Vibrations and stability: advanced theory, analysis, and tools
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| Language: | English |
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Berlin [u.a.]
Springer
2003
|
| Edition: | 2. ed. |
| Series: | Springer complexity
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| Physical Description: | XXI, 404 S. graph. Darst. |
| ISBN: | 3540401407 |
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| 084 | |a PHY 204f |2 stub | ||
| 100 | 1 | |a Thomsen, Jon Juel |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Vibrations and stability |b advanced theory, analysis, and tools |c Jon Juel Thomsen |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2003 | |
| 300 | |a XXI, 404 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Springer complexity | |
| 650 | 4 | |a Vibration | |
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| adam_text |
CONTENTS XIII CONTENTS
PREFACE.
VII CONTENTS
.XIII
NOTATION.
XXI 1 VIBRATION BASICS
.
1 1.1 INTRODUCTION
.
1 1.2 SINGLE DEGREE OF FREEDOM
SYSTEMS. 2
1.2.1 UNDAMPED FREE VIBRATIONS
. 2
1.2.2 DAMPED FREE VIBRATIONS
. 2
1.2.3 HARMONIC FORCING
.
3 1.2.4 ARBITRARY FORCING
.
4 1.3 MULTIPLE DEGREE OF FREEDOM SYSTEMS
. 4 1.3.1
EQUATIONS OF MOTION
.
5 1.3.2 UNDAMPED FREE VIBRATIONS
. 6
1.3.3 ORTHOGONALITY OF
MODES.
7 1.3.4 DAMPED FREE VIBRATIONS
. 7
1.3.5 HARMONICALLY FORCED VIBRATIONS, NO DAMPING
. 7 1.3.6 HARMONICALLY FORCED
VIBRATIONS, DAMPING INCLUDED . 8 1.3.7 GENERAL
PERIODIC FORCING
. 9
1.3.8 ARBITRARY FORCING,
TRANSIENTS.
9 1.4 CONTINUOUS SYSTEMS
.
10 1.4.1 EQUATIONS OF MOTION
.
10 1.4.2 UNDAMPED FREE VIBRATIONS
. 11
1.4.3 ORTHOGONALITY OF
MODES.
12 1.4.4 NORMAL
COORDINATES.
13 1.4.5 FORCED VIBRATIONS, NO
DAMPING. 13 1.4.6
FORCED VIBRATIONS, DAMPING
INCLUDED. 14 1.4.7
RAYLEIGH*S
METHOD.
15 1.4.8 RITZ METHOD
.
16 1.5 ENERGY METHODS FOR SETTING UP EQUATIONS OF
MOTION. 17 1.5.1 LAGRANGE*S
EQUATIONS.
17 1.5.2 HAMILTON*S PRINCIPLE
.
18 XIV CONTENTS 1.5.3 FROM PDES TO ODES: MODE SHAPE
EXPANSION. 21 1.5.4 BYPASSING PDES:
USING LAGRANGE*S EQUATIONS WITH CONTINUOUS
SYSTEMS.
23 1.6
PROBLEMS.
25 2 EIGENVALUE PROBLEMS OF VIBRATIONS AND STABILITY
. 27 2.1 INTRODUCTION
.
27 2.2 THE ALGEBRAIC EVP
.
27 2.2.1 MATHEMATICAL
FORM.
28 2.2.2 PROPERTIES OF EIGENVALUES AND
EIGENVECTORS. 28 2.2.3 METHODS OF
SOLUTION.
29 2.3 THE DIFFERENTIAL
EVP.
29 2.3.1 MATHEMATICAL
FORM.
30 2.4 STABILITY-RELATED
EVPS.
31 2.4.1 THE CLAMPED-HINGED EULER COLUMN
. 31 2.4.2 THE PARADOX
OF FOLLOWER-LOADING
. 34 2.4.3 BUCKLING
BY
GRAVITY.
35 2.5 VIBRATION-RELATED
EVPS.
