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100 | 1 | ▼aRao, Singiresu S.▲ | |
245 | 1 | 0 | ▼aMechanical Vibrations in SI Units.▲ |
250 | ▼a6th ed.▲ | ||
264 | 1 | ▼aHarlow, United Kingdom :▼bPearson Education Limited,▼c2017.▲ | |
264 | 4 | ▼c짤2018.▲ | |
300 | ▼a1 online resource (1295 pages)▲ | ||
336 | ▼atext▼btxt▼2rdacontent▲ | ||
337 | ▼acomputer▼bc▼2rdamedia▲ | ||
338 | ▼aonline resource▼bcr▼2rdacarrier▲ | ||
505 | 0 | ▼aFront Cover -- Equivalent Masses, Springs and Dampers -- Title Page -- Copyright Page -- Contents -- Preface -- Acknowledgments -- List of Symbols -- Chapter 1 Fundamentals of Vibration -- 1.1 Preliminary Remarks -- 1.2 Brief History of the Study of Vibration -- 1.2.1 Origins of the Study of Vibration -- 1.2.2 From Galileo to Rayleigh -- 1.2.3 Recent Contributions -- 1.3 Importance of the Study of Vibration -- 1.3.1 Conversion of Vibrations to Sound by the Human Ear -- 1.4 Basic Concepts of Vibration -- 1.4.1 Vibration -- 1.4.2 Elementary Parts of Vibrating Systems -- 1.4.3 Number of Degrees of Freedom -- 1.4.4 Discrete and Continuous Systems -- 1.5 Classification of Vibration -- 1.5.1 Free and Forced Vibration -- 1.5.2 Undamped and Damped Vibration -- 1.5.3 Linear and Nonlinear Vibration -- 1.5.4 Deterministic and Random Vibration -- 1.6 Vibration Analysis Procedure -- 1.7 Spring Elements -- 1.7.1 Nonlinear Springs -- 1.7.2 Linearization of a Nonlinear Spring -- 1.7.3 Spring Constants of Elastic Elements -- 1.7.4 Combination of Springs -- 1.7.5 Spring Constant Associated with the Restoring Force due to Gravity -- 1.8 Mass or Inertia Elements -- 1.8.1 Combination of Masses -- 1.9 Damping Elements -- 1.9.1 Construction of Viscous Dampers -- 1.9.2 Linearization of a Nonlinear Damper -- 1.9.3 Combination of Dampers -- 1.10 Harmonic Motion -- 1.10.1 Vectorial Representation of Harmonic Motion -- 1.10.2 Complex-Number Representation of Harmonic Motion -- 1.10.3 Complex Algebra -- 1.10.4 Operations on Harmonic Functions -- 1.10.5 Definitions and Terminology -- 1.11 Harmonic Analysis -- 1.11.1 Fourier Series Expansion -- 1.11.2 Complex Fourier Series -- 1.11.3 Frequency Spectrum -- 1.11.4 Time- and Frequency-Domain Representations -- 1.11.5 Even and Odd Functions -- 1.11.6 Half-Range Expansions -- 1.11.7 Numerical Computation of Coefficients.▲ | |
505 | 8 | ▼a1.12 Examples Using MATLAB -- 1.13 Vibration Literature -- Chapter Summary -- References -- Review Questions -- Problems -- Design Projects -- Chapter 2 Free Vibration of Single-Degree-of-Freedom Systems -- 2.1 Introduction -- 2.2 Free Vibration of an Undamped Translational System -- 2.2.1 Equation of Motion Using Newton's Second Law of Motion -- 2.2.2 Equation of Motion Using Other Methods -- 2.2.3 Equation of Motion of a Spring-Mass System in Vertical Position -- 2.2.4 Solution -- 2.2.5 Harmonic Motion -- 2.3 Free Vibration of an Undamped Torsional System -- 2.3.1 Equation of Motion -- 2.3.2 Solution -- 2.4 Response of First-Order Systems and Time Constant -- 2.5 Rayleigh's Energy Method -- 2.6 Free Vibration with Viscous Damping -- 2.6.1 Equation of Motion -- 2.6.2 Solution -- 2.6.3 Logarithmic Decrement -- 2.6.4 Energy Dissipated in Viscous Damping -- 2.6.5 Torsional Systems with Viscous Damping -- 2.7 Graphical Representation of Characteristic Roots and Corresponding Solution -- 2.7.1 Roots of the Characteristic Equation -- 2.7.2 Graphical Representation of Roots and Corresponding Solutions -- 2.8 Parameter Variations and Root Locus Representations -- 2.8.1 Interpretations of �n, �d, 瓘, and � in the s-plane -- 2.8.2 Root Locus and Parameter Variations -- 2.9 Free Vibration with Coulomb Damping -- 2.9.1 Equation of Motion -- 2.9.2 Solution -- 2.9.3 Torsional Systems with Coulomb Damping -- 2.10 Free Vibration with Hysteretic Damping -- 2.11 Stability of Systems -- 2.12 Examples Using MATLAB -- Chapter Summary -- References -- Review Questions -- Problems -- Design Projects -- Chapter 3 Harmonically Excited Vibration -- 3.1 Introduction -- 3.2 Equation of Motion -- 3.3 Response of an Undamped System Under Harmonic Force -- 3.3.1 Total Response -- 3.3.2 Beating Phenomenon -- 3.4 Response of a Damped System Under Harmonic Force.▲ | |
