A modified transfer matrix method for the coupled lateral and torsional vibrations of asymmetric rotor-bearing systems

Hsieh, Sheng Chung; Chen, Juhn Horng; Lee, An-Chen

doi:10.1016/j.jsv.2008.01.006

Cited by 43 publications

(25 citation statements)

References 8 publications

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“…For dynamic response analysis, a linearized finite element model was employed to establish a control scheme for rotor systems [5]. The finite element method was also applied to a complex rotor system to evaluate its vibration response due to fluid forces [6], and gyroscopic moments [7]. Although early dynamic models of rotor systems were formulated either analytically [8] or using transfer matrix approach [9], the potential of the powerful finite element technique was recognized at a very early stage [10].…”

Section: Theories and Literature Reviewmentioning

confidence: 99%

Validation of Lumped Mass Lateral Cantilever Shaft Vibration Simulation on Fixed-Pitch Vertical-Axis Ocean Current Turbine

Hantoro¹,

Utama²,

Sulisetyono³

et al. 2010

JTS

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   Research on the emergence of force fluctuations and shaft vibration responses of ocean currents turbine generator become a serious concern to the researchers. This paper was conducted with the aim of investigation into the characteristics of lateral shaft vibration of a fixed-pitch vertical-axis ocean current turbine (VAOCT). The work was carried out numerically and experimentally using tank test. A cantilever type of shaft has been used and modeled using finite element method, and simulated using lumped mass matrix to obtain the vibration characteristics and responses. Variations of incoming fluid velocity and the corresponding rotation velocity (rpm) of VAOCT were used to identify the pattern of lateral displacement responses. Analysis of displacement responses at all nodes in x and y-direction at the same time was carried out. The presents of displacement shapes recognized have close agreement to the 1 st mode shape. Potential problems on the tip of shaft obviously due to half of the force of turbine received concentrated at cantilever tip. The pattern of vibration responses from the test data shows suitable with simulation. Periodic pattern responses resulted from simulation and experiment at the validated node produce the minimum displacement error of 14% at Var-3 (U=1 m/s) and maximum of 24% at Var-2 (U=0.9 m/s).

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Section: Theories and Literature Reviewmentioning

confidence: 99%

Validation of Lumped Mass Lateral Cantilever Shaft Vibration Simulation on Fixed-Pitch Vertical-Axis Ocean Current Turbine

Hantoro¹,

Utama²,

Sulisetyono³

et al. 2010

JTS

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show abstract

“…There is a distance between the meshing force and the shaft, so lateral response by torsional excitation of geared rotors system and the influence of torsional-lateral coupling on the stability behavior of it were studied in [2,3]. Coupled bending torsional vibration of rotors using finite element and a modified transfer matrix method for the coupling lateral and torsional vibrations of symmetric rotor-bearing systems are visible in [4,5]. Many coupling critical rotational speeds are generated and must be considered.…”

Section: Introductionmentioning

confidence: 99%

WITHDRAWN: Dynamic Analysis of Bevel Gear System in Main Retarder

Wang¹,

Zhu²,

Song³

et al. 2020

Preprint

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The main retarder of vehicle is gear rotor system, its vibration property is complex. The whole transfer matrix method is a new algorithm to study, relationship of the displacements and forces are established considering gyroscopic moment and coupling vibration. The meshing point between rotors is treated as coupling element, balance equations are estalished on deformation compatibility condition. The globe status vectors including forces and displacements of all shafts were integrated into a whole transfer matrix. So it can be programming and has high numerical stability and accuracy. The influence of the meshing effect on vibration of the system can be systematically studied. The status vectors such as displacements, deflection angles, torsion angles, shearing forces, bending moments and torques are no longer independent. The vibration property of the geared rotor system was calculated and analyzed. The numerical results revealed that many coupling critical rational speeds of the system are derived. vibration of main retarder can be improved.

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“…Liew et al 16 used TMM for transient analysis of nonsymmetric unbalanced flexible rotor-bearing systems with non-linear hydrodynamic journal bearings or deep-groove ball bearings. Liew et al 17,18 developed modified transfer matrices for analyzing coupled lateral and torsional vibrations of symmetric and asymmetric systems respectively. He et al 19 studied the non-linear vibration behavior of elastic beam undergoing large overall motion by using Riccati discrete time transfer matrix method.…”

Section: Introductionmentioning

confidence: 99%

Flexural vibration analysis of an automobile water pump bearing-rotor system with a modified transfer matrix method

Zhou

Tang³

et al. 2012

Proceedings of the Institution of Mechanical Engineers, Part K:

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The loading, elastic deformation and hydrodynamic film effect at each rolling element-raceway contact of automobile water pump bearing are analyzed. Based on this analysis, the total radial stiffness, angular stiffness and radial damping of the two rolling element rows are modelled. These stiffness and damping are taken into the transfer matrix to evaluate the lateral vibration characteristics of a rotor-automobile water pump bearing system. The natural frequencies, mode shapes and unbalance responses of the system are calculated. The effects of the pulley and fan unbalances on the system response under different spindle speeds are studied. The calculation results show that the unbalance response of the system can be reduced by fixing the pulley and fan with the initial phase difference between their unbalances to be 180 , and by increasing the pulley unbalance appropriately when keeping the fan unbalance constant.

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A modified transfer matrix method for the coupled lateral and torsional vibrations of asymmetric rotor-bearing systems

Cited by 43 publications

References 8 publications

Validation of Lumped Mass Lateral Cantilever Shaft Vibration Simulation on Fixed-Pitch Vertical-Axis Ocean Current Turbine

Validation of Lumped Mass Lateral Cantilever Shaft Vibration Simulation on Fixed-Pitch Vertical-Axis Ocean Current Turbine

WITHDRAWN: Dynamic Analysis of Bevel Gear System in Main Retarder

Flexural vibration analysis of an automobile water pump bearing-rotor system with a modified transfer matrix method

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