Vibration Engineering / Chapter 1: |
Study of Vibration / 1.1: |
Application Areas / 1.2: |
History of Vibration / 1.3: |
Organization of the Book / 1.4: |
Problems |
References and Further Reading |
Author's Work |
Other Useful Publications |
Time Response / Chapter 2: |
Undamped Oscillator / 2.1: |
Energy Storage Elements / 2.1.1: |
Conservation of Energy / 2.1.2: |
Free Response / 2.1.3: |
Heavy Springs / 2.2: |
Kinetic Energy Equivalence / 2.2.1: |
Oscillations in Fluid Systems / 2.3: |
Damped Simple Oscillator / 2.4: |
Case 1: Underdamped Motion / 2.4.1: |
Logarithmic Decrement Method / 2.4.2: |
Case 2: Overdamped Motion / 2.4.3: |
Case 3: Critically Damped Motion / 2.4.4: |
Justification for the Trial Solution / 2.4.5: |
Stability and Speed of Response / 2.4.6: |
Forced Response / 2.5: |
Impulse Response Function / 2.5.1: |
Response to a Support Motion / 2.5.2: |
Frequency Response / Chapter 3: |
Response to Harmonic Excitations / 3.1: |
Response Characteristics / 3.1.1: |
Measurement of Damping Ratio (Q-Factor Method) / 3.1.2: |
Transform Techniques / 3.2: |
Transfer Function / 3.2.1: |
Frequency-Response Function (Frequency-Transfer Function) / 3.2.2: |
Transfer Function Matrix / 3.2.3: |
Mechanical Impedance Approach / 3.3: |
Interconnection Laws / 3.3.1: |
Transmissibility Functions / 3.4: |
Motion Transmissibility / 3.4.2: |
General Case / 3.4.3: |
Peak Values of Frequency-Response Functions / 3.4.4: |
Receptance Method / 3.5: |
Application of Receptance / 3.5.1: |
Vibration Signal Analysis / Chapter 4: |
Frequency Spectrum / 4.1: |
Frequency / 4.1.1: |
Amplitude Spectrum / 4.1.2: |
Phase Angle / 4.1.3: |
Phasor Representation of Harmonic Signals / 4.1.4: |
RMS Amplitude Spectrum / 4.1.5: |
One-Sided and Two-Sided Spectra / 4.1.6: |
Complex Spectrum / 4.1.7: |
Signal Types / 4.2: |
Fourier Analysis / 4.3: |
Fourier Integral Transform (FIT) / 4.3.1: |
Fourier Series Expansion (FSE) / 4.3.2: |
Discrete Fourier Transform (DFT) / 4.3.3: |
Aliasing Distortion / 4.3.4: |
Another Illustration of Aliasing / 4.3.5: |
Analysis of Random Signals / 4.4: |
Ergodic Random Signals / 4.4.1: |
Correlation and Spectral Density / 4.4.2: |
Frequency Response Using Digital Fourier Transform / 4.4.3: |
Leakage (Truncation Error) / 4.4.4: |
Coherence / 4.4.5: |
Parseval's Theorem / 4.4.6: |
Window Functions / 4.4.7: |
Spectral Approach to Process Monitoring / 4.4.8: |
Cepstrum / 4.4.9: |
Other Topics of Signal Analysis / 4.5: |
Bandwidth / 4.5.1: |
Transmission Level of a Bandpass Filter / 4.5.2: |
Effective Noise Bandwidth / 4.5.3: |
Half-Power (or 3 dB) Bandwidth / 4.5.4: |
Fourier Analysis Bandwidth / 4.5.5: |
Resolution in Digital Fourier Results / 4.6: |
Overlapped Processing / 4.7: |
Order Analysis / 4.7.1: |
Modal Analysis / Chapter 5: |
Degrees of Freedom and Independent Coordinates / 5.1: |
Nonholonomic Constraints / 5.1.1: |
System Representation / 5.2: |
Stiffness and Flexibility Matrices / 5.2.1: |
Inertia Matrix / 5.2.2: |
