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Optimal Structural Design under Stability Constraints (Paperback, Softcover reprint of the original 1st ed. 1988)
Loot Price: R5,484
Discovery Miles 54 840
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Optimal Structural Design under Stability Constraints (Paperback, Softcover reprint of the original 1st ed. 1988)
Series: Mechanics of Elastic Stability, 13
Expected to ship within 10 - 15 working days
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The first optimal design problem for an elastic column subject to
buckling was formulated by Lagrange over 200 years ago. However,
rapid development of structural optimization under stability
constraints occurred only in the last twenty years. In numerous
optimal structural design problems the stability phenomenon becomes
one of the most important factors, particularly for slender and
thin-walled elements of aerospace structures, ships, precision
machines, tall buildings etc. In engineering practice stability
constraints appear more often than it might be expected; even when
designing a simple beam of constant width and variable depth, the
width - if regarded as a design variable - is finally determined by
a stability constraint (lateral stability). Mathematically, optimal
structural design under stability constraints usually leads to
optimization with respect to eigenvalues, but some cases fall even
beyond this type of problems. A total of over 70 books has been
devoted to structural optimization as yet, but none of them has
treated stability constraints in a sufficiently broad and
comprehensive manner. The purpose of the present book is to fill
this gap. The contents include a discussion of the basic structural
stability and structural optimization problems and the pertinent
solution methods, followed by a systematic review of solutions
obtained for columns, arches, bar systems, plates, shells and
thin-walled bars. A unified approach based on Pontryagin's maximum
principle is employed inasmuch as possible, at least to problems of
columns, arches and plates. Parametric optimization is discussed as
well.
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