skip to content
Nonlinear dynamics : between linear and impact limits Preview this item
ClosePreview this item
Checking...

Nonlinear dynamics : between linear and impact limits

Author: V N Pilipchuk
Publisher: Berlin ; Heidelberg : Springer-Verlag, ©2010.
Series: Lecture notes in applied and computational mechanics, v. 52.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Nonlinear Dynamics represents a wide interdisciplinary area of research dealing with a variety of "unusual" physical phenomena by means of nonlinear differential equations, discrete mappings, and related mathematical algorithms. However, with no real substitute for the linear superposition principle, the methods of Nonlinear Dynamics appeared to be very diverse, individual and technically complicated. This book  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Pilipchuk, Valery N.
Nonlinear dynamics.
Berlin ; Heidelberg : Springer, ©2010
(OCoLC)642198266
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: V N Pilipchuk
ISBN: 9783642127991 3642127991 9783642127984 3642127983
OCLC Number: 663096939
Description: 1 online resource (xi, 364 pages).
Contents: Part 1 Introduction --
Part 2 Smooth Oscillating Processes --
Part 3 Nonsmooth Processes as Asymptotic Limits --
Part 4 Nonsmooth Temporal Transformations (NSTT) --
Part 5 Sawtooth Power Series --
Part 6 NSTT for Linear and Piecewise-Linear Systems --
Part 7 Periodic and Transient Nonlinear Dynamics under Discontinuous Loading --
Part 8 Strongly Nonlinear Vibrations --
Part 9 Strongly Nonlinear Waves --
Part 10 Impact Modes and Parameter Variations --
Part 11 Principal Trajectories of Forced Vibrations --
Part 12 NSTT and Shooting Method for Periodic Motions --
Part 13 Essentially Non-periodic Processes --
Part 14 Spatially-Oscillating Structures.
Series Title: Lecture notes in applied and computational mechanics, v. 52.
Responsibility: Valery N. Pilipchuk.

Abstract:

This book examines nonlinear dynamic analyses based on the existence of strongly nonlinear but simple counterparts to the linear models and tools. Discusses possible application to periodic elastic  Read more...

