悬链线归一化研究  

Normalization of catenary

作　　者：谢菲[1] 孙明珠[1] 

机构地区：[1]天津工业大学理学院,天津300387

出　　处：《南昌教育学院学报》2013年第11期75-76,共2页Journal of Nanchang College of Education

摘　　要：本文首先建立了悬链线重力势能微分方程,接着引入了泛函的概念和欧拉方程,推导出了悬链线方程。然后举了例题对悬链线的参数进行了具体的计算,最后概括出悬链线的两条性质和一个推论,提出了"悬链线方程‘归一化’后,曲线均可重合的观点"。This paper firstly establishes the catenary of gravitational potential energy of differential equation, and then introduces the concept and Euler equation of functional, derived from the catenary equation. Then cite examples on the catenary parameters calculated, finally summarizes the two properties and a corollary of catenary, put forward"the catenary equation 'normalized', curve can be coincidence point.

关 键 词：悬链线方程 泛函 极值 归一化 

分 类 号：O175[理学—数学]