A novel tooth surface modification methodology for wide-faced double-helical gear pairs

Yuan, Bing; Li, Geng; Yue, Yanjiong; Liu, Lan; Shen, Yunbo

doi:10.1016/j.mechmachtheory.2021.104299

Cited by 28 publications

(17 citation statements)

References 46 publications

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“…Here, x is 3D modification parameter and F(x) is LTE amplitude calculated by LTCA. 42 C min and C max are minimum and maximum modification amount of tooth profile at tooth root and tooth top. D min and D max are minimum and maximum modification lengths of tooth profile at tooth root and tooth top.…”

Section: Influence Of System Parameters On Nonlinear Dynamic Characte...mentioning

confidence: 99%

“…Under rated load, the Ant Lion Optimizer (ALO) 41 is used to the optimize objective function of the LTE amplitude, which is expressed as Optimization variables: x = false[ y 1 , y 2 , y 3 , y 4 , y 5 , y 7 false] Here, x is 3D modification parameter and F ( x ) is LTE amplitude calculated by LTCA. 42 C m i n and C m a x are minimum and maximum modification amount of tooth profile at tooth root and tooth top. D m i n and D m a x are minimum and maximum modification lengths of tooth profile at tooth root and tooth top.…”

Section: Influence Of System Parameters On Nonlinear Dynamic Characte...mentioning

confidence: 99%

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Study on nonlinear dynamic characteristics of power six-branch herringbone gear transmission system with 3D modification

Wang

2023

Proceedings of the Institution of Mechanical Engineers, Part K:

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The power six-branch herringbone gear transmission system has the advantages of large power transmission and transmission ratio. Because of its multi-way transmission and over-constraint structure, to prevent loaded tooth interference, there are large backlashes between teeth. The system shows complex nonlinear dynamic characteristics under the influence of backlashes, which seriously affects meshing performance. The modification technology can effectively improve gear meshing performance. Hence, on the basis of optimizing meshing performance of the active pair of the six-branch herringbone gear transmission system, this article will combine 3D modification with system nonlinear vibration characteristics and propose an analysis method of the system nonlinear vibration characteristics under 3D modification to reduce vibration and noise. First, the 3D modified tooth surface equation is determined by forming grinding, the loaded transmission error (LTE) of the system's active pair is obtained by tooth contact analysis (TCA) and loaded tooth contact analysis (LTCA) technology, and the optimal modification parameters are obtained by Ant Lion Optimizer (ALO) with the minimum error amplitude as optimization objective. Then, the time-varying meshing stiffness of system under the optimal modification is calculated, and the pure torsional nonlinear dynamic model with backlashes, meshing stiffness, and static transmission error (STE) is established. Finally, the global vibration characteristics in parameter field are studied through time domain and bifurcation diagram of system. Results show that the 3D modification can eliminate edge contact of tooth and improve tooth contact performance. With the increase of input power, the root mean square (RMS) values of acceleration increase and the RMS values and jump decrease after 3D modification. With the increase of input speed, the RMS curves appear multiple resonance peaks and jumps at low input speed. After 3D modification, the RMS, jump, and resonance peak values decrease. Compared with level І, the backlashes and STEs of level II and phase difference ϛsII have great influence on system dynamic characteristics and easily make system in chaotic motion, while the 3D modification reduces their influence and makes system motion periodic.

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Section: Influence Of System Parameters On Nonlinear Dynamic Characte...mentioning

confidence: 99%

Section: Influence Of System Parameters On Nonlinear Dynamic Characte...mentioning

confidence: 99%

Study on nonlinear dynamic characteristics of power six-branch herringbone gear transmission system with 3D modification

Wang

2023

Proceedings of the Institution of Mechanical Engineers, Part K:

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“…Double helical gears are also called herringbone gears, are equivalent to two helical cylindrical gears with equal helix angles and opposite directions joined together at both ends to form [1][2]. Due to its high ability to withstand loads, large transmission ratio, and almost no axial directional force, Double helical gears are often used in heavy-duty, low-noise, high-speed, and high-power transmissions and other fields [3][4][5]. In particular, when the double helical gears are applied to aviation power, ships, military equipment, and other high-precision, low-noise and other heavy machinery transmission system, the double helical gear manufacturing precision has put forward higher requirements.…”

Section: Introductionmentioning

confidence: 99%

Measurement and Evaluation Method Study of Alignment Deviation of Double-helical Gear

Wang

Yadong

Shen

et al. 2023

J. Phys.: Conf. Ser.

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The alignment deviation of the V-vertex of two symmetrically arranged gears with different rotation directions is a unique geometric parameter of double helical gears, which has an important effect on the vibration, noise, and double helical gear service life. Aiming to more accurately represent the manufacturing accuracy of double helical gears and their transmission performance, this paper proposes the meaning of the v-vertex basis the contact line of tooth surface based on the apex characteristics of double helical gears. First, the mathematical model of tooth flank is established based on gear meshing theory. Secondly, a method for measuring and evaluating the alignment deviation of double helical gear v-vertex (full tooth contact line method) is proposed. Eventually, the validity and convenience of the proposed measurement method are verified by the experiment. Experimental results showed that the total alignment deviation of double helical gears evaluated by the full tooth contact line method is 0.0082 mm, which meets the design requirements in Reference 16. This paper provides a new measurement and evaluation method for the comprehensive and accurate evaluation of double helical gears, which has significant implications for the design and manufacture of high-precision double helical gears.

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“…Liu et al (2014) established a dynamic analysis model of a double helical gear transmission shifting process with consideration of a variable friction factor. Considering the deformation of bearing, shaft and housing, Yuan et al (2021) established a multi-objective optimization model of a double helical gear. By employing tooth surface compensation and bias modifications, load distribution of the left and right tooth surfaces of a double helical gear was improved, while the amplitude of the vibration exciting force of the system was reduced.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional static meshing characteristic analysis and vibration reduction design of a double helical gear

Fang

Yin

et al. 2021

JAMDSM

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A novel tooth surface modification methodology for wide-faced double-helical gear pairs

Cited by 28 publications

References 46 publications

Study on nonlinear dynamic characteristics of power six-branch herringbone gear transmission system with 3D modification

Study on nonlinear dynamic characteristics of power six-branch herringbone gear transmission system with 3D modification

Measurement and Evaluation Method Study of Alignment Deviation of Double-helical Gear

Three-dimensional static meshing characteristic analysis and vibration reduction design of a double helical gear

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