摘要
由于传统建模方法缺乏通用性,发展通用建模方法已成为必要.在总结了传统的机电系统数学建模优缺点、引入位移联结、速度联结和加速度联结概念的基础上,提出了适用于非线性机电系统数学建模的通用方法——联结方法.将联结理论从线性系统拓宽于非线性系统,拓展了联结理论.将联结方法与传统的拉格朗日法进行对比,说明了联结方法可避免建模过程中严重偏微分运算的优越性,并从理论上证明了研究结果的可靠性.
The traditional modeling methods for mechatronic systems are discussed. The necessarity to develop a general modeling method is pointed out. The displacement connection object D , the velocity connection object V and the acceleration connection object A are introduced to expand the theory of connection into mathematical modeling of nonlinear mechatronic systems. This paper presents a new general formulation method for mathematical modeling of mechatronic systems, which can be regarded as the improvement and expansion to the theory of connection. This paper also compares the connection approach with the lagrange method to demonstrate the validity and advantage of the connection approach—— avoiding the heary partial differentiation.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
1998年第5期64-68,共5页
Journal of Shanghai Jiaotong University
基金
西安交通大学机械制造系统国家重点实验室开放基金
关键词
机电系统
数学建模
联结理论
非线性
electromechanical system
mathematical modeling
connection approach