Dynamics of synchronising systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Russian |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2003
|
| Schriftenreihe: | Foundations of engineering mechanics
Engineering online library |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 317 - 324 |
| Beschreibung: | 326 S. graph. Darst. : 24 cm |
| ISBN: | 3540441956 |
Internformat
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| 100 | 1 | |a Nagaev, Robert F. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Dynamics of synchronising systems |c R. F. Nagaev. Transl. by Alexander K. Belyaev |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2003 | |
| 300 | |a 326 S. |b graph. Darst. : 24 cm | ||
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| 500 | |a Literaturverz. S. 317 - 324 | ||
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Dynamics |x Mathematics | |
| 650 | 4 | |a Synchronization | |
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Datensatz im Suchindex
| _version_ | 1804129591083663360 |
|---|---|
| adam_text | R. F. NAGAEV DYNAMICS OF SYNCHRONISING SYSTEMS TRANSLATED BY ALEXANDER
K. BELYAEV WITH 34 FIGURES SPRINGER CONTENTS INTRODUCTION 3 1 LOCALLY
INTEGRABLE DYNAMICAL SYSTEMS 11 1.1 CONCEPT OF LOCAL INTEGRABILITY 11
1.2 LINEAR HETEROGENEOUS SYSTEMS 16 1.3 PIECEWISE-CONTINUOUS SYSTEMS 20
1.4 HOMOGENEOUS LYAPUNOV SYSTEMS 25 1.5 ON LOCAL INTEGRABILITY OF THE
EQUATIONS OF MOTION OF HESS S GYRO 30 2 CONSERVATIVE DYNAMICAL SYSTEMS
35 2.1 INTRODUCTORY REMARKS 35 2.2 CONSERVATIVE MECHANICAL SYSTEMS 36
2.3 GENERALISED JACOBI INTEGRAL 37 2.4 CONSERVATIVE SYSTEM IN THE
PRESENCE OF THE GENERALISED GYRO- SCOPIC FORCES 39 2.5 ELECTROMECHANICAL
SYSTEMS 42 2.6 PLANAR SYSTEMS WHICH ADMIT THE FIRST INTEGRAL 45 3
DYNAMICAL SYSTEMS IN A PLANE 49 3.1 CONSERVATIVE SYSTEMS IN A PLANE 49
3.2 LIBRATION IN THE CONSERVATIVE SYSTEM WITH A SINGLE DEGREE OF FREEDOM
53 3.3 ROTATIONAL MOTION OF THE CONSERVATIVE SYSTEM WITH ONE DE- GREE OF
FREEDOM 58 8 CONTENTS 3.4 BACKBONE CURVE AND ITS STEEPNESS COEFFICIENT
62 3.5 DYNAMICAL SYSTEM WITH AN INVARIANT RELATIONSHIP 66 3.6
CANONISATION OF A SYSTEM ABOUT THE EQUILIBRIUM POSITION . . 72 3.7
CANONISED FORM OF THE EQUATIONS OF MOTION 77 4 CONSERVATIVE SYSTEMS WITH
MANY DEGREES OF FREEDOM 81 4.1 ACTION-ANGLE VARIABLES 81 4.2
CONSERVATIVE SYSTEMS MOVING BY INERTIA 86 4.3 THE PROBLEM OF SPHERICAL
MOTION OF A FREE RIGID BODY (EULER S CASE) 90 4.4 ON DEGENERATION OF
INTEGRABLE CONSERVATIVE SYSTEMS 93 4.5 CONSERVATIVE SYSTEMS WITH A
SINGLE POSITIONAL COORDINATE . . 97 4.6 MOTION OF AN ELASTICALLY
MOUNTED, UNBALANCED ROTOR 101 4.7 SPHERICAL MOTION OF AN AXISYMMETRIC
HEAVY TOP 104 4.8 SELECTING THE CANONICAL ACTION-ANGLE VARIABLES 107 4.9
NEARLY RECURRENT CONSERVATIVE SYSTEMS 109 5 RESONANT SOLUTIONS FOR
SYSTEMS INTEGRABLE IN GENERATING AP- PROXIMATION 113 5.1 INTRODUCTORY
REMARKS 113 5.2 ON TRANSITION TO THE ANGLE-ACTION VARIABLES 115 5.3
EXCLUDING NON-CRITICAL FAST VARIABLES 119 5.4 AVERAGING EQUATIONS OF
MOTION IN THE VICINITY OF THE CHOSEN TORUS 121 5.5 EXISTENCE AND
