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Indexed by:期刊论文

Date of Publication:2022-06-29

Journal:Journal of Dalian University of Technology

Volume:61

Issue:1

Page Number:52-59

ISSN No.:1000-8608

Key Words:"complex gear train; state space; digital model; digital analysis"

CN No.:21-1117/N

Abstract:The state space method of gear train analysis is proposed,and the unified digital model of gear train analysis based on state space is established.Firstly,the concept of basic element of gear train is defined,and the state transformation equation of basic gear train unit is established.The state transformation equation expresses the transformation law of the basic gear train unit and the adjacency relationship between the units.Then,the state space of the gear train is composed of the dual vectors, which describe the state characteristics of the gear train unit.The mapping relations among the inputoutput dual vectors,the state transformation matrix and the gear train unit are established based on the state space.The dual vector operation rules and mathematical operation methods in gear train state space are formed.Thus,a unified digital model based on the state space for the kinematic,dynamic and structural characteristics of the gear train is established.It can realize the digital recognition and automatic analysis of any complex gear train,also can quickly realize the comparison and analysis of a large number of gear train schemes in the scheme design stage.

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