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Books > Computing & IT > Applications of computing > Artificial intelligence
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Nonlinear Dynamics of Continuous Elastic Systems (Paperback, Softcover reprint of hardcover 1st ed. 2004)
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Nonlinear Dynamics of Continuous Elastic Systems (Paperback, Softcover reprint of hardcover 1st ed. 2004)
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There are many monographs in the existing literature devoted to the
static and dynamic behavior of plates and shells. Plates and shells
are enco- tered often in engineering applications being
integralparts of a wide range of constructions, such as machines,
vehicles, airplanes, rockets, ships, bridges, buildings, and
containers, to name a few. In addition to the usual requi- ments
posedby engineersrelatedtolightweightness, su?cientrigidityor?-
ibility, and robust stability properties, there is an additional
class ofapriori
dynamicalpropertiesrequiredbymodernengineeringapplicationswheren-
homogeneity and non-uniformity of structural components is often
the norm incertainapplications. Inaddition,
strictoperationalrequirementsinmodern engineering applications
towards higher speeds, lighter construction, robust
andreliableperformance,
dictatessmallermarginsoferrorordeviationsfrom prescribed
performances in adverse or uncertain forcing environments. This, in
turn, requires the development of new analytical and computational
tools capable of addressing challenging and not very well developed
topics, such as, nonlinearities a?ecting the system performance,
the e?ects of unmodeled dynamics on the stability of operation, and
the role of uncertainties in the
systemparametersonthestructuralresponse. Asaresult,
thereisanongoing e?ort to address such issues, leading to the
development of new analytical and computational tools, some of
which are discussed in this monograph. The monograph follows an
approach based on an integrated treatment of analysis and
computation. Such a hybrid approach, coupled with computer algebra,
can lead to results that cannot be obtained by other standard th-
ries in the ?eld. We show, that in a wide class of problems only a
carefully prepared numerical experiment followed by purely
mathematical conside- tionscan?nallyleadtothesoughtresults.
Thenumerousanalyticalconstr- tions are illustrated by examples of
application and computational resu
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