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E-raamat: Vibrations

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(University of Maryland, College Park), (University of Maryland, College Park)
  • Formaat: EPUB+DRM
  • Ilmumisaeg: 01-Nov-2018
  • Kirjastus: Cambridge University Press
  • Keel: eng
  • ISBN-13: 9781108657310
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VibrationsSuurem pilt
  • Formaat: EPUB+DRM
  • Ilmumisaeg: 01-Nov-2018
  • Kirjastus: Cambridge University Press
  • Keel: eng
  • ISBN-13: 9781108657310
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This new edition explains how vibrations can be used in a broad spectrum of applications and how to meet the challenges faced by engineers and system designers. The text integrates linear and nonlinear systems, and covers the time domain and the frequency domain, responses to harmonic and transient excitations, and discrete and continuous system models. It focuses on modeling, analysis, prediction, and measurement to provide a complete understanding of the underlying physical vibratory phenomena and their relevance for engineering design. Knowledge is put into practice through numerous examples with real-world applications in a range of disciplines, detailed design guidelines applicable to various vibratory systems, and over forty online interactive graphics which provide a visual summary of system behaviors and enable students to carry out their own parametric studies. Some thirteen new tables act as a quick reference for self-study, detailing key characteristics of physical systems and summarizing important results. This is an essential text for undergraduate and graduate courses in vibration analysis, and a valuable reference for practicing engineers.

An introduction to the modeling, analysis, design, and measurement of vibrations, and their real-world applications. With examples and homework problems throughout, and lecture slides, a solutions manual, and unique interactive graphics available online, this is an essential text for undergraduate and graduate courses in vibration analysis.

Arvustused

'Vibrations is a brilliant and polished presentation of vibration understanding and analyses for a very broad spectrum of dynamical engineering system applications and readers. If I could own only one book on vibration, this would be my choice.' C. Dan Mote, Jr, National Academy of Engineering 'A comprehensive treatment of engineering vibrations, written by eminent researchers in the field, notable for its treatment of both linear and nonlinear vibrations using techniques from the frequency and time domains.' Michael J. Leamy, Georgia Institute of Technology 'The authors' research, augmented by their considerable experience as leading scientists in mechanical vibrations, offers a unique and crucial perspective for future mechanical and structural engineers. This book's elegant style and nice illustrations will prove extremely beneficial to such engineers, helping solve a great variety of vibration problems coming from new industrial products.' Haiyan Hu, Beijing Institute of Technology 'This is a very well-written book with clear explanations and good examples for the readers to connect theory with practice. Integrating principles of linear and nonlinear vibrations throughout the book in a balanced manner is a great idea.' Kon-Well Wang, University of Michigan