Direct Approach for Equations of Motion / 5.2.3: |
Modal Vibrations / 5.3: |
Orthogonality of Natural Modes / 5.4: |
Modal Mass and Normalized Modal Vectors / 5.4.1: |
Static Modes and Rigid Body Modes / 5.5: |
Static Modes / 5.5.1: |
Linear Independence of Modal Vectors / 5.5.2: |
Modal Stiffness and Normalized Modal Vectors / 5.5.3: |
Rigid Body Modes / 5.5.4: |
Modal Matrix / 5.5.5: |
Configuration Space and State Space / 5.5.6: |
Other Modal Formulations / 5.6: |
Non-Symmetric Modal Formulation / 5.6.1: |
Transformed Symmetric Modal Formulation / 5.6.2: |
Forced Vibration / 5.7: |
Damped Systems / 5.8: |
Proportional Damping / 5.8.1: |
State-Space Approach / 5.9: |
Mode Shapes of Nonoscillatory Systems / 5.9.1: |
Mode Shapes of Oscillatory Systems / 5.9.3: |
Distributed-Parameter Systems / Chapter 6: |
Transverse Vibration of Cables / 6.1: |
Wave Equation / 6.1.1: |
General (Modal) Solution / 6.1.2: |
Cable with Fixed Ends / 6.1.3: |
Application of Initial Conditions / 6.1.4: |
Longitudinal Vibration of Rods / 6.2: |
Equation of Motion / 6.2.1: |
Boundary Conditions / 6.2.2: |
Torsional Vibration of Shafts / 6.3: |
Shaft with Circular Cross Section / 6.3.1: |
Torsional Vibration of Noncircular Shafts / 6.3.2: |
Flexural Vibration of Beams / 6.4: |
Governing Equation for Thin Beams / 6.4.1: |
Free Vibration of a Simply Supported Beam / 6.4.2: |
Orthogonality of Mode Shapes / 6.4.5: |
Forced Bending Vibration / 6.4.6: |
Bending Vibration of Beams with Axial Loads / 6.4.7: |
Bending Vibration of Thick Beams / 6.4.8: |
Use of the Energy Approach / 6.4.9: |
Orthogonality with Inertial Boundary Conditions / 6.4.10: |
Damped Continuous Systems / 6.5: |
Modal Analysis of Damped Beams / 6.5.1: |
Vibration of Membranes and Plates / 6.6: |
Transverse Vibration of Membranes / 6.6.1: |
Rectangular Membrane with Fixed Edges / 6.6.2: |
Transverse Vibration of Thin Plates / 6.6.3: |
Rectangular Plate with Simply Supported Edges / 6.6.4: |
Damping / Chapter 7: |
Types of Damping / 7.1: |
Material (Internal) Damping / 7.1.1: |
Structural Damping / 7.1.2: |
Fluid Damping / 7.1.3: |
Representation of Damping in Vibration Analysis / 7.2: |
Equivalent Viscous Damping / 7.2.1: |
Complex Stiffness / 7.2.2: |
Loss Factor / 7.2.3: |
Measurement of Damping / 7.3: |
Step-Response Method / 7.3.1: |
Hysteresis Loop Method / 7.3.3: |
Magnification-Factor Method / 7.3.4: |
Bandwidth Method / 7.3.5: |
General Remarks / 7.3.6: |
Interface Damping / 7.4: |
Friction In Rotational Interfaces / 7.4.1: |
Instability / 7.4.2: |
Vibration Instrumentation / Chapter 8: |
Vibration Exciters / 8.1: |
Shaker Selection / 8.1.1: |
Dynamics of Electromagnetic Shakers / 8.1.2: |
Control System / 8.2: |
Components of a Shaker Controller / 8.2.1: |
Signal-Generating Equipment / 8.2.2: |
Performance Specification / 8.3: |
Parameters for Performance Specification / 8.3.1: |
Linearity / 8.3.2: |
Instrument Ratings / 8.3.3: |
Accuracy and Precision / 8.3.4: |
Motion Sensors and Transducers / 8.4: |
