Nonlinear Dynamics, Vibration Monitoring and Fault Diagnostics in Rotating Systems

A special issue of Machines (ISSN 2075-1702). This special issue belongs to the section "Machine Design and Theory".

Deadline for manuscript submissions: 31 August 2025 | Viewed by 664

Special Issue Editors


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Guest Editor
School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
Interests: nonlinear dynamics and vibration control; intelligent modeling; intelligent fault diagnosis; digital twins
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
1. Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University, Menouf 32952, Egypt
2. School of Astronautics, Harbin Institute of Technology, Harbin 150001, China
Interests: nonlinear dynamical systems; nonlinear vibration control; rotor active magnetic bearing systems; rotor dynamics; chaotic systems, chaos control, and synchronization; perturbation methods; bifurcation theory; delayed differential equations.
Special Issues, Collections and Topics in MDPI journals
Department of Mechanics, Tianjin University, Tianjin 100072, China
Interests: nonlinear dynamics; rotor dynamics; deep learning
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Rotating machinery, such as turbines, compressors, and generators, is integral to industries like aerospace, energy, and manufacturing. These systems operate under demanding conditions, often exhibiting complex nonlinear characteristics, including resonances, multi-mode vibrations, bifurcation, and chaos. As the safety, reliability, and efficiency requirements increase in rotating systems, advancing theoretical understanding and developing innovative monitoring and fault diagnostic techniques are pivotal to optimizing working performance, minimizing downtime, and extending equipment life.

Recent developments in computational methods, sensor technologies, and machine learning have significantly expanded the possibilities for innovation in this field, including the application of multi-physics and multi-scale simulations to capture intricate nonlinear phenomena, the integration of real-time monitoring systems for predictive maintenance, and the utilization of artificial intelligence to predict faults with higher accuracy. The Special Issue aims to invite contributions that push the boundaries of these advancements, explore novel simulation or experimental methodologies, and provide transformative insights into the dynamics and diagnostics of rotating systems.

Topics of interest include, but are not limited to, the following:

  • Novel modeling, solving, and experimental methods for rotating systems;
  • Nonlinear phenomenon analysis of complex rotating systems with high dimensions or multiple nonlinearities;
  • Mechanism of nonlinear dynamics under multiple physical fields;
  • Rapid monitoring and evaluation of key components;
  • Advanced vibration monitoring methods and experimental verification;
  • Advanced fault diagnosis methods and experimental verification;
  • Nonlinear vibration control.

Dr. Lei Hou
Dr. Nasser A. Saeed
Dr. Shun Zhong
Guest Editors

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Keywords

  • rotating systems
  • nonlinear dynamics
  • vibration monitoring
  • fault diagnostics
  • intelligent modeling
  • experimental investigation
  • multi-physics and multi-scale
  • artificial intelligence

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Published Papers (3 papers)

