Generating Smooth Curves in 3 Dimensions by Minimizing Higher Order Strain Energy Measures. Issue 3 (September 2013)

• Record Type: Journal Article
• Authors: Adriaenssens, Sigrid; Malek, Samar; Miki, Masaaki; Williams, Chris J K
• Is Part Of: International journal of space structures. Volume 28:Issue 3/4(2013)
• Page Start: 119
• Page End: 126
• Publication Date: 2013-09
• Subjects: curvature -- torsion -- elastica -- euler spiral -- clothoid -- cornu spiral -- railway transition curve; Space frame structures -- Periodicals; Space (Architecture) -- Periodicals; Space (Architecture); Space frame structures; Periodicals; 624.177
• DOI: 10.1260/0266-3511.28.3-4.119
• Languages: English
• ISSNs: 0956-0599

Abstract

Elastic beams or rods in two and three dimensions produce smooth curves by minimizing the strain energy due to classical Euler-Bernoulli bending and Saint-Venant torsion subject to constraints on the arc length and end positions and orientations. However it is possible to postulate other strain energy measures. In this paper we describe a strain energy measure which is the sum of the square of the rate of change of curvature and the square of the product of the curvature and the Frenet torsion.