Potentiometer / 8.4.1: |
Variable-Inductance Transducers / 8.4.2: |
Mutual-Induction Proximity Sensor / 8.4.3: |
Self-Induction Transducers / 8.4.4: |
Permanent-Magnet Transducers / 8.4.5: |
AC Permanent-Magnet Tachometer / 8.4.6: |
AC Induction Tachometer / 8.4.7: |
Eddy Current Transducers / 8.4.8: |
Variable-Capacitance Transducers / 8.4.9: |
Piezoelectric Transducers / 8.4.10: |
Torque, Force, and Other Sensors / 8.5: |
Strain-Gage Sensors / 8.5.1: |
Miscellaneous Sensors / 8.5.2: |
Component Interconnection / 8.6: |
Impedance Characteristics / 8.6.1: |
Instrumentation Amplifier / 8.6.2: |
Signal Conditioning and Modification / Chapter 9: |
Amplifiers / 9.1: |
Operational Amplifier / 9.1.1: |
Use of Feedback in Op-amps / 9.1.2: |
Voltage, Current, and Power Amplifiers / 9.1.3: |
Instrumentation Amplifiers / 9.1.4: |
Amplifier Performance Ratings |
Analog Filters / 9.2: |
Passive Filters and Active Filters / 9.2.1: |
Low-Pass Filters / 9.2.2: |
High-Pass Filters / 9.2.3: |
Bandpass Filters / 9.2.4: |
Band-Reject Filters / 9.2.5: |
Modulators and Demodulators / 9.3: |
Amplitude Modulation / 9.3.1: |
Application of Amplitude Modulation / 9.3.2: |
Demodulation / 9.3.3: |
Analog/Digital Conversion / 9.4: |
Digital-to-Analog Conversion (DAC) / 9.4.1: |
Analog-to-Digital Conversion (ADC) / 9.4.2: |
ADC Performance Characteristics / 9.4.3: |
Sample-and-Hold (S/H) Circuitry / 9.4.4: |
Multiplexers (MUX) / 9.4.5: |
Digital Filters / 9.4.6: |
Bridge Circuits / 9.5: |
Wheatstone Bridge / 9.5.1: |
Constant-Current Bridge / 9.5.2: |
Bridge Amplifiers / 9.5.3: |
Impedance Bridges / 9.5.4: |
Linearizing Devices / 9.6: |
Linearization by Software / 9.6.1: |
Linearization by Hardware Logic / 9.6.2: |
Analog Linearizing Circuitry / 9.6.3: |
Offsetting Circuitry / 9.6.4: |
Proportional-Output Circuitry / 9.6.5: |
Miscellaneous Signal-Modification Circuitry / 9.7: |
Phase Shifter / 9.7.1: |
Voltage-to-Frequency Converter (VFC) / 9.7.2: |
Frequency-to-Voltage Converter (FVC) / 9.7.3: |
Voltage-to-Current Converter (VCC) / 9.7.4: |
Peak-Hold Circuit / 9.7.5: |
Signal Analyzers and Display Devices / 9.8: |
Signal Analyzers / 9.8.1: |
Oscilloscopes / 9.8.2: |
Vibration Testing / Chapter 10: |
Representation of a Vibration Environment / 10.1: |
Test Signals / 10.1.1: |
Deterministic Signal Representation / 10.1.2: |
Stochastic Signal Representation / 10.1.3: |
Frequency-Domain Representations / 10.1.4: |
Response Spectrum / 10.1.5: |
Comparison of Various Representations / 10.1.6: |
Pretest Procedures / 10.2: |
Purpose of Testing / 10.2.1: |
Service Functions / 10.2.2: |
Information Acquisition / 10.2.3: |
Test-Program Planning / 10.2.4: |
Pretest Inspection / 10.2.5: |
Testing Procedures / 10.3: |
Resonance Search / 10.3.1: |
Methods of Determining Frequency-Response Functions / 10.3.2: |
Resonance-Search Test Methods / 10.3.3: |
Mechanical Aging / 10.3.4: |
TRS Generation / 10.3.5: |
Instrument Calibration / 10.3.6: |
Test-Object Mounting / 10.3.7: |
