An improved analytical method for mesh stiffness calculation of helical gear pair considering time-varying backlash

Yang, H. L.; Shi, Wenxiao; Chen, Zhiyong; Guo, Niancheng

doi:10.1016/j.ymssp.2022.108882

Cited by 20 publications

(8 citation statements)

References 40 publications

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“…where a u , u w , S fw , L * , M * and Q * can be found in Yang and Shi. 36 Generally, the Hertzian contact stiffness in gears is nonlinear, it is related to the nonlinear contact force. The local contact stiffness k h can be expressed as Ma and Zeng.…”

Section: Calculation Of Gear Mesh Stiffness With Pitting Based On Ima...mentioning

confidence: 99%

Dynamical modeling of spur gear with pitting based on image processing tooth surface

Liu

Zhu

Song

et al. 2023

Structural Health Monitoring

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Reliable dynamic model of gear system with pitting can be utilized to investigate the effects of surface pitting on vibration response and to identify its severity. In this study, a dynamic model with pitting based on image processing is proposed, and pitting is simulated through the discrete tooth surface. The contact points are modeled by a network of linear springs with different stiffness in parallel. The revised mesh stiffness is calculated and a new mesh stiffness calculation method with surface pitting is proposed, which combines pixel matrix with mesh stiffness to improve the accuracy and efficiency of calculation. The dynamic model is validated by comparison with experimental test signals under different rotations and pitting states. As the Hilbert–Huang transform energy spectrum method has been applied for the detection of the vibration signals with small pitting areas, the signal characteristics caused by pitting can be well represented based on the statistical indicators and energy spectrum.

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Section: Calculation Of Gear Mesh Stiffness With Pitting Based On Ima...mentioning

confidence: 99%

Dynamical modeling of spur gear with pitting based on image processing tooth surface

Liu

Zhu

Song

et al. 2023

Structural Health Monitoring

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“…Yan et al 29 proposed a new analytical model of meshing stiffness of helical gears using a combination of contact line analysis with slice method, which can well predict the dimensionless time-varying meshing stiffness. Yang et al 30 improved the calculation of helical gear stiffness by considering flexible deflection and clearance. Huangfu et al 31,32 proposed a new method for calculating the time-varying meshing stiffness of helical gears with root crack faults by utilizing the slice method and the idea of “offset and superposition.” Hu et al 33 constructed a time-varying meshing stiffness calculation methods for helical gear pairs in electric continuously variable transmissions based on the slice theory and numerical calculation methods, and the TVMS of the helical gear were calculated under different constant and time-varying torque in this study.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Study on time-varying meshing stiffness of helical gears with root crack faults based on improved potential energy method

Zhang,

Li,

Sun

2024

Advances in Mechanical Engineering

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Time-varying meshing stiffness is one of the important excitations of gear transmission system, and its accurate calculation is an important basis for gear dynamics research. This paper proposes an improved potential energy method to calculate the theoretical time-varying meshing stiffness of healthy gears and helical gears with root crack faults, taking into account the non coincidence between the tooth root circle and the base circle of the helical gear, as well as the angle of the tooth root transition circle, the simulation results of KISSsoft were used to verify the rationality and effectiveness of the improved method; analyzed the influence of basic parameters and fault severity of helical gears on time-varying meshing stiffness. The results show that the accuracy of meshing stiffness obtained by the improved method has increased by about 5%; changes in the basic gear parameters cause changes in the contact ratio, which in turn leads to changes in the fluctuation and average value of the gear meshing stiffness; the fluctuation of meshing stiffness is in the minimum value when overlap contact ratio is close to an integer, the fluctuation of meshing stiffness is in the maximum value when total overlap is near an integer; the variation of crack depth and angle leads to local attenuation of time-varying meshing stiffness of helical gears. As the degree of failure increases, the local attenuation of meshing stiffness becomes more pronounce and compared to crack angle, meshing stiffness is more sensitive to changes in crack depth. Compared with the traditional potential energy method, the improved method improves the calculation accuracy of the time-varying meshing stiffness of helical gears, which is highly practical in the accurate calculation of helical gear meshing stiffness excitation and provide the theoretical basis for the calculation of the meshing stiffness of helical gears.

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“…Flek et al [11] used five pairs of gear as example, and systematically compared the differences between analytical method and FE method in calculating time-varying mesh stiffness. Taking a pair of helical gear as research object, Yang et al [12] took into account the time-varying backlash effect, and improved the traditional potential energy method, which was verified by FE method. And further, by considering the flexibility effect of planet bearing and carrier, the author proposed an analytical method for calculating the mesh stiffness of the planetary gear system, and the validity was proved through a full FE model [13].…”

Section: Introductionmentioning

confidence: 99%

“…Fig 12. Comparison results of mesh stiffness corresponding to different modification length: a time-varying mesh stiffness, b mean and peak-to-peak stiffness…”

mentioning

confidence: 99%

Nonlinear dynamic modeling and analysis of mesh stiffness of the spur gear pair considering tooth tip modification

Yang,

Shi

et al. 2023

Preprint

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The mesh stiffness characteristics of the gear pair have direct effect on its transmission error, and then affect the noise and vibration level of the gear. To control the instability of gear meshing caused by tooth deformation, the tooth tip modification is an important mean, but it will undoubtedly introduce tooth profile errors. Firstly, considering the inconsistency between base circle and root circle under different tooth numbers, the potential energy method is improved to calculate the mesh stiffness of spur gear pair. Then, based on the theory of tooth tip modification and improved potential energy method, a new analytical method for mesh stiffness calculation considering tooth profile error is proposed. Taking a pair of spur gear as example, the finite element(FE) model is established, and the correctness of the proposed method is verified by comparing the time-varying mesh stiffness, mean stiffness, and peak-to-peak stiffness. The comparison results show that the method proposed in this paper can ensure high calculation accuracy while achieve lower computation cost. Finally, the sensitivity analysis is conducted on modification parameters including curve types, amount, and length. The influence of different parameters on mesh stiffness characteristics, bearing capacity, and noise problem is investigated.

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An improved analytical method for mesh stiffness calculation of helical gear pair considering time-varying backlash

Cited by 20 publications

References 40 publications

Dynamical modeling of spur gear with pitting based on image processing tooth surface

Dynamical modeling of spur gear with pitting based on image processing tooth surface

Study on time-varying meshing stiffness of helical gears with root crack faults based on improved potential energy method

Nonlinear dynamic modeling and analysis of mesh stiffness of the spur gear pair considering tooth tip modification

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