Novel mathematical modelling method for meshing impact of helical gear

He, Zeyin; Zhang, Tao; Lin, Tengjiao

doi:10.1016/j.mechmachtheory.2020.103949

Cited by 22 publications

(12 citation statements)

References 23 publications

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“…e change trends of the resultant impact force and the angular displacement of the driving wheel are approximately parabolic within half a period. Reference [23] also indicates that the time-varying curve of the impact force shows a parabolic periodic change when studying the nonlinear impact of the gear transmission three-dimensional gap. It is consistent with the changing trends of the impact force, impact velocity, and angular displacement.…”

Section: Meshing Contact Impact Theorymentioning

confidence: 99%

“…For a long time, analytical methods and finite element methods were used to study the dynamic contact characteristics of gears under the impact. For example, He et al [23] present a novel calculation method for accurately determining the meshing impact of helical gears. Hu et al [24] established the dynamic model of the meshing impact considering the contact ratio and obtained meshing stiffness of a single tooth by loaded tooth contact analysis and tooth contact analysis to calculate meshing impact force.…”

Section: Introductionmentioning

confidence: 99%

“…In short, the finite element method provides convenience for the gear dynamic contact research, and it has the characteristics of high efficiency, high reliability, and high precision of research results. So it is widely used in the research of gear dynamic characteristics [23,28], and it provides a method to investigate the meshing contact impact of CATT cylindrical gear transmission.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Meshing Contact Impact Properties of Circular Arc Tooth Trace Cylindrical Gear Based on Rotating Knife Dish Milling Process

Liu

et al. 2021

Mathematical Problems in Engineering

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Taking the circular arc tooth trace (CATT) cylindrical gear as a research object, in order to obtain the CATT cylindrical gear’s meshing contact impact properties, the meshing contact impact hypothesis of the CATT cylindrical gear was put forward based on the contact dynamics theory and gear transmission physical model, and the gear mesh contact impact model was set up further. The finite element solution algorithm for solving the impact problem was given. Then, the accurate 3D model was set up based on the gear tooth surface equation, and the finite element analysis models of the meshing contact impact with different impact positions were established further. The model was to study the distribution rule of the gear surface meshing contact impact stress and relationship between the impact velocity, impact position, and the impact stress. Moreover, the reason for the maximum impact stresses distribution rule of primary and secondary impact tooth surface was discussed. Research result shows the driven wheel dangerous areas of gear root impact are the gear top of the primary impact tooth surface and the gear root of the secondary impact tooth surface; the driven wheel dangerous areas of gear top impact are the gear root of the primary impact tooth surface and gear top of the secondary impact tooth surface; the driven wheel dangerous areas of pitch circle are the gear root and pitch circle of secondary impact tooth surface; and impact velocity and impact position have a major influence on the impact stress. The study results provide a theoretical basis for the dynamic design and industrial application of CATT cylindrical gears.

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Section: Meshing Contact Impact Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Meshing Contact Impact Properties of Circular Arc Tooth Trace Cylindrical Gear Based on Rotating Knife Dish Milling Process

Liu

et al. 2021

Mathematical Problems in Engineering

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“…Gear transmissions are components of propulsion systems commonly used to transform parameters of mechanical energy (torque and speed) between load and drive systems. In other words, gears are applied to fit the values of the rotational speed and mechanical torque of a power source to the required values of their output parameters [1]. Nowadays, in most commonly applied mechanical gears, the power is transmitted by meshing the gear teeth.…”

Section: Introductionmentioning

confidence: 99%

“…The undeniable advantages of mechanical gears are high torque density, efficiency, and ease of manufacture. However, their inherent disadvantages include high noise and vibration levels [1][2][3], friction between teeth [4], as well as a substantial maintenance cost. The use of magnetic forces for the transmission of mechanical power instead of physical contact removes at least some of the unwanted features of mechanical gears.…”

Section: Introductionmentioning

confidence: 99%

Simulation and Experimental Investigation of a Two-Stage Magnetic Precession Gear

2021

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Gears are common and important components of many types of propulsion systems applied in mechanical engineering. The aim of this paper is to present the mechanical design and performance analysis of a novel two-stage magnetic precession gear (MPG). The main advantage of the proposed design is the ability to obtain higher transmission ratios than other currently known magnetic gear types. A detailed analysis of the performance of the MPG was carried out employing a developed numerical model of the magnetic field in the proposed gear. The MPG model is based on the finite element method (FEM) and allows determining the relations between the torque acting on the main components of the gear, load angles, and air-gap lengths. To validate the developed FEM model, the prototype of an MPG with a 1/144 gear ratio was built and tested. The experiments were also focused on determining the mechanical efficiency as well as the influence of rotational speed and lengths of air gaps on the maximum load torque. The tests indicated that the maximum efficiency of the studied MPG is about 30%, which is comparable to the efficiency of mechanical two-stage precession gears with face meshing.

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Study on the Impact Performance of the Joint Cycloid Reducer for Legged Robots

Ji,

Wei,

2023

Lecture Notes in Computer Science

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Novel mathematical modelling method for meshing impact of helical gear

Cited by 22 publications

References 23 publications

Meshing Contact Impact Properties of Circular Arc Tooth Trace Cylindrical Gear Based on Rotating Knife Dish Milling Process

Meshing Contact Impact Properties of Circular Arc Tooth Trace Cylindrical Gear Based on Rotating Knife Dish Milling Process

Simulation and Experimental Investigation of a Two-Stage Magnetic Precession Gear

Study on the Impact Performance of the Joint Cycloid Reducer for Legged Robots

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