36 2.5.1 AXIAL VIBRATIONS OF STRAIGHT
RODS. 36 2.5.2
FLEXURAL VIBRATIONS OF BEAMS
. 37 2.6
CONCEPTS OF DIFFERENTIAL EVPS
. 39
2.6.1 MULTIPLICITY
.
40 2.6.2 CLASSES OF BOUNDARY CONDITIONS: ESSENTIAL AND SUPPRESSIBLE
. 40 2.6.3 FUNCTION-CLASSES: EIGEN-, TEST-, AND ADMISSIBLE
FUNCTIONS . 41 2.6.4 ADJOINTNESS
.
41 2.6.5 DEFINITENESS
.
42 2.6.6
ORTHOGONALITY.
43 2.6.7 THREE CLASSES OF
EVPS.
43 2.6.8 THE RAYLEIGH
QUOTIENT.
43 2.7 PROPERTIES OF EIGENVALUES AND EIGENFUNCTIONS
. 44 2.7.1 REAL-VALUENESS OF
EIGENVALUES .
44 2.7.2 SIGN OF THE EIGENVALUES
. 44
2.7.3 ORTHOGONALITY OF
EIGENFUNCTIONS.
45 2.7.4 MINIMUM PROPERTIES OF THE
EIGENVALUES. 46 2.7.5 THE
COMPARISON THEOREM
. 47
2.7.6 THE INCLUSION THEOREM FOR ONE-TERM EVPS
. 48 2.8 METHODS OF SOLUTION
.
49 2.8.1 CLOSED-FORM SOLUTIONS
.
50 2.8.2 THE METHOD OF EIGENFUNCTION ITERATION
. 50 2.8.3 THE RAYLEIGH*RITZ
METHOD.
51 2.8.4 THE FINITE DIFFERENCE METHOD
. 54 2.8.5
COLLOCATION.
58 2.8.6 COMPOSITE EVPS: DUNKERLEY*S AND SOUTHWELL*S
FORMULAS. 59 2.8.7 OTHER METHODS
.
60 CONTENTS XV 2.9
PROBLEMS.
60 3 NONLINEAR VIBRATIONS: CLASSICAL LOCAL THEORY
. 65 3.1 INTRODUCTION
.
65 3.2 SOURCES OF
NONLINEARITY.
66 3.2.1 GEOMETRICAL NONLINEARITIES
. 66
3.2.2 MATERIAL NONLINEARITIES
.
68 3.2.3 NONLINEAR BODY FORCES
.
69 3.2.4 PHYSICAL CONFIGURATION NONLINEARITIES
. 70 3.3 MAIN EXAMPLE:
PENDULUM WITH AN OSCILLATING SUPPORT . 71
3.3.1 EQUATION OF
MOTION.
72 3.4 QUALITATIVE ANALYSIS OF THE UNFORCED
RESPONSE. 73 3.4.1 RECASTING THE
EQUATIONS INTO FIRST-ORDER FORM . 73
3.4.2 THE PHASE PLANE
.
74 3.4.3 SINGULAR
POINTS.
76 3.4.4 STABILITY OF SINGULAR POINTS
. 77
3.4.5 ON THE BEHAVIOR OF ORBITS NEAR SINGULAR
POINTS. 79 3.5 QUANTITATIVE ANALYSIS
.
85 3.5.1 PERTURBATION
METHODS.
85 3.5.2 THE STRAIGHTFORWARD EXPANSION
. 86 3.5.3 THE
METHOD OF MULTIPLE
SCALES. 88
3.5.4 THE METHOD OF HARMONIC
BALANCE. 92 3.5.5
THE METHOD OF
AVERAGING.
94 3.6 THE FORCED RESPONSE * MULTIPLE SCALES
ANALYSIS. 96 3.6.1 POSING THE
PROBLEM
.
96 3.6.2 PERTURBATION
EQUATIONS.
97 3.6.3 THE NON-RESONANT
CASE.
