An engineering application of the h-p version of the finite elements method to the dynamics analysis of a symmetrical on-board rotor

Ahmed, Saad; Hadjoui, A.

doi:10.1080/17797179.2016.1245597

Cited by 8 publications

(3 citation statements)

References 13 publications

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“…Thereafter, the non-stationary shaft's speed of rotation was introduced numerically in on-board rotor applications by Bouziani et al [8], who performed a numerical analysis of the bending behavior in terms of spectrograms. Saimi et al [9] used a new discretization method with "h-p" finite elements to model an on-board rotor with a cantilevered disk, undergoing constant base rotations which altered the Campbell diagram. Following the work done by Dakel et al [4], onboard rotors supported by journal bearings have attracted much attention.…”

Section: Introductionmentioning

confidence: 99%

“…This is the case for instance with the papers devoted to journal bearings [5,[10][11][12][13]24,25] which exploited the short bearing hypothesis so as to use analytical solutions of the Reynolds equation and thus facilitate the numerical investigations. Furthermore, the base excitations were still too restricted to mono-axial and mono-frequency cases as well as limited to the shaft bending dynamics without accounting for the axial and torsional effects [5,[7][8][9][10][11]14]. This also holds for the experimental works, mostly owing to test benches using mono-axial shakers that moreover do not permit a straightforward change of position of the instantaneous axis of the base rotation.…”

Section: Introductionmentioning

confidence: 99%

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Dynamics of on-board rotors on finite-length journal bearings subject to multi-axial and multi-frequency excitations: numerical and experimental investigations

Briend

Châtelet

Dufour

et al. 2021

Mechanics & Industry

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On-board rotating machinery subject to multi-axial excitations is encountered in a wide variety of high-technology applications. Such excitations combined with mass unbalance forces play a considerable role in their integrity because they can cause parametric instability and rotor–stator interactions. Consequently, predicting the rotordynamics of such machines is crucial to avoid triggering undesirable phenomena or at least limiting their impacts. In this context, the present paper proposes an experimental validation of a numerical model of a rotor-shaft-hydrodynamic bearings system mounted on a moving base. The model is based on a finite element approach with Timoshenko beam elements having six degrees of freedom (DOF) per node to account for the bending, torsion and axial motions. Classical 2D rectangular finite elements are also employed to obtain the pressure field acting inside the hydrodynamic bearing. The finite element formulation is based on a variational inequality approach leading to the Reynolds boundary conditions. The experimental validation of the model is carried out with a rotor test rig, designed, built, instrumented and mounted on a 6-DOF hydraulic shaker. The rotor’s dynamic behavior in bending, torsion and axial motions is assessed with base motions consisting of mono- and multi-axial translations and rotations with harmonic, random and chirp sine profiles. The comparison of the predicted and measured results achieved in terms of shaft orbits, full spectrums, transient history responses and power spectral densities is very satisfactory, permitting the experimental validation of the model proposed.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dynamics of on-board rotors on finite-length journal bearings subject to multi-axial and multi-frequency excitations: numerical and experimental investigations

Briend

Châtelet

Dufour

et al. 2021

Mechanics & Industry

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“…e expression of the rotor finite element method is concise and standard, which has prominent advantages when solving the problems of the large complex system composed of rotor and surrounding structures, but this method will increase the system freedom degree and result in a lot of time and space spending [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of Flexible Rotor Based on Transfer Symplectic Matrix

Deng

Fang

et al. 2019

Shock and Vibration

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In view of the numerical instability and low accuracy of the traditional transfer matrix method in solving the high-order critical speed of the rotor system, a new idea of incorporating the finite element method into the transfer matrix is proposed. Based on the variational principle, the transfer symplectic matrix of gyro rotors suitable for all kinds of boundary conditions and supporting conditions under the Hamilton system is derived by introducing dual variables. To verify the proposed method in rotor critical speed, a numerical analysis is adopted. The simulation experiment results show that, in the calculation of high-order critical speed, especially when exceeding the sixth critical speed, the numerical accuracy of the transfer symplectic matrix method is obviously better than that of the reference method. The relative errors between the numerical solution and the exact solution are 0.0347% and 0.2228%, respectively, at the sixth critical speed. The numerical example indicates the feasibility and superiority of the method, which provides the basis for the optimal design of the rotor system.

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Numerical analysis on the dynamics behavior of FGM rotor in thermal environment using h-p finite element method

Assem

Hadjoui

Ahmed

2020

Mechanics Based Design of Structures and Machines

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An engineering application of the h-p version of the finite elements method to the dynamics analysis of a symmetrical on-board rotor

Cited by 8 publications

References 13 publications

Dynamics of on-board rotors on finite-length journal bearings subject to multi-axial and multi-frequency excitations: numerical and experimental investigations

Dynamics of on-board rotors on finite-length journal bearings subject to multi-axial and multi-frequency excitations: numerical and experimental investigations

Dynamic Analysis of Flexible Rotor Based on Transfer Symplectic Matrix

Numerical analysis on the dynamics behavior of FGM rotor in thermal environment using h-p finite element method

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