كتاب Structural Vibration - Analysis And Damping

أخوانى فى الله
أحضرت لكم كتاب

Structural Vibration - Analysis And Damping

ويتناول الموضوعات الأتية :

Chapter Vibration Engineering
Study of Vibration
Application Areas
History of Vibration
Organization of the Book
Problems
References and Further Reading
Author’s Work
Other Useful Publications
Chapter Time Response
Undamped Oscillator
Energy Storage Elements
Inertia
Spring
Gravitational Potential Energy
Conservation of Energy
System (Translatory)
System (Rotatory)
System (Flexural)
System (Swinging)
System (Liquid Slosh)
System (Electrical)
Capacitor
Inductor
Free Response
Example
Solution
Heavy Springs
Kinetic Energy Equivalence
Example
Solution
Oscillations in Fluid Systems
Example
Solution
Damped Simple Oscillator
Case : Underdamped Motion
Initial Conditions
Logarithmic Decrement Method
Case : Overdamped Motion
Case : Critically Damped Motion
Justification for the Trial Solution
First-Order System
Second-Order System
Repeated Roots
Stability and Speed of Response
Example
Solution
Forced Response
Impulse Response Function
Forced Response
Response to a Support Motion
Impulse Response
The Riddle of Zero Initial Conditions
Step Response
Liebnitz’s Rule
Problems
Chapter Frequency Response
Response to Harmonic Excitations
Response Characteristics
Case
Case
Case
Particular Solution (Method )
Particular Solution (Method ): Complex Function Method
Resonance
Measurement of Damping Ratio (Q-Factor Method)
Example
Solution
Transform Techniques
Transfer Function
Frequency-Response Function (Frequency-Transfer Function)
Impulse Response
Case (
ζ < )
Case (
ζ > )
Case (
ζ = )
Step Response
Transfer Function Matrix
Example
Example
Example
Solution
Mechanical Impedance Approach
Mass Element
Spring Element
Damper Element
Interconnection Laws
Example
Example
Transmissibility Functions
Force Transmissibility
Motion Transmissibility
System Suspended on a Rigid Base (Force Transmissibility)
System with Support Motion (Motion Transmissibility)
General Case
Example
Peak Values of Frequency-Response Functions
Receptance Method
Application of Receptance
Undamped Simple Oscillator
Dynamic Absorber
Problems
Chapter Vibration Signal Analysis
Frequency Spectrum
Frequency
Amplitude Spectrum
Phase Angle
Phasor Representation of Harmonic Signals
RMS Amplitude Spectrum
One-Sided and Two-Sided Spectra
Complex Spectrum
Signal Types
Fourier Analysis
Fourier Integral Transform (FIT)
Fourier Series Expansion (FSE)
Discrete Fourier Transform (DFT)
Aliasing Distortion
Sampling Theorem
Aliasing Distortion in the Time Domain
Anti-Aliasing Filter
Example
Another Illustration of Aliasing
Example
Analysis of Random Signals
Ergodic Random Signals
Correlation and Spectral Density
Frequency Response Using Digital Fourier Transform
Leakage (Truncation Error)
Coherence
Parseval’s Theorem
Window Functions
Spectral Approach to Process Monitoring
Cepstrum
Other Topics of Signal Analysis
Bandwidth
Transmission Level of a Bandpass Filter
Effective Noise Bandwidth
Half-Power (or dB) Bandwidth
Fourier Analysis Bandwidth
Resolution in Digital Fourier Results
Overlapped Processing
Example
Order Analysis
Speed Spectral Map
Time Spectral Map
Order Tracking
Problems
Chapter Modal Analysis
Degrees of Freedom and Independent Coordinates
Nonholonomic Constraints
Example
Example
System Representation
Stiffness and Flexibility Matrices
Inertia Matrix
Direct Approach for Equations of Motion
Modal Vibrations
Example
Orthogonality of Natural Modes
Modal Mass and Normalized Modal Vectors
Static Modes and Rigid Body Modes
Static Modes
