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Nonlinear Dynamics Simulation Analysis of Rotor-Disc-Bearing System with Transverse Crack

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Abstract

One of the main causes for failure in the rotor machine is the presence of internal cracks in the shaft rotating at high speed. The occurrence of such cracks has a dangerous and catastrophic effect on the dynamic behavior of rotating structures and can seriously affect rotating machinery. Due to the destructiveness of the cracks in rotor system, cracks were chosen as the subject of study, and the how to formulate the dynamics equation of the rotor system with and without cracks was explained. In that, the finite element analysis method was combined with the Lagrange method to concretely interpret the equation formulation. Then, the natural frequency matrix and mode of the rotor system without crack and with one crack were determined by using the ANSYS program's tetrahedral mesh and iteration strategies of Runge–Kutta. Furthermore, how the change of the crack position and the non-dimensional crack depth influence the natural frequencies of the rotor system were analyzed in detail. And, the influence of eccentricity on the rotor system and the relationship between eccentricity and nonlinearity were obtained. The result showed that when the eccentric distance and the eccentric mass were relatively small, i.e. 0.05 m, 0.001 kg, the effect on the eccentric force is almost linear, but when the eccentric distance and the eccentric mass were relatively large, i.e. 0.1 m, 0.05 kg, the nonlinear effect of eccentric forces must be considered.

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Authors and Affiliations

  1. School of Mechanical Technology, Kim Chaek University of Technology, Pyongyang, 950003, Democratic People’s Republic of Korea

    Ri CholUk, Zhang ZhunHyok, Sin YongIl & Ri KwangIl

  2. School of Traffic and Transportation, Northeast Forestry University, Haerbin, 150040, China

    Zhao Qiang

  3. Kim Il Sung University, Pyongyang, 999093, Democratic People’s Republic of Korea

    Chae ChungHyok

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  1. Ri CholUk
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  2. Zhao Qiang
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  3. Zhang ZhunHyok
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  4. Chae ChungHyok
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  5. Sin YongIl
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  6. Ri KwangIl
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Correspondence to Zhao Qiang.

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CholUk, R., Qiang, Z., ZhunHyok, Z. et al. Nonlinear Dynamics Simulation Analysis of Rotor-Disc-Bearing System with Transverse Crack. J. Vib. Eng. Technol. 9, 1433–1445 (2021). https://doi.org/10.1007/s42417-021-00306-w

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  • DOI: https://doi.org/10.1007/s42417-021-00306-w

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