Electronic Resource
Springer
Journal of optimization theory and applications
6 (1970), S. 1-21
ISSN:
1573-2878
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Typical problems of optimal structural design are discussed to indicate mathematical techniques used in this field. An introductory example (Section 2) concerns the design of a beam for prescribed maximal deflection and shows how suitable discretization may lead to a problem of nonlinear programming, in this case, convex programming. The problem of optimal layout of a truss (Section 3) is discussed at some length. A new method of establishing optimality criteria (Section 4) is illustrated by the optimal design of a statically indeterminate beam of segmentwise constant or continuously varying cross section for given deflection under a single concentrated load. Other applications of this method (Section 5) are briefly discussed, and a simple example of multipurpose design (Section 6) concludes the paper.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00927037
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