505 | 8 | ▼a3.4.1 Total Response -- 3.4.2 Quality Factor and Bandwidth -- 3.5 Response of a Damped System Under F(t) = F0eiwt -- 3.6 Response of a Damped System Under the Harmonic Motion of the Base -- 3.6.1 Force Transmitted -- 3.6.2 Relative Motion -- 3.7 Response of a Damped System Under Rotating Unbalance -- 3.8 Forced Vibration with Coulomb Damping -- 3.9 Forced Vibration with Hysteresis Damping -- 3.10 Forced Motion with Other Types of Damping -- 3.11 Self-Excitation and Stability Analysis -- 3.11.1 Dynamic Stability Analysis -- 3.11.2 Dynamic Instability Caused by Fluid Flow -- 3.12 Transfer-Function Approach -- 3.13 Solutions Using Laplace Transforms -- 3.14 Frequency Transfer Functions -- 3.14.1 Relation between the General Transfer Function T(s) and the Frequency Transfer Function T (iw) -- 3.14.2 Representation of Frequency-Response Characteristics -- 3.15 Examples Using MATLAB -- Chapter Summary -- References -- Review Questions -- Problems -- Design Projects -- Chapter 4 Vibration Under General Forcing Conditions -- 4.1 Introduction -- 4.2 Response Under a General Periodic Force -- 4.2.1 First-Order Systems -- 4.2.2 Second-Order Systems -- 4.3 Response Under a Periodic Force of Irregular Form -- 4.4 Response Under a Nonperiodic Force -- 4.5 Convolution Integral -- 4.5.1 Response to an Impulse -- 4.5.2 Response to a General Forcing Condition -- 4.5.3 Response to Base Excitation -- 4.6 Response Spectrum -- 4.6.1 Response Spectrum for Base Excitation -- 4.6.2 Earthquake Response Spectra -- 4.6.3 Design Under a Shock Environment -- 4.7 Laplace Transforms -- 4.7.1 Transient and Steady-State Responses -- 4.7.2 Response of First-Order Systems -- 4.7.3 Response of Second-Order Systems -- 4.7.4 Response to Step Force -- 4.7.5 Analysis of the Step Response -- 4.7.6 Description of Transient Response -- 4.8 Numerical Methods -- 4.8.1 Runge-Kutta Methods.▲ | |
505 | 8 | ▼a4.9 Response to Irregular Forcing Conditions Using Numerical Methods -- 4.10 Examples Using MATLAB -- Chapter Summary -- References -- Review Questions -- Problems -- Design Projects -- Chapter 5 Two-Degree-of-Freedom Systems -- 5.1 Introduction -- 5.2 Equations of Motion for Forced Vibration -- 5.3 Free-Vibration Analysis of an Undamped System -- 5.4 Torsional System -- 5.5 Coordinate Coupling and Principal Coordinates -- 5.6 Forced-Vibration Analysis -- 5.7 Semidefinite Systems -- 5.8 Self-Excitation and Stability Analysis -- 5.9 Transfer-Function Approach -- 5.10 Solutions Using Laplace Transform -- 5.11 Solutions Using Frequency Transfer Functions -- 5.12 Examples Using MATLAB -- Chapter Summary -- References -- Review Questions -- Problems -- Design Projects -- Chapter 6 Multidegree-of-Freedom Systems -- 6.1 Introduction -- 6.2 Modeling of Continuous Systems as Multidegree-of-Freedom Systems -- 6.3 Using Newton's Second Law to Derive Equations of Motion -- 6.4 Influence Coefficients -- 6.4.1 Stiffness Influence Coefficients -- 6.4.2 Flexibility Influence Coefficients -- 6.4.3 Inertia Influence Coefficients -- 6.5 Potential and Kinetic Energy Expressions in Matrix Form -- 6.6 Generalized Coordinates and Generalized Forces -- 6.7 Using Lagrange's Equations to Derive Equations of Motion -- 6.8 Equations of Motion of Undamped Systems in Matrix Form -- 6.9 Eigenvalue Problem -- 6.10 Solution of the Eigenvalue Problem -- 6.10.1 Solution of the Characteristic (Polynomial) Equation -- 6.10.2 Orthogonality of Normal Modes -- 6.10.3 Repeated Eigenvalues -- 6.11 Expansion Theorem -- 6.12 Unrestrained Systems -- 6.13 Free Vibration of Undamped Systems -- 6.14 Forced Vibration of Undamped Systems Using Modal Analysis -- 6.15 Forced Vibration of Viscously Damped Systems -- 6.16 Self-Excitation and Stability Analysis -- 6.17 Examples Using MATLAB.▲ | |