Linear Independence of Modal Vectors
Modal Stiffness and Normalized Modal Vectors
Rigid Body Modes
Example
Equation of Heave Motion
Equation of Pitch Motion
Example
First Mode (Rigid Body Mode)
Second Mode
Modal Matrix
Configuration Space and State Space
State Vector
Other Modal Formulations
Non-Symmetric Modal Formulation
Transformed Symmetric Modal Formulation
Example
Approach
Approach
Forced Vibration
Example
First Mode (Rigid Body Mode)
Second Mode (Oscillatory Mode)
Damped Systems
Proportional Damping
Example
State-Space Approach
Modal Analysis
Mode Shapes of Nonoscillatory Systems
Mode Shapes of Oscillatory Systems
Example
Problems
Chapter Distributed-Parameter Systems
Transverse Vibration of Cables
Wave Equation
General (Modal) Solution
Cable with Fixed Ends
Orthogonality of Natural Modes
Example
Solution
Application of Initial Conditions
Example
Solution
Longitudinal Vibration of Rods
Equation of Motion
Boundary Conditions
Example
Solution
Torsional Vibration of Shafts
Shaft with Circular Cross Section
Torsional Vibration of Noncircular Shafts
Example
Solution
Example
Solution
Flexural Vibration of Beams
Governing Equation for Thin Beams
Moment-Deflection Relation
Rotatory Dynamics (Equilibrium)
Transverse Dynamics
Modal Analysis
Boundary Conditions
Free Vibration of a Simply Supported Beam
Normalization of Mode Shape Functions
Initial Conditions
Orthogonality of Mode Shapes
Case of Variable Cross Section
Forced Bending Vibration
Example
Solution
Example
Solution
Bending Vibration of Beams with Axial Loads
Bending Vibration of Thick Beams
Use of the Energy Approach
Orthogonality with Inertial Boundary Conditions
Rotatory Inertia
Damped Continuous Systems
Modal Analysis of Damped Beams
Example
Solution
Vibration of Membranes and Plates
Transverse Vibration of Membranes
Rectangular Membrane with Fixed Edges
Transverse Vibration of Thin Plates
Rectangular Plate with Simply Supported Edges
Problems
Chapter Damping
Types of Damping
Material (Internal) Damping
Viscoelastic Damping
Hysteretic Damping
Example
Solution
Structural Damping
Fluid Damping
Example
Solution
Representation of Damping in Vibration Analysis
Equivalent Viscous Damping
Complex Stiffness
Example
Solution
Loss Factor
Measurement of Damping
Logarithmic Decrement Method
Step-Response Method
Hysteresis Loop Method
Example
Solution
Magnification-Factor Method
Bandwidth Method
General Remarks
Interface Damping
Example
Solution
Friction In Rotational Interfaces
Instability
Problems
Chapter Vibration Instrumentation
Vibration Exciters
Shaker Selection
Force Rating
Power Rating
Stroke Rating
Example
Solution
Hydraulic Shakers
Inertial Shakers
Electromagnetic Shakers
Dynamics of Electromagnetic Shakers
Transient Exciters
Control System
Components of a Shaker Controller
Compressor
Equalizer (Spectrum Shaper)
Tracking Filter
Excitation Controller (Amplitude Servo-Monitor)
Signal-Generating Equipment
Oscillators
Random Signal Generators
Tape Players
Data Processing
Performance Specification
Parameters for Performance Specification
Time-Domain Specifications
Frequency-Domain Specifications
Linearity
Instrument Ratings
Rating Parameters
Accuracy and Precision
Motion Sensors and Transducers
Potentiometer
Potentiometer Resolution
Optical Potentiometer
Variable-Inductance Transducers
Mutual-Induction Transducers
Linear-Variable Differential Transformer (LVDT)
Signal Conditioning
Example
Solution
Mutual-Induction Proximity Sensor
Self-Induction Transducers
Permanent-Magnet Transducers
AC Permanent-Magnet Tachometer
AC Induction Tachometer
Eddy Current Transducers