99 3.6.4 THE NEAR-RESONANT
CASE.
100 3.6.5 STABILITY OF STATIONARY SOLUTIONS
. 102 3.6.6
DISCUSSING STATIONARY
RESPONSES. 105 3.7
EXTERNALLY EXCITED DUFFING SYSTEMS
. 110 3.7.1 TWO
PHYSICAL
EXAMPLES.
111 3.7.2 PRIMARY RESONANCE, WEAK EXCITATIONS
. 116 3.7.3 NON-RESONANT HARD
EXCITATIONS. 122
3.7.4 OBTAINING FORCED RESPONSES BY
AVERAGING. 128 3.8 CONCLUDING
REMARKS
.
130 3.9
PROBLEMS.
130 4 NONLINEAR MULTIPLE-DOF SYSTEMS: LOCAL ANALYSIS
. 137 4.1 INTRODUCTION
.
137 4.2 THE AUTOPARAMETRIC VIBRATION
ABSORBER. 138 4.2.1 THE
SYSTEM
.
138 4.2.2 FIRST-ORDER APPROXIMATE RESPONSE
. 140 4.2.3 FREQUENCY
AND FORCE RESPONSES
. 144 XVI CONTENTS
4.2.4 CONCLUDING REMARKS ON THE VIBRATION
ABSORBER. 147 4.3 NONLINEAR MODE-COUPLING OF
NON-SHALLOW ARCHES. 147 4.3.1 THE
MODEL.
148 4.3.2 LINEAR RESPONSE AND STABILITY
. 149 4.3.3
NONLINEAR RESPONSE AND
STABILITY. 150 4.4
OTHER SYSTEMS POSSESSING INTERNAL
RESONANCE. 154 4.5 THE
FOLLOWER-LOADED DOUBLE PENDULUM
. 155 4.5.1 THE
MODEL.
156 4.5.2 THE ZERO SOLUTION AND ITS STABILITY
. 158 4.5.3 PERIODIC
SOLUTIONS.
160 4.5.4 NON-PERIODIC AND NON-ZERO STATIC SOLUTIONS
. 164 4.5.5 SUMMING
UP.
164 4.6 PENDULUM WITH A SLIDING
DISK.
165 4.6.1
INTRODUCTION.
165 4.6.2 THE SYSTEM
.
165 4.6.3 EQUATIONS OF MOTION
.
166 4.6.4 INSPECTING THE EQUATIONS OF
MOTION. 167 4.6.5
SEEKING QUASI-STATICAL EQUILIBRIUMS BY AVERAGING
. 167 4.7 STRING WITH A SLIDING POINTMASS
. 168 4.7.1
MODEL SYSTEM AND EQUATIONS OF
MOTION. 169 4.7.2 ILLUSTRATION
OF SYSTEM BEHAVIOR
. 172 4.7.3
RESPONSE TO NEAR-RESONANT BASE EXCITATION
. 174 4.7.4 RESPONSE TO SLOW
FREQUENCY-SWEEPS . 177
4.7.5 RESPONSE TO NEAR-RESONANT AXIAL EXCITATION
. 179 4.7.6 NON-TRIVIAL EFFECTS OF
ROTARY INERTIA. 182 4.7.7
SUMMING
UP.
182 4.8 VIBRATION-INDUCED FLUID FLOW IN PIPES
. 183 4.9
PROBLEMS.
185 5 BIFURCATIONS
.
189 5.1 INTRODUCTION
.
189 5.2 SYSTEMS, BIFURCATIONS, AND BIFURCATION
CONDITIONS. 190 5.2.1
SYSTEMS.
190 5.2.2
BIFURCATIONS.
190 5.2.3 BIFURCATION CONDITIONS: STRUCTURAL
INSTABILITY. 191 5.3 CODIMENSION ONE
BIFURCATIONS OF EQUILIBRIUMS . 192
5.3.1 THE PITCHFORK BIFURCATION
. 192
5.3.2 THE SADDLE-NODE BIFURCATION
. 194 5.3.3
THE TRANSCRITICAL
BIFURCATION.