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Research

23 pages, 12486 KiB  
Article
Nonlinear Vibration Analysis of Turbocharger Rotor Supported on Rolling Bearing by Modified Incremental Harmonic Balance Method
by Tangwei Li, Hulun Guo, Zhenyu Cheng, Rixiu Men, Jun Li and Yushu Chen
Machines 2025, 13(5), 360; https://doi.org/10.3390/machines13050360 - 25 Apr 2025
Viewed by 184
Abstract
High-speed rolling bearings exhibit low friction, high mechanical efficiency, low lubrication requirements, and excellent acceleration performance. The replacement of floating ring bearings in turbochargers with rolling bearings is an important tendency for modern turbochargers. However, due to the nonlinearity in rolling bearings, the [...] Read more.
High-speed rolling bearings exhibit low friction, high mechanical efficiency, low lubrication requirements, and excellent acceleration performance. The replacement of floating ring bearings in turbochargers with rolling bearings is an important tendency for modern turbochargers. However, due to the nonlinearity in rolling bearings, the nonlinear vibration characteristics of the turbocharger rotor system need to be clearly revealed. The turbocharger rotor is modeled by a lumped mass model. The nonlinear rolling bearing model is derived using the Hertz contact theory. The vibration responses of the nonlinear system are obtained by the modified incremental harmonic balance (MIHB) method. The results demonstrate that the MIHB method significantly improves computational efficiency compared to the traditional fourth-order Runge–Kutta method for solving this class of problems while also being capable of obtaining complete solution branches of the system. The stability of the responses is determined by the Floquet theory. Based on the present rotor dynamic model, the conical mode and cylindrical mode are found. Resonance peaks at 4.5 × 104 rpm (conical mode) and 1.1 × 105 rpm (bending mode) are identified as critical vibration thresholds. Moreover, the vibration amplitude results show that the resonance peak of the bending mode is mainly due to the nonlinearity of the rolling bearings, which also causes the amplitude jumping phenomenon. Changing the parameters of the rolling bearing could avoid the resonance peak appearing in the working speed range. The amplitude of the system under different rotating speeds could be suppressed by choosing the appropriate parameters of the rolling bearing. Full article
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16 pages, 3060 KiB  
Article
Influence of Excitation Disturbances on Oscillation of a Belt System with Collisions
by Marek Lampart and Jaroslav Zapoměl
Machines 2025, 13(5), 345; https://doi.org/10.3390/machines13050345 - 23 Apr 2025
Viewed by 138
Abstract
In addition to technological influences, real-world belt and conveyor systems must contend with loading effects characterized primarily by randomness. Evaluating the impact of these effects on system behavior involves the creation of a computational model. In this innovative approach, disturbances are expressed by [...] Read more.
In addition to technological influences, real-world belt and conveyor systems must contend with loading effects characterized primarily by randomness. Evaluating the impact of these effects on system behavior involves the creation of a computational model. In this innovative approach, disturbances are expressed by discretization and round-off errors arising throughout the solution of the controlling equations. Simulations conducted under this model demonstrate that these disturbances have the potential to generate hidden and co-existing attractors. Additionally, they have the potential to initiate shifts between oscillations of varying periods or transitions from regular to chaotic motions. This exploration sheds light on the intricate dynamics and behaviors exhibited by belt and conveyor systems in the face of various disturbances. Full article
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22 pages, 7429 KiB  
Article
Nonlinear Dynamic Modeling of a Gear-Bearing Transmission System Based on Dynamic Meshing Parameters
by Jinzhou Song, Lei Hou, Rui Ma, Zhonggang Li, Rongzhou Lin, Yi Chen, Yushu Chen and Nasser A. Saeed
Machines 2025, 13(3), 230; https://doi.org/10.3390/machines13030230 - 12 Mar 2025
Viewed by 347
Abstract
The nonlinear contact force between gears and bearings exhibits intricate dynamics. This paper focuses on the coupling relationship between the time-varying meshing parameters of the gears, dynamic backlash, and dynamic bearing clearance in gear-bearing transmission systems. A dynamic model of a gear-bearing transmission [...] Read more.
The nonlinear contact force between gears and bearings exhibits intricate dynamics. This paper focuses on the coupling relationship between the time-varying meshing parameters of the gears, dynamic backlash, and dynamic bearing clearance in gear-bearing transmission systems. A dynamic model of a gear-bearing transmission system considering dynamic meshing parameters is established. The coupling mechanism between meshing stiffness, gear backlash, bearing clearance, and gear vibration response in gear transmission systems is analyzed. The results demonstrate a negative correlation between the gears’ geometric center distance and meshing stiffness amplitude. Gear vibration can affect the relative position of the gears. Changes in the relative position of the gears lead to an increase in the number of frequency components in the frequency domain of gear meshing stiffness. During gear rotation, the meshing parameters of the gears and tooth side clearance fluctuate with gear vibration. With increasing speed, the model’s dynamic meshing parameters also increase accordingly. The model achieves a feedback calculation of the system parameters and vibration responses in gear-bearing system dynamics. Full article
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