505 | 8 | ▼aChapter Summary -- References -- Review Questions -- Problems -- Design Projects -- Chapter 7 Determination of Natural Frequencies and Mode Shapes -- 7.1 Introduction -- 7.2 Dunkerley's Formula -- 7.3 Rayleigh's Method -- 7.3.1 Properties of Rayleigh's Quotient -- 7.3.2 Computation of the Fundamental Natural Frequency -- 7.3.3 Fundamental Frequency of Beams and Shafts -- 7.4 Holzer's Method -- 7.4.1 Torsional Systems -- 7.4.2 Spring-Mass Systems -- 7.5 Matrix Iteration Method -- 7.5.1 Convergence to the Highest Natural Frequency -- 7.5.2 Computation of Intermediate Natural Frequencies -- 7.6 Jacobi's Method -- 7.7 Standard Eigenvalue Problem -- 7.7.1 Choleski Decomposition -- 7.7.2 Other Solution Methods -- 7.8 Examples Using MATLAB -- Chapter Summary -- References -- Review Questions -- Problems -- Design Projects -- Chapter 8 Continuous Systems -- 8.1 Introduction -- 8.2 Transverse Vibration of a String or Cable -- 8.2.1 Equation of Motion -- 8.2.2 Initial and Boundary Conditions -- 8.2.3 Free Vibration of a Uniform String -- 8.2.4 Free Vibration of a String with Both Ends Fixed -- 8.2.5 Traveling-Wave Solution -- 8.3 Longitudinal Vibration of a Bar or Rod -- 8.3.1 Equation of Motion and Solution -- 8.3.2 Orthogonality of Normal Functions -- 8.4 Torsional Vibration of a Shaft or Rod -- 8.5 Lateral Vibration of Beams -- 8.5.1 Equation of Motion -- 8.5.2 Initial Conditions -- 8.5.3 Free Vibration -- 8.5.4 Boundary Conditions -- 8.5.5 Orthogonality of Normal Functions -- 8.5.6 Forced Vibration -- 8.5.7 Effect of Axial Force -- 8.5.8 Effects of Rotary Inertia and Shear Deformation -- 8.5.9 Beams on Elastic Foundation -- 8.5.10 Other Effects -- 8.6 Vibration of Membranes -- 8.6.1 Equation of Motion -- 8.6.2 Initial and Boundary Conditions -- 8.7 Rayleigh's Method -- 8.8 The Rayleigh-Ritz Method -- 8.9 Examples Using MATLAB -- Chapter Summary.▲ | |
505 | 8 | ▼aReferences.▲ | |
520 | ▼aFor courses in vibration engineering. � Building Knowledge: Concepts of Vibration in Engineering Retaining the style of previous editions, this�Sixth SI Edition�of�Mechanical Vibrations�effectively presents theory, computational aspects, and applications of vibration, introducing undergraduate engineering students to the subject of vibration engineering in as simple a manner as possible. Emphasizing computer techniques of analysis,�Mechanical Vibrations�thoroughly explains the fundamentals of vibration analysis, building on the understanding achieved by students in previous undergraduate mechanics courses. Related concepts are discussed, and real-life applications, examples, problems, and illustrations related to vibration analysis enhance comprehension of all concepts and material. In the�Sixth SI Edition, several additions and revisions have been made-including new examples, problems, and illustrations-with the goal of making coverage of concepts both more comprehensive and easier to follow.▲ | ||
588 | ▼aDescription based on publisher supplied metadata and other sources.▲ | ||
590 | ▼aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2019. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. ▲ | ||
650 | 0 | ▼aVibration.▲ | |
655 | 4 | ▼aElectronic books.▲ | |
776 | 0 | 8 | ▼iPrint version:▼aRao, Singiresu S.▼tMechanical Vibrations in SI Units▼dHarlow, United Kingdom : Pearson Education Limited,c2017▼z9781292178608▲ |
797 | 2 | ▼aProQuest (Firm)▲ | |
856 | 4 | 0 | ▼uhttps://ebookcentral.proquest.com/lib/pusan/detail.action?docID=5185953▼zClick to View▲ |
Mechanical Vibrations in SI Units
자료유형
국외eBook
서명/책임사항
Mechanical Vibrations in SI Units.
