Shape200: A Program to Create Basis Vectors for Shape Optimization Using Solution 200 of MSC/Nastran

Harzheim, Lothar; Graf, Gerhard; Liebers, J.

doi:10.4271/971537

Cited by 7 publications

(2 citation statements)

References 3 publications

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“…If they are not independent, the computation time will increase and the accuracy of the solution will decrease. It is also suggested using orthonormal vectors as basis vectors so that the optimum solution can be found e ciently [9]. Because of these reasons, the generation of basis vectors is a complex and time consuming process.…”

Section: Generation Of Basis Vectorsmentioning

confidence: 99%

A study of thickness optimization of golf club heads to maximize release velocity of balls

Nakai

Sogabe

et al. 2004

Commun. Numer. Meth. Engng.

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SUMMARYIn the present study, the shape optimization of a golf club head is investigated. The problem of maximizing the release velocity of the ball after impact is treated under the constraint of a speciÿed weight of club head. The thickness distribution of the clubface is chosen as the design variable for optimization. The basis vector method, which is an approximating method for optimization problems in which the sensitivity cannot be derived analytically, is employed. The basis vector represents a fundamental change of shape, and it is preferable to obtaining e ective results that the basis vectors be mutually independent. A simple approach to create the basis vectors using eigenmodes is also presented. The theory of impedance matching is conÿrmed numerically by a two-dimensional example. A three-dimensional example is given to show that this approach is e ective for optimal design of the golf club head.

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Section: Generation Of Basis Vectorsmentioning

confidence: 99%

A study of thickness optimization of golf club heads to maximize release velocity of balls

Nakai

Sogabe

et al. 2004

Commun. Numer. Meth. Engng.

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show abstract

“…The geometry variation is done by a specially adapted free form deformation (FFD) technique which already have been applied successfully for fluid flow applications [4,6,18,19]. The numerical flow simulations are performed with the finite-volume flow solver FASTEST which, due to a multi-grid technique and the possibility for parallel computing, allows for a high numerical efficiency [20,21].…”

Section: Introductionmentioning

confidence: 99%

Comparison of derivative free Newton‐based and evolutionary methods for shape optimization of flow problems

Harth

Sun

Schäfer

2006

Numerical Methods in Fluids

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SUMMARYThe object of this study is to investigate two derivative free optimization techniques, i.e. Newton-based method and an evolutionary method for shape optimization of flow geometry problems. The approaches are compared quantitatively with respect to efficiency and quality by using the minimization of the pressure drop of a pipe conjunction which can be considered as a representative test case for a practical threedimensional flow configuration. The comparison is performed by using CONDOR representing derivative free Newton-based techniques and SIMPLIFIED NSGA-II as the representative of evolutionary methods (EM).For the shape variation the computational grid employed by the flow solver is deformed. To do this, the displacement fields are scaled by design variables and added to the initial grid configuration. The displacement vectors are calculated once before the optimization procedure by means of a free form deformation (FFD) technique.The simulation tool employed is a parallel multi-grid flow solver, which uses a fully conservative finite-volume method for the solution of the incompressible Navier-Stokes equations on a non-staggered, cell-centred grid arrangement. For the coupling of pressure and velocity a pressure-correction approach of SIMPLE type is used. The possibility of parallel computing and a multi-grid technique allow for a high numerical efficiency.

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Topologieoptimierung im praktischen Einsatz

Harzheim¹,

Graf²,

Klug³

et al. 1999

ATZ Automobiltech Z

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Shape200: A Program to Create Basis Vectors for Shape Optimization Using Solution 200 of MSC/Nastran

Cited by 7 publications

References 3 publications

A study of thickness optimization of golf club heads to maximize release velocity of balls

A study of thickness optimization of golf club heads to maximize release velocity of balls

Comparison of derivative free Newton‐based and evolutionary methods for shape optimization of flow problems

Topologieoptimierung im praktischen Einsatz

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