195 5.3.4 THE HOPF
BIFURCATION.
196 5.4 CODIMENSION ONE BIFURCATIONS FOR N -DIMENSIONAL SYSTEMS
. 197 5.4.1 SADDLE-NODE CONDITIONS
. 198
5.4.2 TRANSCRITICAL AND PITCHFORK CONDITIONS
. 199 5.4.3 HOPF
CONDITIONS.
200 CONTENTS XVII 5.5 CENTER MANIFOLD REDUCTION
.
201 5.5.1 THE CENTER MANIFOLD THEOREM
. 202 5.5.2
IMPLICATIONS OF THE
THEOREM. 203
5.5.3 COMPUTING THE CENTER MANIFOLD
REDUCTION. 204 5.5.4 AN EXAMPLE
.
206 5.5.5 SUMMING UP ON CENTER MANIFOLD REDUCTION
. 207 5.6 NORMAL FORM
REDUCTION.
208 5.7 BIFURCATING PERIODIC SOLUTIONS
. 209 5.8
GROUPING BIFURCATIONS ACCORDING TO THEIR EFFECT
. 210 5.9 ON THE STABILITY OF
BIFURCATIONS TO PERTURBATIONS . 211
5.9.1 STABILITY OF A SADDLE-NODE
BIFURCATION. 211 5.9.2
STABILITY OF A SUPERCRITICAL PITCHFORK
BIFURCATION. 212 5.10 SUMMING UP ON
DIFFERENT NOTIONS OF STABILITY. 213
5.11 EXAMPLES
.
215 5.11.1 MIDPLANE STRETCHING (DUFFING*S EQUATION)
. 215 5.11.2 PENDULUM WITH A MOVING
SUPPORT (PARAMETRIC EXCITATION) . 217 5.11.3 THE
AUTOPARAMETRIC VIBRATION ABSORBER
. 219 5.11.4 THE PARTIALLY
FOLLOWER-LOADED DOUBLE PENDULUM. 221 5.12
PROBLEMS.
222 6 CHAOTIC VIBRATIONS
.
225 6.1 INTRODUCTION
.
225 6.2 A FIRST
EXAMPLE.
227 6.3 TOOLS FOR DETECTING CHAOTIC
VIBRATIONS. 229 6.3.1
PHASE
PLANES.
229 6.3.2 FREQUENCY SPECTERS
.
231 6.3.3 POINCARE
MAPS.
231 6.3.4 LYAPUNOV EXPONENTS
.
234 6.3.5 HORIZONS OF PREDICTABILITY
. 238
6.3.6 ATTRACTOR DIMENSIONS
.
240 6.3.7 BASINS OF ATTRACTION
.
241 6.3.8 SUMMARY ON DETECTING TOOLS
. 242 6.4
UNIVERSAL ROUTES TO CHAOS
.
242 6.4.1 THE PERIOD-DOUBLING
ROUTE. 243
6.4.2 THE QUASIPERIODIC ROUTE
. 245
6.4.3 THE TRANSIENT
ROUTE.
246 6.4.4 THE INTERMITTENCY ROUTE
. 248
6.4.5 SUMMARY ON THE ROUTES TO CHAOS
. 249 6.5 TOOLS FOR
PREDICTING THE ONSET OF CHAOS
. 249 6.5.1 CRITERIA
RELATED TO THE UNIVERSAL ROUTES OF CHAOS . 249
6.5.2 SEARCHING FOR HOMOCLINIC TANGLES AND SMALE
HORSESHOES. 251 6.5.3 THE MELNIKOV CRITERION
. 255
6.5.4 CRITERIA BASED ON LOCAL PERTURBATION
ANALYSIS. 259 6.5.5 CRITERIA FOR
CONSERVATIVE
CHAOS. 263 XVIII
CONTENTS 6.6 MECHANICAL SYSTEMS AND CHAOS
. 263 6.6.1
THE LORENZ SYSTEM ( D = 3)
. 263
6.6.2 DUFFING-TYPE SYSTEMS ( D =
3). 264 6.6.3
PENDULUM-TYPE SYSTEMS ( D =
3). 265 6.6.4
PIECEWISE LINEAR SYSTEMS ( D * 3)
. 267 6.6.5 COUPLED
AUTONOMOUS SYSTEMS ( D * 4)
. 268 6.6.6 AUTOPARAMETRIC
SYSTEMS ( D * 5) .