Variable-Capacitance Transducers
Capacitive Displacement Sensors
Capacitive Angular Velocity Sensor
Capacitance Bridge Circuit
Piezoelectric Transducers
Sensitivity
Example
Solution
Piezoelectric Accelerometer
Charge Amplifier
Torque, Force, and Other Sensors
Strain-Gage Sensors
Equations for Strain-Gage Measurements
Bridge Sensitivity
The Bridge Constant
Example
Solution
The Calibration Constant
Example
Solution
Data Acquisition
Accuracy Considerations
Semiconductor Strain Gages
Force and Torque Sensors
Strain-Gage Torque Sensors
Deflection Torque Sensors
Variable-Reluctance Torque Sensor
Reaction Torque Sensors
Miscellaneous Sensors
Stroboscope
Fiber-Optic Sensors and Lasers
Fiber-Optic Gyroscope
Laser Doppler Interferometer
Ultrasonic Sensors
Gyroscopic Sensors
Component Interconnection
Impedance Characteristics
Cascade Connection of Devices
Impedance-Matching Amplifiers
Operational Amplifiers
Voltage Followers
Charge Amplifiers
Instrumentation Amplifier
Ground Loop Noise
Problems
Chapter Signal Conditioning and Modification
Amplifiers
Operational Amplifier
Example
Solution
Use of Feedback in Op-amps
Voltage, Current, and Power Amplifiers
Instrumentation Amplifiers
Differential Amplifier
Common Mode
Amplifier Performance Ratings
Example
Solution
Common-Mode Rejection Ratio (CMRR)
AC-Coupled Amplifiers
Analog Filters
Passive Filters and Active Filters
Number of Poles
Low-Pass Filters
Example
Solution
Low-Pass Butterworth Filter
Example
Solution
High-Pass Filters
Bandpass Filters
Resonance-Type Bandpass Filters
Example
Solution
Band-Reject Filters
Modulators and Demodulators
Amplitude Modulation
Modulation Theorem
Side Frequencies and Side Bands
Application of Amplitude Modulation
Fault Detection and Diagnosis
Demodulation
Analog/Digital Conversion
Digital-to-Analog Conversion (DAC)
Weighted-Resistor DAC
Ladder DAC
DAC Error Sources
Analog-to-Digital Conversion (ADC)
Successive-Approximation ADC
Dual-Slope ADC
Counter ADC
ADC Performance Characteristics
Resolution and Quantization Error
Monotonicity, Nonlinearity, and Offset Error
ADC Conversion Rate
Sample-and-Hold (S/H) Circuitry
Multiplexers (MUX)
Analog Multiplexers
Digital Multiplexers
Digital Filters
Software Implementation and Hardware Implementation
Bridge Circuits
Wheatstone Bridge
Constant-Current Bridge
Bridge Amplifiers
Half-Bridge Circuits
Impedance Bridges
Owen Bridge
Wien-Bridge Oscillator
Linearizing Devices
Linearization by Software
Linearization by Hardware Logic
Analog Linearizing Circuitry
Offsetting Circuitry
Proportional-Output Circuitry
Curve-Shaping Circuitry
Miscellaneous Signal-Modification Circuitry
Phase Shifter
Voltage-to-Frequency Converter (VFC)
Frequency-to-Voltage Converter (FVC)
Voltage-to-Current Converter (VCC)
Peak-Hold Circuit
Signal Analyzers and Display Devices
Signal Analyzers
Oscilloscopes
Triggering
Lissajous Patterns
Digital Oscilloscopes
Problems
Chapter Vibration Testing
Representation of a Vibration Environment
Test Signals
Stochastic versus Deterministic Signals
Deterministic Signal Representation
Single-Frequency Signals
Sine Sweep
Sine Dwell
Decaying Sine
Sine Beat
Sine Beat with Pauses
Multifrequency Signals
Actual Excitation Records
Simulated Excitation Signals
Stochastic Signal Representation
Ergodic Random Signals
Stationary Random Signals
Independent and Uncorrelated Signals
Transmission of Random Excitations
Frequency-Domain Representations
Fourier Spectrum Method
Power Spectral Density Method
Response Spectrum
Displacement, Velocity, and Acceleration Spectra
Response-Spectra Plotting Paper
Zero-Period Acceleration
