基于键合图的复杂机电系统动力学相似分析

Dynamic Similarity Analysis of Complex Electromechanical System Based on Bond Graph

以适用于多能域系统建模的键合图为工具,论述了复杂机电系统键合图相似的前提条件,推导出了键合图各要素相似所对应的动力学相似条件,在此基础上,根据基于键合图的模态分析理论,进一步进行了系统模态相似研究,给出了系统频率、振型等主要模态参数的相似关系,从而提出了复杂机电系统动力学相似的键合图分析法。利用该方法既能很容易地导出系统的相似要求,而无需知道各现象的物理方程,又可以实现用简单的单能域模型系统来对多能域原型系统进行动力模型试验和仿真研究,从而为工程中复杂机电系统的动力学相似研究提供了新的方法和思路。所提供的算例表明,该方法在指导复杂机电系统动力学仿真及模型试验时,能快速、简便而又直观地得到系统相似所需满足的相似条件。

The prerequisite condition for the similarity of bond graph of system was explored and the dynamic similarity conditions for the elements of bond graph were derived based on the bond graph which is an effective tool for modeling of system with multi-energy domains. The system mode similarity was further analyzed and studied according to the mode analysis theory based on bond graph, the similarity relations of major modal parameters such as frequency and mode shape were established. Thus, the bond graph method for dynamic similarity analysis of complex electromechanical system was proposed. The similarity requirements for the system can be easily derived without the physical equations and the dynamic model test or simulation of system with multi-energy domains can be achieved by a simple single-domain model system when the new method proposed is utilized in the dynamic similarity analysis, which provides new methods and ideas for the research on dynamic similarity of complex electromechanical system. The example provided shows that the similarity conditions can be derived efficiently and conveniently when the method is utilized to instruct the dynamic simulation and model test of complex electromechanical system.