skip to content
Duality system in applied mechanics and optimal control Preview this item
ClosePreview this item
Checking...

Duality system in applied mechanics and optimal control

Author: Wan-Xie Zhong
Publisher: Boston ; Dordrecht ; New York ; London : Kluwer Academic Publishers, cop. 2004.
Series: Advances in mechanics and mathematics (Monographic series. Print), vol. 5.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

The Hamilton system methodology in analytical mechanics is used for eigenvalue problems, vibration theory, gyroscopic systems, structural mechanics, wave-guide, LQ control, Kalman filter, robust  Read more...

Rating:

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

Subjects
More like this

Find a copy in the library

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

Details

Document Type: Book
All Authors / Contributors: Wan-Xie Zhong
ISBN: 1402078803 9781402078804
OCLC Number: 493423342
Description: 1 vol. ( xiii-456 p.) : couv. ill. ; 24 cm.
Contents: Contents Preface Introduction 0.1. Introduction to Precise integration method1: Introduction to analytical dynamics 1.1. Holonomic and nonholonomic constraints 1.2. Generalized displacement, degrees of freedom and virtual displacement 1.3. Principle of virtual displacement and the D'Alembert principle 1.4. Lagrange equation 1.5. Hamilton variational principle 1.6. Hamiltonian canonical equations 1.7. Canonical transformation 1.8. Symplectic description of the canonical transformation 1.9. Poisson bracket 1.10. Action 1.11. Hamilton-Jacobi equation 2: Vibration theory 2.1. Single degree of freedom vibration 2.2. Vibration of multi-degrees of freedom system 2.3. Small vibration of gyroscopic systems 2.4. Non-linear vibration of multi-degrees of freedom system 2.5. Discussion on the stability of gyroscopic system 3: Probability and stochastic process 3.1. Preliminary of probability theory 3.2. Preliminary of stochastic process 3.3. Quadratic moment stochastic process (regular process) 3.4. Normal stochastic process 3.5. Markoff process 3.6. Spectral density of stationary stochastic process 4: Random vibration of structures 4.1. Models of random excitation 4.2. Response of structures under stationary excitations 4.3. Response under excitation of non-stationary stochastic process 5: Elastic system with single continuous coordinate 5.1. Fundamental equations of Timoshenco beam theory 5.2. Potential energy density and mixed energy density 5.3. Separation of variables, Adjoint symplectic ortho-normality 5.4. Multiple eigenvalues and the Jordan normal form 5.5. Expansion solution of the inhomogeneous equation 5.6. Two end boundary conditions 5.7. Interval mixed energy and precise integration method 5.8. Eigenvector based solution of Riccati equations 5.9. Stepwise integrationmethod by means of sub-structural combination 5.10. Influence function of single continuous coordinate system 5.11. Power flow 5.12. Wave scattering analysis 5.13. Wave induced resonance 5.14. Wave propagation along periodical structures 6: Linear optimal control, theory and computation6.1. State space of linear system 6.2. Theory of stability 6.3. Prediction, filtering and smoothing 6.4. Prediction and its computation 6.5. Kalman filter 6.6. Optimal smoothing and computations 6.7. Optimal control 6.8. Robust control Concluding remarks
Series Title: Advances in mechanics and mathematics (Monographic series. Print), vol. 5.
Responsibility: by Wan-Xie Zhong,....