STABILITY OF STATIONARY SOLUTION OF THE AVERAGED SYSTEM 128 5.6
EXISTENCE AND STABILITY OF PARTIALLY-AUTONOMOUS TORI . . . 132 5.7
ANISOCHRONOUS AND QUASI-STATIC CRITERIA OF STABILITY OF A SINGLE-
FREQUENCY REGIME 140 5.8 PERIODIC SOLUTIONS OF THE PIECEWISE CONTINUOUS
SYSTEMS . . . 151 6 CANONICAL AVERAGING OF THE EQUATIONS OF QUANTUM
MECHAN- ICS 157 6.1 INTRODUCTORY REMARKS 157 6.2 STATIONARY
SCHRODINGER S EQUATION AS A CLASSICAL HAMILTONIAN SYSTEM 159 6.3 GENERAL
PROPERTIES OF THE CANONICAL FORM OF SCHRODINGER S EQUATION 163 6.4
STATIONARY PERTURBATION OF A NON-DEGENERATE LEVEL OF THE DIS- CRETE
SPECTRUM 166 6.5 STATIONARY EXCITATION OF TWO CLOSE LEVELS 169 6.6
NON-STATIONARY SCHRODINGER S EQUATION AS A HAMILTONIAN SYS- TEM 171 6.7
ADIABATIC APPROXIMATION 174 6.8 POST-ADIABATIC APPROXIMATION 175
CONTENTS 9 6.9 QUANTUM LINEAR OSCILLATOR IN A VARIABLE HOMOGENEOUS FIELD
. 177 6.10 CHARGED LINEAR OSCILLATOR IN AN ADIABATIC HOMOGENEOUS FIELD
179 6.11 ADIABATIC PERTURBATION THEORY 182 6.12 HARMONIC EXCITATION OF A
CHARGED OSCILLATOR. NON-RESONANT CASEL83 6.13 HARMONIC EXCITATION OF AN
OSCILLATOR. TRANSITION THROUGH A RESONANCE 186 7 THE PROBLEM OF WEAK
INTERACTION OF DYNAMICAL OBJECTS 189 7.1 THE TYPES OF CONSERVATIVE
INTERACTION AND CRITERIA OF THEIR WEAKNESS 189 7.2 EXAMPLES OF
INTERACTIONS OF CARRYING AND CARRIED TYPES . . . 192 7.3 EQUATIONS OF
MOTION IN ROUTH S FORM 194 8 SYNCHRONISATION OF ANISOCHRONOUS OBJECTS
WITH A SINGLE DE- GREE OF FREEDOM 197 8.1 ELIMINATING COORDINATES OF THE
CARRYING SYSTEM 197 8.2 THE PRINCIPAL RESONANCE IN THE SYSTEM WITH WEAK
CARRYING INTERACTIONS 200 8.3 DYNAMIC MATRIX AND HARMONIC INFLUENCE
COEFFICIENTS OF THE CARRYING SYSTEM 206 8.4 SYNCHRONISATION OF THE FORCE
EXCITERS OF THE SIMPLEST TYPE . . 213 8.5 EXTREMUM PROPERTIES OF
STATIONARY SYNCHRONOUS MOTIONS . . 218 8.6 SYNCHRONISATION IN A
PIECEWISE CONTINUOUS SYSTEM 225 9 SYNCHRONISATION OF INERTIAL VIBRATION
EXCITERS 235 9.1 INERTIAL VIBRATION EXCITER GENERATED BY ROTATIONAL
FORCES . . . 235 9.2 THE CASE OF A SINGLE VIBRATION EXCITER MOUNTED ON A
CARRYING SYSTEM 242 9.3 STABILITY OF THE SYNCHRONOUS-SYNPHASE REGIME 245
9.4 SELF-SYNCHRONISATION OF VIBRATION EXCITERS OF ANHARMONIC FORCES OF
THE CONSTANT DIRECTION 250 9.5 STABILISATION OF THE WORKING SYNCHRONOUS
REGIME 254 9.6 TWO VIBRATION EXCITERS MOUNTED ON THE CARRYING SYSTEM OF
VIBROIMPACT TYPE 260 10 SYNCHRONISATION OF DYNAMICAL OBJECTS OF THE
GENERAL TYPE 267 10.1 WEAK INTERACTION OF ANISOCHRONOUS AND ISOCHRONOUS
OBJECTS 267 10.2 SYNCHRONISATION OF THE QUASI-CONSERVATIVE OBJECTS WITH
SEV- ERAL DEGREES OF FREEDOM 272 10.3 NON-QUASICONSERVATIVE THEORY OF
SYNCHRONISATION 278 10.4 ON THE INFLUENCE OF FRICTION IN THE CARRYING
SYSTEM ON THE STABILITY OF SYNCHRONOUS MOTION 281 11 PERIODIC SOLUTIONS
IN PROBLEMS OF EXCITATION OF MECHANICAL OSCILLATIONS 287 10 CONTENTS
11.1 SPECIAL FORM OF NOTATION FOR EQUATIONS OF MOTION AND THEIR
SOLUTIONS 287 11.2 INTEGRAL STABILITY CRITERION FOR PERIODIC MOTIONS OF
ELECTROME- CHANICAL SYSTEMS AND SYSTEMS WITH QUASI-CYCLIC COORDINATES
