Abstract
Advancements in 3D printers are challenging engineers to design ever more complex, customizable and unique products. This paper presents a method that facilitates design by combining 3D spatial grammars, structural simulation and optimization. The proposed method is generic and illustrated here through the design of wheels for inline skates since they have both aesthetic and functional requirements. A new spatial grammar for wheel spoke design is described that integrates constraints from additive manufacture such that the wheels can be directly fabricated. Next, the necessary adjustments to enable automated FE simulation with invariant boundary conditions are shown. The design selection process during generation is driven by simulated annealing optimization and a spatial grammar specific neighborhood definition is introduced for shape modification. Results presented for the case of the inline skate wheel show promise both in automatically generating many different yet valid concepts and in obtaining a structurally optimized design .
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Antonsson EK, Cagan J (2005) Formal engineering design synthesis. Cambridge University Press, Cambridge
Bendsøe MP, Kikuchi N (1988) Generating optimal topologies in structural design using a homogenization method. Comput Methods Appl Mech Eng 71(2):197–224
Boyer G (2000) Multi durometer wheel for in-line skates. Google Patents
Brackett D, Ashcroft I, Hague R (2011) Topology optimization for additive manufacturing. In: Proceedings of the solid freeform fabrication symposium, Austin, TX
Cagan J, Mitchell WJ (1993) Optimally directed shape generation by shape annealing. Environ Plan B 20:5
Chau MCAHH, Alison M, De Pennington ALAN (2006) Combining evolutionary algorithms and shape grammars to generate branded product design. Design Computing and Cognition’06. Springer, Netherlands, 521–539. http://link.springer.com/chapter/10.1007/978-1-4020-5131-9_27
Chen T, Shea K (2015) Computational design-to-fabrication using spatial grammars: automatically generating printable car wheel design variants. In: Proceedings of the 20th international conference on engineering design, vol 2. Design Society, Glasgow, pp 35–44
Chen T, Fritz S, Shea K (2015) Design for mass customization using additive manufacture: case-study of a balloon-powered car. In: DS 80-4 proceedings of the 20th international conference on engineering design (ICED 15), vol 4: Design for X, Design to X, Milan, Italy, 27–30 Jul 2015
De Boer RW et al (1986) Characteristic stroke mechanics of elite and trained male speed skaters. Int J Sport Biomech 2:175–185
De Boer RW et al (1987a) Biomechanical aspects of push-off techniques in speed skating the curves. Int J Sport Biomech 3(1):69–79
De Boer R et al (1987b) Physiological and biomechanical comparison of roller skating and speed skating on ice. Eur J Appl Physiol 56(5):562–569
De Koning JJ, De Boer RW, De Groot G, Van Ingen Schenau GJ, Koning D, De Boer RW et al (1987) Push-Off force in speed skating. Int J Sport Biomech 3:103–9. http://journals.humankinetics.com/doi/abs/10.1123/ijsb.3.2.103?journalCode=ijsb
Dowsland KA, Thompson JM (2012) Simulated annealing. In: Handbook of Natural Computing. Springer Berlin, Heidelberg, 1623–1655. http://link.springer.com/referenceworkentry/10.1007%2F978-3-540-92910-9_49
Ehrenstein GW, Erhard G (1984) Designing with plastics: a report on the state of the art. Hanser Publishers, Cincinnati
Gibson I, Rosen DW, Stucker B (2010) Additive manufacturing technologies. Springer, Berlin
Giger M, Ermanni P (2005) Development of CFRP racing motorcycle rims using a heuristic evolutionary algorithm approach. Struct Multidiscip Optim 30(1):54–65
Hallihan GM, Cheong H, Shu L (2012) Confirmation and cognitive bias in design cognition. In: ASME 2012 international design engineering technical conferences and computers and information in engineering conference. American Society of Mechanical Engineers
