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Bi-directional Algebraic Graphic Statics : On Force Diagram Constraints

Alic, Vedad LU ; Åkesson, Daniel LU and Persson, Kent LU (2017) International Association for Shell and Spatial Structures IASS 2017
Abstract
This paper presents a study exploring the capabilities of a new method, described by Åkesson and Alic [1], which extends the capabilities of the algebraic graphic statics method, by Van Mele and Block [11]. The new method extends the algebraic graphic statics method by making it bi-directional i.e. allowing for determination of an updated form diagram by making direct interactive manipulations of the force diagram. In the new method, Newton’s method is used for solving a set of non-linear equations, to find an updated form diagram from given changes in the force diagram. Additional geometric constraints are introduced on the form diagram to obtain desired solutions. The implementation of the method as a back-end to an interactive... (More)
This paper presents a study exploring the capabilities of a new method, described by Åkesson and Alic [1], which extends the capabilities of the algebraic graphic statics method, by Van Mele and Block [11]. The new method extends the algebraic graphic statics method by making it bi-directional i.e. allowing for determination of an updated form diagram by making direct interactive manipulations of the force diagram. In the new method, Newton’s method is used for solving a set of non-linear equations, to find an updated form diagram from given changes in the force diagram. Additional geometric constraints are introduced on the form diagram to obtain desired solutions. The implementation of the method as a back-end to an interactive application is discussed, and the usability of the method is shown in examples where the qualities of directly manipulating the force diagram are discussed. The main part of this paper will supplement Åkesson and Alic [1] by presenting further studies of the application of constraints to the force diagram, and which shapes this leads to in the form diagram. Further, the paper will present how to adapt force and form diagrams for interactive graphical representations suitable for computers. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to conference
publication status
published
subject
keywords
Interactive graphic statics, matrix analysis of structures, graph theory, reciprocal figures, force diagram manipulations, conceptual design
pages
9 pages
conference name
International Association for Shell and Spatial Structures IASS 2017
language
English
LU publication?
yes
id
55bac53e-12f7-442c-b4ff-17ee0b94ae95
alternative location
https://express2.converia.de/frontend/file.php?id=18963&hash=651cd420538e6e960d6329a5df81e685
date added to LUP
2017-09-27 10:26:40
date last changed
2018-02-26 04:00:12
@misc{55bac53e-12f7-442c-b4ff-17ee0b94ae95,
  abstract     = {This paper presents a study exploring the capabilities of a new method, described by Åkesson and Alic [1], which extends the capabilities of the algebraic graphic statics method, by Van Mele and Block [11]. The new method extends the algebraic graphic statics method by making it bi-directional i.e. allowing for determination of an updated form diagram by making direct interactive manipulations of the force diagram. In the new method, Newton’s method is used for solving a set of non-linear equations, to find an updated form diagram from given changes in the force diagram. Additional geometric constraints are introduced on the form diagram to obtain desired solutions. The implementation of the method as a back-end to an interactive application is discussed, and the usability of the method is shown in examples where the qualities of directly manipulating the force diagram are discussed. The main part of this paper will supplement Åkesson and Alic [1] by presenting further studies of the application of constraints to the force diagram, and which shapes this leads to in the form diagram. Further, the paper will present how to adapt force and form diagrams for interactive graphical representations suitable for computers.  },
  author       = {Alic, Vedad and Åkesson, Daniel and Persson, Kent},
  keyword      = {Interactive graphic statics,matrix analysis of structures,graph theory,reciprocal figures,force diagram manipulations,conceptual design},
  language     = {eng},
  pages        = {9},
  title        = {Bi-directional Algebraic Graphic Statics : On Force Diagram Constraints},
  year         = {2017},
}