Uses of Response Spectra
Comparison of Various Representations
Pretest Procedures
Purpose of Testing
Service Functions
Active Equipment
Passive Equipment
Functional Testing
Information Acquisition
Interface Details
Effect of Neglecting Interface Dynamics
Effects of Damping
Effects of Inertia
Effect of Natural Frequency
Effect of Excitation Frequency
Other Effects of Interface
Test-Program Planning
Testing of Cabinet-Mounted Equipment
Pretest Inspection
Testing Procedures
Resonance Search
Methods of Determining Frequency-Response Functions
Fourier Transform Method
Spectral Density Method
Harmonic Excitation Method
Resonance-Search Test Methods
Hammer (Bump) Test and Drop Test
Pluck Test
Shaker Tests
Mechanical Aging
Equivalence for Mechanical Aging
Excitation-Intensity Equivalence
Dynamic-Excitation Equivalence
Cumulative Damage Theory
TRS Generation
Instrument Calibration
Test-Object Mounting
Test-Input Considerations
Test Nomenclature
Testing with Uncorrelated Excitations
Symmetrical Rectilinear Testing
Geometry versus Dynamics
Some Limitations
Testing of Black Boxes
Phasing of Excitations
Testing a Gray or White Box
Overtesting in Multitest Sequences
Product Qualification Testing
Distribution Qualification
Drive-Signal Generation
Distribution Spectra
Test Procedures
Seismic Qualification
Stages of Seismic Qualification
Test Preliminaries
Single-Frequency Testing
Multifrequency Testing
Generation of RRS Specifications
Problems
Chapter Experimental Modal Analysis
Frequency-Domain Formulation
Transfer Function Matrix
Principle of Reciprocity
Example
Experimental Model Development
Extraction of the Time-Domain Model
Curve-Fitting of Transfer Functions
Problem Identification
Single-Degree-of-Freedom and Multi-Degree-of-Freedom Techniques
Single-Degree-of-Freedom Parameter Extraction in the Frequency Domain
Circle-Fit Method
Peak Picking Method
Multi-Degree-of-Freedom Curve Fitting
Formulation of the Method
A Comment on Static Modes and Rigid Body Modes
Residue Extraction
Laboratory Experiments
Lumped-Parameter System
Frequency-Domain Test
Time-Domain Test
Distributed-Parameter System
Commercial EMA Systems
System Configuration
FFT Analysis Options
Modal Analysis Components
Problems
Chapter Vibration Design and Control
Shock and Vibration
Specification of Vibration Limits
Peak Level Specification
RMS Value Specification
Frequency-Domain Specification
Vibration Isolation
Example
Solution
Design Considerations
Example
Solution
Vibration Isolation of Flexible Systems
Balancing of Rotating Machinery
Static Balancing
Balancing Approach
Complex Number/Vector Approach
Example
Solution
Dynamic (Two-Plane) Balancing
Example
Solution
Experimental Procedure of Balancing
Balancing of Reciprocating Machines
Single-Cylinder Engine
Balancing the Inertia Load of the Piston
Multicylinder Engines
Two-Cylinder Engine
Six-Cylinder Engine
Example
Solution
Combustion/Pressure Load
Whirling of Shafts
Equations of Motion
Steady-State Whirling
Example
Solution
Self-Excited Vibrations
Design Through Modal Testing
Component Modification
Example
Solution
Substructuring
Passive Control of Vibration
Undamped Vibration Absorber
Example
Solution
Damped Vibration Absorber
Optimal Absorber Design
Example
Solution
Vibration Dampers
Active Control of Vibration
Active Control System
Control Techniques
State-Space Models
Example
Solution
Position and Velocity Feedback
Linear Quadratic Regulator (LQR) Control
Modal Control
Active Control of Saw Blade Vibration
Control of Beam Vibrations
State-Space Model of Beam Dynamics
Control Problem
Use of Linear Dampers
