基于状态空间的轮系分析统一数字模型

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邱俊,王德伦,马雅丽.基于状态空间的轮系分析统一数字模型[J].,2021,61(1):52-59

基于状态空间的轮系分析统一数字模型

Unified digital model of gear train analysis based on state space

DOI：10.7511/dllgxb202101008

中文关键词:复杂轮系状态空间数字模型数字化分析

英文关键词:complex gear train state space digital model digital analysis

基金项目:国家重点研发计划资助项目(2018YFB2001701).

作者	单位
邱俊,王德伦,马雅丽

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中文摘要:

提出了轮系分析的状态空间方法，建立了基于状态空间的轮系分析统一数字模型．首先定义了轮系基本单元的概念，建立了轮系基本单元状态变换方程，利用状态变换方程表达了轮系基本单元变换规律以及单元之间的邻接关系；然后由轮系状态特征对偶矢量构成轮系状态空间，建立了以状态空间为基础的轮系输入、输出对偶矢量，状态变换矩阵，轮系单元之间的映射关系，形成了轮系状态空间中对偶矢量运算规则与数学运算方法；从而建立了基于状态空间的轮系运动特征、动力特征、结构特征的统一数字模型，可以实现对任意复杂轮系的数字化识别与自动化分析，快速实现在方案设计阶段对大量轮系方案的对比与分析．

英文摘要:

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 input output 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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基于状态空间的轮系分析统一数字模型

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