A Study on Geometry Design of Spiral Bevel Gears based on Conjugate Curves

Bingkui Chen,Dong Liang,Zhaoyang Li 한국정밀공학회 2014 International Journal of Precision Engineering and Vol. No.

A study on geometry design of spiral bevel gears based on conjugate curves is put forward in this paper. According to the theory of conjugate curves, generation principle and mathematical model of spiral bevel gears are developed for a given spiral bevel curve. The meshing equation in the given contact position for conjugate curves is derived. Tubular meshing surfaces contacting along the orientation of designated contact angle are proposed to build up the circular-arc tooth profiles, which inherit all properties of conjugate curves. Numerical example is illustrated for this research including the computerized simulation of three dimensional models and analysis of meshing characteristics. Theoretical and numerical results demonstrate the feasibility and correctness of conjugate curves theory. Compared with general spiral bevel gears, this novel gear is different in the viewpoints of meshing and generation principles. And it is expected to have more excellent transmission performance which will be further studied in future.

Hobbing Manufacturing of New Type of Involute-Helix Gears for Wind Turbine Gearbox

Dong Liang,Bingkui Chen,Yane Gao 한국정밀공학회 2019 International Journal of Precision Engineering and Vol.6 No.2

The involute gears are widely used in the gearbox for wind turbine. To satisfy the requirements of reduction of noise and increase of the endurance of the gear drive, the new type of involute-helix gears, which have the advantages of involute gears and circular arc gears, had been proposed. In this paper, the hobbing cutters of involute-helix gears are designed utilizing the normal section of convex and concave tooth profiles, respectively. Mathematical models of hobbing cutters are established and general products are also manufactured. Using the developed hobbing cutters, the proposed gear pair is manufactured based on the numerical control technology. Combining with the measure method of gear measuring center and the characteristic of the investigated gears, the method of error measurement of special tooth profiles is provided. The further development of special detection software for the gears will be carried out. The results will lay the foundations for the large-scale industrial practice and production applications of gear drive.

Deviation Calculation and Analysis of Tooth Surfaces of Conjugate-Curve Gear Drive

Dong Liang,Bingkui Chen,Shuai Peng,Chengli Hua,Ruijin Liao 한국정밀공학회 2017 International Journal of Precision Engineering and Vol.18 No.5

Conjugate-curve gears are point contact gears and the locus curves of contact points are conjugate curves. For conjugate-curve gear drive, the application of rack cutters may result in geometrical deviation between the theoretical tooth profiles and the generated tooth profiles. To discuss the deviation conditions between two tooth surfaces, generation of theoretical tooth profiles is described and the tooth profiles generated by the rack cutters are derived. General calculation method for the deviation is provided and the analysis of tooth surfaces is also carried out. Numerical examples utilizing the circular-arc curve and parabolic curve are performed, respectively. The obtained results are discussed and the influences of design parameters including the design parameter, helix angle and the radius of pitch circle on the deviation are shown. The summarized contents of this paper are finally present.

Theoretical and Experimental Investigations on Parallel- Axis Gear Transmission with Tubular Meshing Surfaces

Dong Liang,Bingkui Chen,Yane Gao 한국정밀공학회 2015 International Journal of Precision Engineering and Vol. No.

Theoretical and experimental investigations on parallel-axis gears with tubular meshing surfaces are performed in this study. Based on theory of conjugate curves, the parametric design for tubular tooth profiles is provided and solid models are established for motion simulation. Tubular meshing surfaces are evaluated according to geometric and meshing characteristics including undercutting condition, interference with engagement and curvature, calculation of sliding ratios, and successive meshing property. The meshing essence of tubular tooth surfaces is determined. The mechanics properties of tooth surfaces are analyzed using the finite element method. The contact stress, meshing law and deformation analysis of tooth surfaces are presented. The transmission efficiency experiment is based on the developed gear prototype, and a comparison of the prototype with an involute gear drive is provided. Further research on the dynamics analysis and key manufacturing technology will be conducted, and this gear drive is expected to exhibit excellent transmission performance.

Mathematical Model and Tooth Contact Analysis of an Internal Helical Gear Pair with Selectable Contact Path

Shuai Peng,Bingkui Chen,Dong Liang,Lu-he Zhang,Si-ling Qin 한국정밀공학회 2018 International Journal of Precision Engineering and Vol.19 No.6

An internal helical gear pair with point contact pattern based on the space meshing theory is proposed which consists of an involute internal gear and a pinion with quadratic curve profile. Particularly, the contact path of the tooth surface is selectable, which can inherit the characteristic of the surface. Moreover, this type of internal gear pair has lower sensitivity to assembly errors. The generation principle and mathematical model is presented. The motion simulation and adaptability to center distance error of the internal gear pair are discussed. The gear pair is manufactured. Based on the mathematical model and tooth contact analysis (TCA) method, the locations of contact points and kinematic errors are determined under different center distance variation and axial misalignments. The simulated results reveal that the locations of contact points of the gear and pinion change under assembly errors. Little kinematic error occurs under axial misalignment. No edge contact occurs under any assembly error condition. Experiment study is performed and the result is consistent with the theoretical analysis.