273 6.6.7 HIGH-ORDER SYSTEMS ( D
5). 277
6.6.8 OTHER
SYSTEMS.
277 6.7 ELASTOSTATICAL
CHAOS.
278 6.8 SPATIAL AND SPATIOTEMPORAL
CHAOS. 281 6.9
CONTROLLING CHAOS
.
282 6.10 CLOSING COMMENTS
.
283 6.11
PROBLEMS.
284 7 SPECIAL EFFECTS OF HIGH-FREQUENCY
EXCITATION. 287 7.1
INTRODUCTION
.
287 7.2 THE METHOD OF DIRECT PARTITION OF MOTIONS
(MDPM). 288 7.2.1 OUTLINE OF THE
MDPM.
288 7.2.2 THE CONCEPT OF VIBRATIONAL FORCE
. 291 7.2.3 THE MDPM
COMPARED TO OTHER PERTURBATION APPROACHES. 291 7.3 SIMPLE
EXAMPLES.
292 7.3.1 PENDULUM ON A VIBRATING SUPPORT (STIFFENING AND BIASING)
. 292 7.3.2 MASS ON A VIBRATING PLANE (SMOOTHENING AND
BIASING) . 297 7.3.3 BRUMBERG*S PIPE (SMOOTHENING AND
BIASING). 300 7.4 A SLIGHT BUT USEFUL
GENERALIZATION .
302 7.5 A FAIRLY GENERAL CLASS OF DISCRETE SYSTEMS
. 303 7.5.1 THE SYSTEM
.
303 7.5.2 EXAMPLE FUNCTIONS
.
304 7.5.3 THE AVERAGED SYSTEM GOVERNING THE *SLOW* MOTIONS
. 304 7.5.4 INTERPRETATION OF AVERAGED FORCING TERMS
. 307 7.5.5 THE
EFFECTS.
308 7.5.6 STIFFENING
.
309 7.5.7 BIASING
.
312 7.5.8 SMOOTHENING
.
315 7.6 A GENERAL CLASS OF LINEAR CONTINUOUS SYSTEMS
. 318 7.6.1 THE GENERALIZED
NO-RESONANCE PREDICTION (GNRP). 320 7.6.2 THE
GENERALIZED ANALYTICAL RESONANCE PREDICTION (GARP). 322 7.6.3
EXAMPLE 1: CLAMPED STRING WITH HF BASE EXCITATION.
324 7.6.4 EXAMPLE 2: SQUARE MEMBRANE WITH IN-PLANE HF
EXCITATION. 325 7.7 SPECIFIC SYSTEMS AND RESULTS * SOME
EXAMPLES . 327 7.7.1 USING HF
EXCITATION TO QUENCH FRICTION-INDUCED VIBRATIONS . 327 7.7.2
DISPLACEMENT DUE TO HF EXCITATION AND ASYMMETRIC FRICTION . 329
7.7.3 CHELOMEI*S PENDULUM * RESOLVING A
PARADOX. 329 CONTENTS XIX 7.7.4
STIFFENING OF A FLEXIBLE
STRING. 332 7.8
CONCLUDING REMARKS
.
333 7.9
PROBLEMS.
