Tooth Profile Design for Translational Meshing Motor

2013 ◽  
Vol 365-366 ◽  
pp. 14-18
Author(s):  
Rui Hua Li
Keyword(s):  
Design Method ◽  
Coincidence Degree ◽  
Tooth Profile ◽  
Transmission Ratio ◽  
The Novel ◽  
Pressure Angle ◽  
Involute Gears ◽  
Profile Design ◽  
Center Distance ◽  
Internal Meshing

As the reason for large transmission ratio, small center distance and interference on translational motor body, the design method of involute gear for translational meshing motor was proposed. In order to get appropriate tooth profile parameters, the trail calculation considering the conditions of interference and coincidence degree were applied using the tooth profile parameters calculated from given module, number of teeth, pressure angle and modification coefficient. The internal meshing gears was designed and processed based on proposed method. The novel translational meshing motor using designed involute gears operates successfully and efficiently which testify the validity and feasibility of proposed method.

A Unified Conjugation Theory for Planar Transmission

2010 ◽  
Author(s):  
Huimin Dong ◽  
Kwun-Lon Ting ◽  
Jian Liu ◽  
Delun Wang
Keyword(s):  
General Theory ◽  
Direct Contact ◽  
Tooth Profile ◽  
Transmission Ratio ◽  
Frenet Frame ◽  
Geometric Properties ◽  
Profile Design ◽  
Center Distance

The paper presents a general and versatile model describing the kinematic and geometric properties relating the centrodes, the conjugate curves, and the path of contact in a transmission through direct contact between any bodies. From a prescribed motion transmission and a desired path of contact, the characteristics of the conjugate tooth profiles, such as sliding ratio, tooth curvature, induced tooth curvature, conjugate boundary, and interference can be explicitly expressed even before the tooth profiles are obtained. The model is made possible by expressing the path of contact with the Frenet frame on the centrodes. The paper establishes a general theory suitable for optimal tooth profile design. The model is applicable in situations with constant or various transmission ratio as well as constant or various center distance.

Design Method for Screw Forming Cutter Based on Tooth Profile Composed of Discrete Points

2015 ◽  
Vol 137 (8) ◽  
Author(s):  
Qian Tang ◽  
Yuanxun Zhang ◽  
Zhenwei Jiang ◽  
Di Yan
Keyword(s):  
Interpolation Method ◽  
Design Method ◽  
Spline Interpolation ◽  
Technical Difficulty ◽  
Spatial Location ◽  
Tooth Profile ◽  
Cooperative Motion ◽  
Location Parameters ◽  
Profile Design ◽  
Screw Rotors

The forming method has been widely used for manufacturing screw rotors with helical profile. This paper takes the manufacturing of screws for screw pumps as an example and uses the cubic spline interpolation method to obtain the tooth profile of the screw forming cutter according to the tooth profile at any end section of screws composed of discrete points and based on the principle of gearing mesh. Furthermore, this paper studies the space enveloping and geometric characteristics between the screw and cutter during the manufacturing process, combines the shape of the contact line, which is generated due to the cooperative motion of the machine tool, screw, and cutter, with spatial location parameters, and thus innovatively proposes a design method for the screw forming cutter based on discrete points, namely, the form-position geometric method (FPGM). It can be seen after comparing the proposed method with the principle of gear meshing that the cutter-workpiece enveloping solution model, simplified by the FPGM, can overcome the key technical difficulty, i.e., it is difficult to accurately calculate the cusp of the tooth curve; meanwhile, the proposed method can improve the precision of the cutter tooth profile design. Finally, the feasibility and superiority of FPGM are verified by experiments.

The Impact of Meshing Transmission of Arc Gear by Hobbing Method and Central Distance Error

2011 ◽  
Vol 295-297 ◽  
pp. 2534-2539
Author(s):  
Zhong Yi Ren
Keyword(s):  
Current Literature ◽  
Tooth Profile ◽  
Mesh Point ◽  
Transmission Ratio ◽  
Tooth Surface ◽  
Literature Report ◽  
Surface Equation ◽  
Distance Error ◽  
Pressure Angle ◽  
The Impact

The tooth profile of arc gear is no longer arc after hob process, it’s a section of curve which is similar to the arc. Although there have been confirmed that this curve which is similar to the arc can make sure that the transmission ratio and meshing point of two gears will not change ,pressure angle at the meshing point will certainly change, and there is also no literature report how much this curve has impact on pressure angle. The impact of meshing transmission of arc gear by central distance error researched by current literature is based on arc tooth profile, this study is not suitable for the tooth profile processed by hob, and there is no literature report how much central distance error has impact on transmission ratio, pressure angle and mesh point of arc gear which processed by hob. In this article, the author has work out this problem by use tooth surface equation.

Novel Torus-Involute Gear Transmission

2012 ◽  
Vol 155-156 ◽  
pp. 1050-1055
Author(s):  
Lei Liu ◽  
Zhu Qing Huang
Keyword(s):  
Design Method ◽  
Gear Transmission ◽  
Transmission Ratio ◽  
Gear Drive ◽  
Involute Gear ◽  
Involute Gears ◽  
Shaft Angle

A novel torus-involute gear transmission is presented in this paper. There are two types of tooth profiles for torus-involute gears: convex tooth and concave tooth. Torus-involute gears are non-sensitive to axial misalignments and allow variable shaft angle without meshing interference. Based on revealing of essence for tooth profiles, introducing the parameter t and discretizing this type of gear into tiny linear continuous corrected gears, a design method is proposed. To testify whether the transmission ratio of torus-involute gear transmission is constant, simulation is implemented in commercial codes ADAMS. The computed results show that this novel gear drive can achieve a constant transmission ratio with variable shaft angle.