Test-Input Considerations / 10.3.8: |
Product Qualification Testing / 10.4: |
Distribution Qualification / 10.4.1: |
Seismic Qualification / 10.4.2: |
Test Preliminaries / 10.4.3: |
Generation of RRS Specifications / 10.4.4: |
Experimental Modal Analysis / Chapter 11: |
Frequency-Domain Formulation / 11.1: |
Principle of Reciprocity / 11.1.1: |
Experimental Model Development / 11.2: |
Extraction of the Time-Domain Model / 11.2.1: |
Curve-Fitting of Transfer Functions / 11.3: |
Problem Identification / 11.3.1: |
Single-Degree-of-Freedom and Multi-Degree-of-Freedom Techniques / 11.3.2: |
Single-Degree-of-Freedom Parameter Extraction in the Frequency Domain / 11.3.3: |
Multi-Degree-of-Freedom Curve Fitting / 11.3.4: |
A Comment on Static Modes and Rigid Body Modes / 11.3.5: |
Residue Extraction / 11.3.6: |
Laboratory Experiments / 11.4: |
Lumped-Parameter System / 11.4.1: |
Distributed-Parameter System / 11.4.2: |
Commercial EMA Systems / 11.5: |
System Configuration / 11.5.1: |
Vibration Design and Control / Chapter 12: |
Shock and Vibration |
Specification of Vibration Limits / 12.1: |
Peak Level Specification / 12.1.1: |
RMS Value Specification / 12.1.2: |
Frequency-Domain Specification / 12.1.3: |
Vibration Isolation / 12.2: |
Design Considerations / 12.2.1: |
Vibration Isolation of Flexible Systems / 12.2.2: |
Balancing of Rotating Machinery / 12.3: |
Static Balancing / 12.3.1: |
Complex Number/Vector Approach / 12.3.2: |
Dynamic (Two-Plane) Balancing / 12.3.3: |
Experimental Procedure of Balancing / 12.3.4: |
Balancing of Reciprocating Machines / 12.4: |
Single-Cylinder Engine / 12.4.1: |
Balancing the Inertia Load of the Piston / 12.4.2: |
Multicylinder Engines / 12.4.3: |
Combustion/Pressure Load / 12.4.4: |
Whirling of Shafts / 12.5: |
Equations of Motion / 12.5.1: |
Steady-State Whirling / 12.5.2: |
Self-Excited Vibrations / 12.5.3: |
Design Through Modal Testing / 12.6: |
Component Modification / 12.6.1: |
Substructuring / 12.6.2: |
Passive Control of Vibration / 12.7: |
Undamped Vibration Absorber / 12.7.1: |
Damped Vibration Absorber / 12.7.2: |
Vibration Dampers / 12.7.3: |
Active Control of Vibration / 12.8: |
Active Control System / 12.8.1: |
Control Techniques / 12.8.2: |
Active Control of Saw Blade Vibration / 12.8.3: |
Control of Beam Vibrations / 12.9: |
State-Space Model of Beam Dynamics / 12.9.1: |
Control Problem / 12.9.2: |
Use of Linear Dampers / 12.9.3: |
Dynamic Models and Analogies / Appendix A: |
Model Development / A.1: |
Analogies / A.2: |
Mechanical Elements / A.3: |
Mass (Inertia) Element / A.3.1: |
Spring (Stiffness) Element / A.3.2: |
Electrical Elements / A.4: |
Capacitor Element / A.4.1: |
Inductor Element / A.4.2: |
Thermal Elements / A.5: |
Thermal Capacitor / A.5.1: |
Thermal Resistance / A.5.2: |
Fluid Elements / A.6: |
Fluid Capacitor / A.6.1: |
Fluid Inertor / A.6.2: |
Fluid Resistance / A.6.3: |
Natural Oscillations / A.6.4: |
State-Space Models / A.7: |
Linearization / A.7.1: |
Some Formal Definitions / A.7.2: |