판사항
6th ed.
형태사항
1 online resource (1295 pages)
내용주기
Front Cover -- Equivalent Masses, Springs and Dampers -- Title Page -- Copyright Page -- Contents -- Preface -- Acknowledgments -- List of Symbols -- Chapter 1 Fundamentals of Vibration -- 1.1 Preliminary Remarks -- 1.2 Brief History of the Study of Vibration -- 1.2.1 Origins of the Study of Vibration -- 1.2.2 From Galileo to Rayleigh -- 1.2.3 Recent Contributions -- 1.3 Importance of the Study of Vibration -- 1.3.1 Conversion of Vibrations to Sound by the Human Ear -- 1.4 Basic Concepts of Vibration -- 1.4.1 Vibration -- 1.4.2 Elementary Parts of Vibrating Systems -- 1.4.3 Number of Degrees of Freedom -- 1.4.4 Discrete and Continuous Systems -- 1.5 Classification of Vibration -- 1.5.1 Free and Forced Vibration -- 1.5.2 Undamped and Damped Vibration -- 1.5.3 Linear and Nonlinear Vibration -- 1.5.4 Deterministic and Random Vibration -- 1.6 Vibration Analysis Procedure -- 1.7 Spring Elements -- 1.7.1 Nonlinear Springs -- 1.7.2 Linearization of a Nonlinear Spring -- 1.7.3 Spring Constants of Elastic Elements -- 1.7.4 Combination of Springs -- 1.7.5 Spring Constant Associated with the Restoring Force due to Gravity -- 1.8 Mass or Inertia Elements -- 1.8.1 Combination of Masses -- 1.9 Damping Elements -- 1.9.1 Construction of Viscous Dampers -- 1.9.2 Linearization of a Nonlinear Damper -- 1.9.3 Combination of Dampers -- 1.10 Harmonic Motion -- 1.10.1 Vectorial Representation of Harmonic Motion -- 1.10.2 Complex-Number Representation of Harmonic Motion -- 1.10.3 Complex Algebra -- 1.10.4 Operations on Harmonic Functions -- 1.10.5 Definitions and Terminology -- 1.11 Harmonic Analysis -- 1.11.1 Fourier Series Expansion -- 1.11.2 Complex Fourier Series -- 1.11.3 Frequency Spectrum -- 1.11.4 Time- and Frequency-Domain Representations -- 1.11.5 Even and Odd Functions -- 1.11.6 Half-Range Expansions -- 1.11.7 Numerical Computation of Coefficients.
1.12 Examples Using MATLAB -- 1.13 Vibration Literature -- Chapter Summary -- References -- Review Questions -- Problems -- Design Projects -- Chapter 2 Free Vibration of Single-Degree-of-Freedom Systems -- 2.1 Introduction -- 2.2 Free Vibration of an Undamped Translational System -- 2.2.1 Equation of Motion Using Newton's Second Law of Motion -- 2.2.2 Equation of Motion Using Other Methods -- 2.2.3 Equation of Motion of a Spring-Mass System in Vertical Position -- 2.2.4 Solution -- 2.2.5 Harmonic Motion -- 2.3 Free Vibration of an Undamped Torsional System -- 2.3.1 Equation of Motion -- 2.3.2 Solution -- 2.4 Response of First-Order Systems and Time Constant -- 2.5 Rayleigh's Energy Method -- 2.6 Free Vibration with Viscous Damping -- 2.6.1 Equation of Motion -- 2.6.2 Solution -- 2.6.3 Logarithmic Decrement -- 2.6.4 Energy Dissipated in Viscous Damping -- 2.6.5 Torsional Systems with Viscous Damping -- 2.7 Graphical Representation of Characteristic Roots and Corresponding Solution -- 2.7.1 Roots of the Characteristic Equation -- 2.7.2 Graphical Representation of Roots and Corresponding Solutions -- 2.8 Parameter Variations and Root Locus Representations -- 2.8.1 Interpretations of �n, �d, 瓘, and � in the s-plane -- 2.8.2 Root Locus and Parameter Variations -- 2.9 Free Vibration with Coulomb Damping -- 2.9.1 Equation of Motion -- 2.9.2 Solution -- 2.9.3 Torsional Systems with Coulomb Damping -- 2.10 Free Vibration with Hysteretic Damping -- 2.11 Stability of Systems -- 2.12 Examples Using MATLAB -- Chapter Summary -- References -- Review Questions -- Problems -- Design Projects -- Chapter 3 Harmonically Excited Vibration -- 3.1 Introduction -- 3.2 Equation of Motion -- 3.3 Response of an Undamped System Under Harmonic Force -- 3.3.1 Total Response -- 3.3.2 Beating Phenomenon -- 3.4 Response of a Damped System Under Harmonic Force.
