Structural shape optimization using msc/nastran and sequential quadratic programming

Holzleitner, L.; Mahmoud, K.G.

doi:10.1016/s0045-7949(98)00179-5

Cited by 18 publications

(7 citation statements)

References 28 publications

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“…This attention is motivated from economical arguments that aim to reduce the cost or increase efficiency, or from ecological arguments for reducing the use of resources. Due to its very general and flexible formulation (Kegl and Brank 2006), structural optimisation is now widely used as a powerful design tool to obtain the optimal design (Bennet and Botkin 1984;Holzleitner and Mahmoud 1999;Lagaros et al 2004).…”

Section: Introductionmentioning

confidence: 99%

Parameter free shape and thickness optimisation considering stress response

Arnout

Firl

Bletzinger

2011

Struct Multidisc Optim

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In the parameter free approach, FE-based data are used as design variables, such as nodal coordinates and nodal thickness. During shape and thickness optimisation, this approach provides much design freedom for a limited modelling effort. Stress results are, however, very sensitive to the local shape changes that can occur during parameter free optimisation. When stress results are used as response function, this irregularity can complicate the optimisation. As a solution, the Kreisselmeier-Steinhauser function for the stresses is introduced as a response function for parameter free shape optimisation. In this function, the local stress results are aggregated to obtain a global measure of stress in a structure. This measure can be used as an objective to reduce the overall stress in the structure or as a constraint to limit the stress in the structure to a maximum allowable value. As a result, the optimal structures are smooth and material efficient. Several examples are presented in this paper to illustrate the use of the parameter free design approach in combination with the stress response function.

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Section: Introductionmentioning

confidence: 99%

Parameter free shape and thickness optimisation considering stress response

Arnout

Firl

Bletzinger

2011

Struct Multidisc Optim

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“…In more recent works, it is more convenient to use a reliable finite element package program for structural analysis [9][10][11][12][13][14][15][16][17]. Yang [9] developed a modular program for the shape optimization of three-dimensional solid structures and used NASTRAN for structural analysis.…”

Section: Introductionmentioning

confidence: 99%

“…Later, the authors extended this work to the shape optimization of structures. They used the shape of structures as a design variable by moving pre-defined grid points on the boundary and updating the mesh according to a piecewise linear field [12].…”

Section: Introductionmentioning

confidence: 99%

Optimum shape design of shell structures

Uysal

Gül

Uzman

2007

Engineering Structures

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“…Direct di erentiation involves the di erentiation of the governing equations to determine derivatives that can be directly substituted into the di erentiated objective function [10]. This approach is usually preferred if the number of design sensitivities is relatively small [11,12]. The MDAVM involves the use of a Lagrangian multiplier (adjoint variable) to incorporate the governing equation as a constraint [13].…”

Section: Introductionmentioning

confidence: 99%

Sensitivity and optimization for shape and non‐linear boundary conditions in thermal boundary elements

Davey¹,

Clark²

2002

Numerical Meth Engineering

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SUMMARYThis paper is concerned with the minimization of functionals of the form (b) where variation of the vector b modiÿes the shape of the domain on which the potential problem,The vector h is dependent on non-linear boundary conditions that are deÿned on the boundary . The method proposed is founded on the material derivative adjoint variable method traditionally used for shape optimization. Attention is restricted to problems where the shape of is described by a boundary element mesh, where nodal co-ordinates are used in the deÿnition of b.Propositions are presented to show how design sensitivities for the modiÿed functional (b) can be derived more readily with knowledge of the form of the adjoint function determined via non-shape variations. The methods developed in the paper are applied to a problem in pressure die casting, where the objective is the determination of cooling channel shapes for optimum cooling. The results of the method are shown to be highly convergent.

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Structural shape optimization using msc/nastran and sequential quadratic programming

Cited by 18 publications

References 28 publications

Parameter free shape and thickness optimisation considering stress response

Parameter free shape and thickness optimisation considering stress response

Optimum shape design of shell structures

Sensitivity and optimization for shape and non‐linear boundary conditions in thermal boundary elements

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