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Mechanical vibrations 2nd ed

Mechanical vibrations 2nd ed (38회 대출)

자료유형
단행본
개인저자
Rao, S. S.
서명 / 저자사항
Mechanical vibrations / Singiresu S. Rao.
판사항
2nd ed.
발행사항
Reading, Mass. :   Addison-Wesley,   c1990.  
형태사항
xxv, 718 p. : ill. ; 25 cm.
총서사항
Addison-Wesley series in mechanical engineering.
ISBN
0201501562
서지주기
Includes bibliographical references and index.
일반주제명
Vibration.
000 00740camuuu200253 a 4500
001 000000533655
005 19981127105837.0
008 890515s1990 maua b 001 0 eng
010 ▼a 89034632
020 ▼a 0201501562
040 ▼a DLC ▼c DLC
049 1 ▼l 421112178 ▼f 과학 ▼l 421112179 ▼f 과학
050 0 0 ▼a TA355 ▼b .R37 1990
082 0 0 ▼a 620.3 ▼2 20
090 ▼a 620.3 ▼b R215m2
100 1 ▼a Rao, S. S.
245 1 0 ▼a Mechanical vibrations / ▼c Singiresu S. Rao.
250 ▼a 2nd ed.
260 ▼a Reading, Mass. : ▼b Addison-Wesley, ▼c c1990.
300 ▼a xxv, 718 p. : ▼b ill. ; ▼c 25 cm.
440 0 ▼a Addison-Wesley series in mechanical engineering.
504 ▼a Includes bibliographical references and index.
650 0 ▼a Vibration.

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
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No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 620.3 R215m2 등록번호 421112178 도서상태 대출가능 반납예정일 예약 서비스 B M
No. 2 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 620.3 R215m2 등록번호 421112179 도서상태 대출가능 반납예정일 예약 서비스 B M
No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 세종학술정보원/과학기술실/ 청구기호 620.3 R215m2 등록번호 452074313 도서상태 대출가능 반납예정일 예약 서비스