3.4.1 Total Response -- 3.4.2 Quality Factor and Bandwidth -- 3.5 Response of a Damped System Under F(t) = F0eiwt -- 3.6 Response of a Damped System Under the Harmonic Motion of the Base -- 3.6.1 Force Transmitted -- 3.6.2 Relative Motion -- 3.7 Response of a Damped System Under Rotating Unbalance -- 3.8 Forced Vibration with Coulomb Damping -- 3.9 Forced Vibration with Hysteresis Damping -- 3.10 Forced Motion with Other Types of Damping -- 3.11 Self-Excitation and Stability Analysis -- 3.11.1 Dynamic Stability Analysis -- 3.11.2 Dynamic Instability Caused by Fluid Flow -- 3.12 Transfer-Function Approach -- 3.13 Solutions Using Laplace Transforms -- 3.14 Frequency Transfer Functions -- 3.14.1 Relation between the General Transfer Function T(s) and the Frequency Transfer Function T (iw) -- 3.14.2 Representation of Frequency-Response Characteristics -- 3.15 Examples Using MATLAB -- Chapter Summary -- References -- Review Questions -- Problems -- Design Projects -- Chapter 4 Vibration Under General Forcing Conditions -- 4.1 Introduction -- 4.2 Response Under a General Periodic Force -- 4.2.1 First-Order Systems -- 4.2.2 Second-Order Systems -- 4.3 Response Under a Periodic Force of Irregular Form -- 4.4 Response Under a Nonperiodic Force -- 4.5 Convolution Integral -- 4.5.1 Response to an Impulse -- 4.5.2 Response to a General Forcing Condition -- 4.5.3 Response to Base Excitation -- 4.6 Response Spectrum -- 4.6.1 Response Spectrum for Base Excitation -- 4.6.2 Earthquake Response Spectra -- 4.6.3 Design Under a Shock Environment -- 4.7 Laplace Transforms -- 4.7.1 Transient and Steady-State Responses -- 4.7.2 Response of First-Order Systems -- 4.7.3 Response of Second-Order Systems -- 4.7.4 Response to Step Force -- 4.7.5 Analysis of the Step Response -- 4.7.6 Description of Transient Response -- 4.8 Numerical Methods -- 4.8.1 Runge-Kutta Methods.
4.9 Response to Irregular Forcing Conditions Using Numerical Methods -- 4.10 Examples Using MATLAB -- Chapter Summary -- References -- Review Questions -- Problems -- Design Projects -- Chapter 5 Two-Degree-of-Freedom Systems -- 5.1 Introduction -- 5.2 Equations of Motion for Forced Vibration -- 5.3 Free-Vibration Analysis of an Undamped System -- 5.4 Torsional System -- 5.5 Coordinate Coupling and Principal Coordinates -- 5.6 Forced-Vibration Analysis -- 5.7 Semidefinite Systems -- 5.8 Self-Excitation and Stability Analysis -- 5.9 Transfer-Function Approach -- 5.10 Solutions Using Laplace Transform -- 5.11 Solutions Using Frequency Transfer Functions -- 5.12 Examples Using MATLAB -- Chapter Summary -- References -- Review Questions -- Problems -- Design Projects -- Chapter 6 Multidegree-of-Freedom Systems -- 6.1 Introduction -- 6.2 Modeling of Continuous Systems as Multidegree-of-Freedom Systems -- 6.3 Using Newton's Second Law to Derive Equations of Motion -- 6.4 Influence Coefficients -- 6.4.1 Stiffness Influence Coefficients -- 6.4.2 Flexibility Influence Coefficients -- 6.4.3 Inertia Influence Coefficients -- 6.5 Potential and Kinetic Energy Expressions in Matrix Form -- 6.6 Generalized Coordinates and Generalized Forces -- 6.7 Using Lagrange's Equations to Derive Equations of Motion -- 6.8 Equations of Motion of Undamped Systems in Matrix Form -- 6.9 Eigenvalue Problem -- 6.10 Solution of the Eigenvalue Problem -- 6.10.1 Solution of the Characteristic (Polynomial) Equation -- 6.10.2 Orthogonality of Normal Modes -- 6.10.3 Repeated Eigenvalues -- 6.11 Expansion Theorem -- 6.12 Unrestrained Systems -- 6.13 Free Vibration of Undamped Systems -- 6.14 Forced Vibration of Undamped Systems Using Modal Analysis -- 6.15 Forced Vibration of Viscously Damped Systems -- 6.16 Self-Excitation and Stability Analysis -- 6.17 Examples Using MATLAB.
