Thickness filters for gradient based multi-material and thickness optimization of laminated composite structures

Sørensen, René; Lund, Erik

doi:10.1007/s00158-015-1230-3

Cited by 41 publications

(19 citation statements)

References 47 publications

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“…A general overview for applications in the aerospace industry can be found in [170] where the main focus is on the design of thin walled structures with stiffeners [169]. For laminated composites, an optimization formulation can be found in [129]. A machining feature based level set optimization approach is presented in [96].…”

Section: Length Scale In Macro Scale Production Processesmentioning

confidence: 99%

Length scale and manufacturability in density-based topology optimization

2016

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Since its original introduction in structural design, density based topology optimization has been applied to a number of other fields like microelectromechanical systems, photonics, acoustics and fluid mechanics. The methodology has been well accepted in industrial design processes where it can provide competitive designs in terms of cost, materials and functionality under a wide set of constraints. However, the optimized topologies are often considered as conceptual due to loosely defined topologies and the need of post processing. Subsequent amendments can affect the optimized design performance and in many cases can completely destroy the optimality of the solution. Therefore, the goal of this paper is to review recent advancements in obtaining manufacturable topology optimized designs. The focus is on methods for imposing minimum and maximum length scale, and ensuring manufacturable, well defined designs with robust performances. The overview discusses the limitations, the advantages and the associated computational costs. The review is completed with optimized designs for minimum compliance, mechanism design and heat transfer.

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Section: Length Scale In Macro Scale Production Processesmentioning

confidence: 99%

Length scale and manufacturability in density-based topology optimization

2016

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“…If all density variables ρ dl can vary freely during the optimization, the constraints ρ dl ≥ ρ d(l+1) are not sufficient for forcing the optimization algorithm to yield a 0/1 solution. Two different approaches have successfully been applied for circumventing this problem, either using a dedicated move limit strategy or a thickness filter approach as developed in Sørensen and Lund (2015). In this work the move limit strategy described in Sørensen and Lund (2013) and Sørensen et al (2014) combined with a Sequential Linear Programming (SLP) approach is documented.…”

Section: Design Parameterization Using Dmtomentioning

confidence: 99%

Discrete Material and Thickness Optimization of laminated composite structures including failure criteria

Lund

2017

Struct Multidisc Optim

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This work extends the Discrete Material and Thickness Optimization approach to structural optimization problems where strength considerations in the form of failure criteria are taken into account for laminated composite structures. It takes offset in the density approaches applied for stress constrained topology optimization of single-material problems and develops formulations for multi-material topology optimization problems applied for laminated composite structures. The method can be applied for both stressand strain-based failure criteria. The large number of local constraints is reduced by the use of aggregate functions, and the developed approach is demonstrated for optimization problems involving both constant and varying thickness laminated composites.

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“…This has been done for compliance and buckling optimization [49,50]. For this method, also a thickness filter has been implemented to get to physically feasible designs [51]. Thickness optimization for buckling load under uniand bi-axial compression has also been performed.…”

Section: Introductionmentioning

confidence: 99%

Optimal design, manufacturing and testing of non-conventional laminates

Peeters

Irisarri

Groenendijk

et al. 2019

Composite Structures

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Composite materials are finding increasing application, for example in commercial aircraft. Traditionally fiber angles are restricted to 0 • , ±45 • and 90 •. The current work exploits the possibility of using multiple 'non-conventional' laminates where either fiber steering ('variable stiffness'), ply drops ('variable thickness'), or a combination of both is used. This leads to varying mechanical properties which means the load is being redistributed, increasing the overall buckling load. A flat panel of 400 × 600 mm loaded in uni-axial compression is optimized in the current work. As a benchmark a conventional laminate is used. The non-conventional laminates are 15% lighter to emphasize the possible weight savings. Only using variable stiffness or variable thickness is experimentally shown to not be sufficient to match the buckling load of the benchmark panel. However, using a combination of both, a 10% increase in the buckling load was found for a panel that is 15% lighter. This highlights the potential of non-conventional laminates.

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Thickness filters for gradient based multi-material and thickness optimization of laminated composite structures

Cited by 41 publications

References 47 publications

Length scale and manufacturability in density-based topology optimization

Length scale and manufacturability in density-based topology optimization

Discrete Material and Thickness Optimization of laminated composite structures including failure criteria

Optimal design, manufacturing and testing of non-conventional laminates

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