컨텐츠정보

목차


CONTENTS
CHAPTER 1 Fundamentals of Vibration
 1.1 Preliminary Remarks = 1
 1.2 Brief History of Vibration = 1
 1.3 Importance of the Study of Vibration = 4
 1.4 Basic Concepts of Vibration = 7
  1.4.1 Vibration = 7
  1.4.2 Elementary parts of vibrating systems = 7
  1.4.3 Degree of freedom = 8
  1.4.4 Discrete and continuous systems = 10
 1.5 Classification of Vibration = 10
  1.5.1 Free and forced vibration = 10
  1.5.2 Undamped and damped vibration = 11
  1.5.3 Linear and nonlinear vibration = 11
  1.5.4 Deterministic and random vibration = 11
 1.6 Vibration Analysis Procedure = 12
 1.7 Spring Elements = 14
  1.7.1 Combination of springs = 16
 1.8 Mass or Inertia Elements = 21
  1.8.1 Combination of masses = 22
 1.9 Damping Elements = 25
  1.9.1 Construction of viscous dampers = 26
  1.9.2 Combination of dampers = 27
 1.10 Harmonic Motion = 30
  1.10.1 Vectorial representation of harmonic motion = 32
  1.10.2 Complex number representation of harmonic motion = 32
  1.10.3 Definitions = 36
 1.11 Harmonic Analysis = 37
  1.11.1 Fourier series expansion = 37
  1.11.2 Even and odd functions = 39
  1.11.3 Half range expansions = 41
  1.11.4 Numerical computation of coefficients = 41
 1.12 Vibration Literature = 45
 1.13 Computer Program = 45
References = 47
Review Questions = 49
Problems = 50
CHAPTER 2 Free Vibration of Single Degree of Freedom Systems
 2.1 Introduction = 63
 2.2 Free Vibration of an Undamped Translational System = 65
  2.2.1 Equation of motion using Newton's second law of motion = 65
  2.2.2 Equation of motion using the principle of conservation of energy = 67
  2.2.3 Solution = 67
  2.2.4 Harmonic motion = 68
 2.3 Free Vibration of an Undamped Torsional System = 72
  2.3.1 Equation of motion = 73
  2.3.2 Solution = 74
 2.4 Stability Conditions = 77
 2.5 Energy Method = 79
 2.6 Free Vibration with Viscous Damping = 83
  2.6.1 Equation of motion = 83
  2.6.2 Solution = 84
  2.6.3 Logarithmic decrement = 89
  2.6.4 Energy dissipated in viscous damping = 91
  2.6.5 Torsional systems with viscous damping = 92
 2.7 Free Vibration with Coulomb Damping = 97
  2.7.1 Equation of motion = 97
  2.7.2 Solution = 98
  2.7.3 Torsional systems with Coulomb damping = 100
 2.8 Free Vibration with Hysteretic Damping = 102
 2.9 Computer Program = 107
References = 110
Review Questions = 111
Problems = 112
CHAPTER 3 Harmonically Excited Vibration
 3.1 Introduction = 127
 3.2 Equation of Motion = 128
 3.3 Response of an Undamped System Under Harmonic Force = 129
  3.3.1 Total response = 132
  3.3.2 Beating phenomenon = 133
 3.4 Response of a Damped System Under Harmonic Force = 136
  3.4.1 Total response = 139
  3.4.2 Quality factor and bandwidth = 139
 3.5 Response of a Damped System Under F(t) = $$F_0$$$$e^iωt$$
 3.6 Response of a Damped System Under the Harmonic Motion of the Base = 144
  3.6.1 Force transmitted = 145
  3.6.2 Relative motion = 146
 3.7 Response of a Damped System Under Rotating Unbalance = 149
 3.8 Forced Vibration with Coulomb Damping = 153
 3.9 Forced Vibration with Hysteresis Damping = 157
 3.10 Forced Motion with Other Types of Damping = 159
 3.11 Self Excitation and Stability Analysis = 160
 3.12 Computer Program = 163
References = 164
Review Questions = 165
Problems = 166
CHAPTER 4 Vibration under General Forcing Conditions
 4.1 Introduction = 175
 4.2 Response Under a General Periodic Force = 175
 4.3 Response Under a Periodic Force of Irregular Form = 180
 4.4 Response Under Nonperiodic Force = 182
 4.5 Convolution Integral = 182
  4.5.1 Response to an impulse = 183
  4.5.2 Response to general forcing condition = 184
  4.5.3 Response to base excitation = 186
 4.6 Response Spectrum = 193
  4.6.1 Response spectrum for base excitation = 195
 4.7 Laplace Transformation = 198
 4.8 Response to Irregular Forcing Conditions Using Numerical Methods = 203
 4.9 Computer Programs = 211
  4.9.1 Response under an arbitrary periodic forcing function = 211
  4.9.2 Response under arbitrary forcing function using the methods of section 4.8 = 213
References = 217
Review Questions = 217
Problems = 218
CHAPTER 5 Two Degree of Freedom Systems
 5.1 Introduction = 227
 5.2 Equations of Motion for Forced Vibration = 229
 5.3 Free Vibration Analysis of an Undamped System = 230
 5.4 Torsional System = 237
 5.5 Coordinate Coupling and Principal Coordinates = 239
 5.6 Forced Vibration Analysis = 245
 5.7 Semi-Definite Systems = 248
 5.8 Self-Excitation and Stability Analysis = 249
 5.9 Computer Programs = 250
  5.9.1 Roots of a quadratic equation = 251
  5.9.2 Roots of a cubic equation = 252
  5.9.3 Roots of a quartic equation = 253
References = 255
Review Questions = 256
Problems = 256
CHAPTER 6 Multidegree of Freedom Systems
 6.1 Introduction = 269
