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.
General
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