Structural parts as quadrics -- elasticity ellipses revisited
Classical Physics
2020-10-09 v2
Abstract
Elasticity ellipses or central ellipses have been long used in graphic statics to capture the elastic behaviour of structural elements. The paper gives a generalisation the concept both in dimensions and in the possibility of degenerate conics / quadrics. The effect of projective transformations of these quadrics is also given, such that the entire mechanical system can be transformed preserving equilibrium and compatibility between its elements.
Cite
@article{arxiv.2010.00938,
title = {Structural parts as quadrics -- elasticity ellipses revisited},
author = {Tamás Baranyai},
journal= {arXiv preprint arXiv:2010.00938},
year = {2020}
}