 6.2 Multidegree of Freedom Spring-Mass System = 269
 6.3 Influence Coefficients = 271
 6.4 Potential and Kinetic Energy Expressions in Matrix Form = 276
 6.5 Generalized Coordinates and Generalized Forces = 278
 6.6 Lagrange's Equations = 279
 6.7 General Equations of Motion in Matrix Form = 281
 6.8 Eigenvalue Problem = 283
 6.9 Solution of the Eigenvalue Problem = 285
  6.9.1 Solution of the characteristic (polynomial) equation = 285
  6.9.2 Orthogonality of normal modes = 289
  6.9.3 Repeated eigenvalues = 292
 6.10 Expansion Theorem = 294
 6.11 Unrestrained Systems = 294
 6.12 Forced Vibration = 298
 6.13 Viscously Damped Systems = 300
 6.14 Self-Excitation and Stability Analysis = 306
 6.15 Computer Programs = 308
  6.15.1 Generating the characteristic polynomial from the matrix = 308
  6.15.2 Roots of an nth order polynomial equation with complex coefficients = 310
  6.15.3 Modal analysis of a multidegree of freedom system = 313
  6.16.4 Solution of simultaneous linear equations = 316
References = 319
Review Questions = 319
Problems = 320
CHAPTER 7 Determination of Natural Frequencies and Mode Shapes
 7.1 Introduction = 331
 7.2 Dunkerley's Formula = 332
 7.3 Rayleigh's Method = 334
  7.3.1 Properties of Rayleigh's quotient = 335
  7.3.2 Computation of the fundamental natural frequency = 336
  7.3.3 Fundamental frequency of beams and shafts = 338
 7.4 Holzer's Method = 341
  7.4.1 Torsional systems = 341
  7.4.2 Spring-mass systems = 345
 7.5 Matrix Iteration Method = 345
  7.5.1 Convergence to the highest natural frequency = 348
  7.5.2 Computation of intermediate natural frequencies = 343
 7.6 Jacobi's Method = 352
 7.7 Standard Eigenvalue Problem = 354
  7.7.1 Choleski decomposition = 355
  7.7.2 Other solution methods = 356
 7.8 Computer Programs = 357
  7.8.1 Jacobi's method = 357
  7.8.2 Matrix iteration method = 359
  7.8.3 Choleski decomposition = 362
  7.8.4 Eigenvalue solution using Choleski decomposition = 363
References = 365
Review Questions = 367
Problems = 368
CHAPTER 8 Continuous Systems
 8.1 Introduction = 375
 8.2 Transverse Vibration of a String or Cable = 376
  8.2.1 Equation of motion = 376
  8.2.2 Initial and boundary conditions = 377
  8.2.3 Free vibration of a uniform string = 378
  8.2.4 Free vibration of a string with both ends fixed = 379
  8.2.5 Traveling-wave solution = 382
 8.3 Longitudinal Vibration of a Bar or Rod = 383
  8.3.1 Equation of motion and solution = 383
  8.3.2 Orthogonality of normal functions = 386
 8.4 Torsional Vibration of a Shaft or Rod = 391
 8.5 Lateral Vibration of Beams = 394
  8.5.1 Equation of motion = 394
  8.5.2 Initial conditions = 396
  8.5.3 Free vibration = 396
  8.5.4 Boundary conditions = 397
  8.5.5 Orthogonality of normal functions = 399
  8.5.6 Effect of axial force = 402
  8.5.7 Effects of rotary inertia and shear deformation = 404
  8.5.8 Other effects = 408
 8.6 Vibration of Membranes = 409
  8.6.1 Equation of motion = 409
  8.6.2 Initial and boundary conditions = 410
 8.7 Rayleigh's Method = 412
 8.8 The Rayleigh-Ritz Method = 414
 8.9 Computer Program = 417
References = 420
Review Questions = 421
Problems = 422
CHAPTER 9 Vibration Control
 9.1 Introduction = 433
 9.2 Reduction of Vibration at the Source = 434
 9.3 Balancing of Rotating Machines = 434
  9.3.1 Single-plane balancing = 434
  9.3.2 Two-plane balancing = 439
 9.4 Critical Speeds of Rotating Shafts = 443
  9.4.1 Equations of motion = 443
  9.4.2 Critical speeds = 445
  9.4.3 Response of the system = 445
  9.4.4 Stability analysis = 447
 9.5 Balancing of Reciprocating Engines = 448
  9.5.1 Unbalanced forces due to fluctuations in gas pressure = 448
  9.5.2 Unbalanced forces due to inertia of the moving parts = 450
  9.5.3 Balancing of reciprocating engines = 452
 9.6 Control of Vibration = 454
 9.7 Control of Natural Frequencies = 454
 9.8 Introduction of Damping = 455
 9.9 Use of Vibration Isolators = 456
  9.9.1 Vibration isolation system with rigid foundation = 458
  9.9.2 Vibration isolation system with flexible foundation = 460
  9.9.3 Vibration isolation system with partially flexible foundation = 463
  9.9.4 Active vibration control = 464
 9.10 Use of Vibration Absorbers = 465
  9.10.1 Dynamic vibration absorber = 406
  9.10.2 Damped dynamic vibration absorber = 470
 9.11 Computer Program = 472
References = 475
Review Questions = 477
Problems = 478
CHAPTER 10 Vibration Measurement
 10.1 Introduction = 487
 10.2 Transducers = 489
  10.2.1 Variable resistance transducers = 489
  10.2.2 Piezoelectric transducers = 491
  10.2.3 Electrodynamic transducers = 492
  10.2.4 Linear variable differential transformer (LVDT) transducer = 493
 10.3 Vibration Pickups = 494
  10.3.1 Vibrometer = 495
  10.3.2 Accelerometer = 497