Design Example
Problems
Appendix A Dynamic Models and Analogies
A Model Development
A Analogies
A Mechanical Elements
A Mass (Inertia) Element
A Spring (Stiffness) Element
A Electrical Elements
A Capacitor Element
A Inductor Element
A Thermal Elements
A Thermal Capacitor
A Thermal Resistance
A Fluid Elements
A Fluid Capacitor
A Fluid Inertor
A Fluid Resistance
A Natural Oscillations
A State-Space Models
A Linearization
A Time Response
A Some Formal Definitions
A Illustrative Example
A Causality and Physical Realizability
Appendix B Newtonian and Lagrangian Mechanics
B Vector Kinematics
B Euler’s Theorem
Important Corollary
Proof
B Angular Velocity and Velocity at a Point of a Rigid Body
Theorem
Proof
B Rates of Unit Vectors Along Axes of Rotating Frames
General Result
Cartesian Coordinates
Polar Coordinates (-D)
Spherical Polar Coordinates
Tangential-Normal (Intrinsive) Coordinates (-D)
B Acceleration Expressed in Rotating Frames
Spherical Polar Coordinates
Tangential-Normal Coordinates (-D)
B Newtonian (Vector) Mechanics
B Frames of Reference Rotating at Angular Velocity
w
B Newton’s Second Law for a Particle of Mass m
B Second Law for a System of Particles — Rigidly or Flexibly Connected
B Rigid Body Dynamics — Inertia Matrix and Angular Momentum
B Manipulation of Inertia Matrix
Parallel Axis Theorem— Translational Transformation of [I]
Rotational Transformation of [I]
Principal Directions (Eigenvalue Problem)
Mohr’s Circle
B Euler’s Equations (for a Rigid Body Rotating at
w)
B Euler’s Angles
B Lagrangian Mechanics
B Kinetic Energy and Kinetic Coenergy
B Work and Potential Energy
Examples
B Holonomic Systems, Generalized Coordinates, and Degrees of Freedom
B Hamilton’s Principle
B Lagrange’s Equations
Example
Generalized Coordinates
Generalized Nonconservative Forces
Lagrangian
Lagrange’s Equations
Appendix C Review of Linear Algebra
C Vectors and Matrices
C Vector-Matrix Algebra
C Matrix Addition and Subtraction
C Null Matrix
C Matrix Multiplication
C Identity Matrix
C Matrix Inverse
C Matrix Transpose
C Trace of a Matrix
C Determinant of a Matrix
C Adjoint of a Matrix
C Inverse of a Matrix
C Vector Spaces
C Field (
)
C Vector Space (
)
Properties
Special Case
C Subspace
of

C Linear Dependence
C Basis and Dimension of a Vector Space
C Inner Product
C Norm
Properties
C Gram-Schmidt Orthogonalization
C Modified Gram-Schmidt Procedure
C Determinants
C Properties of Determinant of a Matrix
C Rank of a Matrix
C System of Linear Equations
References
Appendix D Digital Fourier Analysis and FFT
D Unification of the Three Fourier Transform Types
D Relationship Between DFT and FIT
D Relationship Between DFT and FSE
D Fast Fourier Transform (FFT)
D Development of the Radix-Two FFT Algorithm
D The Radix-Two FFT Procedure
D Illustrative Example
D Discrete Correlation and Convolution
D Discrete Correlation
Discrete Correlation Theorem
Discrete Convolution Theorem
D Digital Fourier Analysis Procedures
D Fourier Transform Using DFT
D Inverse DFT Using DFT
D Simultaneous DFT of Two Real Data Records
D Reduction of Computation Time for a Real Data Record
D Convolution of Finite Duration Signals Using DFT
Wraparound Error
Data-Record Sectioning in Convolution
Appendix E Reliability Considerations for Multicomponent Units
E Failure Analysis
E Reliability
E Unreliability
E Inclusion–Exclusion Formula
Example
E Bayes’ Theorem
E Product Rule for Independent Events
E Failure Rate
E Product Rule for Reliability
Answers to Numerical Problems

أتمنى أن تستفيدوا منه وأن ينال إعجابكم

كتاب Structural Vibration - Analysis And Damping 161876