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Structural and Multidisciplinary Optimization
Published in: Structural and Multidisciplinary Optimization 6/2015

01-06-2015 | EDUCATIONAL ARTICLE

3D interactive topology optimization on hand-held devices

Authors: Morten Nobel-Jørgensen, Niels Aage, Asger Nyman Christiansen, Takeo Igarashi, J. Andreas Bærentzen, Ole Sigmund

Published in: Structural and Multidisciplinary Optimization | Issue 6/2015

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Abstract

This educational paper describes the implementation aspects, user interface design considerations and workflow potential of the recently published TopOpt 3D App. The app solves the standard minimum compliance problem in 3D and allows the user to change design settings interactively at any point in time during the optimization. Apart from its educational nature, the app may point towards future ways of performing industrial design. Instead of the usual geometrize, then model and optimize approach, the geometry now automatically adapts to the varying boundary and loading conditions. The app is freely available for iOS at Apple’s App Store and at http://​www.​topopt.​dtu.​dk/​TopOpt3D for Windows and OSX.
previous article Experiment and multiobjective optimization design of tape-spring hinges

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Footnotes
1
We define interactive update rates to be less than 10 seconds, which is about the limit for keeping the user’s attention (Nielsen 1993).
 
2
The best experience will be achieved using newer devices such as iPhone 5s and iPad Air.
 
3
On iOS and OSX we use the optimized BLAS and LAPACK bundled in the operating system and on Windows we use AMD’s core math library (AMD core math library 2014).
 
Literature
Aage N, Andreassen E, Lazarov B (2014) Topology optimization using PETSc: An easy-to-use, fully parallel, open source topology optimization framework. Structural and Multidisciplinary Optimization, pp 1–8. doi:10.​1007/​s00158-014-1157-0
Aage N, Nobel-Jørgensen M, Andreasen C, Sigmund O (2013) Interactive topology optimization on hand-held devices. Struct Multidiscip Optim 47(1):1–6CrossRef
Bendsøe M, Kikuchi N (1988) Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 71:197–224CrossRef
Bendsøe M, Sigmund O (2003) Topology Optimization: Theory, Methods and Applications. Engineering online library. Springer
Bowman DA, Kruijff E, LaViola JJ Jr, Poupyrev I (2004) 3D User Interfaces: Theory and Practice. Addison-Wesley Professional
Dyn N, Hormann K, Kim SJ, Levin D (2001) Optimizing 3d triangulations using discrete curvature analysis.Mathematical methods for curves and surfaces, pp 135–146
Khan A, Mordatch I, Fitzmaurice G, Matejka J, Kurtenbach G (2008) ViewCube: a 3d orientation indicator and controller. In: Proceedings of the 2008 symposium on Interactive 3D graphics and games. ACM, pp 17–25
Lorensen WE, Cline HE (1987) Marching cubes: A high resolution 3d surface construction algorithm. In: ACM Siggraph Computer Graphics, vol 21. ACM , pp 163–169
Miller RB (1968) Response time in man-computer conversational transactions. In: Proceedings of the December 9-11, 1968, fall joint computer conference, part I. ACM, pp 267–277
Nielsen J (1993) Usability Engineering. Academic Press Inc
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Sigmund O (2001) A 99 line topology optimization code written in Matlab. Structural and Multidisciplinary Optimization (1999), pp 120–127
Tcherniak D, Sigmund O (2001) A web-based topology optimization program. Struct Multidiscip Optim 22(3):179–187CrossRef
Metadata
Title
3D interactive topology optimization on hand-held devices
Authors
Morten Nobel-Jørgensen
Niels Aage
Asger Nyman Christiansen
Takeo Igarashi
J. Andreas Bærentzen
Ole Sigmund
Publication date
01-06-2015
Publisher
Springer Berlin Heidelberg
Published in
Structural and Multidisciplinary Optimization / Issue 6/2015
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-014-1214-8

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