Borrow it
 Architecture Library
 Bizzell Memorial Library
 Boorstin Collection
 Chinese Literature Translation Archive
 Engineering Library
 Fine Arts Library
 Harry W. Bass Business History Collection
 History of Science Collections
 John and Mary Nichols Rare Books and Special Collections
 Library Service Center
 Price College Digital Library
 Western History Collections
The Resource Fractional Analysis : Methods of Motion Decomposition, by I.V. Novozhilov, (electronic resource)
Fractional Analysis : Methods of Motion Decomposition, by I.V. Novozhilov, (electronic resource)
Resource Information
The item Fractional Analysis : Methods of Motion Decomposition, by I.V. Novozhilov, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Fractional Analysis : Methods of Motion Decomposition, by I.V. Novozhilov, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This book considers methods of approximate analysis of mechanical, elec tromechanical, and other systems described by ordinary differential equa tions. Modern mathematical modeling of sophisticated mechanical systems consists of several stages: first, construction of a mechanical model, and then writing appropriate equations and their analytical or numerical ex amination. Usually, this procedure is repeated several times. Even if an initial model correctly reflects the main properties of a phenomenon, it de scribes, as a rule, many unnecessary details that make equations of motion too complicated. As experience and experimental data are accumulated, the researcher considers simpler models and simplifies the equations. Thus some terms are discarded, the order of the equations is lowered, and so on. This process requires time, experimentation, and the researcher's intu ition. A good example of such a semiexperimental way of simplifying is a gyroscopic precession equation. Formal mathematical proofs of its admis sibility appeared some several decades after its successful introduction in engineering calculations. Applied mathematics now has at its disposal many methods of approxi mate analysis of differential equations. Application of these methods could shorten and formalize the procedure of simplifying the equations and, thus, of constructing approximate motion models. Wide application of the methods into practice is hindered by the fol lowing. 1. Descriptions of various approximate methods are scattered over the mathematical literature. The researcher, as a rule, does not know what method is most suitable for a specific case. 2
 Language

 eng
 eng
 Edition
 1st ed. 1997.
 Extent
 1 online resource (X, 232 p.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Contents

 I Dimensional analysis and small parameters
 1 Dimensional analysis
 2 Introduction of small parameters
 II Regularly perturbed systems. Expansions of solutions
 3 The Poincaré theorem. The algorithm of expansion
 4 Applications of the Poincaré theorem
 5 Poincaré  Lyapunov method
 5.1 Algorithm of the method
 5.2 Examples. Nonisochronism of nonlinear system oscillations
 III Decomposition of motion in systems with fast phase
 6 Method of averaging in systems with a single fast phase
 7 Applications of the method of averaging
 8 Method of harmonic linearization
 9 Method of averaging in systems with several fast phases
 10 Averaging in systems without explicit periodicities
 IV Decomposition of motion in systems with boundary layer
 11 Tikhonov theorem
 12 Application of the Tikhonov theorem
 13 Asymptotic expansion of solutions for systems with a boundary layer
 V Decomposition of motion in systems with discontinuous characteristics
 14 Definition of a solution in discontinuity points
 15 Examples
 VI Correctness of limit models
 16 Limit model of holonomic constraint (absolutely rigid body)
 17 Limit model of kinematic constraints
 18 Limit model of servoconstraint
 19 Precession and nutation models in gyro theory
 20 Mathematical model of a “man — artificialkidney” system
 21 Approximate models of an aircraft motion
 22 Automobile motion decomposition
 References
 Author Index
 Isbn
 9781461241300
 Label
 Fractional Analysis : Methods of Motion Decomposition
 Title
 Fractional Analysis
 Title remainder
 Methods of Motion Decomposition
 Statement of responsibility
 by I.V. Novozhilov
 Language

 eng
 eng
 Summary
 This book considers methods of approximate analysis of mechanical, elec tromechanical, and other systems described by ordinary differential equa tions. Modern mathematical modeling of sophisticated mechanical systems consists of several stages: first, construction of a mechanical model, and then writing appropriate equations and their analytical or numerical ex amination. Usually, this procedure is repeated several times. Even if an initial model correctly reflects the main properties of a phenomenon, it de scribes, as a rule, many unnecessary details that make equations of motion too complicated. As experience and experimental data are accumulated, the researcher considers simpler models and simplifies the equations. Thus some terms are discarded, the order of the equations is lowered, and so on. This process requires time, experimentation, and the researcher's intu ition. A good example of such a semiexperimental way of simplifying is a gyroscopic precession equation. Formal mathematical proofs of its admis sibility appeared some several decades after its successful introduction in engineering calculations. Applied mathematics now has at its disposal many methods of approxi mate analysis of differential equations. Application of these methods could shorten and formalize the procedure of simplifying the equations and, thus, of constructing approximate motion models. Wide application of the methods into practice is hindered by the fol lowing. 1. Descriptions of various approximate methods are scattered over the mathematical literature. The researcher, as a rule, does not know what method is most suitable for a specific case. 2
 http://library.link/vocab/creatorName
 Novozhilov, I.V
 Dewey number
 515.2433
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 u5_LzgcUS5A
 Image bit depth
 0
 Language note
 English
 LC call number
 QA403.5404.5
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/subjectName

