PLANE-CURVES OF MINIMAL ENERGY

被引：15

作者：

KALLAY, M ^{[1
]}

机构：

[1] ISRAEL AIRCRAFT IND LTD,LOD,ISRAEL

来源：

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE | 1986年 / 12卷 / 03期

关键词：

ELASTICITY - Theory - MATHEMATICAL TECHNIQUES - Geometry - OPTIMIZATION;

D O I：

10.1145/7921.7924

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

The elastic energy of a thin beam is proportional to the length integral of its squared curvature. Minimizing its energy, a constrained beam will assume the curve that minimizes that integral. The problem of finding the plane curve of minimal elastic energy with prescribed endpoints and end-directions was solved by B. K. P. Horn. Here the solution is discussed, given a very short proof, and extended to include a constraint on length.

引用

页码：219 / 222

页数：4