Chapter Summary -- References -- Review Questions -- Problems -- Design Projects -- Chapter 7 Determination of Natural Frequencies and Mode Shapes -- 7.1 Introduction -- 7.2 Dunkerley's Formula -- 7.3 Rayleigh's Method -- 7.3.1 Properties of Rayleigh's Quotient -- 7.3.2 Computation of the Fundamental Natural Frequency -- 7.3.3 Fundamental Frequency of Beams and Shafts -- 7.4 Holzer's Method -- 7.4.1 Torsional Systems -- 7.4.2 Spring-Mass Systems -- 7.5 Matrix Iteration Method -- 7.5.1 Convergence to the Highest Natural Frequency -- 7.5.2 Computation of Intermediate Natural Frequencies -- 7.6 Jacobi's Method -- 7.7 Standard Eigenvalue Problem -- 7.7.1 Choleski Decomposition -- 7.7.2 Other Solution Methods -- 7.8 Examples Using MATLAB -- Chapter Summary -- References -- Review Questions -- Problems -- Design Projects -- Chapter 8 Continuous Systems -- 8.1 Introduction -- 8.2 Transverse Vibration of a String or Cable -- 8.2.1 Equation of Motion -- 8.2.2 Initial and Boundary Conditions -- 8.2.3 Free Vibration of a Uniform String -- 8.2.4 Free Vibration of a String with Both Ends Fixed -- 8.2.5 Traveling-Wave Solution -- 8.3 Longitudinal Vibration of a Bar or Rod -- 8.3.1 Equation of Motion and Solution -- 8.3.2 Orthogonality of Normal Functions -- 8.4 Torsional Vibration of a Shaft or Rod -- 8.5 Lateral Vibration of Beams -- 8.5.1 Equation of Motion -- 8.5.2 Initial Conditions -- 8.5.3 Free Vibration -- 8.5.4 Boundary Conditions -- 8.5.5 Orthogonality of Normal Functions -- 8.5.6 Forced Vibration -- 8.5.7 Effect of Axial Force -- 8.5.8 Effects of Rotary Inertia and Shear Deformation -- 8.5.9 Beams on Elastic Foundation -- 8.5.10 Other Effects -- 8.6 Vibration of Membranes -- 8.6.1 Equation of Motion -- 8.6.2 Initial and Boundary Conditions -- 8.7 Rayleigh's Method -- 8.8 The Rayleigh-Ritz Method -- 8.9 Examples Using MATLAB -- Chapter Summary.
References.