 Fourier analysis
 Mathematics
 Mechanical engineering
 Mathematical physics
 Integral Transforms
 Fourier Analysis
 Applications of Mathematics
 Mechanical Engineering
 Mathematical Methods in Physics
 Real Functions
 Integral Transforms, Operational Calculus
 Label
 Fractional Analysis : Methods of Motion Decomposition, by I.V. Novozhilov, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references and indexes
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 I Dimensional analysis and small parameters  1 Dimensional analysis  2 Introduction of small parameters  II Regularly perturbed systems. Expansions of solutions  3 The Poincaré theorem. The algorithm of expansion  4 Applications of the Poincaré theorem  5 Poincaré  Lyapunov method  5.1 Algorithm of the method  5.2 Examples. Nonisochronism of nonlinear system oscillations  III Decomposition of motion in systems with fast phase  6 Method of averaging in systems with a single fast phase  7 Applications of the method of averaging  8 Method of harmonic linearization  9 Method of averaging in systems with several fast phases  10 Averaging in systems without explicit periodicities  IV Decomposition of motion in systems with boundary layer  11 Tikhonov theorem  12 Application of the Tikhonov theorem  13 Asymptotic expansion of solutions for systems with a boundary layer  V Decomposition of motion in systems with discontinuous characteristics  14 Definition of a solution in discontinuity points  15 Examples  VI Correctness of limit models  16 Limit model of holonomic constraint (absolutely rigid body)  17 Limit model of kinematic constraints  18 Limit model of servoconstraint  19 Precession and nutation models in gyro theory  20 Mathematical model of a “man — artificialkidney” system  21 Approximate models of an aircraft motion  22 Automobile motion decomposition  References  Author Index
 Dimensions
 unknown
 Edition
 1st ed. 1997.
 Extent
 1 online resource (X, 232 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781461241300
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781461241300
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000090717
 (SSID)ssj0001296763
 (PQKBManifestationID)11847469
 (PQKBTitleCode)TC0001296763
 (PQKBWorkID)11353090
 (PQKB)10144793
 (DEHe213)9781461241300
 (MiAaPQ)EBC3075522
 (EXLCZ)993400000000090717
 Label
 Fractional Analysis : Methods of Motion Decomposition, by I.V. Novozhilov, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references and indexes
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 I Dimensional analysis and small parameters  1 Dimensional analysis  2 Introduction of small parameters  II Regularly perturbed systems. Expansions of solutions  3 The Poincaré theorem. The algorithm of expansion  4 Applications of the Poincaré theorem  5 Poincaré  Lyapunov method  5.1 Algorithm of the method  5.2 Examples. Nonisochronism of nonlinear system oscillations  III Decomposition of motion in systems with fast phase  6 Method of averaging in systems with a single fast phase  7 Applications of the method of averaging  8 Method of harmonic linearization  9 Method of averaging in systems with several fast phases  10 Averaging in systems without explicit periodicities  IV Decomposition of motion in systems with boundary layer  11 Tikhonov theorem  12 Application of the Tikhonov theorem  13 Asymptotic expansion of solutions for systems with a boundary layer  V Decomposition of motion in systems with discontinuous characteristics  14 Definition of a solution in discontinuity points  15 Examples  VI Correctness of limit models  16 Limit model of holonomic constraint (absolutely rigid body)  17 Limit model of kinematic constraints  18 Limit model of servoconstraint  19 Precession and nutation models in gyro theory  20 Mathematical model of a “man — artificialkidney” system  21 Approximate models of an aircraft motion  22 Automobile motion decomposition  References  Author Index
 Dimensions
 unknown
 Edition
 1st ed. 1997.
 Extent
 1 online resource (X, 232 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781461241300
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781461241300
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000090717
 (SSID)ssj0001296763
 (PQKBManifestationID)11847469
 (PQKBTitleCode)TC0001296763
 (PQKBWorkID)11353090
 (PQKB)10144793
 (DEHe213)9781461241300
 (MiAaPQ)EBC3075522
 (EXLCZ)993400000000090717
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/FractionalAnalysisMethodsofMotion/rM71OqAE2V0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/FractionalAnalysisMethodsofMotion/rM71OqAE2V0/">Fractional Analysis : Methods of Motion Decomposition, by I.V. Novozhilov, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Fractional Analysis : Methods of Motion Decomposition, by I.V. Novozhilov, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/FractionalAnalysisMethodsofMotion/rM71OqAE2V0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/FractionalAnalysisMethodsofMotion/rM71OqAE2V0/">Fractional Analysis : Methods of Motion Decomposition, by I.V. Novozhilov, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>