Nonlinear Finite Element Simulation and Analysis of Double Circular Arc Spiral Bevel Gear Nutation Drive

Su, Yu-jing; Yao, Ligang; Zhang, Jun

doi:10.1007/978-3-030-27526-6_53

Cited by 3 publications

(2 citation statements)

References 19 publications

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“…Zhu et al [17] established a hybrid modeling method of FEA and lumped parameter mass to realize the analysis of a spiral bevel gear coupled drive system. Su et al [18] described the nonlinear FEA model of a double circular helical bevel gear nutation drive. In practice, the FEA method will take a long time to model and simulate.…”

Section: Related Workmentioning

confidence: 99%

A digital twin library of mechanical transmission system for the application of small sample fault diagnosis problem

Meng,

Hu,

et al. 2024

Meas. Sci. Technol.

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Timely and accurate fault diagnosis of transmission systems is crucial to ensuring the systems’ reliability, safety, and economic viability. However, intelligent fault diagnosis algorithms require a lot of labeled data for training, which may not be available and accessible, especially for many critical devices. This hinders the application of some excellent diagnosis methods in real industry. Digital twin (DT), as an advanced cyber-physical integration method, can be utilized to generate rich fidelity data with virtual models to overcome the dilemma of insufficient data, especially for the small sample problem. We propose the DT library to model the mechanical transmission system with various faults for the data augmentation of the small sample problem. In the library, common components in mechanical transmission systems are modular and digitalized into several differential equations. They can compose a mechanical transmission system digital twin (TSDT) and be injected with various faults to simulate the transmission signal, and even replace the physical experimental platform. The simulation data is used as a pre-training dataset, which can be imported into the transfer learning method for the fault diagnosis. After several verifications, it can be concluded that the simulation data from TSDT is effective in transfer ability and fault feature learning, which significantly improves fault recognition accuracy in the small sample problem.

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Section: Related Workmentioning

confidence: 99%

A digital twin library of mechanical transmission system for the application of small sample fault diagnosis problem

Meng,

Hu,

et al. 2024

Meas. Sci. Technol.

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“…Moreover, the tooth load is considered a function of time and location. The dynamic model of SBG considering the friction and elastic contact deformation has been studied by Yu-jing et al [11].…”

Section: Introductionmentioning

confidence: 99%

Spiral Bevel Gears Nonlinear Vibration Having Radial and Axial Misalignments Effects

2021

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In gear transmissions, vibration causes noise and malfunction. In actual applications, misalignments contribute to intensifying the destructive effect of vibrations. In this paper, the nonlinear dynamics of a spiral bevel gear pair, with small helix angle, considering different misalignments, are deeply investigated. Axial misalignment, radial misalignment, and the combination of these two types are considered in this study. The governing equation is numerically solved through an implicit Runge–Kutta scheme. Since the main goal of this study is the analysis of the dynamic scenario, the mesh stiffness of the gear pair is obtained from the literature. The dynamical system is nonlinear and time-varying; it is analyzed through time responses, phase portraits, Poincaré maps, and bifurcation diagrams. Results show that, among the considered three cases with different types of misalignments, the spiral bevel gear with axial misalignment is the worst destructive case; aperiodic, subharmonic, and multiperiod responses are observable for this case. It is interesting that the chaotic responses for the case, having both types of misalignments, are less likely for the case with axial misalignment, only.

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Contact dynamics analysis of nutation drive with double circular-arc spiral bevel gear based on mathematical modeling and numerical simulation

Su¹,

Yao²,

Zhang³

2021

Mech. Sci.

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Abstract. This paper describes a dynamic mathematical model of a new type two-stage nutation drive system with double circular-arc bevel gears. The dynamic displacement–vibration coupling model takes into account the gyro torque and side clearance of the nutating gear. A numerical analysis geometric model of the nutation drive system is developed. The geometric model considers the time-varying and contact deformation of nutation gear meshing. Subsequently, the model is analyzed using the ANSYS/LS-DYNA software, and the dynamic contact characteristics of the nutation gear are calculated. The simulation results revealed that the nutation transmission of the double circular-arc spiral bevel gear is reliable. Moreover, the mathematical verification showed that the simulation is feasible and accurate. The research has important significance for improving the tooth load capacity and transmission stability of nutation drives.

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Nonlinear Finite Element Simulation and Analysis of Double Circular Arc Spiral Bevel Gear Nutation Drive

Cited by 3 publications

References 19 publications

A digital twin library of mechanical transmission system for the application of small sample fault diagnosis problem

A digital twin library of mechanical transmission system for the application of small sample fault diagnosis problem

Spiral Bevel Gears Nonlinear Vibration Having Radial and Axial Misalignments Effects

Contact dynamics analysis of nutation drive with double circular-arc spiral bevel gear based on mathematical modeling and numerical simulation

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