Muu info

Provides an introduction to the modeling, analysis, design, measurement and real-world applications of vibrations, with online interactive graphics.
List of Examples
xii
List of Interactive Graphics
xv
List of Symbols
xvii
Preface to the Third Edition xxiii
1 Introduction
1(10)
1.1 Introduction
1(5)
1.2 A Brief History of Vibrations
6(2)
1.3 About This Book
8(3)
2 Modeling of Vibratory Systems
11(65)
2.1 Introduction
11(2)
2.2 Inertia Elements
13(5)
2.3 Stiffness Elements
18(26)
2.3.1 Introduction
18(2)
2.3.2 Linear Springs
20(12)
2.3.3 Nonlinear Springs
32(6)
2.3.4 Other Forms of Potential Energy Elements
38(6)
2.3.5 Summary of Equivalent Spring Constants
44(1)
2.4 Dissipation Elements
44(11)
2.4.1 Viscous Damping
44(5)
2.4.2 Combinations of Viscous Dampers and Linear Springs
49(3)
2.4.3 Other Forms of Dissipation
52(3)
2.5 Model Construction
55(10)
2.5.1 Introduction
55(1)
2.5.2 A Few Simple Models
55(5)
2.5.3 A Microelectromechanical System
60(2)
2.5.4 The Human Body
62(1)
2.5.5 A Ski
63(1)
2.5.6 Cutting Process
64(1)
2.6 Design for Vibration
65(1)
2.7 Summary
66(10)
Exercises
67(9)
3 Single Degree-of-Freedom Systems: Governing Equations
76(72)
3.1 Introduction
76(1)
3.2 Force-Balance and Moment-Balance Methods
77(10)
3.2.1 Force-Balance Methods
77(6)
3.2.2 Moment-Balance Methods
83(4)
3.3 Natural Frequency and Damping Factor
87(9)
3.3.1 Natural Frequency
87(5)
3.3.2 Damping Factor
92(4)
3.4 Governing Equations for Different Types of Damping
96(1)
3.5 Governing Equations for Different Types of Applied Forces
97(5)
3.5.1 System with Base Excitation
97(2)
3.5.2 System with Unbalanced Rotating Mass
99(1)
3.5.3 System with Added Mass Due to a Fluid
100(2)
3.6 Lagrange's Equations
102(27)
3.7 Summary of Natural Frequency Equations for Single Degree-of-Freedom Systems
129(6)
3.8 Summary
135(13)
Exercises
136(12)
4 Single Degree-of-Freedom Systems: Free-Response Characteristics
148(49)
4.1 Introduction
148(2)
4.2 Free Responses of Undamped and Damped Systems
150(28)
4.2.1 Introduction: Damping Cases
150(7)
4.2.2 Free Response of Underdamped Systems: Kelvin-Voigt Model
157(19)
4.2.3 Free Response of Underdamped Systems: Maxwell Model
176(2)
4.3 Stability of a Single Degree-of-Freedom System
178(4)
4.4 Single Degree-of-Freedom Systems with Nonlinear Elements
182(5)
4.4.1 Nonlinear Stiffness
182(4)
4.4.2 Nonlinear Damping
186(1)
4.5 Summary
187(10)
Exercises
189(8)
5 Single Degree-of-Freedom Systems Subjected to Periodic Excitations
197(100)
5.1 Introduction
197(3)
5.2 Response to Harmonic Excitation
200(38)
5.2.1 Excitation Applied from t = 0
200(10)
5.2.2 Excitation Present for All Time
210(4)
5.2.3 Response of Undamped System and Resonance
214(3)
5.2.4 Magnitude and Phase Information: Mass Excitation
217(4)
5.2.5 Magnitude and Phase Information: Rotating Unbalanced Mass
221(5)
5.2.6 Magnitude and Phase Information: Base Excitation
226(4)
5.2.7 Summary of Results of Sections 5.2.4, 5.2.5, and 5.2.6
230(3)
5.2.8 Harmonic Excitation of a System with a Maxwell Model
233(5)
5.3 Response to Excitation with Harmonic Components
238(10)
5.4 Frequency-Response Function
248(13)
5.4.1 Introduction
248(1)
5.4.2 Curve Fitting and Parameter Estimation
249(1)
5.4.3 Amplitude Response Function and Filter Characteristics
250(5)
5.4.4 Relationship of the Frequency-Response Function to the Transfer Function
255(4)
5.4.5 Alternative Forms of the Frequency-Response Function
259(2)
5.5 Acceleration Measurement: Accelerometer
261(2)
5.6 Vibration Isolation
263(7)
5.7 Energy Dissipation and Equivalent Damping
270(12)
5.8 Influence of Nonlinear Stiffness on Forced Response
282(7)
5.9 Summary
289(8)
Exercises
290(7)
6 Single Degree-of-Freedom Systems: Subjected to Transient Excitations
297(47)
6.1 Introduction
297(3)
6.2 Response to Impulse Excitation
300(10)
6.3 Response to Step Input Excitation
310(6)
6.4 Response to Rectangular Pulse Excitation
316(6)
6.5 Response to Other Excitation Waveforms
322(16)
6.5.1 Significance of the Spectral Content of the Applied Force: An Example
