A mesh stiffness method using slice coupling for spur gear pairs with misalignment and lead crown relief

Wang, Qibin; Xu, Kun; Huai, Tianshu; Ma, Hui; Wang, Kun

doi:10.1016/j.apm.2020.08.046

Cited by 79 publications

(32 citation statements)

References 37 publications

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“…For example, Chen et al [13] simplified the gear tooth into a cantilever beam to study the analytical calculation model of time-varying meshing stiffness and obtain the static meshing stiffness. Wang [14,15] calculated the analytic solutions of timevarying meshing stiffness of spur and helical gears using the slice method and explored the influences of factors such as misalignment, lead crown relief, and axial mesh force on time-varying meshing stiffness of gears. Tang and Pu [16] established the meshing model of spiral bevel gears by using finite element software and then obtained dynamic and more accurate time-varying mesh stiffness.…”

Section: Introductionmentioning

confidence: 99%

Research on the Influence of Time‐Varying Excitation on Vibration Characteristics of the Spiral Bevel Geared Transmission System with Broken Teeth

Yang

Chen

Jiang

et al. 2021

Shock and Vibration

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Due to heavy and alternating loads of working conditions, spiral bevel gears are prone to broken tooth failures. To solve the problem of vibration characteristic of spiral bevel geared transmission with broken tooth failures that is unknown, this study, considering time-varying mesh stiffness and friction excitation, proposed a torsional vibration dynamic model of spiral bevel geared transmission, which has more simple transmission path and the smaller signal attenuation. First, the time-varying excitations of various broken tooth failure are calculated and introduced into the torsional vibration dynamic model. The vibration response of spiral bevel geared transmission with various broken tooth failures is analysed in the time-frequency domain. Then, the sensitivity of the time-domain statistical index and the frequency domain components to different broken tooth failures are studied. Finally, the correctness of the simulation is verified by experiment. The results show that the crest factor is sensitive to minor tooth failure (10–30%), while kurtosis is sensitive to severe failure (30–60%). With the increase of degrees of broken tooth failure, the energy of the low-frequency band increases obviously.

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Section: Introductionmentioning

confidence: 99%

Research on the Influence of Time‐Varying Excitation on Vibration Characteristics of the Spiral Bevel Geared Transmission System with Broken Teeth

Yang

Chen

Jiang

et al. 2021

Shock and Vibration

View full text Add to dashboard Cite

show abstract

“…As a result, it needs first to determine the mesh stiffness for prediction or evaluation of the gear dynamic behavior. At present, the potential energy principle proposed by Yang and Lin 6 in 1987 and the improvements based on this method 7,8 are the most frequently used analytical methods to solve the TVMS of healthy or unhealthy gears, where the gear tooth is modeled as a cantilever nonuniform beam. The vibrations of beams have been discussed by many scholars 9–12 .…”

Section: Introductionmentioning

confidence: 99%

Mesh stiffness calculation and vibration analysis of the spur gear pair with tooth crack, considering the misalignment between the base and root circles

Hou

Yang

et al. 2021

Int Journal of Mech Sys Dyn

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An improved variable cross-section cantilever beam model for evaluating the timevarying mesh stiffness (TVMS) of the perfect gear tooth is developed in which the tooth number of driving gear is less than 42 and that of driven is more than 42. The TVMS obtained by the proposed method is compared with the result without considering the misalignment between the base circle and gear root. Four types of root crack models and changes in TVMS of 13-crack levels are presented. The fault vibration characteristic of a single-stage spur gear reducer with root crack is analyzed and the correctness is qualitatively verified by the vibration signals of an experimental gearbox with crack or missing failure. The results presented in this paper are of great significance for a deep understanding of the possible causes of vibration and noise of gears and provide a theoretical foundation for the fault diagnosis of the gearbox. K E Y W O R D S backlash, gear, potential energy method, time-varying mesh stiffness (TVMS), tooth crack 1 | INTRODUCTION Spur gear transmission system has been used in various mechanical fields, 1-3 because of some characteristics, for example, simple structure, reliable operation, long service life, no axial forces, and so on during meshing. A great deal of research has been made on the dynamics of a pair of healthy spur gears. Amabili and Rivola 4 investigated the steady-state response and stability of a single degree of freedom (DOF) model with time-varying mesh stiffness (TVMS) and damping coefficient. Later, Amabili and Fregolent 5 proposed a new method for identifying the gear error and modal parameters,where the nonlinear meshing stiffness, mesh damping, and excitation caused by gear errors are taken into account. However, tooth crack, pitting, spalling may develop in gears for overload, harsh operating conditions, manufacturing errors, and so forth. Therefore, it is of great significance to study the mechanism and vibration characteristics of spur gear systems with faults for further understanding the causes of gear vibration and noise, as well as for gear fault diagnosis.

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“…This makes it difficult to update the vibroacoustic FEA model based on modal data. Wang et al (2021) proposed a mesh stiffness model of spur gear pairs with misalignment and lead crown relief based on the slice theory. The slice coupling was simulated as a spring, and the corresponding model was developed.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, vibration and noise reduction can be achieved by manipulating the dynamic characteristics of the housing with additional damping material (Wu et al, 2019;Hu et al, 2017;Weis et al, 2017). The results show that stiffness and mass are two factors that affect the actual attenuation of the locally resonant damping structural housing.…”

Section: Introductionmentioning

confidence: 99%

Vibroacoustic characteristics analysis of a planetary gear reducer considering the exterior housing structure

et al. 2021

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Abstract. Previous studies have attempted to identify weak links in the dynamic characteristics of the planetary gear reducer (PGR) exterior body structure (EBS). Through numerical simulation, these studies analyzed the mode and natural frequencies and the vibration types of each order of the EBS. However, these scholars have never focused on the main factors affecting the dynamic characteristics of the EBS of this subject. This study in the topic has analyzed the vibroacoustic characteristics of an EBS and optimized its design using numerical simulation. Herein, the contribution of the vibration transfer path from the excitation points on the exterior body to the machine foot is emphatically revealed, and the influences of the main structural parameters on the transfer characteristics are discussed. An optimal EBS for a PGR with lower acoustic vibrations is designed in detail, and a composite EBS with damping vibration attenuation and acoustic absorption is proposed. The radiation acoustic characteristics without acoustic protection and damping materials are analyzed. These research results are implemented in order to realize the dynamic characteristics, transmission, and radiation acoustic characteristics as objects of optimization, and the structural design parameters of the PGR exterior body are deeply optimized using dynamic modification and sensitivity analysis. This topic focuses on the vibroacoustic coupling of EBS in stationary fluid and average flow field. Based on the analysis method of theoretical modeling and numerical calculation, the EBS dynamic response and vibroacoustic characteristics under the action of frontal excitation external acoustic flow field are studied, which will be beneficial to explore the comprehensive optimization design of PGR dynamic and vibroacoustic properties.

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A mesh stiffness method using slice coupling for spur gear pairs with misalignment and lead crown relief

Cited by 79 publications

References 37 publications

Research on the Influence of Time‐Varying Excitation on Vibration Characteristics of the Spiral Bevel Geared Transmission System with Broken Teeth

Research on the Influence of Time‐Varying Excitation on Vibration Characteristics of the Spiral Bevel Geared Transmission System with Broken Teeth

Mesh stiffness calculation and vibration analysis of the spur gear pair with tooth crack, considering the misalignment between the base and root circles

Vibroacoustic characteristics analysis of a planetary gear reducer considering the exterior housing structure

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