Review of formulations for structural and mechanical system optimization

Arora, Jasbir S.; Wang, Q.

doi:10.1007/s00158-004-0509-6

Cited by 150 publications

(68 citation statements)

References 177 publications

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“…Furthermore, the solution tolerance can often be reduced for intermediate optimization steps [11], which is a still widely unexplored area. From a SAND (Simultaneous Analysis and Design [15]) formulation point of view the reduced tolerance for the intermediate solves can be seen as an inexact solves to the saddle point system arising from the formulation. It has been demonstrated in [119] that the SAND formulation leads to a very robust optimization process, however, an effective preconditioners for the saddle point system is necessary to be developed.…”

Section: Computational Costmentioning

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: Computational Costmentioning

confidence: 99%

Length scale and manufacturability in density-based topology optimization

2016

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“…We apply the Nested ANalysis and Design (NAND) approach, see for instance Arora and Wang (2005), to solve the optimization problem that appears in (11).…”

Section: Mathematical Formulation Of the Optimization Problemmentioning

confidence: 99%

DMTO – a method for Discrete Material and Thickness Optimization of laminated composite structures

Sørensen

Lund

2014

Struct Multidisc Optim

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“…, b) ( ) < ( ) for one objective function ( ) at least. The discussions about this concept can be found in detail elsewhere [18,6,5].…”

Section: Multiobjective Strategiesmentioning

confidence: 99%

Robust Optimization Using Reduced-Order Modeling for Non-Linear Static Truss System

Motta¹,

Afonso²

2014

Proceedings of 10th World Congress on Computational Mechanics

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Abstract. In this work a design optimization tool to obtain robust optimum designs of trusses under nonlinear conditions is described and implemented. The robustness measures considered here are the expected value and standard deviation of the function involved in the optimization problem. To calculate such quantities, we employ two nonintrusive uncertainty propagation analysis techniques that exploit deterministic computer models: Monte Carlo (MC) method and Probabilistic Collocation Method (PCM). When using these robustness measures combined, the search of optimal design appears as a robust multi-objective optimization (RMO) problem. To overcome the time consuming problem inherent in a RMO problem a model reduction technique using the proper orthogonal decomposition (POD) method will be employed to provide fast outputs for nonlinear analysis of trusses. A structural sizing optimization (SSO) algorithm incorporating such procedure in the structural and sensitivity stochastic analyses will be used to obtain efficient optimal trusses design. Optimization studies will be conducted for trusses problems considering different loads level, exploring the material plasticity. Comparisons will be conducted with the SSO approach via traditional FEM and via POD.

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Review of formulations for structural and mechanical system optimization

Cited by 150 publications

References 177 publications

Length scale and manufacturability in density-based topology optimization

Length scale and manufacturability in density-based topology optimization

DMTO – a method for Discrete Material and Thickness Optimization of laminated composite structures

Robust Optimization Using Reduced-Order Modeling for Non-Linear Static Truss System

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