB-AFT method

Chen, Yi; Hou, Lei; Chen, Guo; Song, Heping; Lin, Rongzhou; Jin, Yuhong; Chen, Yushu

doi:10.1016/j.ymssp.2022.109805

Cited by 45 publications

(16 citation statements)

References 51 publications

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“…Considering that the IHB method cannot obtain the unstable periodic solution of the system, the arc-length continuation method can solve this problem [38,41].…”

Section: Methodology Formulationmentioning

confidence: 99%

“…Ju proposed an efficient Galerkin average incremental harmonic balance method [38] and proved the equivalence between the incremental harmonic balance method and Alternating Frequency/Time-Domain Methods [39]. Hou [40] used HB-AFT method to analyze the dual-rotor system with complex nonlinear intershaft bearing force; Chen [41] used the modified HB-AFT method to analyze the highdimensional dual-rotor-bearing-casing system, in which, the complex nonlinear factors of the inter-shaft bearing such as exponential nonlinear restoring force, radial clearance and varying stiffness excitation are taken into consideration. Their solution provides an idea for accurate analysis of nonlinear vibration isolation systems.…”

Section: Introductionmentioning

confidence: 99%

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Accurate nonlinear dynamic characteristics analysis of quasi-zero-stiffness vibration isolator via a modified incremental harmonic balance method

Meng

Hou

Lin

et al. 2023

Preprint

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Quasi-zero-stiffness (QZS) vibration isolator is widely used in low-frequency vibration isolation due to its high-static-low-dynamic-stiffness (HSLDS) characteristics. The complex nonlinear force of the QZS vibration isolator increases the difficulty of solving it while realizing the HSLDS characteristics. The typical analysis method is to use Taylor expansion to simplify the nonlinear force and make it approximate to polynomial form, which leads to inaccurate analysis results in the case of large excitation and small damping. Therefore, the modified incremental harmonic balance (IHB) method is used to directly analyze the dynamic characteristics of the QZS vibration isolator without simplification in this paper. The classical three-spring QZS vibration isolation model is used as the calculation example. The results are different from the previous approximate equation analysis results in three aspects: (1) There is no unbounded response of the system under displacement excitation; (2) Even harmonics and constant terms also exist in the response of the system and can lead to multiple solution intervals; (3) In the case of small damping and large excitation, both displacement excitation and force excitation have subharmonic resonance, reducing the vibration isolation performance of the system. In addition, the accuracy of the solution obtained by the IHB method is verified by the Runge-Kutta method. The accurate analysis method in this paper provides favorable theoretical support for the design and optimization of vibration isolators.

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“…Considering that the IHB method cannot obtain the unstable periodic solution of the system, the arc-length continuation method can solve this problem [38,41].…”

Section: Methodology Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Accurate nonlinear dynamic characteristics analysis of quasi-zero-stiffness vibration isolator via a modified incremental harmonic balance method

Meng

Hou

Lin

et al. 2023

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Herein, the fixed-interface component mode synthesis method as well as the trajectory tracing method (TTM) are first applied to establish the dynamic model of the ADFDs-dual rotor system. A sampling strategy similar to the one presented in [33] is proposed and the arclength continuation procedure is applied to solve the resultant nonlinear algebra equation. To intuitively show the influence of ADFDs on rotor responses, the frequency-domain sensitivity coefficients are derived analytically based on the TTM and local sensitivity analysis of rotor responses are performed based on those sensitivity coefficients.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of dual rotor system equipped with active friction dampers based on harmonic balance method and sensitivity analysis

Jiang,

Zhang,

Gao

et al. 2024

Preprint

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Numerical investigations are essential in appropriately determining normal forces for active dry friction dampers (ADFDs) within rotor systems, although existing methods suffer from the deficits of low-efficiency and over-simplifications. Within this paper, a harmonic-balance-based approach is proposed to efficiently obtain the responses of ADFDs-dual rotor system and a local sensitivity analysis is developed together with it to directly visualize the influences of ADFDs. The fixed-interface mode synthesis method and the trajectory tracing method are first utilized to reduce the system dimension. Then, a novel sampling strategy is proposed for the harmonic balance procedure to guarantee the orthogonality of Fourier basis. The resultant nonlinear equation is solved by the arclength continuation technique. To visually present the variation of rotor responses as the normal force of ADFD changes, a local sensitivity analysis method is developed together with the harmonic-balance-based solver. The frequency-domain sensitivity coefficients are derived analytically to facilitate computation of sensitivities. Numerical validations are carried to show the efficiency and accuracy of the developed method. The influences of ADFDs on rotor responses are discussed both numerically and experimentally. It is found that, due to the multiple excitations in dual rotor system, rotor whirl motions could exhibit the characteristics of multi-valued frequencies. The influences of ADFD on rotor responses are related to the rotational speeds, the ADFD normal forces and the ADFD installation positions. The developed method could intuitively show the influences of these factors on rotor vibration suppression, which provides an efficient tool for parameter optimization.

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“…By establishing a multi-degree-of-freedom coupled vibration model, the global behavior evolution process is studied by using the cell mapping method; Mohammadpour et al 6 and Alfares et al 7 studied the friction dynamics of the bearing of the truck, analyzed the vibration characteristics of the bearing under friction and thermal effects. Sivayogan et al 8 studied the stress change of the meshing gear of the racing car gearbox under lubrication conditions; Jin et al 9 and Chen et al 10 studied the vibration characteristics and steady-state conditions of the system through various methods to explore its nonlinear characteristics. In addition, the study of nonlinear characteristics of the rotor-bearing system considering oil film force has also become a key research direction in this field.…”

Section: Introductionmentioning

confidence: 99%

Research on nonlinear dynamics and primary resonance characteristics of electric drive gear transmission system for clean propulsion vehicles

Mo,

Liu,

Tang

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part K:

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To study the nonlinear dynamic characteristics of the electric drive transmission system of clean propulsion vehicles, a rotor-bearing system consisting of dual-stage meshing gear pairs and multiple loaded bearings was established. The influence of time-varying meshing stiffness, tooth side clearance, bearing clearance, and other factors were considered. A multi-degree of freedom vibration differential of the system was established equation, to analyze the vibration characteristics of various parts of the transmission system under different parameters. Using time-domain diagrams, poincaré cross-sections, bifurcation diagrams, and other images to study the vibration of gears. In addition, the primary resonance stability equation of the system is derived and its stability under different conditions is analyzed using meshing damping, stiffness, and load as variables. The results show that as the rotational speed increases, the first stage gear of the system undergoes the “single cycle-bifurcation-chaos-bifurcation-single cycle” vibration process, while the second stage gear undergoes two such processes. The instability intervals can be obtained as [3092,4859] and [8098,10896] r/min, [2797,3533] and [9423,14135] r/min respectively. Avoiding these speed ranges helps to improve the stability and safety of automotive motion.

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Nonlinear dynamics analysis of a dual-rotor-bearing-casing system based on a modified HB-AFT method

Cited by 45 publications

References 51 publications

Accurate nonlinear dynamic characteristics analysis of quasi-zero-stiffness vibration isolator via a modified incremental harmonic balance method

Accurate nonlinear dynamic characteristics analysis of quasi-zero-stiffness vibration isolator via a modified incremental harmonic balance method

Vibration analysis of dual rotor system equipped with active friction dampers based on harmonic balance method and sensitivity analysis

Research on nonlinear dynamics and primary resonance characteristics of electric drive gear transmission system for clean propulsion vehicles

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