Steady-state and transient responses of a flexible eccentric spinning shaft

Dasgupta, Sovan Sundar; Rajan, John

doi:10.5937/fmet1801133d

Cited by 11 publications

(7 citation statements)

References 13 publications

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“…Dasgupta and Rajan 5 studied the Sommerfeld effect using the steady-state amplitude obtained by the instantaneous power balance method and additionally verified by numerical simulation. It also shows the transient characteristics of the dimensionless amplitude and the speed of the shaft with time change through the resonance of the first mode.…”

Section: Introductionmentioning

confidence: 98%

“…The process of passing the rotor system through critical speeds, considering its interaction with the energy source, was considered in many studies. 1–11 In particular, it was found that under conditions when the power reserve of the energy source is small, the course of the process significantly depends on the characteristics of the energy source. Changes in the rotor speed turn out to be closely related to the change in vibration amplitude.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic modeling of a non-ideal gyroscopic rotor system with nonlinear damping and nonlinear rigidity of an elastic support

Iskakov¹,

Jamalov

Bissembayeb

et al. 2022

Advances in Mechanical Engineering

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The article considers the effect of joint linear and nonlinear cubic damping on dynamics of a gyroscopic rigid rotor interacting with an electric motor with a rectilinear characteristic, taking into account the nonlinear rigidity of the support material. The method of regulating the control parameter (voltage on the motor), the amplitude of vibration, and the angular velocity of the shaft in the frequency equation, depending on the value of the coefficient of nonlinear cubic damping of the support, offers the most effective options for controlling resonant oscillations of large amplitudes. It is shown that the greater the value of the coefficient of nonlinear cubic damping, the easier it is to control these oscillations. Moreover, it is proved that the Sommerfeld effect (of the first kind) can also be weakened and eliminate with the help of joint linear and nonlinear damping. To do this, in the case of a rigid characteristic of the nonlinear elasticity of the support material, in a rotor system with a nonideal energy source to eliminate the bistability region, that is, jumping effects, more nonlinear damping of support or energy from a nonideal energy source will be required than in the case of an ideal rotor system.

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Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Dynamic modeling of a non-ideal gyroscopic rotor system with nonlinear damping and nonlinear rigidity of an elastic support

Iskakov¹,

Jamalov

Bissembayeb

et al. 2022

Advances in Mechanical Engineering

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“…It causes whirling [2] of the shaft defined as the rotation of the plane made by the bent shaft and the line of centres of the bearing/support. Apart from that, instability phenomena in high speed rotors driven by a non-ideal source [3] owing to the presence of internal damping is of great importance in designing a controllable damping parameters for safe ruuning at high speeds.…”

Section: Introductionmentioning

confidence: 99%

“…Dutta & Chakraborty [9] studied the performance of nonlinear oscillator with Magnetorheological (MR) damper based on hysteretic Bouc-Wen model [10,11]. In 2014, Balthazar and his coworkers [12] presented the attenuation and suppression of Sommerfeld effect [3] (a nonlinear jump phenomena which destabilizes the rotor system) using MR damper /device [13] through additional increase in current of the MR damper.…”

Section: Introductionmentioning

confidence: 99%

A numerical study on vibration control of a nonlinear Jeffcott rotor via Bouc-Wen model

Abhishek¹,

Dasgupta²

2019

FME Transactions

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This paper aims to study numerically attenuation of whirl amplitude of a Jeffcott rotor with nonlinear cubic stiffness using hysteretic damping based on Bouc-Wen model. In the present work, a modified Jeffcott rotor with linear viscous damping and cubic stiffness excited by harmonic forcing function owing to mass unbalance is studied. The nonlinear cubic stiffness term appears due to either mid-plane stretching of the shaft or by introducing nonlinear spring at the supports. In view of attenuating the vibrational response further, a nonlinear hysteretic damping term based on widely accepted Bouc-Wen model multiplied with a suitable scale factor is introduced into the system equation. Through appropriate choice of parameters of the model, a wide variety of hysteresis loops are obtained to illustrate the influence of Bouc-Wen parameters over the control of the loop size and smoothness. Following a numerical investigation to highlight the benefits of using Bouc-Wen hysteretic damping, time history and frequency response of the system are presented. A comparison between the responses of the system while using cubic stiffness and hysteretic damping reveals the effectiveness of Bouc-Wen hysteretic damping in reducing whirl amplitude in the subcritical range.

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“…It was shown that the results obtained, like the frequency curves and amplitude diagrams, were the same from application of the two approaches. Dasgupta and Rajan [6] analyses the dynamic responses of a compound rotor system subjected to the external and internal damping.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of functionally graded shaft

Dey¹,

Jay²,

Soni³

et al. 2019

FME Transactions

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This paper deals with modal analysis of a functionally graded composite rotor shaft. Material properties distribution is assumed to vary along the radial direction of the Functionally Graded shaft according to power law distribution. The rotor shaft has been modelled and modal analysis is carried out. Functionally Graded Rotor shaft is analyzed by applying the loads and boundary conditions to obtain the vibration response and Campbell diagram is plotted. Various results have been obtained such as Campbell diagram, stability speed limit and time responses for functionally graded shaft and also compared with conventional steel shaft. It has been found that the responses of the functionally graded shaft are significantly influenced by material properties, radial thickness and power law index. The results obtained also show the benefits of functionally graded shaft over conventional steel shaft.

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Steady-state and transient responses of a flexible eccentric spinning shaft

Cited by 11 publications

References 13 publications

Dynamic modeling of a non-ideal gyroscopic rotor system with nonlinear damping and nonlinear rigidity of an elastic support

Dynamic modeling of a non-ideal gyroscopic rotor system with nonlinear damping and nonlinear rigidity of an elastic support

A numerical study on vibration control of a nonlinear Jeffcott rotor via Bouc-Wen model

Dynamic analysis of functionally graded shaft

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