Reviews

Editorial reviews

Publisher Synopsis

From the reviews of the first edition:"It is one of the purposes of this book, to ease the studying of applied mechanics. ... The book can be used not only in the research or teaching of applied 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/493423342> # Duality system in applied mechanics and optimal control
    a schema:Book, schema:CreativeWork ;
   library:oclcnum "493423342" ;
   library:placeOfPublication <http://dbpedia.org/resource/London> ; # London
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/enk> ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/13487025#Place/dordrecht> ; # Dordrecht
   library:placeOfPublication <http://dbpedia.org/resource/Boston> ; # Boston
   schema:about <http://dewey.info/class/519.8/e22/> ;
   schema:about <http://id.loc.gov/authorities/subjects/sh2010101115> ; # Mechanics, Applied--Mathematical models
   schema:about <http://experiment.worldcat.org/entity/work/data/13487025#Topic/commande_lineaire> ; # Commande linéaire
   schema:about <http://experiment.worldcat.org/entity/work/data/13487025#Topic/vibrations_aleatoires> ; # Vibrations aléatoires
   schema:about <http://id.worldcat.org/fast/1012099> ; # Mathematical optimization
   schema:about <http://experiment.worldcat.org/entity/work/data/13487025#Topic/optimisation_mathematique> ; # Optimisation mathématique
   schema:about <http://dewey.info/class/620.1/e22/> ;
   schema:about <http://id.worldcat.org/fast/1013493> ; # Mechanics, Applied--Mathematical models
   schema:about <http://experiment.worldcat.org/entity/work/data/13487025#Topic/commande_theorie_de_la> ; # Commande, Théorie de la
   schema:about <http://experiment.worldcat.org/entity/work/data/13487025#Topic/mecanique_appliquee_modeles_mathematiques> ; # Mécanique appliquée--Modèles mathématiques
   schema:about <http://id.worldcat.org/fast/877085> ; # Control theory
   schema:author <http://viaf.org/viaf/89829874> ; # Wan-Xie Zhong
   schema:bookFormat bgn:PrintBook ;
   schema:copyrightYear "op." ;
   schema:datePublished "2004" ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/13487025> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/13487025#Series/advances_in_mechanics_and_mathematics_monographic_series_print> ; # Advances in mechanics and mathematics (Monographic series. Print) ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/13487025#Series/advances_in_mechanics_and_mathematics> ; # Advances in mechanics and mathematics ;
   schema:name "Duality system in applied mechanics and optimal control" ;
   schema:productID "493423342" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/493423342#PublicationEvent/boston_dordrecht_new_york_london_kluwer_academic_publishers_cop_2004> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/13487025#Agent/kluwer_academic_publishers> ; # Kluwer Academic Publishers
   schema:workExample <http://worldcat.org/isbn/9781402078804> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/493423342> ;
    .


Related Entities

<http://dbpedia.org/resource/Boston> # Boston
    a schema:Place ;
   schema:name "Boston" ;
    .

<http://dbpedia.org/resource/London> # London
    a schema:Place ;
   schema:name "London" ;
    .

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/13487025#Agent/kluwer_academic_publishers> # Kluwer Academic Publishers
    a bgn:Agent ;
   schema:name "Kluwer Academic Publishers" ;
    .

<http://experiment.worldcat.org/entity/work/data/13487025#Series/advances_in_mechanics_and_mathematics> # Advances in mechanics and mathematics ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/493423342> ; # Duality system in applied mechanics and optimal control
   schema:name "Advances in mechanics and mathematics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/13487025#Series/advances_in_mechanics_and_mathematics_monographic_series_print> # Advances in mechanics and mathematics (Monographic series. Print) ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/493423342> ; # Duality system in applied mechanics and optimal control
   schema:name "Advances in mechanics and mathematics (Monographic series. Print) ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/13487025#Topic/commande_lineaire> # Commande linéaire
    a schema:Intangible ;
   schema:name "Commande linéaire" ;
    .

<http://experiment.worldcat.org/entity/work/data/13487025#Topic/commande_theorie_de_la> # Commande, Théorie de la
    a schema:Intangible ;
   schema:name "Commande, Théorie de la" ;
    .

<http://experiment.worldcat.org/entity/work/data/13487025#Topic/mecanique_appliquee_modeles_mathematiques> # Mécanique appliquée--Modèles mathématiques
    a schema:Intangible ;
   schema:name "Mécanique appliquée--Modèles mathématiques" ;
    .

<http://experiment.worldcat.org/entity/work/data/13487025#Topic/optimisation_mathematique> # Optimisation mathématique
    a schema:Intangible ;
   schema:name "Optimisation mathématique" ;
    .

<http://experiment.worldcat.org/entity/work/data/13487025#Topic/vibrations_aleatoires> # Vibrations aléatoires
    a schema:Intangible ;
   schema:name "Vibrations aléatoires" ;
    .

<http://id.loc.gov/authorities/subjects/sh2010101115> # Mechanics, Applied--Mathematical models
    a schema:Intangible ;
   schema:name "Mechanics, Applied--Mathematical models" ;
    .

<http://id.worldcat.org/fast/1012099> # Mathematical optimization
    a schema:Intangible ;
   schema:name "Mathematical optimization" ;
    .

<http://id.worldcat.org/fast/1013493> # Mechanics, Applied--Mathematical models
    a schema:Intangible ;
   schema:name "Mechanics, Applied--Mathematical models" ;
    .

<http://id.worldcat.org/fast/877085> # Control theory
    a schema:Intangible ;
   schema:name "Control theory" ;
    .

<http://viaf.org/viaf/89829874> # Wan-Xie Zhong
    a schema:Person ;
   schema:familyName "Zhong" ;
   schema:givenName "Wan-Xie" ;
   schema:name "Wan-Xie Zhong" ;
    .

<http://worldcat.org/isbn/9781402078804>
    a schema:ProductModel ;
   schema:description "rel" ;
   schema:isbn "1402078803" ;
   schema:isbn "9781402078804" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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