Time-varying mesh stiffness analysis of a single-roller enveloping hourglass worm gear

Wang, Qibin; Bo, Zhao; Kong, Xianwen; Ma, Hongbo; Chang, Jiang

doi:10.1177/0954406218762951

Cited by 8 publications

(4 citation statements)

References 36 publications

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“…Based on the surface profile equations E aop,i and E og,i (located in the mesh CS O o X o Y o Z o ), the position, tangent and normal vector of the contact point on the up involute surface can be expressed as equations ( 13), (14), equations ( 15), (16) and equations ( 17), (18), respectively.…”

Section: The Surface Profile Equation Of Slice Modelmentioning

confidence: 99%

“…In contrast, the surface profile of the tooth is described accurately in the Weber theory, 4–10 which is another commonly used analytical method. Based on the Weber theory, the influences of tooth parameters 11 (helix angle, normal modulus), friction, 12 surface morphology, 13 roller radii, 14 crack, 15–21 modified, 22 tooth profile errors, 23 lead crown relief 24 and dedendum circle fillet 25 on the TVMS are analysed. Although the surface profile of the tooth is described accurately in the Weber theory, the tooth is equivalent to a cantilever beam connected to a base circle to make the mathematical model solvable, rather than a dedendum circle, which will also result in calculation errors.…”

Section: Introductionmentioning

confidence: 99%

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Time-varying mesh stiffness calculation for gear pairs with misalignment errors in multiple degrees of freedom based on an analytical method

Chen

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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Misalignment errors (MEs) in multiple degrees of freedom (multi-DOFs) at the mesh position will lead to a change in the time-varying mesh stiffness (TVMS) and then affect the dynamic behaviour of gear pairs. Therefore, a new, more rapid, three-dimensional analytical model for TVMS calculation for gear pairs with three rotational and three translational MEs is established in this paper, and a new solution method based on potential energy theory is presented. In addition, the correctness of the new model is verified by the finite element method (FEM). Moreover, the effective contact line, uneven distribution of mesh force on the contact line, and mesh position change are taken into account. Finally, the TVMS under different ME conditions is calculated with the new analytical model. The results showed that the different MEs have dissimilar effects on the TVMS, and the relationship between the ME and TVMS is nonlinear. In addition, the region of single-pair and double-pair teeth in contact would also change with ME.

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Section: The Surface Profile Equation Of Slice Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Time-varying mesh stiffness calculation for gear pairs with misalignment errors in multiple degrees of freedom based on an analytical method

Chen

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

show abstract

“…In recent years, meshing stiffness has been studied by Wang [2 ]and the lubrication flow field has been analyzed by Deng [3] , etc. Therefore, a variety of new worm drives have been derived, such as backlash double roller enveloping ring surface worm drive [4] , tilting double-roller enveloping ring surface worm drive [5 ], parallel inclined double roller enveloping ring surface worm drive [6] , roller enveloping end face meshing worm drive [7] , and so on.…”

Section: Introductionmentioning

confidence: 99%

Optimization Analysis of Meshing Worm Drive Structure with Roller Enveloping Ring Surface

Lui

Geng²

2023

J. Phys.: Conf. Ser.

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Based on the meshing theory of the worm drive with the roller enveloping ring surface and the mathematical model of transmission efficiency of transmission mechanism, the mathematical calculation model of transmission efficiency for simultaneous meshing of multiple teeth has been set up; the geometrical parameters of transmission countershaft, the influence of friction parameters on transmission efficiency of transmission pair have been analyzed. The analysis and optimized results are that the transmission efficiency is negatively correlated with friction parameters and with other structural geometric parameters and positively correlated with the center distance in the structural geometric parameters. Thereinto, friction parameters and throat-neck coefficient have a great influence on transmission efficiency, and the roller radius and center distance have little influence on it. After structure optimization, the transmission efficiency is improved by 3.86% compared with before optimization.

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“…In this article, a six-branch herringbone gearing system for a ship is studied. The calculation methods for stiffness and damping values are detailed by Wang et al 26,32 Table 2 lists the values of the dynamic parameters of the system, as well as the manufacturing and installation errors of each gear. The input speed of the gear Z 1 is 4000 r/min and the input power is 36000 kW.…”

Section: Introductionmentioning

confidence: 99%

Research on load-sharing characteristics of six-branch herringbone gear transmission system

Liu,

Wang,

Zou

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part K:

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With the continuous development of high-speed and high-power gear transmission technology, as well as the new demand for vibration and noise reduction in high-speed and heavy-duty gear transmission systems in fields such as aviation and navigation, the herringbone gear branch transmission system is subject to higher requirements in terms of its dynamic characteristics. Therefore, it is necessary to conduct research on the dynamic characteristics of high-power and high-torque herringbone gear branch transmission systems. Based on the lumped parameter method, a bending-torsion coupling dynamic model of the transmission system is established, and a calculation method for load-sharing coefficients (LSCs) is proposed. The LSCs are obtained for each gear pair in the same meshing period of the transmission system that is under the interaction of time-varying internal excitation. The meshing force of the six-branch gearing system was calculated in ADAMS to verify the validity of the established dynamic model. The study results indicate that errors have a negative impact on the sharing performance. To maintain a sharing coefficient below 1.15, the manufacturing and installation errors of gears Z5 and Z6 should be restricted to 9 µm and 7 µm, respectively. Special attention should be given to gear Z5 in terms of support stiffness, with a value of 1 × 108 N/m being the most favorable. During the system design, the initial phase of the installation error should be considered and preferably selected near 180°. Additionally, the system exhibits easier load sharing with higher input power. The optimal torsional stiffness of the duplex shaft is 5 × 107 N/m, while the optimal bending stiffness is 5 × 108 N/m. This study aimed to provide a theoretical foundation for the design and optimization of marine high-power gear transmission systems.

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Time-varying mesh stiffness analysis of a single-roller enveloping hourglass worm gear

Cited by 8 publications

References 36 publications

Time-varying mesh stiffness calculation for gear pairs with misalignment errors in multiple degrees of freedom based on an analytical method

Time-varying mesh stiffness calculation for gear pairs with misalignment errors in multiple degrees of freedom based on an analytical method

Optimization Analysis of Meshing Worm Drive Structure with Roller Enveloping Ring Surface

Research on load-sharing characteristics of six-branch herringbone gear transmission system

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