Optimization of Large Structural SystemsGeorge I. N. Rozvany Springer Science & Business Media, 21.11.2013 - 1204 Seiten G.I.N. Rozvany ASI Director, Professor of Structural Design, FB 10, Essen University, Essen, Germany Structural optimization deals with the optimal design of all systems that consist, at least partially, of solids and are subject to stresses and deformations. This inte grated discipline plays an increasingly important role in all branches of technology, including aerospace, structural, mechanical, civil and chemical engineering as well as energy generation and building technology. In fact, the design of most man made objects, ranging from space-ships and long-span bridges to tennis rackets and artificial organs, can be improved considerably if human intuition is enhanced by means of computer-aided, systematic decisions. In analysing highly complex structural systems in practice, discretization is un avoidable because closed-form analytical solutions are only available for relatively simple, idealized problems. To keep discretization errors to a minimum, it is de sirable to use a relatively large number of elements. Modern computer technology enables us to analyse systems with many thousand degrees of freedom. In the optimization of structural systems, however, most currently available methods are restricted to at most a few hundred variables or a few hundred active constraints. |
Inhalt
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27 | |
Iterative COC Methods Formulated Directly for Discretized | 59 |
N Rozvany M Zhou and W Gollub | 77 |
N Rozvany and M Zhou | 103 |
U Kirsch and G I N Rozvany | 121 |
P Bendsøe and A BenTal | 139 |
K Suzuki and N Kikuchi | 152 |
S Hernández | 609 |
Composite Anisotropic and Nonlinear Materials | 623 |
P Pedersen | 649 |
J E Taylor and J Logo | 682 |
Structures with Mechanical Contact | 697 |
Berke and P Hajela | 731 |
P Hajela B Fu and L Berke | 747 |
B H V Topping and A I Khan | 766 |
J Fukushima K Suzuki and N Kikuchi | 177 |
Decomposition Methods and Approximation Concepts | 192 |
J F M Barthelemy and R T Haftka | 235 |
Thomas and G N Vanderplaats | 257 |
U Kirsch | 271 |
R T Haftka and H M Adelman | 288 |
K K Choi and S Wang | 313 |
Banichuk | 328 |
K K Choi I Shim J Lee and H T Kulkarni | 329 |
J S Arora and T H | 344 |
G Cheng and N Olhoff | 361 |
N Olhoff and J Rasmussen | 383 |
Introduction to Shape Sensitivity ThreeDimensional and Surface Systems | 397 |
A Finite Strain Rod Model and Its Design Sensitivity | 433 |
Z Mróz | 455 |
K Dems | 477 |
Shape Sensitivity Analysis and Optimal Design of Plates with Varying | 492 |
Mathematical Programming and Global Optima | 509 |
Sequential Convex Programming for Structural Optimization Problems | 531 |
K Svanberg | 555 |
Local and Global Optima | 579 |
J Koski | 793 |
Thomas and G N Vanderplaats | 811 |
Structural and Control Optimization | 829 |
Applications | 843 |
E Grierson and C M Chan | 863 |
E Grierson and H Moharrami | 882 |
Karihaloo and S Kanagasundaram | 897 |
MinimumCost Design of Reinforced Concrete Members by NonLinear | 927 |
W Dobler P Erl and H Rapp | 951 |
H J Baier | 973 |
Optimization in Coupled Problems 987 | 986 |
H A Eschenauer G Schuhmacher and W Hartzheim | 1011 |
Application of Analytical Models for the Optimization of Large Structural | 1050 |
E Schnack and G Iancu | 1073 |
W Gutkowski O Mahrenholtz and M Pyrz | 1087 |
P Morelle and V Braibant | 1101 |
B Fuchs | 1115 |
E M ElSayed and T S Jang | 1134 |
Isoperimetric Inequalities in Stability Problems | 1155 |
TITLES OF CONTRIBUTED PAPERS | 1195 |
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adjoint AIAA algorithm applied approach approximation concepts assumed beam boundary calculated COC method computational considered convergence convex cross-sectional area defined denotes derivatives design sensitivity analysis design variables differentiation displacement constraints displacement vector domain dual dual method dynamic eigenvalue eigenvectors elastic Engineering equality constraints equations error example finite difference finite element forces formulation given global ground structure Haftka Hessian matrix initial iterative COC kinematic kinematically admissible Lagrangian Lagrangian multipliers layout LDRV linear loading conditions minimize nodal nonlinear objective function obtained optimal design optimal solution optimal topologies optimality criteria optimization problem optimum parameters plate procedure programming respect response Rozvany Schmit semi-analytical series expansion shape optimization shown in Fig solved SSijk statically statically determinate stiffness matrix strain stress constraints Structural Design structural optimization subproblems substructure Taylor series truss values Vanderplaats variation virtual displacements weight zero მა