Finite element modelling and load share analysis for involute worm gears with localized tooth contact

Yang, Fei; Su, Daizhong; Gentle, C. R.

doi:10.1243/0954406011524162

Cited by 12 publications

(17 citation statements)

References 9 publications

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“…Using the finite element models developed, the loaded tooth contact, tooth stiffness, load distribution, bending and contact stresses and transmission errors can be analyzed, for further details, see [8,12].…”

Section: Finite Element Analysismentioning

confidence: 99%

Integration of numerical analysis, virtual simulation and finite element analysis for the optimum design of worm gearing

Su¹,

Qin²

2003

Journal of Materials Processing Technology

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Due to the complicated tooth geometry of worm gears, their design to achieve high capacity and favourable performance is a tedious task, and the optimum design is hardly to obtain. In order to overcome this problem, the authors developed an integrated approach which consists of three modules: numerical analysis, three-dimensional simulation and finite element analysis. It provides a powerful tool for optimum design of worm gears and is a general approach applicable for various types of worm gears. As case studies, two designs using the approach have been conducted, one for cylindrical involute worm gearing and the other for double enveloping worm gearing.

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Section: Finite Element Analysismentioning

confidence: 99%

Integration of numerical analysis, virtual simulation and finite element analysis for the optimum design of worm gearing

Su¹,

Qin²

2003

Journal of Materials Processing Technology

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“…Huangfu et al 4 established a wear prediction model based on the loaded TCA and the simulated wear depth is verified by the experimental results. Yang et al 5 performed the FE modeling and load share analysis for involute worm gears with localized tooth contact. Chen et al 6 analyzed the manufacturing process for internal beveloid gear with linear and nonlinear profile shift coefficient and studied the contact characteristics based on the FE mesh model.…”

Section: Introductionmentioning

confidence: 99%

Numerical study on contact force of paralleled beveloid gears using minimum potential energy theory

Sun

Song

Zhu

et al. 2020

The Journal of Strain Analysis for Engineering Design

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Using minimum potential energy theory and slicing method, a computational approach to calculate the magnitude and distribution of contact force for paralleled beveloid gear pair was proposed in this article. The theoretical tooth contact model was built based on spatial gearing theory to calculate the mesh parameters including the coordinates, normal vectors, and equivalent radius for meshing points. Then, the analytical contact force model of paralleled beveloid gear pair was derived based on minimum potential energy theory. Finite element contact analysis was conducted to verify the proposed model. Finally, the influences of macro-geometry design parameters on the contact force distribution were investigated. Results show that the pressure angle has a limited influence on the contact force distribution. The increase in helix and cone angles will observably increase the asymmetry of contact force distribution as well as the fluctuation of contact force distribution for a single tooth. A good correlation was obtained between the proposed analytical model and the finite element model for the distribution and magnitudes of contact force.

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“…Yang et al. 20 studied the meshing stiffness of worm and worm wheel by finite element method, and the results indicate that the meshing stiffness periodically varies with the rotation of worm and the amplitude of fluctuation depends on the load. Yu et al.…”

Section: Introductionmentioning

confidence: 99%

Effect of tilting angle on the dynamics of tilting table driven by worm and worm wheel

Wei

Zhang

et al. 2014

Proceedings of the Institution of Mechanical Engineers, Part C:

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The dynamics of tilting table behaves differently during five-axis machining due to the constant changes of the position of its center of mass which leads to different forces acting on parts of the transmission system. In this research, the lumped parameter method is used to model the dynamics of tilting table driven by worm and worm wheel in the tilting direction, where the varying stiffness of the transmission system at different tilting angles is considered. The impact testing experiments of tilting table system with tilting angles from 0° to 90° are also performed to verify the analytical model. The results from sensitivity analysis show that the three stiffnesses have a great effect on the variation of system natural frequency in the tilting direction, including the equivalent tangential meshing stiffness of worm and worm wheel, the torsional stiffness of worm wheel shaft, and the axial stiffness of worm supporting bearings. Moreover, the variations of system natural frequency with the three stiffnesses at different tilting angles are further investigated.

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Finite element modelling and load share analysis for involute worm gears with localized tooth contact

Cited by 12 publications

References 9 publications

Integration of numerical analysis, virtual simulation and finite element analysis for the optimum design of worm gearing

Integration of numerical analysis, virtual simulation and finite element analysis for the optimum design of worm gearing

Numerical study on contact force of paralleled beveloid gears using minimum potential energy theory

Effect of tilting angle on the dynamics of tilting table driven by worm and worm wheel

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