
Nonlinear Dynamics of Continuous Elastic Systems
Springer (Publisher)
Published on 23. March 2004
Book
Hardback
XII, 342 pages
978-3-540-20515-9 (ISBN)
Description
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 results.
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 results.
Reviews / Votes
From the reviews:
"The authors put together a unique monograph on an interesting array of elastodyamic subjects. . The work is presented in the manner of a series of seminars. Thus it is very appealing to the professional who wishes to focus on the physics and macroscopic mathematics of the subject. An excellent list of references is provided for the interested reader to pursue the mathematical depth of the topic presented. . it is an excellent reference . in the field of elasto-dynamics to have on the shelf." (J. Genin, Zentralblatt MATH, Vol. 1064, 2005)
More details
Edition
2004 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
College/higher education
Professional and scholarly
Research
Illustrations
XII, 342 p.
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
1500 gr
ISBN-13
978-3-540-20515-9 (9783540205159)
DOI
10.1007/978-3-662-08992-7
Schweitzer Classification
Other editions
Additional editions

Jan Awrejcewicz | Vadim Anatolevich Krys'ko | Alexander F. Vakakis
Nonlinear Dynamics of Continuous Elastic Systems
E-Book
03/2013
Springer
€149.79
Available for download

Jan Awrejcewicz | Vadim Anatolevich Krys'ko | Alexander F. Vakakis
Nonlinear Dynamics of Continuous Elastic Systems
Book
11/2010
Springer
€160.49
Shipment within 7-9 days
Content
1 Vibration of Plates and Shells with Added Masses.- 2 Rational Design of Plates and Shells.- 3 Order Reduction by Proper Orthogonal Decomposition (POD) Analysis.- 4 Analytic Modelling of Discreteness Effects in Continuous Systems.- 5 Continuous Systems with Non-smooth Nonlinearities.- References.