334 APPENDIX A * PERFORMING NUMERICAL SIMULATIONS
. 339 A.1 SOLVING DIFFERENTIAL
EQUATIONS
. 339 A.2
COMPUTING CHAOS-RELATED QUANTITIES
. 340 A.3 INTERFACING
WITH THE
ODE-SOLVER.
340 A.4 LOCATING SOFTWARE ON THE INTERNET
. 343 APPENDIX
B * MAJOR
EXERCISES.
347 B.1 TENSION CONTROL OF ROTATING SHAFTS
. 347 B.1.1
MATHEMATICAL MODEL
.
348 B.1.2 EIGENVALUE PROBLEM, NATURAL FREQUENCIES AND MODE SHAPES
. 348 B.1.3 DISCRETISATIONS, CHOICE OF CONTROL LAW
. 349 B.1.4 LOCAL BIFURCATION
ANALYSIS FOR A BALANCED SHAFT ( P = ME = 0) . 350 B.1.5
QUANTITATIVE ANALYSIS OF THE CONTROLLED SYSTEM
. 351 B.1.6 USING A DITHER SIGNAL FOR
OPEN-LOOP CONTROL . 352 B.1.7 NUMERICAL
ANALYSIS OF THE CONTROLLED SYSTEM . 352
B.1.8
CONCLUSIONS.
353 B.2 VIBRATIONS OF A SPRING-TENSIONED
BEAM. 353 B.2.1
MATHEMATICAL MODEL
.
353 B.2.2 EIGENVALUE PROBLEM, NATURAL FREQUENCIES AND MODE SHAPES
. 355 B.2.3 DISCRETE MODELS
.
355 B.2.4 LOCAL BIFURCATION ANALYSIS FOR THE UNLOADED SYSTEM
. 356 B.2.5 QUANTITATIVE ANALYSIS OF THE LOADED
SYSTEM . 356 B.2.6 NUMERICAL
ANALYSIS.
357 B.2.7
CONCLUSIONS.
358 B.3 DYNAMICS OF A
MICROBEAM.
358 B.3.1 SYSTEM DESCRIPTION
.
359 B.3.2 MATHEMATICAL MODEL
.
360 B.3.3 EIGENVALUE PROBLEM, NATURAL FREQUENCIES AND MODE SHAPES
. 361 B.3.4 DISCRETE MODELS, MODE SHAPE
EXPANSION. 361 B.3.5 LOCAL
BIFURCATION ANALYSIS FOR THE STATICALLY LOADED SYSTEM. 362 B.3.6
QUANTITATIVE ANALYSIS OF THE LOADED SYSTEM
. 362 B.3.7 NUMERICAL
ANALYSIS.
363 B.3.8
CONCLUSIONS.
364 APPENDIX C * MATHEMATICAL FORMULAS
. 365 C.1
FORMULAS TYPICALLY USED IN PERTURBATION ANALYSIS
. 365 C.1.1 COMPLEX
NUMBERS.
365 C.1.2 POWERS OF TWO-TERM
SUMS. 365
C.1.3 DIRAC*S DELTA FUNCTION ( *
). 366
C.1.4 AVERAGING
INTEGRALS:.
366 XX CONTENTS C.1.5 FOURIER SERIES OF A PERIODIC
FUNCTION. 366 C.2 FORMULAS
FOR STABILITY ANALYSIS
. 366 C.2.1
THE ROUTH-HURWITZ
CRITERION. 366
C.2.2 MATHIEU*S EQUATION:STABILITY OF THE ZERO-SOLUTION
. 367 APPENDIX D * VIBRATION MODES AND
FREQUENCIES FOR STRUCTURAL ELEMENTS. 371 D.1
RODS.
372 D.1.1 LONGITUDINAL VIBRATIONS
. 372
D.1.2 TORSIONAL VIBRATIONS
.
372 D.2 BEAMS
.
372 D.2.1 BERNOULLI-EULER
THEORY.
372 D.2.2 TIMOSHENKO
THEORY.
373 D.3
RINGS.
375 D.3.1 IN-PLANE BENDING
.
