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.
CN114580203APending Publication Date: 2022-06-03WUHAN UNIV OF SCI & TECH
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Patent Information

Authority / Receiving Office
CN · China
Current Assignee / Owner
WUHAN UNIV OF SCI & TECH
Publication Date
2022-06-03

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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.
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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...

Claims

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