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Structural optimization of 3D masonry buildings

Published: 01 November 2012 Publication History

Abstract

In the design of buildings, structural analysis is traditionally performed after the aesthetic design has been determined and has little influence on the overall form. In contrast, this paper presents an approach to guide the form towards a shape that is more structurally sound. Our work is centered on the study of how variations of the geometry might improve structural stability. We define a new measure of structural soundness for masonry buildings as well as cables, and derive its closed-form derivative with respect to the displacement of all the vertices describing the geometry. We start with a gradient descent tool which displaces each vertex along the gradient. We then introduce displacement operators, imposing constraints such as the preservation of orientation or thickness; or setting additional objectives such as volume minimization.

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Published In

cover image ACM Transactions on Graphics
ACM Transactions on Graphics  Volume 31, Issue 6
November 2012
794 pages
ISSN:0730-0301
EISSN:1557-7368
DOI:10.1145/2366145
Issue’s Table of Contents
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Publication History

Published: 01 November 2012
Published in TOG Volume 31, Issue 6

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Author Tags

  1. architecture
  2. optimization
  3. statics
  4. structural stability

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