Investigation on the semi-conjugate tooth model and disc milling process of logarithmic spiral bevel gears of pure-rolling contact

Rulong Tan,Changyan Peng,Bingkui Chen 대한기계학회 2018 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.32 No.10

Conventional logarithmic spiral bevel gears (LSBGs) introduce full-conjugate surfaces (line contact) to generate teeth of the pinion and the gear. However, in general, these full-conjugate surfaces are constructed by spherical involute curves and it is difficult to manufacture these surfaces. Therefore, this article tries to use semi-conjugate surfaces (point contact) as the tooth profiles to make they can be manufactured by the disc milling process and of pure-rolling contact. The design method, manufacture kinematics and stress distribution situations of the LSBGs with semi-conjugate surfaces are investigated. Conjugate surface theory and spatial conjugate curve meshing theory are both introduced to complete the analytical arguments. Finite element analysis (FEA) is introduced to evaluate the contact mechanical characteristics of the LSBGs under loads. From the analytical and simulated results, it is concluded that, through the disc milling process, the LSBGs of continuous pure-rolling contact can be manufactured and mesh correctly. Besides, the manufactured LSBGs maintain pure-rolling contact approximately when they are under loads.

Mathematical model and meshing analysis of internal meshing gear transmission with curve element

Dong Liang,Weibin Li,Bingkui Chen 대한기계학회 2020 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.34 No.12

A new internal meshing gear transmission with curve element is put forward in this paper. The mathematical principle of tooth profile generation is described based on conjugate curves theory. For a given spatial curve, the meshing equation and its conjugated spatial curve under the motion law were derived. Considering the equidistant kinematic method, general internal tooth profiles models were established by the conjugate-curve pair. Numerical example of the internal gear pair was developed according to gear parameters and gear solid models were established by MATLAB and UG software. Motion simulation result shows that the gear pair satisfies point contact condition and design requirements. Meshing analysis of tooth profiles using FEA method was carried out. Stress analysis results of tooth profiles with single point contact and two points contact were, respectively, obtained. The conclusions lay the foundation for multi-point contact generation and tooth profile design. Also, further studies on transmission characteristics and manufacturing technology of the new gear drive will be carried out.

Design and investigation of a cycloid helical gear drive

Xuan Li,Chaoyang Li,Bingkui Chen,Dong Liang 대한기계학회 2017 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.31 No.9

In this paper, an original analysis of the geometric design of a parallel-axis cycloid helical gear drive and an investigation on its basic meshing characteristics are presented. This type of gear drive consists of a pinion with one tooth and a cycloid-helix gear in continuous line contact along the whole length of the tooth. Firstly, mathematical formulations of their tooth surfaces are derived based on the envelope theory and homogeneous coordinate transformation. Secondly, the undercutting analysis is applied to determine the design constraint to avoid the undercutting on the cycloid-helix gear tooth surface. Then, the meshing characteristics including the contact lines, surface of action, induced normal curvature are analyzed. Numerical example is presented to demonstrate the influence of design parameters on the contact stress distribution. Finally, the loaded tooth contact analysis is performed to simulate the tooth contact condition and to validate the stress distribution by the finite element method.

Meshing performance investigations of involute worm and helical gear drive based on counterpart rack

Binbin Lu,Yonghong Chen,Shi-xuan Li,Bingkui Chen 대한기계학회 2021 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.35 No.8

Due to the involute worm and helical gear drive is different from the parallel shaft helical gear drive and the worm drive, the plane meshing theory and the space enveloping principle cannot be directly applied for this worm drive when the meshing analysis is performed, there has been no good analysis method to accurately calculate the meshing situation. To satisfy the increasing requirements of low-noise and long-lifetime in the service robots and the modern intelligent house systems, especially the intelligent shading system in the modern intelligent house system, a novel meshing performance analysis method is proposed for the involute worm and helical gear drive based on the counterpart rack. By calculating the contact line between the counterpart rack and helical gear and the contact line between the counterpart rack and involute worm, we can get the contact point of involute worm and helical gear finally. This novel meshing performance analysis makes it possible to use the plane meshing theory and the space enveloping principle to analyze involute worm and helical gear drive. The meshing relationship between the involute worm and the counterpart rack, as well as the counterpart rack and the helical gear are presented, and the computational model of contact ratio and contact ellipse are obtained through the counterpart rack. The mathematic model for the instantaneous contact point and contacts trace of the worm drive with different assembly errors is established, and the meshing performances are investigated through the numerical analysis, simulation analysis and performance testing. The results show that this worm drive is insensitively to the assembly errors, and it is beneficial for reducing the vibrationnoise and extending the service life. This theoretical research provides theoretical support for further optimizing the vibration and noise of involute worm and helical gear drive and improving the fatigue life.

New Type of Cycloid Planetary Reducer for Precision Transmission

Jing Zhang(장정),Bingkui Chen(첸빙구아이),Qi Zhang(장기),Jaejun Koo(구재준),Sungki Lyu(류성기) 한국정밀공학회 2009 한국정밀공학회 학술발표대회 논문집 Vol.2009 No.6월