334(4)
6.6 Impact Testing
338(2)
6.7 Summary
340(4)
Exercises
341(3)
7 Multiple Degree-of-Freedom Systems: Governing Equations, Natural Frequencies, and Mode Shapes
344(114)
7.1 Introduction
344(2)
7.2 Governing Equations
346(32)
7.2.1 Force-Balance and Moment-Balance Methods
346(10)
7.2.2 General Form of Equations for a Linear Multi-Degree-of-Freedom System
356(3)
7.2.3 Lagrange's Equations of Motion
359(19)
7.3 Free Response Characteristics
378(45)
7.3.1 Undamped Systems: Natural Frequencies and Mode Shapes
378(24)
7.3.2 Natural Frequencies and Mode Shapes: A Summary
402(1)
7.3.3 Undamped Systems: Properties of Mode Shapes
402(9)
7.3.4 Characteristics of Damped Systems
411(10)
7.3.5 Conservation of Energy
421(2)
7.4 Rotating Shafts on Flexible Supports
423(11)
7.5 Stability
434(7)
7.6 Summary
441(17)
Exercises
442(16)
8 Multiple Degree-of-Freedom Systems: General Solution for Response and Forced Oscillations
458(87)
8.1 Introduction
458(2)
8.2 Normal-Mode Approach
460(12)
8.2.1 General Solution
460(5)
8.2.2 Response to Initial Conditions
465(7)
8.3 Response to Arbitrary Forcing and Initial Conditions: Direct Numerical Approach
472(3)
8.4 Response to Harmonic Forcing and the Frequency-Response Function
475(14)
8.4.1 Frequency-Response Function
475(14)
8.5 Vibration Absorbers
489(36)
8.5.1 Undamped Vibration Absorber
489(3)
8.5.2 Damped Linear Vibration Absorber
492(12)
8.5.3 Centrifugal Pendulum Vibration Absorber
504(4)
8.5.4 Bar Slider System
508(3)
8.5.5 Pendulum Absorber
511(4)
8.5.6 Particle Impact Damper
515(10)
8.5.7 Vibration Absorbers: A Summary
525(1)
8.6 Vibration Isolation: Transmissibility Ratio
525(11)
8.7 Systems with Moving Base
536(2)
8.8 Summary
538(7)
Exercises
539(6)
9 Vibrations of Beams
545(102)
9.1 Introduction
545(2)
9.2 Governing Equations of Motion
547(19)
9.2.1 Preliminaries from Solid Mechanics
548(2)
9.2.2 Potential Energy, Kinetic Energy, and Work
550(7)
9.2.3 Derivation of the Equations of Motion
557(2)
9.2.4 Beam Equations for a General Case
559(7)
9.3 Free Oscillations: Natural Frequencies and Mode Shapes
566(56)
9.3.1 Introduction
566(4)
9.3.2 General Solution for Natural Frequencies and Mode Shapes for Beams with Constant Cross-Section
570(10)
9.3.3 Orthogonality of the Mode Shapes
580(3)
9.3.4 Natural Frequencies and Mode Shapes of Constant Cross-Section Beams Without In-Span Attachments: Effects of Boundary Conditions
583(16)
9.3.5 Effects of Stiffness and Inertial Elements Attached at an Interior Location
599(17)
9.3.6 Effects of an Axial Force and an Elastic Foundation on the Natural Frequency
616(1)
9.3.7 Tapered Beams
617(5)
9.4 Forced Oscillations
622(17)
9.5 Summary
639(8)
Exercises
640(7)
Appendices
A Preliminaries from Dynamics
647(14)
B Laplace Transform Pairs
661(8)
C Solutions to Ordinary Differential Equations
669(10)
D Matrices
679(4)
E Complex Numbers and Variables
683(5)
F State-Space Formulation
688(7)
G Natural Frequencies and Mode Shapes of Bars, Shafts, and Strings
695(10)
H Evaluation of Eq. (9.120)
705(3)
Answers to Selected Exercises 708(6)
Glossary 714(5)
Index 719
Balakumar Balachandran is a Minta Martin Professor of Engineering at the University of Maryland, College Park. He has authored and co-authored many books, chapters, and journal articles related to the dynamics of vibrations, and he has several patents to his credit. He is a fellow of the American Society of Mechanical Engineers and the American Institute of Aeronautics and Astronautics. Edward B. Magrab is Emeritus Professor in the Department of Mechanical Engineering at the University of Maryland, College Park. He has extensive experience in analytical and experimental analysis of vibrations and acoustics, serving as an engineering consultant to over twenty companies and authoring or co-authoring a number of books on vibrations, noise control, instrumentation, integrated product design, MATLAB, and Mathematica. He is a Life Fellow of the American Society of Mechanical Engineers.
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