1.12 Examples Using MATLAB -- 1.13 Vibration Literature -- Chapter Summary -- References -- Review Questions -- Problems -- Design Projects -- Chapter 2 Free Vibration of Single-Degree-of-Freedom Systems -- 2.1 Introduction -- 2.2 Free Vibration of an Undamped Translational System -- 2.2.1 Equation of Motion Using Newton's Second Law of Motion -- 2.2.2 Equation of Motion Using Other Methods -- 2.2.3 Equation of Motion of a Spring-Mass System in Vertical Position -- 2.2.4 Solution -- 2.2.5 Harmonic Motion -- 2.3 Free Vibration of an Undamped Torsional System -- 2.3.1 Equation of Motion -- 2.3.2 Solution -- 2.4 Response of First-Order Systems and Time Constant -- 2.5 Rayleigh's Energy Method -- 2.6 Free Vibration with Viscous Damping -- 2.6.1 Equation of Motion -- 2.6.2 Solution -- 2.6.3 Logarithmic Decrement -- 2.6.4 Energy Dissipated in Viscous Damping -- 2.6.5 Torsional Systems with Viscous Damping -- 2.7 Graphical Representation of Characteristic Roots and Corresponding Solution -- 2.7.1 Roots of the Characteristic Equation -- 2.7.2 Graphical Representation of Roots and Corresponding Solutions -- 2.8 Parameter Variations and Root Locus Representations -- 2.8.1 Interpretations of �n, �d, 瓘, and � in the s-plane -- 2.8.2 Root Locus and Parameter Variations -- 2.9 Free Vibration with Coulomb Damping -- 2.9.1 Equation of Motion -- 2.9.2 Solution -- 2.9.3 Torsional Systems with Coulomb Damping -- 2.10 Free Vibration with Hysteretic Damping -- 2.11 Stability of Systems -- 2.12 Examples Using MATLAB -- Chapter Summary -- References -- Review Questions -- Problems -- Design Projects -- Chapter 3 Harmonically Excited Vibration -- 3.1 Introduction -- 3.2 Equation of Motion -- 3.3 Response of an Undamped System Under Harmonic Force -- 3.3.1 Total Response -- 3.3.2 Beating Phenomenon -- 3.4 Response of a Damped System Under Harmonic Force.
3.4.1 Total Response -- 3.4.2 Quality Factor and Bandwidth -- 3.5 Response of a Damped System Under F(t) = F0eiwt -- 3.6 Response of a Damped System Under the Harmonic Motion of the Base -- 3.6.1 Force Transmitted -- 3.6.2 Relative Motion -- 3.7 Response of a Damped System Under Rotating Unbalance -- 3.8 Forced Vibration with Coulomb Damping -- 3.9 Forced Vibration with Hysteresis Damping -- 3.10 Forced Motion with Other Types of Damping -- 3.11 Self-Excitation and Stability Analysis -- 3.11.1 Dynamic Stability Analysis -- 3.11.2 Dynamic Instability Caused by Fluid Flow -- 3.12 Transfer-Function Approach -- 3.13 Solutions Using Laplace Transforms -- 3.14 Frequency Transfer Functions -- 3.14.1 Relation between the General Transfer Function T(s) and the Frequency Transfer Function T (iw) -- 3.14.2 Representation of Frequency-Response Characteristics -- 3.15 Examples Using MATLAB -- Chapter Summary -- References -- Review Questions -- Problems -- Design Projects -- Chapter 4 Vibration Under General Forcing Conditions -- 4.1 Introduction -- 4.2 Response Under a General Periodic Force -- 4.2.1 First-Order Systems -- 4.2.2 Second-Order Systems -- 4.3 Response Under a Periodic Force of Irregular Form -- 4.4 Response Under a Nonperiodic Force -- 4.5 Convolution Integral -- 4.5.1 Response to an Impulse -- 4.5.2 Response to a General Forcing Condition -- 4.5.3 Response to Base Excitation -- 4.6 Response Spectrum -- 4.6.1 Response Spectrum for Base Excitation -- 4.6.2 Earthquake Response Spectra -- 4.6.3 Design Under a Shock Environment -- 4.7 Laplace Transforms -- 4.7.1 Transient and Steady-State Responses -- 4.7.2 Response of First-Order Systems -- 4.7.3 Response of Second-Order Systems -- 4.7.4 Response to Step Force -- 4.7.5 Analysis of the Step Response -- 4.7.6 Description of Transient Response -- 4.8 Numerical Methods -- 4.8.1 Runge-Kutta Methods.
