Topology Optimization for Frequencies Using an Evolutionary Method

Yang, Xiongwei; Xie, Yi Min; Steven, Grant P.; Querin, Osvaldo M.

doi:10.1061/(asce)0733-9445(1999)125:12(1432)

Cited by 70 publications

(26 citation statements)

References 24 publications

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“…Previous work of ESO/BESO methods on frequency optimization can also be found in several papers [22][23][24]. Due to directly eliminating elements from the design domain, the original hardkill ESO/BESO methods effectively prevent localized vibration modes from occurring.…”

Section: Introductionmentioning

confidence: 99%

Evolutionary topological optimization of vibrating continuum structures for natural frequencies

Huang

Zuo

Xie

2010

Computers & Structures

219

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Section: Introductionmentioning

confidence: 99%

Evolutionary topological optimization of vibrating continuum structures for natural frequencies

Huang

Zuo

Xie

2010

Computers & Structures

219

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“…It follows the same basic principle irrespective of the field of application in that it requires an FE model of the structure, and a fitness or contribution factor (sensitivity index) for each element to decide whether an element should be removed. Due to this universal formulation, variants of the ESO method have been effectively applied to other fields, viz: dynamics and vibration Zhao et al 1996Zhao et al , 1997Yang et al 1999b), buckling (Manickarajah et al 1998(Manickarajah et al , 2000, heat conduction and thermo-elasticity (Li et al 1999a(Li et al , 1999b(Li et al , 2000, and recently in damage tolerance based shape optimisation (Das and Jones 2004a;Das et al 2007). …”

Section: Evolutionary Structural Optimisationmentioning

confidence: 99%

Optimal topology design of industrial structures using an evolutionary algorithm

2011

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The paper demonstrates the application of a modified Evolutionary Structural Optimisation (ESO) algorithm for optimal design of topologies for complex structures. A new approach for adaptively controlling the material elimination and a 'gauss point average stress' is used as the ESO criterion in order to reduce the generation of checkerboard patterns in the resultant optimal topologies. Also, a convergence criterion is used to examine the uniformity of strength throughout a structure. The ESO algorithm is validated by comparing the ESO based solution with the result obtained using another numerical optimisation method (SIMP).The capabilities of ESO for producing an optimal design against a specified strength constraint are illustrated using two industrial design problems, viz: a bulkhead used in an aircraft structure and a sideframe used in a railway freight wagon. It has been shown that topology optimisation using ESO can result in a considerable reduction in the weight of a structure and an optimum material utilisation by generating a uniformly stressed structure. The ESO algorithm was also applied to the shape optimisation of a local geometry of the sideframe to (locally) reduce stress levels. The paper evaluates and establishes the ESO method as a practical tool for optimum topology and subsequent shape design problems for complex industrial structures.

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“…For void regions, the process of adding elements is carried out along the boundary of the solid regions with sensitivity values approximated with the nodal displacements of the neighboring solid elements. Yang et al [9,10] applied the BESO to optimal designs of structural stiffness and natural frequency.…”

Section: Introductionmentioning

confidence: 99%

Validity improvement of evolutionary topology optimization: procedure with element replaceable method

Zhu

Zhang

Bassir

2009

Int. J. Simul. Multidisci. Des. Optim.

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-The aim of this paper is to enhance the validity of existing evolutionary topology optimization procedures. As this hard-killing scheme related to the element sensitivity values may lead to incorrect predictions of inefficient elements to be removed and the value of the objective function becomes sharply deteriorated during the iterations, a check position (CP) control is proposed to prevent the erroneous topology design generated by the rejection criteria of evolutionary methods. For this purpose, we introduce a sort of orthotropic cellular microstructure (OCM) element with moderate pseudodensity that acts as a compromising element between solid element and void OCM element. In this way, all inefficient elements removed previously are automatically replaced with the moderate OCM elements depending upon the deterioration of the objective function. Erroneously removed elements are then identified in the updated finite element model through a direct sensitivity computing of the moderate OCM elements and will be finally recovered by the bi-directional element replacement. Besides, detailed structures with checkerboard patterns are eliminated by controlling the local structural bandwidth with the so-called threshold method. Typical optimization examples of structural compliance and natural frequency that were difficult to tackle are solved by the proposed design procedure. Satisfactory numerical results are obtained.

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Topology Optimization for Frequencies Using an Evolutionary Method

Cited by 70 publications

References 24 publications

Evolutionary topological optimization of vibrating continuum structures for natural frequencies

Evolutionary topological optimization of vibrating continuum structures for natural frequencies

Optimal topology design of industrial structures using an evolutionary algorithm

Validity improvement of evolutionary topology optimization: procedure with element replaceable method

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