Dynamic Analysis of Rubbing Rotor System Based on Hertz Contact Theory

Liu, Yang; Li, Qin Liang; Chen, Ya Zhe; Wen, Bang Chun

doi:10.4028/www.scientific.net/amr.479-481.743

Cited by 3 publications

(1 citation statement)

References 6 publications

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“…The classical Hertz contact theory developed by Hertz lays a solid foundation for contact mechanics (Hertz, 1882). Hertz’s contact theory can be applied to engineering problems such as wheel-rail contact and rotor friction and collision of trains (Liu et al , 2012; Hugo et al , 2020). In addition, it can also be applied to the dynamic response model of the sphere at the viscoelastic interface (Koruk, 2021).…”

Section: Introductionmentioning

confidence: 99%

Motion optimization of an omnidirectional mobile robot with MY wheel based on contact mechanics

Sun

et al. 2022

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Purpose The mechanical properties between wheel and ground will affect the motion performance of wheeled omnidirectional mobile robot (OMR). MY3 wheel is an omnidirectional wheel. This paper aims to analyze the contact mechanical characteristics between MY3 wheel and ground to improve the motion accuracy of an omnidirectional mobile platform with MY3 wheel (MY3-OMR). Design/methodology/approach This method takes MY3 wheel as the research objective. The normal and tangential contact mechanics model and rolling contact mechanics model of MY3 wheel are established by analyzing the structure of MY3 wheel, and thereby, the slip ratio of MY3 wheel in the process of motion is calculated. The kinematics model of MY3-OMR is optimized by taking the slip ratio as the optimization parameter that aims to improve motion accuracy of MY3-OMR. Findings The correctness of the mechanical analysis and the feasibility of the method are verified by the MY3-OMR prototype. Let MY3-OMR move along the set circular trajectory and square trajectory, and the error between the motion trajectory before and after optimization and the standard trajectory is obtained. It illustrates that the error in the square trajectory is reduced by 1.5%, and the circular trajectory error is reduced by 2%; therefore, the method is effective. Originality/value A method based on contact mechanics is proposed and verified. Through the establishment of wheel-ground contact mechanics model to optimize MY3-OMR kinematics model, and thereby, the motion accuracy of MY3-OMR is improved, which lays a foundation for MY3-OMR engineering application.

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Section: Introductionmentioning

confidence: 99%

Motion optimization of an omnidirectional mobile robot with MY wheel based on contact mechanics

Sun

et al. 2022

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The numerical modeling of rotor–stator rubbing in rotating machinery: a comprehensive review

Prabith

Krishna

2020

Nonlinear Dyn

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Experimental and numerical study of lateral vibration of a rotor–stator rubbing system

Taher,

Rabeih,

El-Mongy

2024

Int. J. Dynam. Control

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In this paper, lateral vibration of a rotating system with rotor–stator rubbing is investigated experimentally and numerically. An experimental study is conducted using a simple test rig to model a horizontal rotating system with a fixed stator device to simulate rubbing. Furthermore, a lumped parameter model with two degrees of freedom is established with a viscoelastic contact model that considers the stiffness and damping properties of the stator. The fourth/fifth order Runge–Kutta technique is used to solve the nonlinear equations of motion of the rotor system. The effect of changing mass unbalance and radial clearance on the dynamic response is investigated experimentally and numerically. The observed results are presented in detail through bifurcation diagrams, frequency spectra, Poincaré’s points, orbit plots, and time waveforms. The experimental results show that changing the mass unbalance and radial clearance yield significant effects on the system response. The 2 × and 3 × harmonic components are found to serve as good indicators of increasing rub severity. The numerical results show the dynamic characteristics of rub responses such as periodic no-contact, periodic with contact, quasi-periodic, and chaotic responses. The response characteristics are very sensitive to the changes in system parameters and initial conditions. Both the experimental and numerical results show qualitatively that the lateral vibration response exhibits coexistence and alternation of periodic and chaotic responses. Also, quasiperiodic response shows up in some numerical case studies. The obtained results contribute toward a better diagnosis of rotor–stator rub fault in rotating machines.

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Dynamic Analysis of Rubbing Rotor System Based on Hertz Contact Theory

Cited by 3 publications

References 6 publications

Motion optimization of an omnidirectional mobile robot with MY wheel based on contact mechanics

Motion optimization of an omnidirectional mobile robot with MY wheel based on contact mechanics

The numerical modeling of rotor–stator rubbing in rotating machinery: a comprehensive review

Experimental and numerical study of lateral vibration of a rotor–stator rubbing system

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