On various aspects of application of the evolutionary structural optimization method for 2D and 3D continuum structures

Abolbashari, Mohammad Hossein; Keshavarzmanesh, Shadi

doi:10.1016/j.finel.2005.09.004

Cited by 19 publications

(12 citation statements)

References 11 publications

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“…This would suggest that there is an ideal compromise between the extended time the optimization remains in phase 1, and the increased difficulty that an optimization method would have to reach a converged solution. Previous results on optimizing structures for maximum stiffness (Chu et al (1997)) and for even stress distributions (Abolbashari and Keshavarzmanesh (2006)) have found that the final result for 2D structures is not significantly diminished with increasing removal ratios, however, results for the former were all had similar shapes whereas the latter produced similarly performing results with different final shapes. The experience from this paper is that a value of Ω = 2 produced large variations within phase 2 of the optimization.…”

Section: Resultsmentioning

confidence: 86%

Implementing a structural continuity constraint and a halting method for the topology optimization of energy absorbers

Stojanov

Falzon

et al. 2016

Struct Multidisc Optim

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This study investigates topology optimization of energy absorbing structures in which material damage is accounted for in the optimization process. The optimization objective is to design the lightest structures that are able to absorb the required mechanical energy. A structural continuity constraint check is introduced that is able to detect when no feasible load path remains in the finite element model, usually as a result of large scale fracture. This assures that designs do not fail when loaded under the conditions prescribed in the design requirements. This continuity constraint check is automated and requires no intervention from the analyst once the optimization process is initiated. Consequently, the optimization algorithm proceeds towards evolving an energy absorbing structure with the minimum structural mass that is not susceptible to global structural failure. A method is also introduced to determine when the optimization process should halt. The method identifies when the optimization method has plateaued and is no longer likely to provide improved designs if continued for further iterations. This provides the designer with a rational method to determine the necessary time to run the optimization and avoid wasting computational resources on unnecessary iterations. A case study is presented to demonstrate the use of this method.

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Section: Resultsmentioning

confidence: 86%

Implementing a structural continuity constraint and a halting method for the topology optimization of energy absorbers

Stojanov

Falzon

et al. 2016

Struct Multidisc Optim

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“…The termination criterion can be a maximum rejection ratio, a targeted minimum stress, a targeted material removal percentage, or others. As the evolutionary rate is believed to have an impact on the result of the ESO (Abolbashari and Keshavarzmanesh 2006), the author also set the ER at a typical value of 1 % for the current study (Xie and Steven 1997).…”

Section: Design Criterion and The Eso Proceduresmentioning

confidence: 99%

“…A modified rejection ratio for multiple load case ESO was proposed for better results (Hu et al 2012). It was also found that the element size has a significant effect on the history of minimum stresses and on the volume reduction histories as well (Abolbashari and Keshavarzmanesh 2006). Moreover, the optimized shape can be completely changed by a different element size; the choice of the initial rejection ratio (RR i ) and the evolutionary rate (ER) may also have significant impact on the resulting structure topology (Abolbashari and Keshavarzmanesh 2006).…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, the optimized shape can be completely changed by a different element size; the choice of the initial rejection ratio (RR i ) and the evolutionary rate (ER) may also have significant impact on the resulting structure topology (Abolbashari and Keshavarzmanesh 2006). In all, for the classical problems that have been examined using ESO, the optimized results exhibited either identical or very similar topology to what the classical solutions have provided (Xie and Steven 1993;Wang et al 2004;Chu et al 1996;Hu et al 2012;Abolbashari and Keshavarzmanesh 2006). In addition to the ESO method, some popular methods for topology optimization were also developed.…”

Section: Introductionmentioning

confidence: 99%

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Design of the lower chassis of a monorail personal rapid transit (MPRT) car using the evolutionary structural optimization (ESO) method

Li¹

2016

Struct Multidisc Optim

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The Evolutionary Structural Optimization (ESO) procedure was applied to the design of the lower chassis of a monorail personal rapid transit (MPRT) car. As part of the early-stage development effort, ESO was used to identify a good topology of the lower chassis structure, which is effective in material usage, with lowly-stressed material removed. The procedure started with building a three-dimensional finite element model of the topology that occupies the design envelop, and lowly stressed elements were removed step by step during the ESO procedure. Multiple load cases concerning acceleration, deceleration, left turn, and right turn were analyzed separately, and a simple procedure dealing with multiple load cases was adopted. After 14 calculation increments, 80 % of the initial material was removed. The resulting topology reveals a reasonable frame structure with rounded outer corners, triangular cantilever supports, and Michell style beam structures, suitable as a starting reference for the structure design of a MPRT.

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“…It is realized that topology optimization improves performance of a structure greatly [1]. Chiandussi et al applied topology optimization to three dimensional automotive parts [5].…”

Section: Introductionmentioning

confidence: 99%

Application of Topology Optimization to the Tibial Osteotomy Fixation Plates

Kütük

Göv

2013

Applied Bionics and Biomechanics

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Abstract. Application of topology optimization to fixation plates is the main consideration of this paper. The interbody fusion plates are required to give mechanical support to tibia with minimally invasive surgical procedure. Topology optimization is used to obtain fixation plates with possible minimum material usage. Topology optimization is applied to three types of plates which are used in upper tibial osteotomy. Initial design of the plates are first numerically modelled and then investigated for stresses under possible highest load values. The results of the analysis indicated that the plates are very stiff even under high loads. Application of topology optimization to plates yielded minimized weight and material usage while keeping the plates still adequate for possible high load values. It was also revealed that up to 50% of mass could be saved by an optimal implant design.

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On various aspects of application of the evolutionary structural optimization method for 2D and 3D continuum structures

Cited by 19 publications

References 11 publications

Implementing a structural continuity constraint and a halting method for the topology optimization of energy absorbers

Implementing a structural continuity constraint and a halting method for the topology optimization of energy absorbers

Design of the lower chassis of a monorail personal rapid transit (MPRT) car using the evolutionary structural optimization (ESO) method

Application of Topology Optimization to the Tibial Osteotomy Fixation Plates

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