Topology optimization of the primary mirror of a multi-spectral camera

Park, K.S.; Chang, Sung‐Pil; Youn, Sung Kie

doi:10.1007/s00158-002-0271-6

Cited by 36 publications

(11 citation statements)

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“…Nevertheless surprisingly, there is a very little amount of published work dealing with topology optimization using homogenization and density-dependent body forces like self-weight, centrifugal loads, inertia loads, etc. To the authors' knowledge the only published results in topology optimization are Turteltaub and Washabaugh (1999) and Park et al (2003). However taking into account density dependent loads is extremely important for the preliminary design of many structures : the selfweight of large civil engineering structures and the body forces coming from the centrifugal acceleration in rotating machines are indeed dominant effects.…”

Section: Introductionmentioning

confidence: 99%

Note on topology optimization of continuum structures including self-weight

Bruyneel¹,

Duysinx

2004

Struct Multidisc Optim

169

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This paper proposes to investigate topology optimization with density dependent body forces and especially self-weight loading. Surprisingly the solution of such problems can not be based on a direct extension of the solution procedure used for minimum compliance topology optimization with fixed external loads. At first the particular difficulties arising in the considered topology problems are pointed out: non-monotonous behaviour of the compliance, possible unconstrained character of the optimum and parasitic effect for low densities when using the power model (SIMP). To get of rid of the last problem requires to modify the power law model for low densities. The other problems require to revisit the solution procedure and the selection of appropriate structural approximations. Numerical applications compare the efficiency of different approximation schemes of the MMA family. It is shown that important improvements are achieved when the solution is carried out when using the Gradient Based Method of Moving Asymptotes (GBMMA) approximations. Criteria for selecting the approximations are suggested. In addition, the applications are also the opportunity to illustrate the strong influence of the ratio between the applied loads and the structural weight onto the optimal structural topology.

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Section: Introductionmentioning

confidence: 99%

Note on topology optimization of continuum structures including self-weight

Bruyneel¹,

Duysinx

2004

Struct Multidisc Optim

169

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“…Solving optimization problems with self-weight usually require modifications of the standard OC algorithm for statical problems with design independent loads, [2,12]. One related problem is that the sensitivities of the design variables are computed differently than in the case without self-weight.…”

Section: Simply Supported Beam With Self-weightmentioning

confidence: 99%

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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“…In MCMP, an optimization algorithm based on the optimality criteria method developed by Diaz and Kikuchi [12] and Ma et al [13] is used. This algorithm was originally developed for topology optimization of an eigenvalue problem, but has been successfully applied into various kinds of problems including static problems [41,42]. In the optimality criteria-based algorithm [12,13], the objective function and the inequality constraint are approximated by Equations (8) and (9), respectively.…”

Section: Numerical Formulation For Mcmpmentioning

confidence: 99%

Material cloud method for topology optimization

Chang

Youn

2005

Numerical Meth Engineering

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SUMMARYMaterial cloud method (MCM), a new approach for topology optimization, is presented. In MCM, an optimal structure can be obtained by manipulating the sizes and positions of material clouds, which are material patches with finite sizes and constant material densities. The optimal distributions of material clouds can be obtained by MCM using fixed background finite element meshes. In the numerical analysis procedure, only active elements, where more than one material cloud is contained, are treated. Optimal material distribution can be element-wise extracted from the distribution of material clouds. With MCM, an expansion-reduction procedure of design domain can be naturally realized through movements of material clouds, so that a true optimal solution can be found without any significant increase of computational costs. It is also shown that a clear material distribution with narrow region of intermediate density can be obtained with relatively fast convergence. Several numerical examples are shown. Some of the results are compared with those of the traditional density distribution method (DDM).

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Topology optimization of the primary mirror of a multi-spectral camera

Cited by 36 publications

References 0 publications

Note on topology optimization of continuum structures including self-weight

Note on topology optimization of continuum structures including self-weight

A new adaptive penalization scheme for topology optimization

Material cloud method for topology optimization

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