Dynamics of a rotor shaft driven by a non-ideal source through a universal joint

Bharti, Saurabh Kumar; Sinha, Anubhab; Samantaray, Arun Kumar; Bhattacharyya, Ranjan

doi:10.1016/j.jsv.2021.115992

Cited by 7 publications

(4 citation statements)

References 27 publications

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“…where X is the frequency of the disturbing moment or the angular speed of rotation of the motor shaft. Differentiating expression (11) and taking into account expression (15), we have the following:…”

Section: Solutions Of the Equations Of Motionmentioning

confidence: 99%

“…Expression (17) together with (11), (13), and ( 14) will be substituted into the first and third equations of system (10):…”

Section: Solutions Of the Equations Of Motionmentioning

confidence: 99%

“…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%

“…A rigid rotor system driven through a universal joint (U-joint) and mounted on weakly damped flexible supports demonstrates parametric instability of the main and combined types at certain combinations of torque and speed. 11 It is shown that the dynamic coupling between a DC motor and a rotating rotor in a nonideal system can stabilize the system in speed ranges where the corresponding ideal system is unstable. This stabilization depends on constant torque/speed; that is, a motor with a higher constant characteristic tends to stabilize the system better.…”

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: Solutions Of the Equations Of Motionmentioning

confidence: 99%

“…Expression (17) together with (11), (13), and ( 14) will be substituted into the first and third equations of system (10):…”

Section: Solutions Of the Equations Of Motionmentioning

confidence: 99%