Research on Tooth Profile Design of Spur Gears Based on Line of Action

2013 ◽  
Vol 631-632 ◽  
pp. 817-823
Author(s):  
Jian Wang ◽  
Liang Hou ◽  
Shan Ming Luo
Keyword(s):  
Mathematical Model ◽  
Design Method ◽  
Tooth Profile ◽  
Spur Gears ◽  
On Line ◽  
Profile Design ◽  
The Mathematical Model

This paper aims to propose a design method for tooth profiles of spur gears based on given line of action. A simplified derivation of the mathematical model of tooth profiles is introduced according to the meshing theory. Tooth profiles of spur gears, using a parabola as line of action, is established. The result shows that it will be better to control the performances of a gear set by specifying the shape of the line of action rather than specifying tooth profiles of mating gear.

Base curves of involute cylindrical gears via Aronhold’s first theorem

2015 ◽  
Vol 230 (7-8) ◽  
pp. 1233-1242 ◽  
Author(s):  
Giorgio Figliolini ◽  
Hellmuth Stachel ◽  
Jorge Angeles
Keyword(s):  
Tooth Profile ◽  
Transmission Ratio ◽  
Cylindrical Gears ◽  
Pressure Angle ◽  
The Subject ◽  
Meshing Gears

The subject of this paper is the synthesis of the base curves of involute cylindrical gears, for uniform and non-uniform transmission ratio, by means of Aronhold’s first theorem and the return circle. The base curves can be generated in several ways, as reported in the literature, but this approach comes from the kinematics fundamentals; it is, thus, more straightforward than the alternatives for the case of non-uniform transmission ratio, which leads to non-circular gears. The base curves of circular and non-circular gears are obtained by intersecting, at each pitch point, the corresponding return circle with the line of action for a given pressure angle. This is possible for involute cylindrical gears since the tooth profile of the rack is represented by a line, and the conjugate profiles of the two meshing gears can be generated by its envelope.

Three-dimensional tooth profile design method of harmonic drive considering the deformation difference of the flexspline

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Yangfan Li ◽  
Yingjie Zhang ◽  
Ning Zhang ◽  
Bingchao Xu
Keyword(s):  
Design Method ◽  
Gear Tooth ◽  
Three Dimensional ◽  
Axial Direction ◽  
Tooth Profile ◽  
Harmonic Drive ◽  
Operating Life ◽  
Content Type ◽  
Gear Teeth ◽  
Profile Design

Purpose This paper aims to improve the meshing effect of the gear teeth. It is recommended to analyze the deformation difference between the inner and outer surfaces of the flexspline. The purpose of this paper is to modify the profile of the flexspline based on the deformation difference to improve the transmission accuracy and operating life of the harmonic drive. Design/methodology/approach In this paper, ring theory is used to calculate the deformation difference of the inner and outer surfaces of the flexspline, and the actual tooth profile of the flexspline is corrected based on the deformation difference. Then, the flexspline is divided into multiple sections along the axial direction, so that the three-dimensional tooth profile of the flexspline is modified to improve the gear tooth meshing effect. Findings This paper proves the effect of the deformation difference between the inner and outer surfaces of the flexspline on the tooth backlash, which affects the transmission accuracy and life of the harmonic drive. It is recommended to modify the tooth profile of the flexspline based on the deformation difference, so as to ensure the tooth meshing effect. Originality/value This paper provides a new way for the optimization of the three-dimensional tooth profile design of the harmonic drive.

scholarly journals A multivariate intersection over union of SiamRPN network for visual tracking

2021 ◽  
Author(s):  
Zhihui Huang ◽  
Huimin Zhao ◽  
Jin Zhan ◽  
Huakang Li
Keyword(s):  
Aspect Ratio ◽  
Visual Tracking ◽  
Target Location ◽  
Coincidence Degree ◽  
Distance Ratio ◽  
Geometric Factors ◽  
Fast Motion ◽  
Definition Of ◽  
Overlap Area ◽  
Center Distance

AbstractSiamPRN algorithm performs well in visual tracking, but it is easy to drift under occlusion and fast motion scenes because it uses $$\ell _1$$ ℓ 1 -smooth loss function to measure the regression location of bounding box. In this paper, we propose a multivariate intersection over union (MIOU) loss in SiamRPN tracking framework. Firstly, MIOU loss includes three geometric factors in regression: the overlap area ratio, the center distance ratio, and the aspect ratio, which can better reflect the coincidence degree of target box and prediction box. Secondly, we improve the definition of aspect ratio loss to avoid gradient explosion, improve the optimization performance of prediction box. Finally, based on SiamPRN tracker, we compared the tracking performance of $$\ell _1$$ ℓ 1 -smooth loss, IOU loss, GIOU loss, DIOU loss, and MIOU loss. Experimental results show that the MIOU loss has better target location regression than other loss functions on the OTB2015 and VOT2016 benchmark, especially for the challenges of occlusion, illumination change and fast motion.

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