  10.3.3 Velometer = 499
  10.3.4 Phase distortion = 501
 10.4 Frequency Measuring Instruments = 503
 10.5 Vibration Exciters = 504
  10.5.1 Mechanical exciters = 505
  10.5.2 Electrodynamic shaker = 506
 10.6 Signal Analysis = 508
  10.6.1 Spectrum analyzers = 509
  10.6.2 Bandpass filter = 510
  10.6.3 Constant percent bandwidth and constant bandwidth analyzers = 511
 10.7 Dynamic Testing of Machines and Structures = 512
  10.7.1 Using operational deflection shape measurements = 512
  10.7.2 Using modal testing = 513
 10.8 Modal Analysis = 513
  10.8.1 Introduction = 513
  10.8.2 Types of forcing functions = 514
  10.8.3 Representation of frequency response data = 514
  10.8.4 Multidegree of freedom system = 518
References = 518
Review Questions = 519
Problems = 520
CHAPTER 11 Numerical Integration Methods in Vibration Analysis
 11.1 Introduction = 523
 11.2 Finite Difference Method = 524
 11.3 Central Difference Method for Single Degree of Freedom Systems = 525
 11.4 Runge-Kutta Method for Single Degree of Freedom Systems = 529
 11.5 Central Difference Method for Multidegree of Freedom Systems = 530
 11.6 Finite Difference Method for Continuous Systems = 534
  11.6.1 Longitudinal vibration of bars = 534
  11.6.2 Transverse vibration of beams = 536
 11.7 Runge-Kutta Method for Multidegree of Freedom Systems = 539
 11.8 Houbolt Method = 541
 11.9 Wilson Method = 545
 11.10 Newmark Method = 548
 11.11 Computer Programs = 550
  11.11.1 Fourth order Runge-Kutta method = 550
  11.11.2 Central difference method = 553
  11.11.3 Houbolt method = 556
References = 561
Review Questions = 562
Problems = 562
CHAPTER 12 Finite Element Method
 12.1 Introduction = 567
 12.2 Equations of Motion of an Element = 568
 12.3 Mass Matrix, Stiffness Matrix, and Force Vector = 570
  12.3.1 Bar element = 570
  12.3.2 Torsion element = 572
  12.3.3 Beam element = 573
 12.4 Transformation of Element Matrices and Vectors = 575
 12.5 Equations of Motion of the Complete System of Finite Elements = 577
 12.6 Incorporation of Boundary Conditions = 579
 12.7 Consistent and Lumped Mass Matrices = 586
  12.7.1 Lumped mass matrix for a bar element = 586
  12.7.2 Lumped mass matrix for a beam element = 586
  12.7.3 Lumped mass versus consistent mass matrices = 587
 12.8 Computer Program = 598
References = 592
Review Questions = 592
Problems = 593
CHAPTER 13 Nonlinear Vibration
 13.1 Introduction = 605
 13.2 Examples of Nonlinear Vibration Problems = 606
  13.2.1 Simple pendulum = 606
  13.2.2 Mechanical chatter, belt friction system = 607
  13.2.3 Variable mass system = 608
 13.3 Exact Methods = 609
 13.4 Approximate Analytical Methods = 610
  13.4.1 Basic philosophy = 610
  13.4.2 Lindstedt's perturbation method = 612
  13.4.3 Iterative method = 614
  13.4.4 Ritz-Galerkin method = 618
 13.5 Subharmonic and Superharmonic Oscillations = 620
  13.5.1 Subharmonic oscillations = 620
  13.5.2 Superharmonic solution = 623
 13.6 Systems with Time-Dependent Coefficients (Mathieu Equation) = 623
 13.7 Graphical Methods = 628
  13.7.1 Phase plane representation = 628
  13.7.2 Phase velocity = 632
  13.7.3 Method of constructing trajectories = 633
  13.7.4 Obtaining time solution from phase plane trajectories = 634
 13.8 Stability of Equilibrium States = 635
  13.8.1 Sability analysis = 635
  13.8.1 Classification of singular points = 637
 13.9 Limit Cycles = 639
 13.10 Numerical Methods = 640
 13.11 Computer Program = 641
References = 643
Review Questions = 645
Problems = 645
CHAPTER 14 Random Vibration
 14.1 Introduction = 651
 14.2 Random Variables and Random Processes = 652
 14.3 Probability Distribution = 653
 14.4 Mean Value and Standard Deviation = 654
 14.5 Joint Probability Distribution of Several Random Variables = 656
 14.6 Correlation Functions of a Random Process = 657
 14.7 Stationary Random Process = 658
 14.8 Gaussian Random Process = 661
 14.9 Fourier Analysis = 663
  14.9.1 Fourier series = 663
  14.9.2 Fourier integral = 666
 14.10 Power Spectral Density = 669
 14.11 Wide-Rand and Narrow-Band Processes = 671
 14.12 Response of a Single Degree of Freedom System = 674
  14.12.1 Impulse response approach = 675
  14.12.2 Frequency response approach = 676
  14.12.3 Characteristics of the response function = 677
 14.13  Response Due to Stationary Random Excitations = 677
  14.13.1 Impulse response approach = 678
  14.13.2 Frequency response approach = 679
References = 684
Review Questions = 685
Problems = 686
APPENDIX A Matrices = 693
 A.1 Definitions = 693
 A.2 Basic Matrix Operations = 697
References = 698
APPENDIX B Laplace Transform Pairs = 699
APPENDIX C Units = 701
References = 703
Answers to Selected Problems = 705
Index = 713


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