375 D.3.2 OUT-OF-PLANE BENDING
.
376 D.3.3 EXTENSION
.
376 D.4 MEMBRANES
.
376 D.4.1 RECTANGULAR
MEMBRANE.
376 D.4.2 CIRCULAR MEMBRANE
.
377 D.5 PLATES
.
377 D.5.1 RECTANGULAR PLATE
.
377 D.5.2 CIRCULAR PLATE
.
378 D.6 OTHER
STRUCTURES.
378 APPENDIX E* PROPERTIES OF ENGINEERING MATERIALS
. 379 E.1 FRICTION AND THERMAL
EXPANSION COEFFICIENTS . 379 E.2
DENSITY AND ELASTICITY
CONSTANTS.
380
REFERENCES.
381
INDEX.
393 |
| any_adam_object | 1 |
| author | Thomsen, Jon Juel |
| author_facet | Thomsen, Jon Juel |
| author_role | aut |
| author_sort | Thomsen, Jon Juel |
| author_variant | j j t jj jjt |
| building | Verbundindex |
| bvnumber | BV017321098 |
| callnumber-first | T - Technology |
| callnumber-label | TA355 |
| callnumber-raw | TA355 |
| callnumber-search | TA355 |
| callnumber-sort | TA 3355 |
| callnumber-subject | TA - General and Civil Engineering |
| classification_rvk | UF 5100 |
| classification_tum | PHY 205f PHY 204f |
| ctrlnum | (OCoLC)249220963 (DE-599)BVBBV017321098 |
| dewey-full | 620.3 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.3 |
| dewey-search | 620.3 |
| dewey-sort | 3620.3 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV017321098 |
| illustrated | Illustrated |
| indexdate | 2024-08-01T00:27:52Z |
| institution | BVB |
| isbn | 3540401407 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010441263 |
| oclc_num | 249220963 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-20 DE-706 DE-634 |
| owner_facet | DE-91G DE-BY-TUM DE-20 DE-706 DE-634 |
| physical | XXI, 404 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer complexity |
| spelling | Thomsen, Jon Juel Verfasser aut Vibrations and stability advanced theory, analysis, and tools Jon Juel Thomsen 2. ed. Berlin [u.a.] Springer 2003 XXI, 404 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer complexity Vibration Mechanische Schwingung (DE-588)4138305-9 gnd rswk-swf Nichtlineare Schwingung (DE-588)4042100-4 gnd rswk-swf Mechanische Schwingung (DE-588)4138305-9 s DE-604 Nichtlineare Schwingung (DE-588)4042100-4 s SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010441263&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Thomsen, Jon Juel Vibrations and stability advanced theory, analysis, and tools Vibration Mechanische Schwingung (DE-588)4138305-9 gnd Nichtlineare Schwingung (DE-588)4042100-4 gnd |
| subject_GND | (DE-588)4138305-9 (DE-588)4042100-4 |
| title | Vibrations and stability advanced theory, analysis, and tools |
| title_auth | Vibrations and stability advanced theory, analysis, and tools |
| title_exact_search | Vibrations and stability advanced theory, analysis, and tools |
| title_full | Vibrations and stability advanced theory, analysis, and tools Jon Juel Thomsen |
| title_fullStr | Vibrations and stability advanced theory, analysis, and tools Jon Juel Thomsen |
| title_full_unstemmed | Vibrations and stability advanced theory, analysis, and tools Jon Juel Thomsen |
| title_short | Vibrations and stability |
| title_sort | vibrations and stability advanced theory analysis and tools |
| title_sub | advanced theory, analysis, and tools |
| topic | Vibration Mechanische Schwingung (DE-588)4138305-9 gnd Nichtlineare Schwingung (DE-588)4042100-4 gnd |
| topic_facet | Vibration Mechanische Schwingung Nichtlineare Schwingung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010441263&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT thomsenjonjuel vibrationsandstabilityadvancedtheoryanalysisandtools |