Ebook: The Optimum Shape: Automated Structural Design

This book contains the papers presented at the International Symposium, "The Optimum Shape: Automated Structural Design," held at the General Motors Research Laboratories on September 3D-October 1, 1985. This was the 30th symposium in a series which the Research Laboratories began sponsoring in 1957. Each symposium has focused on a topic that is both under active study at the Research Laboratories and is also of interest to the larger technical community. While attempts to produce a structure which performs a certain task with the minimum amount of resources probably predates recorded civilization, the idea of coupling formal optimization techniques with computer-based structural analysis techniques was first proposed in the early 1960s. Although it was recognized at this time that the most fundamental description of the problem would be in terms of the shape or contours of the structure, much of the early work described the problem in terms of structural sizing parameters instead of geometrical descriptions. Within the past few years, several research groups have started to explore this more fundamental area of shape design. Initial research has raised many new questions about appropriate selection of design variables, methods of calculating derivatives, and generation of the underlying analysis problem.

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Content:
Front Matter....Pages i-viii
Front Matter....Pages 1-1
Adaptive Analysis Refinement and Shape Optimization—Some New Possibilities....Pages 3-27
Material Derivative Methods for Shape Design Sensitivity Analysis....Pages 29-60
The Relationship between the Variational Approach and the Implicit Differentiation Approach to Shape Design Sensitivities....Pages 61-77
Variational Approach to Shape Sensitivity Analysis and Optimal Design....Pages 79-110
Front Matter....Pages 111-111
Automatic Finite Element Modeling for Use with Three-Dimensional Shape Optimization....Pages 113-137
Adaptive Finite Element Methods for Shape Optimization of Linearly Elastic Structures....Pages 139-169
Uncertainties in Engineering Design: Mathematical Theory and Numerical Experience....Pages 171-197
Boundary Elements in Shape Optimal Design of Structures....Pages 199-231
Front Matter....Pages 233-233
Shape Optimization of Three-Dimensional Stamped and Solid Automotive Components....Pages 235-262
Multidisciplinary Shape Optimization....Pages 263-281
Optimal Shape Design of Axisymmetric Structures....Pages 283-295
Shape Optimal Design by the Convex Linearization Method....Pages 297-326
Front Matter....Pages 327-327
A Numerical Method for Shape Design Sensitivity Analysis and Optimization of Built-up Structures....Pages 329-352
Anomalies Arising in Analysis and Computational Procedures for the Prediction of Optimal Shape....Pages 353-363
Geometric Modeling for Structural and Material Shape Optimization....Pages 365-383
Symposium Summary and Concluding Remarks....Pages 385-397
Back Matter....Pages 399-411

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Content:
Front Matter....Pages i-viii
Front Matter....Pages 1-1
Adaptive Analysis Refinement and Shape Optimization—Some New Possibilities....Pages 3-27
Material Derivative Methods for Shape Design Sensitivity Analysis....Pages 29-60
The Relationship between the Variational Approach and the Implicit Differentiation Approach to Shape Design Sensitivities....Pages 61-77
Variational Approach to Shape Sensitivity Analysis and Optimal Design....Pages 79-110
Front Matter....Pages 111-111
Automatic Finite Element Modeling for Use with Three-Dimensional Shape Optimization....Pages 113-137
Adaptive Finite Element Methods for Shape Optimization of Linearly Elastic Structures....Pages 139-169
Uncertainties in Engineering Design: Mathematical Theory and Numerical Experience....Pages 171-197
Boundary Elements in Shape Optimal Design of Structures....Pages 199-231
Front Matter....Pages 233-233
Shape Optimization of Three-Dimensional Stamped and Solid Automotive Components....Pages 235-262
Multidisciplinary Shape Optimization....Pages 263-281
Optimal Shape Design of Axisymmetric Structures....Pages 283-295
Shape Optimal Design by the Convex Linearization Method....Pages 297-326
Front Matter....Pages 327-327
A Numerical Method for Shape Design Sensitivity Analysis and Optimization of Built-up Structures....Pages 329-352
Anomalies Arising in Analysis and Computational Procedures for the Prediction of Optimal Shape....Pages 353-363
Geometric Modeling for Structural and Material Shape Optimization....Pages 365-383
Symposium Summary and Concluding Remarks....Pages 385-397
Back Matter....Pages 399-411
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