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Meshing impact model with base pitch error

A meshing and base pitch technology, which is applied to elements with teeth, belts/chains/gears, portable lifting devices, etc., can solve the problem that the meaning and function of the first and second derivatives of the transmission error formula are not given, and there is no in-depth analysis. Problems such as meshing characteristics of gears with base pitch error

Active Publication Date: 2017-08-18
BEIJING UNIV OF TECH
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Problems solved by technology

However, this study did not deeply analyze the meshing characteristics of the gear with base pitch error in the reverse meshing stage, nor did it give the meaning and function of the transmission error formula and its first and second derivatives

Method used

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  • Meshing impact model with base pitch error
  • Meshing impact model with base pitch error
  • Meshing impact model with base pitch error

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Embodiment Construction

[0069] The present invention is described below in conjunction with specific examples:

[0070] Using the number of teeth Z 1 =55 standard spur gear is used as the driving wheel, the number of teeth is Z 2 =25, base pitch error Δf pb Four spur gears of 0, 0.01mm, 0.02mm and 0.03mm are used as driven wheels. The modulus of the driving wheel and the driven wheel is m=2, and the pressure angle of the graduation circle is α=20°. Mesh impact analysis is performed separately.

[0071] (1) Bite impact analysis

[0072] transmission error Angular velocity error Δω 2 , angular acceleration Δε 2 The corresponding error curve is as figure 2 As shown, at the point of engagement impact, the speed of the driven wheel jumps, theoretically producing infinite acceleration, but due to damping and elastic deformation of the contact point, the acceleration cannot be infinite, but a pulse; after that, the driven wheel gradually decelerates to involute meshing. Due to the base joint err...

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Abstract

The invention provides a gear meshing impact model with a base pitch error, which belongs to the technical field of mechanical transmissions. The base pitch error of a gear can lead out-of-line meshing of a gear pair. In an out-of-line meshing section, a circumstance that a contact point on a driving gear moves from a tooth top to a tooth root and a contact point on a driven gear moves from a tooth root to a tooth top can occur, that is a reversal order meshing phenomenon. The invention, by using an angular velocity error model and an angular acceleration error model of a reversal order process, provides an analytic model of the meshing impact led by the gear reversal order meshing phenomenon. A relation function between geometric parameters of the gear and the base pitch error is constructed by doing study on the reversal order meshing phenomenon and analyzing a transmission error curve, an angular velocity error curve and an angular acceleration error curve, so that a batter explanation is provided for the meshing impact to the gear pair.

Description

technical field [0001] The invention relates to a gear meshing impact model with a base joint error, which belongs to the technical field of mechanical transmission. . Background technique [0002] Theoretical gear transmission is an ideal transmission with constant transmission ratio, smooth transition of gear teeth, contact points covering all working tooth surfaces, and constant backlash. However, due to the existence of gear errors, ideal gears do not exist in practice. At present, the kinematic analysis of gear transmission is mostly based on the ideal meshing of error-free gears, but in actual gear transmission, due to the influence of manufacturing errors, installation errors and elastic deformation after loading, the ideal gear will inevitably be changed. The meshing motion process affects the transmission characteristics of the gear pair. [0003] Aiming at the problem of gear pair transmission characteristics, Gong Xingzhen studied and analyzed the influence of ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50F16H55/08
CPCF16H55/08G06F30/17
Inventor 石照耀李珂于渤林家春
Owner BEIJING UNIV OF TECH
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