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Geometric design method for cross shaft straight-teeth conical gear pair with changeable transmission ratio

A technology of straight bevel gears and variable transmission ratios, applied in transmissions, gear transmissions, belts/chains/gears, etc., can solve the problems of approximation evaluation, short transmission ratio change period, and small transmission ratio change range.

Inactive Publication Date: 2006-03-29
BEIHANG UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

There are two problems with this design concept: one is that the change range of the transmission ratio is too small to overcome the influence of slipping; the other is that the change period of the transmission ratio is too short, which is prone to pulsation and shock
However, the literature does not evaluate the degree of approximation of this research method, so its accuracy and its application prospects in design and manufacturing may be greatly reduced

Method used

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  • Geometric design method for cross shaft straight-teeth conical gear pair with changeable transmission ratio
  • Geometric design method for cross shaft straight-teeth conical gear pair with changeable transmission ratio
  • Geometric design method for cross shaft straight-teeth conical gear pair with changeable transmission ratio

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Effect test

Embodiment 1

[0077] Embodiment 1: Parameter design, solid modeling and rapid prototyping of a pair of non-conical gears Take a non-conical gear pair with an included angle of 60° and satisfy the following transmission relationship as an example: f(θ 1 )=1.1558+0.5795cos(2θ 1 )

[0078] From step (1), the equations of the pitch cone surfaces of the driving and passive wheels can be expressed as:

[0079]

[0080] From step (2), the number of teeth is selected as z=21, the coefficient of addendum height is f=1, the coefficient of backlash is c=0.2, and the die angle is α m = π 20 , The entire nodal surface is convex.

[0081] By numerical calculation in step (3), the pitch cone, tooth top cone and tooth bottom cone curves of the non-conical gear on a certain spherical surface can be obtained (such as Figure 8 ) and tooth profile distribution (such as Figure 9 ).

[0082] From step (4...

Embodiment 2

[0084] Embodiment 2: Parameter design and solid model generation of non-conical gear differential

[0085] Here non-bevel gears are used to design the side gears and planetary gears of the differential. Taking the transmission ratio function relationship of n-stage bevel gears as a reference, and considering the symmetry of the differential mechanism, the side gears are 3-stage bevel gears, and the planetary gears are 2-stage bevel gears (oval gears). The designed transmission ratio relationship is as follows:

[0086] f ( θ 1 ) = 2 3 ( 1 + 2 e cos ( 3 θ 1 ) + e ...

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Abstract

The present invention relates to a variable transmission ratio concurrent axis coniflex gear pair geometrical designing method. Based on spherical engagement theory research said method can implement parameter design of given transmission ratio relationship and concurrent axis coniflex gear pair of interaxial included angle. Tooth profile calculation and solid model creation, and utilizes given transmission relationship and interaxial included angle to define parameter equation of a pair of pitch cone faces and utilizes the kinematics relationship of spherical engagement and CAD software to form non-cone gear solid model. Said non-cone gear pair can simplify existent variable transmission ratio transmission mechanism and can be substituted for combination of several pairs of gear pairs, so that it has extensive universality.

Description

Technical field [0001] The invention relates to a geometric design method of intersecting shaft straight bevel gear pair with variable transmission ratio, which belongs to special gear pair transmission in the field of gear pair transmission. Background technique [0002] In the field of gear pair transmission, a pair of meshing gears is widely used for transmission with a fixed transmission ratio, and for the case of a variable transmission ratio, it belongs to a special gear pair transmission type. For the face gear pair (two gear shafts parallel) variable transmission ratio transmission, there have been relatively mature design methods and processing methods, such as Li Fusheng: Non-circular gears, Machinery Industry Press, 1977, and have been applied in many fields; but As for space gear pair (two gear shafts intersecting or interlaced) variable transmission ratio transmission, people have studied less and the design method is very immature. [0003] The kinematic relat...

Claims

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Application Information

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IPC IPC(8): F16H55/08F16H3/02
Inventor 夏继强耿春明宋江滨王延忠满庆丰邢春香
Owner BEIHANG UNIV
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