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Nonlinear Stability and Bifurcation Theory
An Introduction for Engineers and Applied Scientists
Inglese
132 b
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§Mittels der Methoden der Verzweigungs- und Singularitätstheorie wird eine systematische Behandlung nichtlinearer Stabilitätsprobleme statischer und dynamischer sowie endlich und unendlich-dimensionaler Systeme vorgestellt, wobei auf praktische Anwendungen der Theorie größter Wert gelegt wurde. Beispiele behandeln u.a. Beulprobleme, Fahrzeugbewegungen und strömungserregte Strukturen. Es werden keine besonderen mathematischen Voraussetzungen an den Leser gestellt, denn alle notwendigen Konzepte, die über das Grundwissen eines Ingenieurs hinausgehen, werden im Buch entwickelt. §Most important for the whole representation is a set of examples taken from mechanics and engineering showing the usefulness of the above mentioned concepts. These examples include buckling problems of rods, plates and shells and furthermore the loss of stability of the motion of road and rail vehicles, of a simple robot, and of fluid conveying elastic tubes. With these examples, questions like symmetry breaking, pattern formation, imperfection sensitivity, transition to chaos and correct modelling of systems are touched. Finally a number of selected FORTRAN-routines should encourage the reader to treat his own problem.
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