Development and verification of a computationally efficient stochastically linearized planetary gear train model with ring elasticity

Kahnamouei, Jalal Taheri; Yang, Jianming

doi:10.1016/j.mechmachtheory.2020.104061

Cited by 17 publications

(11 citation statements)

References 22 publications

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“…In general, the vibration accelerations for the FFT responses of the sun gear and ring gear show three times the gear meshing frequency of the system. Due to the IEOS of the 1st planet gear, the FFT amplitudes in all directions for vibration acceleration response of transmission components are increased to a certain extent at the gear meshing e overall trend and characteristics for the influence of the planetary gear IEOS on the responses of the gear pair meshing force are consistent with the literature [9,12]. e influence situation and characteristics of the IEOS of the 1st planet gear on the vibration accelerations for the transmission components of the system are consistent with the literature [13].…”

Section: Dynamic Responses Of the Hptssupporting

confidence: 85%

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Dynamic Characteristics of the Helical Planetary Transmission System considering the Installation Error of Shaft

Zhai

Hou

Fang

et al. 2022

Shock and Vibration

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The helical planetary transmission system (HPTS) is widely used in wind power, hydropower, and shield machine, which operating conditions are extremely complicated, and the existence of component installation errors will result in response deviations to the theoretical design. A dynamic model for slice type bending-torsional-pendulum of the HPTS is established in the lumped parameter method considering the installation error of shaft (IEOS) for the 1st planet gear, helical meshing characteristics, and bearing support characteristics. The vibration response characteristics of the HPTS under the IEOS for the 1st planet gear are studied. The results have shown that the FFT amplitudes for the horizontal vibration acceleration of the sun gear increased by 8.3%, and the axial vibration acceleration of the ring gear increased by 11.5%, respectively. The maximum magnitude increase of FFT amplitude for the vibration acceleration under a positive 0.13 mm IEOS for the 1st planet gear is the axial direction of the ring gear. The results indicate that the IEOS needs to be thoroughly introduced into the HPTS to simulate the actual operating conditions of the system.

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Section: Dynamic Responses Of the Hptssupporting

confidence: 85%

“…Taheri et al [12] presented a dynamic model of the planetary gear transmission system considering the deformation of the elastic ring gear and studied the meshing force response and vibration response characteristics of the system. e results showed that the meshing of gear pair has a strong influence on the system response.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Characteristics of the Helical Planetary Transmission System considering the Installation Error of Shaft

Zhai

Hou

Fang

et al. 2022

Shock and Vibration

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“…The j-th mode shape in the radial direction of the rings is assumed as U j ðθÞ. According to equation (6) and equation (11), the radial displacement of the rings at position θ is expressed as…”

Section: Methods For Solving the Differential Equation Of The Rings M...mentioning

confidence: 99%

“…Huang 5 et al proposed a method to seek the real circumferential strain of functionally graded material rings by using the first order shear deformation theory. Kahnamouei 6 et al considered and incorporated into the finite element model to study the elastic deformation of ring gear. Heras 7 et al built the model by the formulation and minimization of the potential energy to get ring deformations.…”

Section: Introductionmentioning

confidence: 99%

Radial stiffness analysis of circular ring with uncertain boundary conditions: Mechanical elastic wheel as an example

Zhang

Zhao

Feng

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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The paper studies the radial stiffness of mechanical elastic wheel (MEW), which is regarded as a circular ring with uncertain boundary conditions for the first time, and proposes a ring-chain model to solve the radial stiffness of the ring. Different from assuming the boundary conditions by experience or building finite element model with complex processes from previous researches, the ring-chain model coupling circular ring model and dynamics of multi-rigid body is accurate and simple to find the loaded positions of ring and make the boundary conditions clear. The results show that the ring-chain model can be solved to get the deformations and loaded positions of ring, the radial stiffness of MEW is large, and the radial displacement of MEW increases non-linearly. The results are consistent with that from finite element model under the same settings, but the time cost of ring-chain model is less. In addition, the influence factors of ring radial stiffness are also found and analyzed. The method presented in this paper can provide data for the response analyses of vehicle and references for the analysis of circular ring with uncertain boundary conditions.

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“…Reference [16] presented a switch control method in which time-optimal sliding mode control was used when the system entered backlash and a nonlinear proportional-integral-derivative (PID) controller was used when the gears were meshed. References [17], [18] used statistical linearization methods to deal with the nonlinear characteristics caused by backlash. References [19]- [21] applied adaptive controllers based on different inputs to compensate for the errors caused by backlash.…”

Section: Introductionmentioning

confidence: 99%

Research on Clearance Elimination Control Based on Linearization

et al. 2021

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The accuracy and operational stability of a turntable system can be reduced by the backlash problem that occurs in the reducer's gear transmission system. To solve this problem, this work proposes a scheme in which two motors are used to eliminate the effects of backlash through a linearization process. By calculating and outputting two independent torques synchronously from the two servo motors to the system output shaft's gears, a nonlinear system with backlash can be transformed into a linear system without backlash, thus making the resulting system easy to control. Experiments verify that the system will remain stable after the movement of the output shaft stops.INDEX TERMS Backlash, double-motor system, gear transmission system, linearization algorithm. JINJI QIU received the B.Sc. degree from the Harbin Institute of Technology, China, in 2019, where he is currently pursuing the M.Sc. degree. His research interests include circuit design and magneto-electric encoder. SHUANGHUI HAO was born in Guizhou, China, in 1963. He received the B.Sc. degree from Tianjin University, in 1985, then began his research on special motor at Shanghai Electrical Apparatus Research Institute, China. After that, he received the M.Sc. and Ph.D. degrees from the Kyushu Institute of Technology, Japan, in 1997. He then went to YASKAWA Electric Corporation, Japan, and worked on AC servo motor. In 2003, he began to work with the Harbin Institute of Technology as a Professor. He is the author of more than 100 articles and has more than 60 patents. His research interests include magneto-electric encoder, AC servo systems, numerical control, and signal processing.

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Development and verification of a computationally efficient stochastically linearized planetary gear train model with ring elasticity

Cited by 17 publications

References 22 publications

Dynamic Characteristics of the Helical Planetary Transmission System considering the Installation Error of Shaft

Dynamic Characteristics of the Helical Planetary Transmission System considering the Installation Error of Shaft

Radial stiffness analysis of circular ring with uncertain boundary conditions: Mechanical elastic wheel as an example

Research on Clearance Elimination Control Based on Linearization

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