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
UR - https://www.scopus.com/pages/publications/84891353376
U2 - 10.1260/0266-3511.28.3-4.119
DO - 10.1260/0266-3511.28.3-4.119
M3 - Article
SN - 0266-3511
VL - 28
SP - 119
EP - 126
JO - International Journal of Space Structures
JF - International Journal of Space Structures
IS - 3-4
ER -