Multi-Objective Optimization of Hypoid Gears to Improve Operating Characteristics

Simon, Vilmos V.

doi:10.1007/978-3-030-20131-9_90

Cited by 7 publications

(7 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…If the corresponding normal vector n s → (n sx , n sy , n sz ) of point P s passes through the point P m , the point P s is the closest point from the point P m to the theoretical tooth surface, and the cosine value of the angle between the vectors m → and n s → is 1. In order to find the position of the nearest point P s by searching, eight measured points P i (x i , y i , z i ) (i � 1∼8) around the point P t and their corresponding unit normal vectors n i → (n xi , n yi , n zi ) are selected to form the search region, and the objective function is established as in equation (2). e position of the point P s could be searched by iteratively calculating and comparing the value of the function f of the point…”

Section: Precision Compensation Methods For the Measurement Errors Of mentioning

confidence: 99%

“…Spiral bevel gear is widely used in the field of mechanical transmissions, such as automobile, aviation, wind turbines, and so on. When manufacturing the gear by machine tools, the manufacturing error affects the accuracy of the gear tooth surface and then directly affects the performance of gear transmission efficiency, noise, lifetime, and reliability [1][2][3][4]. In the closed-loop manufacturing system, in order to feedback and adjust the machine tool parameters, the gear tooth surface requires to improve its measuring accuracy.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Compensation Method for Inclination Errors in Measurement Results of Tooth Surface of Spiral Bevel Gear

Liu

Fang

Chen

et al. 2021

Mathematical Problems in Engineering

View full text Add to dashboard Cite

The manufacturing error of spiral bevel gear tooth surface has a great influence on transmission efficiency and gear life. The error of the gear tooth surface needs to be measured accurately and fed back to the machine tool to adjust the parameters. When measuring the spiral bevel gear using a gear measuring machine, combined with the measurement theory of the tooth flank of spiral bevel gear, this paper proposed a method to compensate the inclination error in the measurement result precisely. Based on the iterative search method, a precision matching method for the theoretical and the measured tooth surface of the spiral bevel gear was designed to calculate the compensation results. The experimental results show that the inclination errors included in tooth surface measurement results reduced from more than 3 μm to less than 0.5 μm, and more than 70% of the errors are compensated by the proposed method. The accuracy of the measurement results improved significantly after compensation, and furthermore, it can provide a more accurate basis for the adjustment of machine tool parameters in the manufacturing process.

show abstract

Section: Precision Compensation Methods For the Measurement Errors Of mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Compensation Method for Inclination Errors in Measurement Results of Tooth Surface of Spiral Bevel Gear

Liu

Fang

Chen

et al. 2021

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…where P ower is the transmitted power by the gear pair. The power loss through a mesh cycle, based on Simon 41,42 is as follows…”

Section: The Multi-objective Optimization Modelmentioning

confidence: 99%

Multi-objective optimization of the manufacture of face-milled hypoid gears on numerical controlled machine tool

Simon

2020

Proceedings of the Institution of Mechanical Engineers, Part B:

View full text Add to dashboard Cite

A new method is presented for advanced manufacture of hypoid gears on numerical controlled machine tool. The tool geometry and machine tool settings are determined to introduce the optimal tooth modifications into the teeth of hypoid gears. The goal is to reduce the maximum tooth contact stresses, angular displacement error of the driven gear, and energy losses in the oil film existing between tooth surfaces. The calculation is based on the optimal variation of machine tool settings on the classical machine tool for hypoid gear manufacture. The novelty of the method is that during the machining process of teeth surfaces, the variation of machine tool settings on the cradle-type hypoid generator is conducted by polynomial functions of fifth-order. By an algorithm, this variation of machine tool settings is transferred to the numerical controlled machine tool for hypoid gear manufacture (hypoid generator). The obtained results have shown that by applying the optimal manufacture process, considerable reductions in tooth contact stresses and angular displacement errors of the driven gear, and a moderate reduction in energy losses were obtained. Therefore, by applying this new method in practice, advanced manufacture of hypoid gears on CNC hypoid generator is made possible, resulting improved operating characteristics of the hypoid gear pair.

show abstract

“…It is widely used in automobile, shipbuilding, aerospace, and other fields. [1][2][3][4][5] Because of the manufacturing and assembly errors, there has the deviations between the measured tooth surface and the theoretical tooth surface of gear, especially for the eccentricity and inclination errors. 6,7 These deviations have a great impact on the normal operation of the gears, and need to be compensated.…”

Section: Introductionmentioning

confidence: 99%

A compensation method for the eccentricity and inclination errors of spiral bevel gear based on improved ICP algorithm

Liu

Chen

Fang

2021

Advances in Mechanical Engineering

View full text Add to dashboard Cite

Due to the manufacturing and assembly errors of the spiral bevel gear, the deviations between the measured tooth surface and its theoretical tooth surface will affect the measurement results of the tooth surface. After analyzing the tooth surface deviation of spiral bevel gear, this paper provided a compensation method to compensate the eccentricity and inclination errors by the registration of the theoretical and measured tooth surface. An improved iterative closest point (ICP) algorithm for the registration of the tooth surface was provided. The distance between the point in measured tooth surface and the nearest point in theoretical tooth surface is used to replace the minimum Euclidean distance, and the damping Gauss-Newton method is used to solve the geometric transformation matrix. Simulation experiments were carried out to verify the proposed compensation method. The compensation effect is over 93% for the concave tooth surface and over 89% for the convex tooth surface of the spiral bevel gear. The results also show that the improved ICP algorithm could compensate the eccentricity and inclination errors of the spiral bevel gear more precisely than the basic ICP algorithm.

show abstract

Multi-Objective Optimization of Hypoid Gears to Improve Operating Characteristics

Cited by 7 publications

References 24 publications

Compensation Method for Inclination Errors in Measurement Results of Tooth Surface of Spiral Bevel Gear

Compensation Method for Inclination Errors in Measurement Results of Tooth Surface of Spiral Bevel Gear

Multi-objective optimization of the manufacture of face-milled hypoid gears on numerical controlled machine tool

A compensation method for the eccentricity and inclination errors of spiral bevel gear based on improved ICP algorithm

Contact Info

Product

Resources

About