Basics of Shape Optimal Design

At present optimum structural design is understood as a synthesis of several disciplines which individually are to a large extend developed [1]: (i) design modeling, (ii) structural analysis, (iii) behavior sensitivity analysis, (iv) mathematical programming, and (v) interactive computer graphics. Their interactions reflect the typical loop of each design process (Fig. 1). The art of structural optimization is to join the interdisciplinary dependencies in a clear, integrated overall model and to convert it into an efficient and practical computer code [2]. Today, all the leading software packages offer optimization modules, although of different quality and still mainly restricted to sizing.

[1]  V. Braibant,et al.  Structural optimization: A new dual method using mixed variables , 1986 .

[2]  Ekkehard Ramm,et al.  On shape finding methods and ultimate load analyses of reinforced concrete shells , 1991 .

[3]  C. Fleury.  Structural weight optimization by dual methods of convex programming , 1979 .

[4]  Ekkehard Ramm,et al.  Shape Finding Methods of Shells , 1992 .

[5]  K. Schittkowski.  The nonlinear programming method of Wilson, Han, and Powell with an augmented Lagrangian type line search function , 1982 .

[6]  L. Berke,et al.  Structural optimization using optimality criteria , 1987 .

[7]  Ekkehard Ramm,et al.  Structural Optimization and Analysis with Program System CARAT , 1989 .

[8]  Yunliang Ding,et al.  Shape optimization of structures: a literature survey , 1986 .

[9]  Edward J. Haug,et al.  Methods of Design Sensitivity Analysis in Structural Optimization , 1979 .

[10]  Freerk A. Lootsma,et al.  State-of-the-art in parallel nonlinear optimization , 1988, Parallel Comput..

[11]  Garret N. Vanderplaats,et al.  Numerical Optimization Techniques for Engineering Design: With Applications , 1984 .

[12]  Ekkehard Ramm,et al.  Efficient modeling in shape optimal design , 1991 .

[13]  Raphael T. Haftka,et al.  Preliminary design of composite wings for buckling, strength and displacement constraints , 1979 .

[14]  L. A. Schmit,et al.  Structural synthesis - Its genesis and development , 1981 .

[15]  R. Haftka,et al.  Elements of Structural Optimization , 1984 .

[16]  John Rasmussen,et al.  The structural optimization system CAOS , 1990 .

[17]  J. Arora,et al.  Performance of some SQP algorithms on structural design problems , 1986 .

[18]  G. N. Vanderplaats,et al.  Structural Optimization-Past, Present, and Future , 1981 .

[19]  R. Haftka,et al.  Structural shape optimization — a survey , 1986 .

[20]  K. Svanberg.  The method of moving asymptotes—a new method for structural optimization , 1987 .

[21]  C. Petiau,et al.  Structural optimization of aircraft , 1991 .

[22]  Kuang-Hua Chang,et al.  An interactive post-processor for structural design sensitivity analysis and optimization: Sensitivity display and what-if study , 1990 .

[23]  Eberhard Schunck,et al.  Heinz Isler Schalen , 1986 .

[24]  I. Faux,et al.  Computational Geometry for Design and Manufacture , 1979 .

[25]  Raphael T. Haftka,et al.  Two Approaches to Sensitivity Analysis for Shape Variation of Structures , 1988 .

[26]  David G. Luenberger,et al.  Linear and nonlinear programming , 1984 .

[27]  Ingo Raasch,et al.  General shape optimization capability , 1990 .

[28]  Hojjat Adeli,et al.  A synergic man-machine approach to shape optimization of structures , 1988 .

[29]  Hans-Paul Schwefel,et al.  Numerical Optimization of Computer Models , 1982 .

[30]  Raphael T. Haftka,et al.  Recent developments in structural sensitivity analysis , 1989 .

[31]  Raphael T. Haftka,et al.  Accuracy problems associated with semi-analytical derivatives of static response , 1988 .

[32]  R. Haftka,et al.  Sensitivity Analysis of Discrete Structural Systems , 1986 .

[33]  B. Esping,et al.  A CAD approach to the minimum weight design problem , 1985 .

[34]  Richard H. Gallagher,et al.  Optimum Structural Design: Theory and Applications , 1973 .

[35]  Wolfgang Böhm,et al.  A survey of curve and surface methods in CAGD , 1984, Comput. Aided Geom. Des..

[36]  B. Prasad.  Explicit constraint approximation forms in structural optimization Part 1: Analyses and projections , 1983 .