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Epicyclic gear train isomorphism determination method based on improved incidence matrix singular value decomposition

A technology of singular value decomposition and epicyclic gear train, which is applied in the field of epicyclic gear train isomorphism determination by improving the singular value decomposition of the correlation matrix, which can solve the problems of invisibility, low accuracy, low efficiency, etc., and achieve the effect of good judgment effect.

Pending Publication Date: 2022-06-03
WUHAN UNIV OF SCI & TECH
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Problems solved by technology

However, the above-mentioned isomorphism determination method has more or less many problems: low efficiency, low accuracy, too one-sided determination and not intuitive enough, etc.

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  • Epicyclic gear train isomorphism determination method based on improved incidence matrix singular value decomposition
  • Epicyclic gear train isomorphism determination method based on improved incidence matrix singular value decomposition
  • Epicyclic gear train isomorphism determination method based on improved incidence matrix singular value decomposition

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Embodiment Construction

[0021] In order to more specifically illustrate the purpose, technical solutions and advantages of the present invention, the present invention will be described in further detail below by referring to the embodiments and accompanying drawings. The embodiments described herein are only illustrative and non-limiting, and the protection scope of the present invention is not limited by these embodiments.

[0022] like figure 1 It is a schematic diagram of the famous Simpson planetary gear train (a kind of epicyclic gear train), and the present invention adopts a two-color topology diagram representation method. Convert the structure diagram to a two-color topology diagram, such as figure 2 As shown, the hollow vertices represent complex hinges, the solid lines represent rotating pairs, and the dashed edges represent gear pairs. The edges adjacent to the hollow vertices are all recorded as the same kinematic pair. Arrange the topology map and number the components and motion p...

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Abstract

The invention discloses an epicyclic gear train isomorphism determination method based on improved incidence matrix singular value decomposition, and the method comprises the steps: extracting basic information of each component and a kinematic pair in an epicyclic gear train through an improved incidence matrix, i.e., a component degree sequence and a kinematic pair degree sequence, and carrying out the preliminary screening through taking the basic information as a basis; the improved incidence matrix can also effectively distinguish composite hinges. And then, extracting a topological connection relationship between the component and the kinematic pair through a matrix singular value decomposition method, judging whether singular values obtained by the two improved incidence matrixes are the same or not, if so, judging that the two epicyclic gear trains are isomorphic, and if not, judging that the two epicyclic gear trains are isomerism. The method is simple and reliable to use and good in effect, and is a novel and effective method for solving isomorphism judgment of the epicyclic gear train.

Description

technical field [0001] The invention relates to the field of mechanism epicyclic gear trains, in particular to an epicyclic gear train isomorphism determination method improved by singular value decomposition of an association matrix. Background technique [0002] As an advanced gear transmission mechanism, the epicyclic gear train has many advantages such as small size, compact structure, large transmission range, strong bearing capacity and low operating noise. , has been more and more widely used. Designing an excellent epicyclic gear train structure can optimize the function of mechanical equipment to a certain extent, which is of great significance to actual production and life. The traditional epicyclic gear train design relies on personal experience and inspiration. Due to the lack of systematicness and inefficiency, a large number of new structures are easily missed in the design process. Mechanism configuration synthesis, as a new innovative mechanism design metho...

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Application Information

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IPC IPC(8): G06F30/20G06F17/16
CPCG06F30/20G06F17/16Y02T90/00
Inventor 周明帅孙伟张祎阳
Owner WUHAN UNIV OF SCI & TECH
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