By Jan Blachut, Hans A. Eschenauer
This quantity presents an up to date evaluation of significant advances, rising tendencies, and projected commercial functions within the box of multidisciplinary optimization. It concentrates at the present prestige of the sector, exposes commonalities, cutting edge, promising, and speculative equipment. This ebook presents a view of today’s multidisciplinary optimization setting via a balenced theoretical and sensible remedy. The participants are the key professionals in each one sector of specialisation.
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Extra info for Emerging Methods for Multidisciplinary Optimization
In each iteration, the holes and the existing variable boundaries ofthe continuous body are simultaneously subjected to a shape optimization procedure, see Eschenauer and Schumacher (1993a,b ), Eschenauer et al. (1994 ). • Emerging methods as optimization algorithms a) Use of special methods for solving MOO-problems The "Three-Columns-Concept" according to Fig. 6 shows two classes of optimization algorithms, the Mathematical Programming (MP)- or Optimality Criteria (OC)-Methods on the one hand, and special methods like Design-of-Experiments (DOE)-Method, Response Surface (RS)-Method, etc.
For shape optimization problems, SAPOP provides various shape functions to defme the surface shape of a component. They allow the transformation into a parametric optimization problem (Fleury and Schmit, 1980, Koeppe, 1986, Bremicker, 1989). Among others, the following ap- Multidisciplinary Optimization Procedure in Design Processes 13 proach functions are used: Lagrange polynomials, Bezier curves and Bezier surfaces, B-spline curves and surfaces, modified ellipse functions, etc. Control points are employed to determine the free coefficients of most of the shape functions.
It is also possible to interpolate intermediate points. The coefficients of the coordination matrix are determined by means of simple geometrical considerations. For shape optimization problems, SAPOP provides various shape functions to defme the surface shape of a component. They allow the transformation into a parametric optimization problem (Fleury and Schmit, 1980, Koeppe, 1986, Bremicker, 1989). Among others, the following ap- Multidisciplinary Optimization Procedure in Design Processes 13 proach functions are used: Lagrange polynomials, Bezier curves and Bezier surfaces, B-spline curves and surfaces, modified ellipse functions, etc.
Emerging Methods for Multidisciplinary Optimization by Jan Blachut, Hans A. Eschenauer