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Bi-directional algebraic graphic statics

Alic, Vedad LU and Åkesson, Daniel LU (2017) In CAD Computer Aided Design 93. p.26-37
Abstract

A pre-existing algebraic graphic statics method is extended to allow for interactive manipulations of the force diagram, from which an updated form diagram is determined. Newton's method is used to solve a set of non-linear equations, and the required Jacobian matrix is derived. Additional geometric constraints on the form diagram are introduced, and methods for improving the robustness of the method are presented. We discuss the implementation of the method as a back-end to an interactive application, and demonstrate the usability of the method in several examples where the qualities of directly manipulating the force diagram are emphasized.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Conceptual design, Force diagram manipulations, Graph theory, Interactive graphic statics, Matrix analysis of structures, Reciprocal figures
in
CAD Computer Aided Design
volume
93
pages
12 pages
publisher
Elsevier
external identifiers
  • scopus:85028995647
ISSN
0010-4485
DOI
10.1016/j.cad.2017.08.003
language
English
LU publication?
yes
id
f236a309-0bc7-4c0e-a68e-84c664969f67
date added to LUP
2017-09-25 13:16:02
date last changed
2018-01-07 12:19:18
@article{f236a309-0bc7-4c0e-a68e-84c664969f67,
  abstract     = {<p>A pre-existing algebraic graphic statics method is extended to allow for interactive manipulations of the force diagram, from which an updated form diagram is determined. Newton's method is used to solve a set of non-linear equations, and the required Jacobian matrix is derived. Additional geometric constraints on the form diagram are introduced, and methods for improving the robustness of the method are presented. We discuss the implementation of the method as a back-end to an interactive application, and demonstrate the usability of the method in several examples where the qualities of directly manipulating the force diagram are emphasized.</p>},
  author       = {Alic, Vedad and Åkesson, Daniel},
  issn         = {0010-4485},
  keyword      = {Conceptual design,Force diagram manipulations,Graph theory,Interactive graphic statics,Matrix analysis of structures,Reciprocal figures},
  language     = {eng},
  month        = {12},
  pages        = {26--37},
  publisher    = {Elsevier},
  series       = {CAD Computer Aided Design},
  title        = {Bi-directional algebraic graphic statics},
  url          = {http://dx.doi.org/10.1016/j.cad.2017.08.003},
  volume       = {93},
  year         = {2017},
}