基于图论的共轴直升机传动系统的复合轮系设计研究  

Research on Design of Composite Gear Trains for Coaxial Helicopter Transmission Systems Based on Graph Theory

作　　者：何嘉民 陈亚农 安琪 He Jia-min;Chen Ya-nong;An Qi(AECC Hunan Aviation Powerplant Research Institute,Hunan Zhuzhou 412002;Key Laboratory of Aero-Engine Vibration Technology,Aero Engine Corporation of China,Hunan Zhuzhou 412002)

机构地区：[1]中国航发湖南动力机械研究所,湖南株洲412002 [2]中国航空发动机集团航空发动机振动技术重点实验室,湖南株洲412002

出　　处：《内燃机与配件》2025年第4期35-37,共3页Internal Combustion Engine & Parts

摘　　要：针对共轴直升机传动系统中复合轮系构型设计的核心问题,提出了一种基于图论的设计方法。首先,通过归纳现有资料,明确了图论模型的三要素,构建了一种分层的图论模型。其次,建立了复合轮系邻接矩阵的生成方法,并实现了向图论模型的转化。进而,在拓扑反演图论模型的基础上,采用SQP算法(序列二次规划算法)对齿轮参数进行了优化设计。最后,通过实例分析验证了该方法的合理性与有效性。Addressing the core issue of configuration design for compound gear trains in coaxial helicopter transmission systems,this paper presents a design method based on graph theory.Firstly,by summarizing existing literature,we clarify the three essential elements of the graph theory model and construct a hierarchical model accordingly.Secondly,we establish a method for generating adjacency matrices of compound gear trains and implement their transformation into the graph theory model.Furthermore,based on the topological inversion of the graph theory model,we employ the SQP algorithm(Sequential Quadratic Programming)to optimize the design of gear parameters.Finally,the rationality and effectiveness of this method are verified through case studies.

关 键 词：复合轮系 图论模型 共轴直升机 齿轮参数 

分 类 号：V23[航空宇航科学与技术—航空宇航推进理论与工程]