4.9 Response to Irregular Forcing Conditions Using Numerical Methods -- 4.10 Examples Using MATLAB -- Chapter Summary -- References -- Review Questions -- Problems -- Design Projects -- Chapter 5 Two-Degree-of-Freedom Systems -- 5.1 Introduction -- 5.2 Equations of Motion for Forced Vibration -- 5.3 Free-Vibration Analysis of an Undamped System -- 5.4 Torsional System -- 5.5 Coordinate Coupling and Principal Coordinates -- 5.6 Forced-Vibration Analysis -- 5.7 Semidefinite Systems -- 5.8 Self-Excitation and Stability Analysis -- 5.9 Transfer-Function Approach -- 5.10 Solutions Using Laplace Transform -- 5.11 Solutions Using Frequency Transfer Functions -- 5.12 Examples Using MATLAB -- Chapter Summary -- References -- Review Questions -- Problems -- Design Projects -- Chapter 6 Multidegree-of-Freedom Systems -- 6.1 Introduction -- 6.2 Modeling of Continuous Systems as Multidegree-of-Freedom Systems -- 6.3 Using Newton's Second Law to Derive Equations of Motion -- 6.4 Influence Coefficients -- 6.4.1 Stiffness Influence Coefficients -- 6.4.2 Flexibility Influence Coefficients -- 6.4.3 Inertia Influence Coefficients -- 6.5 Potential and Kinetic Energy Expressions in Matrix Form -- 6.6 Generalized Coordinates and Generalized Forces -- 6.7 Using Lagrange's Equations to Derive Equations of Motion -- 6.8 Equations of Motion of Undamped Systems in Matrix Form -- 6.9 Eigenvalue Problem -- 6.10 Solution of the Eigenvalue Problem -- 6.10.1 Solution of the Characteristic (Polynomial) Equation -- 6.10.2 Orthogonality of Normal Modes -- 6.10.3 Repeated Eigenvalues -- 6.11 Expansion Theorem -- 6.12 Unrestrained Systems -- 6.13 Free Vibration of Undamped Systems -- 6.14 Forced Vibration of Undamped Systems Using Modal Analysis -- 6.15 Forced Vibration of Viscously Damped Systems -- 6.16 Self-Excitation and Stability Analysis -- 6.17 Examples Using MATLAB.
Chapter Summary -- References -- Review Questions -- Problems -- Design Projects -- Chapter 7 Determination of Natural Frequencies and Mode Shapes -- 7.1 Introduction -- 7.2 Dunkerley's Formula -- 7.3 Rayleigh's Method -- 7.3.1 Properties of Rayleigh's Quotient -- 7.3.2 Computation of the Fundamental Natural Frequency -- 7.3.3 Fundamental Frequency of Beams and Shafts -- 7.4 Holzer's Method -- 7.4.1 Torsional Systems -- 7.4.2 Spring-Mass Systems -- 7.5 Matrix Iteration Method -- 7.5.1 Convergence to the Highest Natural Frequency -- 7.5.2 Computation of Intermediate Natural Frequencies -- 7.6 Jacobi's Method -- 7.7 Standard Eigenvalue Problem -- 7.7.1 Choleski Decomposition -- 7.7.2 Other Solution Methods -- 7.8 Examples Using MATLAB -- Chapter Summary -- References -- Review Questions -- Problems -- Design Projects -- Chapter 8 Continuous Systems -- 8.1 Introduction -- 8.2 Transverse Vibration of a String or Cable -- 8.2.1 Equation of Motion -- 8.2.2 Initial and Boundary Conditions -- 8.2.3 Free Vibration of a Uniform String -- 8.2.4 Free Vibration of a String with Both Ends Fixed -- 8.2.5 Traveling-Wave Solution -- 8.3 Longitudinal Vibration of a Bar or Rod -- 8.3.1 Equation of Motion and Solution -- 8.3.2 Orthogonality of Normal Functions -- 8.4 Torsional Vibration of a Shaft or Rod -- 8.5 Lateral Vibration of Beams -- 8.5.1 Equation of Motion -- 8.5.2 Initial Conditions -- 8.5.3 Free Vibration -- 8.5.4 Boundary Conditions -- 8.5.5 Orthogonality of Normal Functions -- 8.5.6 Forced Vibration -- 8.5.7 Effect of Axial Force -- 8.5.8 Effects of Rotary Inertia and Shear Deformation -- 8.5.9 Beams on Elastic Foundation -- 8.5.10 Other Effects -- 8.6 Vibration of Membranes -- 8.6.1 Equation of Motion -- 8.6.2 Initial and Boundary Conditions -- 8.7 Rayleigh's Method -- 8.8 The Rayleigh-Ritz Method -- 8.9 Examples Using MATLAB -- Chapter Summary.
References.
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For courses in vibration engineering. � Building Knowledge: Concepts of Vibration in Engineering Retaining the style of previous editions, this�Sixth SI Edition�of�Mechanical Vibrations�effectively presents theory, computational aspects, and applications of vibration, introducing undergraduate engineering students to the subject of vibration engineering in as simple a manner as possible. Emphasizing computer techniques of analysis,�Mechanical Vibrations�thoroughly explains the fundamentals of vibration analysis, building on the understanding achieved by students in previous undergraduate mechanics courses. Related concepts are discussed, and real-life applications, examples, problems, and illustrations related to vibration analysis enhance comprehension of all concepts and material. In the�Sixth SI Edition, several additions and revisions have been made-including new examples, problems, and illustrations-with the goal of making coverage of concepts both more comprehensive and easier to follow.
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