Generating smooth curves in 3 dimensions by minimizing higher order strain energy measures

Sigrid Adriaenssens, S Malek, M Miki, C J K Williams

Research output: Contribution to journalArticle

1 Citation (Scopus)

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.
LanguageEnglish
Pages119-126
Number of pages8
JournalInternational Journal of Space Structures
Volume28
Issue number3-4
DOIs
StatusPublished - Sep 2013

Fingerprint

torsion
curves
curvature
axioms
energy
rods
arcs
products

Cite this

Generating smooth curves in 3 dimensions by minimizing higher order strain energy measures. / Adriaenssens, Sigrid; Malek, S; Miki, M ; Williams, C J K.

In: International Journal of Space Structures, Vol. 28, No. 3-4, 09.2013, p. 119-126.

Research output: Contribution to journalArticle

@article{aa88cf09a6884de7a10fe8265b4ee121,
title = "Generating smooth curves in 3 dimensions by minimizing higher order strain energy measures",
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.",
author = "Sigrid Adriaenssens and S Malek and M Miki and Williams, {C J K}",
year = "2013",
month = "9",
doi = "10.1260/0266-3511.28.3-4.119",
language = "English",
volume = "28",
pages = "119--126",
journal = "International Journal of Space Structures",
issn = "0266-3511",
publisher = "Multi-Science Publishing Co. Ltd",
number = "3-4",

}

TY - JOUR

T1 - Generating smooth curves in 3 dimensions by minimizing higher order strain energy measures

AU - Adriaenssens, Sigrid

AU - Malek, S

AU - Miki, M

AU - Williams, C J K

PY - 2013/9

Y1 - 2013/9

N2 - 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.

AB - 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.

UR - http://dx.doi.org/10.1260/0266-3511.28.3-4.119

U2 - 10.1260/0266-3511.28.3-4.119

DO - 10.1260/0266-3511.28.3-4.119

M3 - Article

VL - 28

SP - 119

EP - 126

JO - International Journal of Space Structures

T2 - International Journal of Space Structures

JF - International Journal of Space Structures

SN - 0266-3511

IS - 3-4

ER -