A model construction and measurement method for tooth surface deviation of spiral bevel gear based on a one-dimensional probe

Self Cite

The meshing performance is a significant indicator for evaluating the machining quality of spiral bevel gear. The flank contact accuracy (FCA) and flank geometric accuracy (FGA) are important aspects of meshing performance, and both are indispensable. In the actual production process, due to the lack of professional meshing performance analysis (MPA) software, the flank geometric structure cannot be reflected based on the FCA, and the actual meshing state cannot be reflected by the FGA, which cannot meet the manufacturing requirements of high-quality gear. Therefore, a MPA method for deviation surface of spiral bevel gear is proposed based on the gear measuring center (GMC) using a one-dimensional probe. By constructing the deviation surface, the flank meshing model is established, and the meshing parameters are determined. Aiming at the complexity of solving the meshing model, a method for decreasing the dimension of the meshing equations is proposed by establishing the mathematical relationship between the rotation angle and the normal vector, which improves the solution accuracy of the meshing point. The intersection points of the adjacent transmission error curves are taken as the meshing in and out points, and then the actual position of the contact pattern is accurately determined. The instantaneous contact ellipse is obtained by using the method of a cylindrical surface intercepting the deviation surfaces, which not only simplifies the solution algorithm, but also obtains the contact pattern more in line with the actual situation. Finally, the transmission error and contact pattern are digitally characterized. The experimental results show that the digital and actual patterns have good consistency. Flank geometry and gear meshing are organically linked based on the proposed method, and the actual meshing state can be predicted according to the flank topology deviation, which provides important theoretical support for the improvement of the machining quality and meshing performance of the spiral bevel gear.

Section: Tooth Surface Deviation Acquisitionmentioning

confidence: 99%

“…The specific process of deviation acquisition is referred to in [22], which provides a detailed discussion on it. According to equation ( 2), the tooth surface deviation is expressed as:…”

Section: Tooth Surface Deviation Acquisitionmentioning

confidence: 99%

Section: Experimental Verificationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An analytical method for the meshing performance of deviation surface of spiral bevel gear based on a one-dimensional probe

Li,

Dai,

Zhang

et al. 2023

Self Cite

“…Three-dimensional (3D) measurement technologies can be divided into two categories: contact and non-contact. The contact measurement is driven by a coordinate measuring machine (CMM) or measuring mechanical arm, which is equipped with a measuring probe [1,2]. The probe is equipped with various sensors.…”

Section: Introductionmentioning

confidence: 99%

A smooth surface measurement method by flexible contact using multiple fingers device

Gong,

Li,

Wang

et al. 2024

Contact measurement technology is commonly used for analysis and modeling of three-dimensional (3D) object. This paper presents a contact measurement method, using a claw type probe based on a set of rotary encoders that can flexibly contact objects with efficiently multi-lines scanning. In this paper, a 3D measurement system by flexible contact of multiple fingers was built. The claw probe was set on a coordinate measurement machine. By moving the position of the claw for interpolation detection to improve the sampling rate, higher precision 3D reconstruction was achieved. Also, a compensation algorithm was proposed for this type detector to improve measuring accuracy. In the experiments, two surface models were produced by 3D printing as the test objects. By comparing the designed surface with the reconstructed surface, it is demonstrated that this system can effectively and softly measure smooth surface, like the back of human body, which is valuable for further study and use in rehabilitation massage, apparel design, and etc.

A method combining laser and vision detection for on-line measurement of small modules gears

Yu,

Li,

Sun

et al. 2024

Intelligent production of small modulus powder metallurgy gearing requires rapid and accurate measurement to ensure product quality. Currently, the contact measurement method exemplified by gear measuring centers lack efficiency and require gear mounting reference, which prevent them from meeting the requirements for on-line inspection of small modulus gears. Therefore, an optical method of gears was intensively researched. It combined the advantages of laser and vision inspection, which meet the requirements for accuracy and efficiency in on-line inspection. Based on the measurement principle of the line laser sensor and vision camera, a model of the measurement system was established; a standard block was designed to calibrate the system. The surface data of tooth flank were acquired by laser scanning and evaluated to analyze the accuracy. The result of method was validated by comparison with the gear measurement center. Both are of good agreement. Sufficient experiments verify the feasibility of proposed method for on-line inspection.