Now in an updated new edition, this textbook explains mechanical vibrations concepts in detail, concentrating on their practical use. This second edition includes the new chapter Multi-Degree-of-Freedom (MDOF) Time Response, as well as new sections covering superposition, music and vibrations, generalized coordinates and degrees-of-freedom, and first-order systems. Related theorems and formal proofs are provided, as are real-life applications. Students, researchers, and practicing engineers alike will appreciate the user-friendly presentation of a wealth of topics, including practical optimization for designing vibration isolators and transient and harmonic excitations. Advanced Vibrations: Theory and Application is an ideal text for students of engineering, designers, and practicing engineers.
Author(s): Reza N. Jazar
Edition: 2
Publisher: Springer
Year: 2023
Language: English
Pages: 893
City: Cham
Preface
Level of the Book
Organization of the Book
Method of Presentation
Prerequisites
Unit System
How to Use This Book
Contents
About the Author
Part I Vibration Fundamentals
1 Vibration Kinematics
1.1 Mechanical Vibration Elements
1.1.1 Mass
1.1.2 Spring
1.1.3 Damper
1.1.4 Period
1.1.5 Vibration Modes
1.2 Kinematics of Vibrations
1.3 ps: [/EMC pdfmark [/Subtype /Span /ActualText (black star) /StPNE pdfmark [/StBMC pdfmarkps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark Fourier Series
1.4 ps: [/EMC pdfmark [/Subtype /Span /ActualText (black star) /StPNE pdfmark [/StBMC pdfmarkps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark Music of Vibrations
1.5 Summary
1.6 Key Symbols
Exercises
2 Vibration Dynamics
2.1 Newton-Euler Method
2.2 Energy Method
2.2.1 Force System
2.2.2 Momentum
2.2.3 Mechanical Energy
2.3 ps: [/EMC pdfmark [/Subtype /Span /ActualText (black star) /StPNE pdfmark [/StBMC pdfmarkps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark Rigid Body Dynamics
2.3.1 ps: [/EMC pdfmark [/Subtype /Span /ActualText (black star) /StPNE pdfmark [/StBMC pdfmarkps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark Coordinate Frame Transformation
2.3.2 ps: [/EMC pdfmark [/Subtype /Span /ActualText (black star) /StPNE pdfmark [/StBMC pdfmarkps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark Velocity Kinematics
2.3.3 ps: [/EMC pdfmark [/Subtype /Span /ActualText (black star) /StPNE pdfmark [/StBMC pdfmarkps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark Acceleration Kinematics
2.3.4 ps: [/EMC pdfmark [/Subtype /Span /ActualText (black star) /StPNE pdfmark [/StBMC pdfmarkps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark Rotational Dynamics
2.4 Lagrange Method
2.5 Dissipation Function
2.6 Quadratures
2.7 Summary
2.8 Key Symbols
Exercises
Exercises
Part II Time Response
3 One Degree of Freedom
3.1 Free Vibrations
3.1.1 Underdamped: 0<ξ<1
3.1.2 Critically Damped: ξ=1
3.1.3 Overdamped: 1<ξ
3.1.4 Negative Damping: ξ<0
3.1.5 Coulomb Friction Damping
3.2 Forced Vibrations
3.3 Transient Vibrations
3.4 Measurement
3.5 Summary
3.6 Key Symbols
Exercises
Exercises
4 Multi-degrees of Freedom
4.1 Free Vibrations
4.1.1 Undamped Systems
4.1.2 ps: [/EMC pdfmark [/Subtype /Span /ActualText (black star) /StPNE pdfmark [/StBMC pdfmarkps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark Damped Systems
4.2 ps: [/EMC pdfmark [/Subtype /Span /ActualText (black star) /StPNE pdfmark [/StBMC pdfmarkps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark Forced Vibrations
4.3 Summary
4.4 Key Symbols
Exercises
Exercises
5 First-Order Systems
5.1 Natural Motion
5.2 General Motion
5.3 Coupled Systems
5.4 Summary
5.5 Key Symbols
Exercises
Exercises
Part III Frequency Response
6 One Degree of Freedom Systems
6.1 Forced Excitation
6.2 Base Excitation
6.3 ps: [/EMC pdfmark [/Subtype /Span /ActualText (black star) /StPNE pdfmark [/StBMC pdfmarkps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark Vibration Isolation
6.3.1 Mathematical Model
6.3.2 Frequency Response
6.3.3 ps: [/EMC pdfmark [/Subtype /Span /ActualText (black star) /StPNE pdfmark [/StBMC pdfmarkps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark Root Mean Square ps: [/EMC pdfmark [/Subtype /Span /ActualText (left parenthesis upper R upper M upper S right parenthesis) /StPNE pdfmark [/StBMC pdfmark( RMS) ps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark Optimization
6.3.4 ps: [/EMC pdfmark [/Subtype /Span /ActualText (black star) /StPNE pdfmark [/StBMC pdfmarkps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark Time Response Optimization
6.4 Eccentric Excitation
6.5 ps: [/EMC pdfmark [/Subtype /Span /ActualText (black star) /StPNE pdfmark [/StBMC pdfmarkps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark Eccentric Base Excitation
6.6 Classification for the Frequency Responses of One DOF Forced Vibration Systems
6.7 Summary
6.8 Key Symbols
Exercises
Exercises
7 Multi Degrees of Freedom Systems
7.1 Natural Frequency and Mode Shape
7.2 Coupling and Decoupling
7.3 Harmonic Excitation
7.4 Summary
7.5 Key Symbols
Exercises
8 Two Degrees of Freedom Systems
8.1 Forced Excitation
8.2 ps: [/EMC pdfmark [/Subtype /Span /ActualText (black star) /StPNE pdfmark [/StBMC pdfmarkps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark Vibration Absorber
8.3 Base Excitation
8.4 ps: [/EMC pdfmark [/Subtype /Span /ActualText (black star) /StPNE pdfmark [/StBMC pdfmarkps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark Eccentric Excitation
8.5 ps: [/EMC pdfmark [/Subtype /Span /ActualText (black star) /StPNE pdfmark [/StBMC pdfmarkps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark Eccentric Base Excitation
8.6 ps: [/EMC pdfmark [/Subtype /Span /ActualText (black star) /StPNE pdfmark [/StBMC pdfmarkps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark Comparison for the Frequency Responses of Two DOFSystems
8.6.1 ps: [/EMC pdfmark [/Subtype /Span /ActualText (black star) /StPNE pdfmark [/StBMC pdfmarkps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark Position of Excitation
8.6.2 ps: [/EMC pdfmark [/Subtype /Span /ActualText (black star) /StPNE pdfmark [/StBMC pdfmarkps: [/EMC pdfmark [/StPop pdfmark [/StBMC pdfmark Nodes
8.7 Summary
8.8 Key Symbols
Exercises
Exercises
A Frequency Response Curves
B Matrix Calculus
C Ordinary Differential Equations
D Trigonometric Formula
E Algebraic Formula
F Unit Conversions
Bibliography
Bibliography
Chapter 1: Vibration Kinematics
Chapter 2: Vibration Dynamics
Chapter 3: One Degree of Freedom
Chapter 4: Multi Degrees of Freedom
Chapter 5: First-Order Systems
Chapter 6: One Degree of Freedom Systems
Chapter 7: Multi Degrees of Freedom Systems
Chapter 7: Multi Degrees of Freedom Systems
Index
