复杂系统相似性原理与相似条件研究

Research on simularity principles and requirements for complex-system

以相似三定理为理论基础的经典相似理论不具有系统概念,难以指导复杂系统的相似设计及模型试验.对此,在分析经典相似理论局限性的基础上,从系统论的角度出发,探讨了复杂系统相似的基本原理和要求,给出了复杂系统相似的层次相似描述,利用定性分析与定量分析相结合的方法,论述了系统在各层次上功能相似、结构相似及两者间固有关系相似的概念,并推导出了三类相似对应的相似条件,从而为复杂系统相似性原理与相似条件研究提供了理论与方法.

Due to the fact that the classical similitude theory based on the three similarity theories does not possess the system concept, it is difficult to direct the similarity design and the model test of complex-system. For solving this issue, the essential limitations of the simularity theory are analyzed. The basic principles and requirements for the similarity of complex-system are advanced from the view point of system theory. The description for hierarchy simularity of complex-system is presented. The concepts of function similarity, structure similarity and similarity of the relationship between function and structure for each hierarchy of the system are expounded, and the similarity requirements for the three different similarity categories of each hierarchy are derived by using a new method which combines the qualitative analysis and the quantitative analysis. Thus, the theory and method for the research of simularity principles and requirements of complex system are established.