Extended optimality in topology design

Rozvany, G. I. N.; Querin, Osvaldo M.; Gáspár, Zsolt; Pomezanski, V.

doi:10.1007/s00158-002-0235-x

Cited by 25 publications

(11 citation statements)

References 19 publications

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“…In order to prevent the optimization algorithm from catching the extreme full or empty domain designs, it is necessary to include an additional constraint to restrict the amount of usable material [19]. Here we use a volume constraint which forces the algorithm to use a certain amount of material in the design domain.…”

Section: Problem Statementmentioning

confidence: 99%

Shape optimization of metallic yielding devices for passive mitigation of seismic energy

Ghabraie

Chan

Huang

et al. 2010

Engineering Structures

130

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Section: Problem Statementmentioning

confidence: 99%

Shape optimization of metallic yielding devices for passive mitigation of seismic energy

Ghabraie

Chan

Huang

et al. 2010

Engineering Structures

130

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“…As a side remark we mention that another possible combination of weight and compliance was suggested by Strömberg [18], based on an idea of Rozvany [13,14]:…”

Section: Special Goal Functionsmentioning

confidence: 99%

Dynamical systems, SIMP, bone remodeling and time dependent loads

Klarbring

Torstenfelt

2011

Struct Multidisc Optim

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The dynamical systems approach to sizing and SIMP topology optimization, introduced in a previous paper, is extended to the case of timevarying loads. A general dynamical system, satisfying a Lyaponov-type descent condition, is derived and specialized to a goal function combining stiffness and mass. For a cyclic time-dependent load it is indicated how, in the limit of short cycles compared to the overall time scale, this can be handled by multiple load cases. Numerical examples, both for a convex and a non-convex case, illustrates the theory.

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“…The performance index can be employed to monitor the optimization process so that the optimum can be identified from the performance index history. Rozvany et al (2002) realized that traditional optimality criteria are not adequate for continuum structures so that they used extended optimality criteria in continuum topology optimization. As reported by Setoodeh et al (2005), the extended optimality criteria are similar to the PBOC proposed by Liang et al (2000a) and .…”

Section: Performance-based Optimality Criteriamentioning

confidence: 99%

Performance-Based Optimization: A Review

Liang

2007

Advances in Structural Engineering

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ABSTRACT:The performance-based optimization (PBO) method has recently been developed for topology design of continuum structures with stress, displacement and mean compliance constraints. The PBO method incorporates the finite element analysis, modern structural optimization theory and performance-based design concepts into a single scheme to automatically generate optimal designs of continuum structures. Performance indices are used to monitor the performance optimization history of topologies while performance-based optimality criteria are employed to identify the optimum from the optimization process. The performance characteristics of a structure in an optimization process are fully captured. The PBO technique allows the designer to tailor the design to a specific performance level required by the owner. This paper reviews the state-of-the-art development of automated performance-based optimal design techniques for topology design of continuum structures.Several practical design examples are provided to demonstrate the effectiveness and validity of the PBO technology as an advanced design tool.

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Extended optimality in topology design

Cited by 25 publications

References 19 publications

Shape optimization of metallic yielding devices for passive mitigation of seismic energy

Shape optimization of metallic yielding devices for passive mitigation of seismic energy

Dynamical systems, SIMP, bone remodeling and time dependent loads

Performance-Based Optimization: A Review

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