Effect of multi-frequency parametric excitations on the dynamics of on-board rotor-bearing systems

Briend, Yvon; Dakel, M. Zaki; Châtelet, Éric; Andrianoely, Marie-Ange; Dufour, Régis; Baudin, Sophie

doi:10.1016/j.mechmachtheory.2019.103660

Cited by 47 publications

(27 citation statements)

References 34 publications

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“…Various criteria are used to analyse rotor stability, for example, Nguyen-Schäfer (2015) shows the use of the Routh-Hurwitz criteria on the Jeffcott rotor model for linear rotor dynamics or Hopf bifurcation theory for evaluating the stability of nonlinear rotor dynamics. Briend et al (2020) shows the use of Floquet theory to assess the stability of nonlinear rotor dynamics so he is able to describe stable and unstable areas.…”

Section: Review Of State Of the Art In Rotor Dynamics Modellingmentioning

confidence: 99%

“…Dakel et al (2012) described a dynamic rotor analysis with a kinematic excitation of a rigid support movement using a harmonic function, and in a further work by Dakel et al (2014), there is described nonlinear dynamics of a turbocharger rotor with the influence of various type of excitations. An interesting multi-frequency parametric excitation of the rotor mount is also presented by Briend et al (2020).…”

Section: Review Of State Of the Art In Rotor Dynamics Modellingmentioning

confidence: 99%

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Application of Multibody Dynamics Tools for Determination of Engine Excited Turbocharger Vibrations

Novotný¹,

Dlugoš²

2020

Engineering Mechanics 2020

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The problem of turbocharger rotor vibration is widely published in the world literature. However, areas requiring more detailed investigation are the vibration caused by the kinematic excitation of the turbocharger housing including the housing stiffness consideration. The aim of this paper is to analyse the vibration caused by the excitation from the internal combustion engine (ICE) and to present vibration on a key component of the turbocharger, which is a radial hydrodynamic bearing. Due to the nature of the problem, a multibody dynamics based tool is used, supplemented with sub-models of bearings. The non-linear model allows an effective solution of the vibration induced by the existence of rotor resonance states, rotor instabilities of the bearing or excitation from the ICE. The results presented on the radial bearing show that additional side frequency components and their orders appear in the frequency response spectrum. In the state of strong excitation, these frequency components can cause an increase in the acoustic emissions of the turbocharger as well as the entire powertrain.

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Section: Review Of State Of the Art In Rotor Dynamics Modellingmentioning

confidence: 99%

Section: Review Of State Of the Art In Rotor Dynamics Modellingmentioning

confidence: 99%

Application of Multibody Dynamics Tools for Determination of Engine Excited Turbocharger Vibrations

Novotný¹,

Dlugoš²

2020

Engineering Mechanics 2020

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“…On the other hand, considering different types of excitations, for example, direct/indirect excitation and auto-/ parametric excitation, the loads applied on structures are very complicated and always contain multifrequency harmonic forces. e rich and complex dynamics of nonlinear oscillations attracted the attention of the research community, leading to exploring the possibility of understanding dynamical behaviors in nonlinear systems subjected to multifrequency excitations [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39].…”

Section: Introductionmentioning

confidence: 99%

“…Based on recent experimental observations, an inclined marine riser may experience multifrequency vortex-induced vibrations, and Alfosail and Younis [29] investigated the nonlinear motions considering the internal resonances. Briend et al [30] analyzed the dynamics of an on-board rotor mounted on hydrodynamic finite-length bearings, excited by multifrequency parametric excitations induced by support motions. Ghadiri et al [31] presented a study on nonlinear vibrations of single-layer graphene sheets resting on a visco-Pasternak foundation subjected to multifrequency excitation and a thermomagnetic field.…”

Section: Introductionmentioning

confidence: 99%

Temperature Effects on Dynamic Properties of Suspended Cables Subjected to Dual Harmonic Excitations

