A critical review of established methods of structural topology optimization

Rozvany, G. I. N.

doi:10.1007/s00158-007-0217-0

Cited by 888 publications

(405 citation statements)

References 105 publications

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“…A comprehensive treatment of topology optimization can be found in a book by Bendsøe and Sigmund (2004). In-depth reviews and insights can be found in papers by Rozvany (2001Rozvany ( , 2009), Sigmund and Maute (2013), Deaton and Grandhi (2014). In general the subject of this paper falls into the category of design involving uncertainties, known generally as reliability based design optimization (RBDO).…”

Section: Introductionmentioning

confidence: 99%

Fail-safe topology optimization

Zhou

Fleury

2016

Struct Multidisc Optim

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Fail-safe robustness of critical load carrying structures is an important design philosophy for aerospace industry. The basic idea is that a structure should be designed to survive normal loading conditions when partial damage occurred. Such damage is quantified as complete failure of a structural member, or a partial damage of a larger structural part. In the context of topology optimization fail-safe consideration was first proposed by Jansen et al. Struct Multidiscip Optim 49(4):657-666, (2014). While their approach captures the essence of fail-safe requirement, it has two major shortcomings: (1) it involves analysis of a very large number of FEA models at the scale equal to the number of elements; (2) failure was introduced in generic terms and therefore the fundamental aspects of failure test of discrete members was not discussed. This paper aims at establishing a rigorous framework for failsafe topology optimization of general 3D structures, with the goal to develop a computationally viable solution for industrial applications. We demonstrate the effectiveness of the proposed approach on several examples including a 3D example with over three hundred thousand elements.

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Section: Introductionmentioning

confidence: 99%

Fail-safe topology optimization

Zhou

Fleury

2016

Struct Multidisc Optim

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“…ISE topologies are represented using a 0-1 scheme. [16] argues that obtaining solutions with this scheme would be prohibitively expensive. The problem can be avoided by allowing ground elements to have intermediate densities and penalizing them using a power law [2].…”

Section: Results Ii: Design Features Through Superpositionmentioning

confidence: 99%

Temporal Innovization: Evolution of Design Principles Using Multi-objective Optimization

Bandaru

Deb

2015

Lecture Notes in Computer Science

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Abstract. Multi-objective optimization yields multiple solutions each of which is no better or worse than the others when the objectives are conflicting. These solutions lie on the Pareto-optimal front which is a lower-dimensional slice of the objective space. Together, the solutions may possess special properties that make them optimal over other feasible solutions. Innovization is the process of extracting such special properties (or design principles) from a trade-off dataset in the form of mathematical relationships between the variables and objective functions. In this paper, we deal with a closely related concept called temporal innovization. While innovization concerns the design principles obtained from the trade-off front, temporal innovization refers to the evolution of these design principles during the optimization process. Our study indicates that not only do different design principles evolve at different rates, but that they start evolving at different times. We illustrate temporal innovization using several examples.

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“…OptiStruct, Ansys, etc. (Rozvany 2009). As a result SIMP is now used as a design tool in many industries, particularly the aerospace and automotive industries, for example by Ford (Wieloch and Taslim 2004) and EADS (Tomlin and Meyer 2011).…”

Section: Introductionmentioning

confidence: 99%

Application of layout optimization to the design of additively manufactured metallic components

Gilbert

Todd

Derguti

2016

Struct Multidisc Optim

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Additive manufacturing ('3D printing') techniques provide engineers with unprecedented design freedoms, opening up the possibility for stronger and lighter component designs. In this paper 'layout optimization' is used to provide a reference volume and to identify potential design topologies for a given component, providing a useful alternative to continuum based topology optimization approaches (which normally require labour intensive post-processing in order to realise a practical component). Here simple rules are used to automatically transform a line structure layout into a 3D continuum. Two examples are considered: (i) a simple beam component subject to three-point bending; (ii) a more complex air-brake hinge component, designed for the Bloodhound supersonic car. These components were successfully additively manufactured using titanium Ti-6Al-4V, using the Electron Beam Melting (EBM) process. Also, to verify the efficacy of the process and the mechanical performance of the fabricated specimens, a total of 12 beam samples were load tested to failure, demonstrating that the target design load could successfully be met.

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A critical review of established methods of structural topology optimization

Cited by 888 publications

References 105 publications

Fail-safe topology optimization

Fail-safe topology optimization

Temporal Innovization: Evolution of Design Principles Using Multi-objective Optimization

Application of layout optimization to the design of additively manufactured metallic components

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