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LEADER: 02984nam a22004455a 4500
001 013834314-4
005 20131206195747.0
008 121227s1991 au | s ||0| 0|eng d
020 $a9783709191682
020 $a9783709191682
020 $a9783211822920
024 7 $a10.1007/978-3-7091-9168-2$2doi
035 $a(Springer)9783709191682
040 $aSpringer
050 4 $aQC120-168.85
050 4 $aQA808.2
072 7 $aPHD$2bicssc
072 7 $aSCI041000$2bisacsh
082 04 $a531$223
100 1 $aTroger, Hans,$eauthor.
245 10 $aNonlinear Stability and Bifurcation Theory :$bAn Introduction for Engineers and Applied Scientists /$cby Hans Troger, Alois Steindl.
264 1 $aVienna :$bSpringer Vienna,$c1991.
300 $aXI, 407p. 141 illus.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
520 $aThere has been a tremendous progress in the mathematical treatment of nonlinear dynamical systems over the past two decades. This book tries to make this progress in the field of stability theory available to scientists and engineers. A unified and systematic treatment of the different types of loss of stability of equilibrium positions of statical and dynamical systems and of periodic solutions of dynamical systems is given by means of the methods of bifurcation and singuality theory. The reader needs only a background in mathematics as it is usually taught to undergraduates in engineering and, having read this book, he should be able to treat nonlinear stability and bifurcation problems himself in a straightforward way. Among others, concepts such as center manifold theory, the method of Ljapunov-Schmidt, normal form theory, unfolding theory, bifurcation diagrams, classifications and bifurcations in symmetric systems are discussed, as far as they are relevant in applications. 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.
650 20 $aCivil engineering.
650 20 $aMechanics.
650 10 $aPhysics.
650 0 $aPhysics.
650 0 $aMechanics.
650 0 $aEngineering mathematics.
650 0 $aCivil engineering.
650 24 $aAppl.Mathematics/Computational Methods of Engineering.
700 1 $aSteindl, Alois,$eauthor.
776 08 $iPrinted edition:$z9783211822920
988 $a20131114
906 $0VEN