Topology optimization of compliant mechanisms with multiple materials using a peak function material interpolation scheme

Yin, Luzhong; Ananthasuresh, G. K.

doi:10.1007/s00158-001-0165-z

Cited by 241 publications

(121 citation statements)

References 23 publications

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“…Currently, the most used techniques for topology design of continuum structures using heterogeneous or multiple materials are: 1) Material interpolation schemes (Yin and Ananthasuresh 2001, Huang and Xie 2009, Gao et al 2010, Luo et al 2012, Blasques and Stolpe 2012; 2) Level-set models (Yulin and Xiaoming 2004, Zhuang et al 2007; and 3) Phase-field schemes (Bourdin and Chambolle 2000, Jung and Gea 2006, Zhou and Wang 2007.…”

Section: Topology Design With Multi-materials Techniquesmentioning

confidence: 99%

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Layout optimization of multi-material continuum structures with the isolines topology design method

Querin

Victoria

Díaz

et al. 2014

Engineering Optimization

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ReuseUnless indicated otherwise, fulltext items are protected by copyright with all rights reserved. The copyright exception in section 29 of the Copyright, Designs and Patents Act 1988 allows the making of a single copy solely for the purpose of non-commercial research or private study within the limits of fair dealing. The publisher or other rights-holder may allow further reproduction and re-use of this version -refer to the White Rose Research Online record for this item. Where records identify the publisher as the copyright holder, users can verify any specific terms of use on the publisher's website. TakedownIf you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing eprints@whiterose.ac.uk including the URL of the record and the reason for the withdrawal request. A heterogeneous or multi-material object is one made from different materials which are distributed continuously or discontinuously and where its properties can be adjusted by controlling the material composition, microstructure and geometry of the object. The development of manufacturing technologies such as rapid prototyping can eliminate the high cost of tooling and can offer the possibility to make multi-materials structures. However the ability to design them is not a trivial task and requires the development or modifications of optimization algorithms to take into consideration the different aspects of these problems. This article presents an enhancement to the ITD Osvaldo M. Querin, Mariano Victoria, Concepción Díaz, and Pascual Martí 2 algorithm which allows it to obtain multi-material designs. Four examples of the topology design of 2D continuum structures are presented to demonstrate that the ITD algorithm is an efficient and reliable method to carry out the layout optimization of multimaterial continuum structures.

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Section: Topology Design With Multi-materials Techniquesmentioning

confidence: 99%

“…Yin and Ananthasuresh (2001) proposed a new material interpolation model, called the peak function model. By using the peak function and the optimality criteria method, they synthesized compliant mechanisms with multiple materials with and without the material resource constraint.…”

Section: Introductionmentioning

confidence: 99%

Layout optimization of multi-material continuum structures with the isolines topology design method

Querin

Victoria

Díaz

et al. 2014

Engineering Optimization

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“…A measure commonly used in the topology optimization field of the structural flexibility, is the mutual strain energy, C 2 U 1 , defined as follows (Nishiwaki et al, 2001;Yin and Ananthasuresh, 2001):…”

Section: Stent Cell With Maximum Flexibilitymentioning

confidence: 99%

“…Most papers dealing with the flexible structures topology optimization introduces a lumped stiffness at the point of application of the forces F 1 or F 2 to restrict the flexibility of the structure in the desired direction, (e.g. Nishiwaki et al 2001;Yin and Ananthasuresh 2001).…”

Section: Stent Cell With Maximum Flexibilitymentioning

confidence: 99%

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Application of the topological optimization technique to the stents cells design for angioplasty

Guimarães¹,

Oliveira²,

Duarte³

2008

J. Braz. Soc. Mech. Sci. & Eng.

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Multilevel analysis of elastic morphology: The mantis shrimp's spring

Rosario

Patek

2015

Journal of Morphology

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Spring systems, whether natural or engineered, are composed of compliant and rigid regions. Biological springs are often similar to monolithic structures that distribute compliance and rigidity across the whole system. For example, to confer different amounts of compliance in distinct regions within a single structure, biological systems typically vary regional morphology through thickening or elongation. Here, we analyze the monolithic spring in mantis shrimp (Stomatopoda) raptorial appendages to rapidly acquire or process prey. We quantified the shape of cross-sections of the merus segment of the raptorial appendage. We also examined specific regions of the merus that are hypothesized to either store elastic energy or provide structural support to permit energy storage in other regions of the system. We found that while all mantis shrimp contain thicker ventral bars in distal cross-sections, differences in thickness are more pronounced in high-impact "smasher" mantis shrimp than in the slower-striking "spearer" mantis shrimp. We also found that spearer cross-sections are more circular while those of smashers are more eccentric with elongation along the dorso-ventral axis. The results suggest that the regional thickening of ventral bars provides structural support for resisting spring compression and also reduces flexural stiffness along the system's long axis. This multilevel morphological analysis offers a foundation for understanding the evolution and mechanics of monolithic systems in biology.

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Topology optimization of compliant mechanisms with multiple materials using a peak function material interpolation scheme

Cited by 241 publications

References 23 publications

Layout optimization of multi-material continuum structures with the isolines topology design method

Layout optimization of multi-material continuum structures with the isolines topology design method

Application of the topological optimization technique to the stents cells design for angioplasty

Multilevel analysis of elastic morphology: The mantis shrimp's spring

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