Illustrative Example / A.7.4: |
Causality and Physical Realizability / A.7.5: |
Newtonian and Lagrangian Mechanics / Appendix B: |
Vector Kinematics / B.1: |
Euler's Theorem / B.1.1: |
Angular Velocity and Velocity at a Point of a Rigid Body / B.1.2: |
Rates of Unit Vectors Along Axes of Rotating Frames / B.1.3: |
Acceleration Expressed in Rotating Frames / B.1.4: |
Newtonian (Vector) Mechanics / B.2: |
Frames of Reference Rotating at Angular Velocity [omega] / B.2.1: |
Newton's Second Law for a Particle of Mass m / B.2.2: |
Second Law for a System of Particles - Rigidly or Flexibly Connected / B.2.3: |
Rigid Body Dynamics - Inertia Matrix and Angular Momentum / B.2.4: |
Manipulation of Inertia Matrix / B.2.5: |
Euler's Equations (for a Rigid Body Rotating at [omega]) / B.2.6: |
Euler's Angles / B.2.7: |
Lagrangian Mechanics / B.3: |
Kinetic Energy and Kinetic Coenergy / B.3.1: |
Work and Potential Energy / B.3.2: |
Holonomic Systems, Generalized Coordinates, and Degrees of Freedom / B.3.3: |
Hamilton's Principle / B.3.4: |
Lagrange's Equations / B.3.5: |
Example |
Review of Linear Algebra / Appendix C: |
Vectors and Matrices / C.1: |
Vector-Matrix Algebra / C.2: |
Matrix Addition and Subtraction / C.2.1: |
Null Matrix / C.2.2: |
Matrix Multiplication / C.2.3: |
Identity Matrix / C.2.4: |
Matrix Inverse / C.3: |
Matrix Transpose / C.3.1: |
Trace of a Matrix / C.3.2: |
Determinant of a Matrix / C.3.3: |
Adjoint of a Matrix / C.3.4: |
Inverse of a Matrix / C.3.5: |
Vector Spaces / C.4: |
Field (F) / C.4.1: |
Vector Space (L) / C.4.2: |
Subspace T of L / C.4.3: |
Linear Dependence / C.4.4: |
Basis and Dimension of a Vector Space / C.4.5: |
Inner Product / C.4.6: |
Norm / C.4.7: |
Gram-Schmidt Orthogonalization / C.4.8: |
Modified Gram-Schmidt Procedure / C.4.9: |
Determinants / C.5: |
Properties of Determinant of a Matrix / C.5.1: |
Rank of a Matrix / C.5.2: |
System of Linear Equations / C.6: |
References |
Digital Fourier Analysis and FFT / Appendix D: |
Unification of the Three Fourier Transform Types / D.1: |
Relationship Between DFT and FIT / D.1.1: |
Relationship Between DFT and FSE / D.1.2: |
Fast Fourier Transform (FFT) / D.2: |
Development of the Radix-Two FFT Algorithm / D.2.1: |
The Radix-Two FFT Procedure / D.2.2: |
Discrete Correlation and Convolution / D.2.3: |
Discrete Correlation / D.3.1: |
Digital Fourier Analysis Procedures / D.4: |
Fourier Transform Using DFT / D.4.1: |
Inverse DFT Using DFT / D.4.2: |
Simultaneous DFT of Two Real Data Records / D.4.3: |
Reduction of Computation Time for a Real Data Record / D.4.4: |
Convolution of Finite Duration Signals Using DFT / D.4.5: |
Reliability Considerations for Multicomponent Units / Appendix E: |
Failure Analysis / E.1: |
Reliability / E.1.1: |
Unreliability / E.1.2: |
Inclusion-Exclusion Formula / E.1.3: |
Bayes' Theorem / E.2: |
Product Rule for Independent Events / E.2.1: |
Failure Rate / E.2.2: |
Product Rule for Reliability / E.2.3: |
Answers to Numerical Problems |
Index |