Shape feature control in structural topology optimization

Chen, Shikui; Wang, Michael Yu; Liu, Ai Qun

doi:10.1016/j.cad.2008.07.004

Cited by 97 publications

(41 citation statements)

References 21 publications

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“…Within the level set based method [15], Chen et al [16] use a quadratical energy functional as a penalty term in the objective function, which favors a thin elongated structural layout with length scale in final results. However, the energy functional requires complex geometric information and there is no explicit way to define the exact length scale.…”

Section: Introductionmentioning

confidence: 99%

Minimum length scale in topology optimization by geometric constraints

Zhou

Lazarov

Wang

et al. 2015

Computer Methods in Applied Mechanics and Engineering

306

179

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A density-based topology optimization approach is proposed to design structures with strict minimum length scale. The idea is based on using a filtering-threshold topology optimization scheme and computationally cheap geometric constraints. The constraints are defined over the underlying structural geometry represented by the filtered and physical fields. Satisfying the constraints leads to a design that possesses user-specified minimum length scale. Conventional topology optimization problems can be augmented with the proposed constraints to achieve minimum length scale on the final design. No additional finite element analysis is required for the constrained optimization. Several benchmark examples are presented to show the effectiveness of this approach.

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Section: Introductionmentioning

confidence: 99%

Minimum length scale in topology optimization by geometric constraints

Zhou

Lazarov

Wang

et al. 2015

Computer Methods in Applied Mechanics and Engineering

306

179

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show abstract

“…In [12] the authors imposed a specific geometric feature and in [11], [28] they added an energy functional in the objective function which favors a family of shapes with strip-like features. The results obtained in these papers show significant changes of the optimal shape compared to the one obtained without adding any geometric constraint.…”

Section: Introductionmentioning

confidence: 99%

Thickness control in structural optimization via a level set method

Allaire

Jouve

Michailidis

2016

Struct Multidisc Optim

149

158

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In the context of structural optimization via a level-set method we propose a framework to handle geometric constraints related to a notion of local thickness. The local thickness is calculated using the signed distance function to the shape. We formulate global constraints using integral functionals and compute their shape derivatives. We discuss different strategies and possible approximations to handle the geometric constraints. We implement our approach in two and three space dimensions for a model of linearized elasticity. As can be expected, the resulting optimized shapes are strongly dependent on the initial guesses and on the specific treatment of the constraints since, in particular, some topological changes may be prevented by those constraints.

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“…A consequence of imposing a maximum length scale constraint can also be exploited as a structural redundancy measurement, whereby loads are redistributed and load paths diversified by replacing each large structural member with a number of smaller features [29]. Several methods for imposing maximum length scale constraints have been proposed [29,30].…”

Section: Introductionmentioning

confidence: 99%

Manufacturability evaluation for molded parts using fictitious physical models, and its application in topology optimization

Sato

Yamada

Izui

et al. 2017

Int J Adv Manuf Technol

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Manufacturing methods using molds, such as casting and injection molding, are widely used in industries. A basic requirement when using such manufacturing methods is that design engineers must design products so that they incorporate certain geometrical features that allow the mold parts to be removed from the created solid object. In the present study, we propose a manufacturability evaluation method especially adapted for the use of molds. To evaluate the manufacturability, we introduce fictitious physical models that are described by steady-state anisotropic advectiondiffusion equations. In these fictitious physical models, material domains have a virtual source term and the advection directions are aligned with the directions along which the mold parts are parted. Void regions, where the values of all fictitious physical fields are high, then represent either undercut geometries that would prevent the mold from being released, or interior voids that cannot be cast. Consequently, manufacturability can be evaluated using these fictitious physical fields. Furthermore, in the present study, we integrate this evaluation method with topology optimization and propose a scheme for imposing a molding constraint within the topology optimization procedure. This newly proposed topology optimization method can consider the position of mold parting lines prior to the detailed optimization procedure. Several numerical examples are provided to demonstrate the validity and effectiveness of the proposed method.

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Shape feature control in structural topology optimization

Cited by 97 publications

References 21 publications

Minimum length scale in topology optimization by geometric constraints

Minimum length scale in topology optimization by geometric constraints

Thickness control in structural optimization via a level set method

Manufacturability evaluation for molded parts using fictitious physical models, and its application in topology optimization

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