Zhao

Zheng

Lin

et al. 2021

Shock and Vibration

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The paper aims at studying the influences of temperature on the suspended cables’ dynamical behaviors subjected to dual harmonic excitations in thermal environments. Significantly, the quadratic nonlinearity and the corresponding secondary resonances are considered. By introducing a tension variation factor, the nonlinear vibration equations of motion could be obtained based on the condensation model. By using Galerkin’s procedure, the continuous model of the nonlinear system is reduced to a set of infinite models with quadratic and cubic nonlinearities. By using the multiple scales method, the resultant reduced model is solved and the stability analysis is also presented in two simultaneous resonance cases. Nonlinear dynamical behaviors with thermal effects are presented using bifurcation diagrams, time-history curves, phase portraits, frequency spectrums, and Poincaré sections. The numerical results show that thermal effects induce different scenarios. The sensitivities of linear (natural frequency) and nonlinear (quadratic and cubic) coefficients to temperature variations are different. The temperature may increase or decrease the response amplitudes depending on the excitation amplitude and the sag-to-span ratio. The inflection point is shifted and exhibited at a smaller or larger excitation amplitude in thermal environments. The resonant range between two Pitchfork bifurcations seems to be reduced when the temperature is decreasing. The response amplitude is very sensitive to temperature, and even an opposite spring behavior may be exhibited due to warming/cooling conditions. However, the periodic motions seem independent of temperature variations.

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“…Briend et al. 13 developed the on-board rotor model by six degrees of freedom per node for 3D motions (transverse and axial displacements in addition to rotations due to bending and torsion). The effects of multifrequency parametric excitations due to support motions were discussed, yielding a dynamic instability.…”

Section: Introductionmentioning

confidence: 99%

Effect of flight/structural parameters and operating conditions on dynamic behavior of a squeeze-film damped rotor system during diving–climbing maneuver

Chen

Gan

Ren

2020

Proceedings of the Institution of Mechanical Engineers, Part G:

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During aircraft maneuvering flights, engine's rotor-bearing systems are subjected to parametric excitations and additional inertial forces, which may cause severe vibration and abnormal operation. Based on Lagrange's principle combined with finite element modeling, the differential equations of motion for a squeeze film damped rotor-bearing system mounted on an aircraft in maneuvering flight are derived. Using Newmark–Hilber–Hughes–Taylor integration method, dynamic characteristics of the nonlinear rotor system under maneuvering flight are investigated. The factors are considered, involving mass unbalance, oil–film force, gravity, parametric excitations and additional inertial forces, and instantaneous static eccentricity of journal induced by maneuvering loads. The effects of forward velocity, radius of curvature, rotating speed, mass unbalance, oil–film clearance, and elastic support stiffness on transient responses of rotor system are discussed during diving–climbing maneuver. The results indicate that when the aircraft performs a diving–climbing maneuver in the vertical plane, the journal deviates from the center of oil–film outer ring, and the excursion direction of whirl orbit is determined by centrifugal acceleration and additional gyroscopic moment. The journal whirls asynchronously around the instantaneous static eccentricity and its magnitude is related to the maneuvering loads and the supporting stiffness. Increasing forward velocity or decreasing pitching radius, the rotor vibration will enter earlier into or withdraw later from the relatively large eccentricity. Rotating near critical speeds or excessive mass unbalances should be prevented during maneuvering flights. For large maneuver, the oil–film radial clearance needs to be enlarged properly to avoid hard contact between journal and outer ring. In addition, the stiffness of elastic support needs to be appropriately determined for damping performance. Overall, it provides a flexible approach with good expandability to predict dynamic characteristics of on-board squeeze-film damped rotor system during maneuvering flights in the design process.

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Effect of multi-frequency parametric excitations on the dynamics of on-board rotor-bearing systems

Cited by 47 publications

References 34 publications

Application of Multibody Dynamics Tools for Determination of Engine Excited Turbocharger Vibrations

Application of Multibody Dynamics Tools for Determination of Engine Excited Turbocharger Vibrations

Temperature Effects on Dynamic Properties of Suspended Cables Subjected to Dual Harmonic Excitations

Effect of flight/structural parameters and operating conditions on dynamic behavior of a squeeze-film damped rotor system during diving–climbing maneuver

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