Optimization of Distributed Parameter Structures - Volume II

These proceedings contain lectures and contributed papers presented at the NATO-NSF Advanced Study Institute on Optimization of Distributed Parameter Structures (Iowa City, Iowa 21 May - 4 June, 1980). The institute was organized by E. Haug and J. Cea, with the enthusiastic help of leading contributors to the field of distributed parameter structural optimization. The principle con tributor to this field during the past two decades, Professor William Prager, participated in planning for the Institute and helped to establish its technical direction. His death just prior to the Institute is a deep loss to the community of engineers and mathematicians in the field, to which he made pioneering contri butions. The proceedings are organized into seven parts, each address ing important problems and special considerations involving classes of structural optimization problems. The review paper presented first in the proceedings surveys contributions to the field, primarily during the decade 1970-1980. Part I of the pro ceedings addresses optimality criteria methods for analyzing and solving problems of distributed parameter structural optimization. Optimality criteria obtained using variational methods of mech anics, calculus of variation, optimal control theory, and abstract optimization theory are presented for numerous classes of struct ures; including beams, columns, plates, grids, shells, and arches.

Inhalt
5 Nonconservative Loading and Other Problems.- Structural Optimization Under Nonconservative Loading.- A Method of Direct Solution to Linear Inverse Problems.- Minimum-Weight Design of a Rotating Cantilever Beam With Specified Flapping- Frequency.- Interaction Between High-Speed Vehicles and Flexible Guideways.- Optimal Plastic Design of Beams for Workhardening Adaptation.- Optimization of Shells Under Combined Loadings Via the Concept of Uniform Stability.- Process Description Parameter Change in Dimensional Base Optimization.- Quantitative Stability Analysis and Load Domains.- 6 Shape Optimal Design.- Optimality Conditions and Analytical Methods of Shape Optimization.- Problems of Shape Optimal Design.- Numerical Methods of Shape Optimal Design.- The Material Derivative (or Speed) Method for Shape Optimization.- Domain Variational Formulation for Free Boundary Problems.- Implementation of Some Methods of Shape Optimal Design.- Dependence of Eigenvalues with Respect to Shape.- Design of a Mass-Optimized Thermal Diffuser.- A gradient Projection Method for Optimizing Shape of Elastic Bodies.- Existence of Optimal Geometries for a Model Problem of Antiplane Strain.- Application of Mathematical Models to Improve the Mechanical Behavior of a Large Superconducting Toroidal Field Coil Under Magnetic Body Forces.- 7 Design Sensitivity Analysis.- Design Sensitivity Analysis of Static Response Variations.- Design Sensitivity Analysis of Eigenvalue Variations.- Design Sensitivity Analysis of Shape Variation.- Singular Dependence of Repeated Eigenvalues.- Semi Derivatives of Repeated Eigenvalues.- Shape Design Sensitivity Methods for Structural Mechanics.- Computing Eigenvector Derivatives with Generalized Inverses.- Design Sensitivity Analysis for Distributed Parameter StructuralSystems Governed by Double Eigenvalue Problems.- Inverse Perturbation Methods for Vibration Analysis.- Optimal Design for Elastic Bodies in Contact.- Sensitivity Analysis for a Class of Variational Inequalities.