294 11.3 ENERGY RELATIONSHIPS FOR OSCILLATIONS OF CURRENT CONDUCTORS .
303 11.4 ON THE RELATIONSHIP BETWEEN THE RESONANT AND NON-RESONANT
SOLUTIONS 305 11.5 ROUTH S EQUATIONS WHICH ARE LINEAR IN THE POSITIONAL
COORDI- NATES 309 REFERENCES 317 INDEX 325
|
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| author | Nagaev, Robert F. |
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| dewey-search | 620.1/04/01515352 |
| dewey-sort | 3620.1 14 71515352 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Mathematik |
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| id | DE-604.BV014818056 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:07:34Z |
| institution | BVB |
| isbn | 3540441956 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010026898 |
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| owner | DE-703 DE-91G DE-BY-TUM DE-83 |
| owner_facet | DE-703 DE-91G DE-BY-TUM DE-83 |
| physical | 326 S. graph. Darst. : 24 cm |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Springer |
| record_format | marc |
| series2 | Foundations of engineering mechanics Engineering online library |
| spelling | Nagaev, Robert F. Verfasser aut Dynamics of synchronising systems R. F. Nagaev. Transl. by Alexander K. Belyaev Berlin [u.a.] Springer 2003 326 S. graph. Darst. : 24 cm txt rdacontent n rdamedia nc rdacarrier Foundations of engineering mechanics Engineering online library Literaturverz. S. 317 - 324 Mathematik Dynamics Mathematics Synchronization Synchronisierung (DE-588)4130847-5 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Mechanisches System (DE-588)4132811-5 gnd rswk-swf Mechanisches System (DE-588)4132811-5 s Synchronisierung (DE-588)4130847-5 s DE-604 Dynamisches System (DE-588)4013396-5 s HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010026898&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nagaev, Robert F. Dynamics of synchronising systems Mathematik Dynamics Mathematics Synchronization Synchronisierung (DE-588)4130847-5 gnd Dynamisches System (DE-588)4013396-5 gnd Mechanisches System (DE-588)4132811-5 gnd |
| subject_GND | (DE-588)4130847-5 (DE-588)4013396-5 (DE-588)4132811-5 |
| title | Dynamics of synchronising systems |
| title_auth | Dynamics of synchronising systems |
| title_exact_search | Dynamics of synchronising systems |
| title_full | Dynamics of synchronising systems R. F. Nagaev. Transl. by Alexander K. Belyaev |
| title_fullStr | Dynamics of synchronising systems R. F. Nagaev. Transl. by Alexander K. Belyaev |
| title_full_unstemmed | Dynamics of synchronising systems R. F. Nagaev. Transl. by Alexander K. Belyaev |
| title_short | Dynamics of synchronising systems |
| title_sort | dynamics of synchronising systems |
| topic | Mathematik Dynamics Mathematics Synchronization Synchronisierung (DE-588)4130847-5 gnd Dynamisches System (DE-588)4013396-5 gnd Mechanisches System (DE-588)4132811-5 gnd |
| topic_facet | Mathematik Dynamics Mathematics Synchronization Synchronisierung Dynamisches System Mechanisches System |
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