Weight-increasing effect of topology simplification

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

doi:10.1007/s00158-003-0334-3

Cited by 18 publications

(5 citation statements)

References 14 publications

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“…2, we get with the adaptive approach a better compliance with less gray elements. An unwanted effect in this specific test case is the formation of ''chain elements'', which was discussed in [8].…”

Section: Adaptive Penalization Schemementioning

confidence: 98%

“…In [7] has been shown, that the choice of a fixed penalty factor or the type of the continuation scheme has a strong influence on the resulting design. Moreover it has been shown in [8] that a weightincreasing effect can emerge from additional topology constraints. Furthermore the number of iterations for a given convergence norm may also be affected by different penalizations.…”

Section: Introductionmentioning

confidence: 98%

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A new adaptive penalization scheme for topology optimization

Dadalau¹,

Hafla²,

Verl³

2009

Prod. Eng. Res. Devel.

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In the product development process topology optimization can successfully be applied in the early product design stages. In this work a new penalization scheme for the SIMP-method (Solid Isotropic Material with Penalization) is presented. One advantage of the presented method is a linear density-stiffness relationship, which has advantages for self-weight or eigenfrequency problems. The optimization problem is solved through derived optimality criteria (OC), which is also introduced in this paper. The derived OC uses no sensitivities of the optimization function but is equivalent to the classical OC in the case of no penalization. In the case with penalization we present an objective function for the penalty factor. By maximizing the objective function in each iteration, we get an adaptive penalty factor. Numerical experiments show, that the adaptive penalty factor leads to better optimization results then a fixed penalty factor. The presented topology optimization method is implemented in the commercial FEM package ANSYS under the name TopoAD. One useful extension of TopoAD is the concept of ''meta elements'', which is also presented in this paper.

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Section: Adaptive Penalization Schemementioning

confidence: 98%

Section: Introductionmentioning

confidence: 98%

A new adaptive penalization scheme for topology optimization

Dadalau¹,

Hafla²,

Verl³

2009

Prod. Eng. Res. Devel.

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“…For instance, according to Díaz and Sigmund (1995), the checkerboard pattern is directly associated with the finite element method numerical assumptions, which leads to some artificial stiffness. Different approaches lead efficiently with this problem, as the adoption of higherorder finite elements (Díaz and Sigmund, 1995;Sigmund and Petersson, 1998), filtering techniques based on image processing or perimeter control (Sigmund, 2007;Haber et al, 1996) and the employment of modified finite elements (Rozvany et al, 2003;Pomezanski et al, 2005;Poulsen, 2002).…”

Section: Introductionmentioning

confidence: 99%

Checkerboard-free topology optimization for compliance minimization of continuum elastic structures based on the generalized finite-volume theory

Araujo

Lages

Cavalcante

2020

Lat. Am. j. solids struct.

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“…In the last decades, since the landmark paper of Bendsøe and Kikuchi [1], numerical methods for topology optimization of continuum structures have been developed quickly in application [2][3][4]. The classical methods include the homogenization method [5,6], the variable density method (including solid isotropic material with penalization model (SIMP) and rational approximation of material properties (RAMP) interpolation model) [7][8][9][10], evolutionary structural optimization (ESO) [11][12][13], level set method [14][15][16], and so on.…”

Section: Introductionmentioning

confidence: 99%

Plate/shell topological optimization subjected to linear buckling constraints by adopting composite exponential filtering function

Wang

Chen

et al. 2015

Acta Mech. Sin.

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In this paper, a model of topology optimization with linear buckling constraints is established based on an independent and continuous mapping method to minimize the plate/shell structure weight. A composite exponential function (CEF) is selected as filtering functions for element weight, the element stiffness matrix and the element geometric stiffness matrix, which recognize the design variables, and to implement the changing process of design variables from "discrete" to "continuous" and back to "discrete". The buckling constraints are approximated as explicit formulations based on the Taylor expansion and the filtering function. The optimization model is transformed to dual programming and solved by the dual sequence quadratic programming algorithm. Finally, three numerical examples with power function and CEF as filter function are analyzed and discussed to demonstrate the feasibility and efficiency of the proposed method.

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Weight-increasing effect of topology simplification

Cited by 18 publications

References 14 publications

A new adaptive penalization scheme for topology optimization

A new adaptive penalization scheme for topology optimization

Checkerboard-free topology optimization for compliance minimization of continuum elastic structures based on the generalized finite-volume theory

Plate/shell topological optimization subjected to linear buckling constraints by adopting composite exponential filtering function

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