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Paper XI.1

Using Symbolic Manipulation for the Geometric Design of Deployable Domes Shaped as Platonic or Archimedean Polyhedra

C. Gantes*, A. Giakoumakis# and P. Vousvounis#

*Department of Civil Engineering, National Technical University of Athens, Athens, Greece
#Department of Civil Engineering, Greek Airforce Academy, Athens, Greece

doi:10.4203/ccp.29.11.1

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C. Gantes, A. Giakoumakis, P. Vousvounis, "Using Symbolic Manipulation for the Geometric Design of Deployable Domes Shaped as Platonic or Archimedean Polyhedra", in B.H.V. Topping, M. Papadrakakis, (Editors), "Advances in Structural Engineering Computing", Civil-Comp Press, Edinburgh, UK, pp 171-185, 1994. doi:10.4203/ccp.29.11.1

Abstract

Deployable structures are prefabricated space frames consisting of straight bars linked together in the factory as a compact bundle, which can then be unfolded into large-span, load bearing structural forms by simple articulation. The specific deployable structures investigated in this study are characterized by being self standing and stress free when fully closed or fully deployed. In order to achieve this behavior, a detailed geometric design is required which consists of deriving and solving sets of highly nonlinear geometric and trigonometric equations. The symbolic manipulation package Mathematica is used herein for the geometric design of spherical deployable structures. This application demonstrates the great potential of symbolic manipulation as a tool for engineering design.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 29 ADVANCES IN STRUCTURAL ENGINEERING COMPUTING Edited by: B.H.V. Topping and M. Papadrakakis Paper XI.1 Using Symbolic Manipulation for the Geometric Design of Deployable Domes Shaped as Platonic or Archimedean Polyhedra C. Gantes, A. Giakoumakis# and P. Vousvounis# Department of Civil Engineering, National Technical University of Athens, Athens, Greece #Department of Civil Engineering, Greek Airforce Academy, Athens, Greece doi:10.4203/ccp.29.11.1 purchase the full-text of this paper Full Bibliographic Reference for this paper C. Gantes, A. Giakoumakis, P. Vousvounis, "Using Symbolic Manipulation for the Geometric Design of Deployable Domes Shaped as Platonic or Archimedean Polyhedra", in B.H.V. Topping, M. Papadrakakis, (Editors), "Advances in Structural Engineering Computing", Civil-Comp Press, Edinburgh, UK, pp 171-185, 1994. doi:10.4203/ccp.29.11.1 Abstract Deployable structures are prefabricated space frames consisting of straight bars linked together in the factory as a compact bundle, which can then be unfolded into large-span, load bearing structural forms by simple articulation. The specific deployable structures investigated in this study are characterized by being self standing and stress free when fully closed or fully deployed. In order to achieve this behavior, a detailed geometric design is required which consists of deriving and solving sets of highly nonlinear geometric and trigonometric equations. The symbolic manipulation package Mathematica is used herein for the geometric design of spherical deployable structures. This application demonstrates the great potential of symbolic manipulation as a tool for engineering design. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £60 +P&P)
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