曲率与曲率圆的应用探讨  

Application of Curvature and Curvature Circle

作　　者：韩艺兵[1] 文生兰[1] 贾瑞玲 

机构地区：[1]信息工程大学基础部,河南 郑州

出　　处：《理论数学》2023年第4期818-823,共6页Pure Mathematics

摘　　要：曲率是高等数学中一个重要的概念,它定量地刻画了曲线的弯曲程度。本文从战斗机飞行转弯的安全性中提出问题,分析引入曲率和曲率圆的概念的必要性,最后探讨了曲率和曲率圆在飞机俯冲转弯的安全性问题和铁路弯道设计安全性问题中的重要应用。Curvature is an important concept in advanced mathematics, which describes the curvature degree of curve quantitatively. In this paper, a question is raised from the safety of flight turning of fighter aircraft, and the necessity of introducing the concept of curvature and curvature circle is analyzed. Finally, the important applications of curvature and curvature circle in the safety problems of aircraft dive turns and railway curve design are discussed.

关 键 词：曲率 曲率圆 飞机转弯安全问题 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]