Hoisl F, Shea K (2009) Exploring the integration of spatial grammars and open-source CAD systems. In: DS 58-6: proceedings of ICED 09, the 17th international conference on engineering design, vol 6, Design methods and tools (pt. 2), Palo Alto, CA, USA, 24–27 Aug 2009
Hoisl F, Shea K (2011) An interactive, visual approach to developing and applying parametric three-dimensional spatial grammars. Artif Intell Eng Des Anal Manuf 25(04):333–356
Knight TW (1999) Shape grammars: six types. Environ Plan B 26:15–32
König O (2004) Evolutionary design optimization: tools and applications. Eidgenössische Technische Hochschule [ETH], Zürich. http://e-collection.library.ethz.ch/view/eth:27401
Königseder C, Shea K (2014) Strategies for topologic and parametric rule application in automated design synthesis using graph grammars. In: ASME 2014 international design engineering technical conferences and computers and information in engineering conference. American Society of Mechanical Engineers
Krishnamachari S (2002) Recommended factors of safety and related considerations (167). In: ANTEC-conference proceedings
Krishnamurti R, Stouffs R (1993) Spatial grammars: motivation, comparison, and new results. http://papers.cumincad.org/cgi-bin/works/Show?cb3c
Mascarenhas W, Ahrens C, Ogliari A (2004) Design criteria and safety factors for plastic components design. Mater Des 25(3):257–261
Purcell AT, Gero JS (1996) Design and other types of fixation. Des Stud 17(4):363–383
Reddy G, Cagan J (1995) An improved shape annealing algorithm for truss topology generation. J Mech Des 117(2A):315–321
Rutten D (2010) Evolutionary principles applied to problem solving. In: AAG10 conference, Vienna
Saitou K et al (2005) A survey of structural optimization in mechanical product development. J Comput Inf Sci Eng 5(3):214–226
Schnier T, Gero JS (1996) Learning genetic representations as alternative to hand-coded shape grammars. Artificial Intelligence in Design’96. Springer Netherlands, 39–57. http://link.springer.com/chapter/10.1007/978-94-009-0279-4_3
Shea K, Cagan J (1997) Innovative dome design: applying geodesic patterns with shape annealing. Artif Intell Eng Des Anal Manuf 11(05):379–394
Shea K, Cagan J (1999) The design of novel roof trusses with shape annealing: assessing the ability of a computational method in aiding structural designers with varying design intent. Des Stud 20(1):3–23
Shea K, Cagan J, Fenves SJ (1997) A shape annealing approach to optimal truss design with dynamic grouping of members. J Mech Des 119(3):388–394
Stanković T et al (2015) A generalized optimality criteria method for optimization of additively manufactured multimaterial lattice structures. J Mech Des 137(11):111405
Starling AC, Shea K (2005) A parallel grammar for simulation-driven mechanical design synthesis. In: ASME 2005 international design engineering technical conferences and computers and information in engineering conference. American Society of Mechanical Engineers
Stearns J et al (2006) Understanding the influence of pressure and radial loads on stress and displacement response of a rotating body: the automobile wheel. Int J Rotat Mach. https://www.hindawi.com/journals/ijrm/2006/060193/abs/
Stiny G (1980) Introduction to shape and shape grammars. Environ Plann B 7(3):343–351
Stiny G, Gips J (1971) Shape grammars and the generative specification of painting and sculpture. In: IFIP congress, no. 2
Woodbury R (2010) Elements of parametric design. ISBN-13: 978-0415779876, ISBN-10: 0415779871
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing Switzerland
About this paper
Cite this paper
Zimmermann, L., Chen, T., Shea, K. (2017). Generative Shape Design Using 3D Spatial Grammars, Simulation and Optimization. In: Gero, J. (eds) Design Computing and Cognition '16. Springer, Cham. https://doi.org/10.1007/978-3-319-44989-0_16
Download citation
DOI: https://doi.org/10.1007/978-3-319-44989-0_16
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-44988-3
Online ISBN: 978-3-319-44989-0
eBook Packages: EngineeringEngineering (R0)