Study of geometric characteristics of the arc teeth semi-rolled cylindrical gear meshing

Syzrantsev, N Vladimir; Syzrantseva, V Ksenia

doi:10.5937/fme2102367s

Cited by 3 publications

(7 citation statements)

References 25 publications

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“…They also created an algorithm and program for computing the coordinates of the arc tooth meshing active line. The results indicated that in the case of errors in the relative positions of gears and hubs, the geometric characteristics of arc tooth meshing could help calculate its load-bearing capacity and durability [10].…”

Section: Related Workmentioning

confidence: 99%

Optimization of electronic sensors based on the connection structure of double rotors with circular arc end teeth

2024

J. vibroeng.

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To analyze the mechanical performance of the arc end tooth connection structure, the optimization of electronic sensors based on the connection structure of double rotors with circular arc end teeth was studied. By designing and optimizing the structural dimensions of the arc end tooth, the relative position of the grinding wheel and the workpiece was determined, and the optimal electromagnetic actuator size, as well as the number and installation position of the optimized sensors, were obtained. The experimental results showed that the relative error of the rigid vibration mode of the arc end tooth double rotor connection structure was controlled within 10 %. At high speeds, the electromagnetic actuator had a significant control effect on the vibration of the centrifugal machine shaft. It diminished the vibration amplitudes in the X and Y directions by 37.6 % and 30.2 %, respectively. By optimizing the double rotor connection structure with circular end teeth and electronic sensors, effective control of the relative error of rigid vibration modes has been achieved, leading to significant reduction of the centrifugal shaft's vibration at high speeds. In addition, the sensor layout was optimized to enable real-time equipment vibration monitoring, ensuring equipment safety and stability. These achievements not only enhance the mechanical performance of the rotor system, but also provide important guarantees for the stability of the mechanical system.

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Section: Related Workmentioning

confidence: 99%

Optimization of electronic sensors based on the connection structure of double rotors with circular arc end teeth

2024

J. vibroeng.

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“…Поверхность прямого кругового конуса образуется вращением прямолинейной режущей кромки резца, расположенной в плоскости, проходящей через ось резцовой головки, вокруг этой оси. Проекции радиус-вектора производящей поверхности резцовой головки имеют вид [3]:…”

Section: математические модели процесса формообразования главных пове...unclassified

“…-угол наклона режущей кромки относительно оси (угол исходного производящего контура); -расчетный радиус резцовой головки при нарезании колеса. Проекции орта нормали поверхности (1) описываются выражениями [3]:…”

Section: математические модели процесса формообразования главных пове...unclassified

“…С учетом [3,[15][16][17], главная поверхность выпуклой стороны арочного зуба цилиндрического колеса будет выглядеть как представлено ниже:…”

Section: математические модели процесса формообразования главных пове...unclassified

“…Воспользовавшись результатами работ [3,17], представим уравнение станочного зацепления в виде равного нулю скалярного произведения вектора и вектора -вектора-аналога относительной скорости:…”

Section: математические модели процесса формообразования главных пове...unclassified

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Calculation of the geometric and kinematic characteristics of the engagement of the arched teeth of a cylindrical gear with errors in the relative position

Starikov,

Syzrantsev

2023

MEI

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The use of cylindrical gears with arched teeth in the drives of energy-saturated machines (locomotives, final drives of tractors, top drives of drilling rigs, helicopters) makes it possible to multiply the durability of gears compared to spur and helical gears. To date, a dozen and a half different techniques and methods for designing and manufacturing arched teeth of cylindrical wheels have been proposed. Among them, the most promising is the method of cutting arched teeth on CNC machines with circular cutter heads using the running-in method with a single division. The purpose of the article is to implement the construction of mathematical models for the formation of arched teeth on the basis of the theory of spatial gearing and to study the geometric and kinematic characteristics of their gearing under conditions of non-zero errors in the relative position of the wheel and gear in the transmission. The object of study is a cylindrical gear with arched teeth. In the article, dependencies for radius-vectors and unit vectors of the normals of the surfaces of arched teeth of cylindrical wheels are obtained, a mathematical model is developed for calculating the points of contact of arched teeth in engagement in the presence of a misalignment angle, a non-parallelism angle and wheel displacement. On the example of the final transmission of a locomotive, for the first time, the influence of the density of fit of the surfaces of the teeth in engagement on the displacement of the working lines from the average section of the tooth due to errors in the position of the transmission elements was studied for the first time. By calculating the error of the position function in the transmission, the procedure for quantifying its nonconjugacy is considered. It has been established that the geometry of the arched teeth of the method under study, under conditions of deviation of the positions of the transmission elements from the nominal ones, leads to a mismatch of the engagement, the position error function has a sawtooth shape, as a result of which impacts are inevitable when the teeth enter the engagement. Ways are proposed to achieve, within the framework of the considered method of manufacturing arched teeth, an approximate nature of the engagement of the teeth in the gear

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Modeling of Generating Cylindrical Gear Arc Teeth Shaping Processes

Syzrantsev

Starikov

2023

Lecture Notes in Mechanical Engineering

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Study of geometric characteristics of the arc teeth semi-rolled cylindrical gear meshing

Cited by 3 publications

References 25 publications

Optimization of electronic sensors based on the connection structure of double rotors with circular arc end teeth

Optimization of electronic sensors based on the connection structure of double rotors with circular arc end teeth

Calculation of the geometric and kinematic characteristics of the engagement of the arched teeth of a cylindrical gear with errors in the relative position

Modeling of Generating Cylindrical Gear Arc Teeth Shaping Processes

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