Fully stressed topological design of structures using an evolutionary
procedure

Hinton, E.; Sienz, Johann

doi:10.1108/02644409510799578

Cited by 88 publications

(56 citation statements)

References 7 publications

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“…In this case, ine cient material is removed from the design domain to allow the emergence of a new topology. The removal process can be achieved by either varying the elastic modulus as a function of the strain energy density as in the hard-kill=soft-kill methods [1] or by deleting from the design domain the space occupied by groups of elements with low strain energy density values as done in ESO technique [2]. This method is an intuitive engineering approach.…”

Section: Introductionmentioning

confidence: 99%

A hybrid topology optimization algorithm for static and vibrating shell structures

Belblidia

Bulman

2002

Numerical Meth Engineering

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SUMMARYStructural designers are reconsidering traditional design procedures using structural optimization techniques. Although shape and sizing optimization techniques have facilitated a great improvement in the emergence of new optimum designs, they are still limited by the fact that a suitable topology must be assumed initially. In this paper a hybrid algorithm entitled constrained adaptive topology optimization, or CATO is introduced. The algorithm, based on an artiÿcial material model and an adaptive updating scheme, combines ideas from the mathematically rigorous homogenization (h) methods and the intuitive evolutionary (e) methods. The algorithm is applied to shell structures under static or free vibration situations. For the static situation, the objective is to produce the sti est structure subject to given loading conditions, boundary conditions and material properties. For the free vibration situation, the objective is to maximize or minimize a chosen frequency. In both cases, a constraint on the structural volume=mass is applied and the optimization process is achieved by redistributing the material through the shell structure. The e ciency of the proposed algorithm is illustrated through several numerical examples of shells under either static or free vibration situations.

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Section: Introductionmentioning

confidence: 99%

A hybrid topology optimization algorithm for static and vibrating shell structures

Belblidia

Bulman

2002

Numerical Meth Engineering

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“…However, the capability for shape optimization remains inherent within any topological optimization process. The two topological optimization methods which have achieved most notable success include the homogenization [4] method, and the evolutionary methods: Hard Kill [5][6][7], Interactive Design Reÿnement [8], and Reverse Adaptivity [9].…”

Section: Topology Optimization Methodsmentioning

confidence: 99%

Evolutionary material translation: a tool for the automatic design of low weight, low stress structures

Reynolds¹,

Christie²,

Bettess

et al. 2000

Numerical Meth Engineering

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“…In the ESO method, inefficient finite elements identified by the sensitivity numbers are slowly removed from the structures to produce optimal designs. Since 1993, extensive studies on ESO have been published in the literature (Xie and Steven 1994;Hinton and Sienz 1995;Chu et al 1996;Xie and Steven 1997;Sienz and Hinton 1997;Guan et al 1999;Kim et al 2000;Rong et al 2000;Li et al 2001a;Steven et al 2002;Li et al 2003). The ESO technique was extended to a bi-directional evolutionary structural optimization (BESO) method, which allows for elements to be removed from the structure as well as to be added to the structure (Querin et al 1998;Yang et al 1999).…”

Section: Introductionmentioning

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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Fully stressed topological design of structures using an evolutionary procedure

Cited by 88 publications

References 7 publications

A hybrid topology optimization algorithm for static and vibrating shell structures

A hybrid topology optimization algorithm for static and vibrating shell structures

Evolutionary material translation: a tool for the automatic design of low weight, low stress structures

Performance-Based Optimization: A Review

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