Reviews

Editorial reviews

Publisher Synopsis

From the reviews:"This book is based on a series of papers which the author published earlier. The main subject of this book is the concept of non-smooth time transformations (NSTT) to describe Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/663096939> # Nonlinear dynamics : between linear and impact limits
    a schema:Book, schema:MediaObject, schema:CreativeWork ;
   library:oclcnum "663096939" ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/792761380#Place/heidelberg> ; # Heidelberg
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/792761380#Place/berlin> ; # Berlin
   schema:about <http://experiment.worldcat.org/entity/work/data/792761380#Topic/science_physics_mathematical_&_computational> ; # SCIENCE--Physics--Mathematical & Computational
   schema:about <http://dewey.info/class/531.11/e22/> ;
   schema:about <http://id.worldcat.org/fast/900295> ; # Dynamics
   schema:about <http://experiment.worldcat.org/entity/work/data/792761380#Topic/ingenierie> ; # Ingénierie
   schema:about <http://experiment.worldcat.org/entity/work/data/792761380#Topic/sciences> ; # Sciences
   schema:about <http://experiment.worldcat.org/entity/work/data/792761380#Topic/nichtlineare_dynamik> ; # Nichtlineare Dynamik
   schema:about <http://id.worldcat.org/fast/1038812> ; # Nonlinear theories
   schema:bookFormat schema:EBook ;
   schema:copyrightYear "2010" ;
   schema:creator <http://viaf.org/viaf/306083267> ; # Valeriĭ Nikolaevich Pilipchuk
   schema:datePublished "2010" ;
   schema:description "Part 1 Introduction -- Part 2 Smooth Oscillating Processes -- Part 3 Nonsmooth Processes as Asymptotic Limits -- Part 4 Nonsmooth Temporal Transformations (NSTT) -- Part 5 Sawtooth Power Series -- Part 6 NSTT for Linear and Piecewise-Linear Systems -- Part 7 Periodic and Transient Nonlinear Dynamics under Discontinuous Loading -- Part 8 Strongly Nonlinear Vibrations -- Part 9 Strongly Nonlinear Waves -- Part 10 Impact Modes and Parameter Variations -- Part 11 Principal Trajectories of Forced Vibrations -- Part 12 NSTT and Shooting Method for Periodic Motions -- Part 13 Essentially Non-periodic Processes -- Part 14 Spatially-Oscillating Structures."@en ;
   schema:description "Nonlinear Dynamics represents a wide interdisciplinary area of research dealing with a variety of "unusual" physical phenomena by means of nonlinear differential equations, discrete mappings, and related mathematical algorithms. However, with no real substitute for the linear superposition principle, the methods of Nonlinear Dynamics appeared to be very diverse, individual and technically complicated. This book makes an attempt to find a common ground for nonlinear dynamic analyses based on the existence of strongly nonlinear but quite simple counterparts to the linear models and tools. It is shown that, since the subgroup of rotations, harmonic oscillators, and the conventional complex analysis generate linear and weakly nonlinear approaches, then translations and reflections, impact oscillators, and hyperbolic (Clifford's) algebras must give rise to some "quasi impact" methodology. Such strongly nonlinear methods are developed in several chapters of this book based on the idea of non-smooth time substitutions. Although most of the illustrations are based on mechanical oscillators, the area of applications may include also electric, electro-mechanical, electrochemical and other physical models generating strongly anharmonic temporal signals or spatial distributions. Possible applications to periodic elastic structures with non-smooth or discontinuous characteristics are outlined in the final chapter of the book."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/792761380> ;
   schema:genre "Electronic books"@en ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/792761380#Series/lecture_notes_in_applied_and_computational_mechanics> ; # Lecture notes in applied and computational mechanics ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/642198266> ;
   schema:name "Nonlinear dynamics : between linear and impact limits"@en ;
   schema:productID "663096939" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/663096939#PublicationEvent/berlin_heidelberg_springer_verlag_2010> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/792761380#Agent/springer_verlag> ; # Springer-Verlag
   schema:url <http://link.springer.com/openurl?genre=book&isbn=978-3-642-12798-4> ;
   schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=571662> ;
   schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=325935> ;
   schema:url <https://grinnell.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-642-12799-1> ;
   schema:url <http://dx.doi.org/10.1007/978-3-642-12799-1> ;
   schema:url <https://link.springer.com/openurl?genre=book&isbn=978-3-642-12798-4> ;
   schema:workExample <http://worldcat.org/isbn/9783642127984> ;
   schema:workExample <http://worldcat.org/isbn/9783642127991> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/663096939> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/792761380#Agent/springer_verlag> # Springer-Verlag
    a bgn:Agent ;
   schema:name "Springer-Verlag" ;
    .

<http://experiment.worldcat.org/entity/work/data/792761380#Series/lecture_notes_in_applied_and_computational_mechanics> # Lecture notes in applied and computational mechanics ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/663096939> ; # Nonlinear dynamics : between linear and impact limits
   schema:name "Lecture notes in applied and computational mechanics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/792761380#Topic/nichtlineare_dynamik> # Nichtlineare Dynamik
    a schema:Intangible ;
   schema:name "Nichtlineare Dynamik"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/792761380#Topic/science_physics_mathematical_&_computational> # SCIENCE--Physics--Mathematical & Computational
    a schema:Intangible ;
   schema:name "SCIENCE--Physics--Mathematical & Computational"@en ;
    .

<http://id.worldcat.org/fast/1038812> # Nonlinear theories
    a schema:Intangible ;
   schema:name "Nonlinear theories"@en ;
    .

<http://id.worldcat.org/fast/900295> # Dynamics
    a schema:Intangible ;
   schema:name "Dynamics"@en ;
    .

<http://viaf.org/viaf/306083267> # Valeriĭ Nikolaevich Pilipchuk
    a schema:Person ;
   schema:familyName "Pilipchuk" ;
   schema:givenName "Valeriĭ Nikolaevich" ;
   schema:givenName "V. N." ;
   schema:name "Valeriĭ Nikolaevich Pilipchuk" ;
    .

<http://worldcat.org/isbn/9783642127984>
    a schema:ProductModel ;
   schema:isbn "3642127983" ;
   schema:isbn "9783642127984" ;
    .

<http://worldcat.org/isbn/9783642127991>
    a schema:ProductModel ;
   schema:isbn "3642127991" ;
   schema:isbn "9783642127991" ;
    .

<http://www.worldcat.org/oclc/642198266>
    a schema:CreativeWork ;
   rdfs:label "Nonlinear dynamics." ;
   schema:description "Print version:" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/663096939> ; # Nonlinear dynamics : between linear and impact limits
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.