Furnishes engineering professionals with tools for contemporary field diagnostics
Updates manual computation to standard, PC-workable formats
Explores modern applications, such as autonomous oscillations, flow-induced vibrations, and parametric excitation
Presents subjects in readable, progressive format
Modern Vibrations Primer provides practicing mechanical engineers with guidance through the computer-based problem solving process. The book illustrates methods for reducing complex engineering problems to manageable, analytical models. It is the first vibrations guide written with a contemporary approach for integration with computers.
Ideal for self-study, each chapter contains a helpful exposition that emphasizes practical application and builds in complexity as it progresses. Chapters address discrete topics, creating an outstanding reference tool. The lecture-like format is easy to read. The primer first promotes a fundamental understanding, then advances further to problem solving, design prediction and trouble shooting. Outdated and theoretical material isn't covered, leaving room for modern applications such as autonomous oscillations, flow-induced vibrations, and parametric excitation
Until recently, some procedures , like arbitrarily-damped, multi-dimensional problems, were impractical. New methods have made them solvable, using PC-based matrix calculation and algebraic manipulation. Modern Vibrations Primer shows how to utilize these current resources by putting problems into standard mathematical forms, which can be worked out by any of a number of widely employed software programs. This book is necessary for any professional seeking to adapt their vibrations knowledge to a modern environment.
Part I : Simple Systems
Chapter 1 : Introduction and Resources
Chapter 2 : Formulation of Translational Systems and Review of Units
Chapter 3 : Formulation of Rotational Systems and Review of Second Moments
Chapter 4 : Undamped Free Vibration and Static Deflection
Chapter 5 : Energy Methods for Natural Frequency with an Introduction to Hamiltonian Methods
Chapter 6 : Approximations for Distributed Systems and Hydrodynamic Inertia
Chapter 7 : Periodic Force Excitation of Undamped Systems and Review of Numerical Fourier Analysis
Chapter 8 : Unbalance Excitation and Rotating Shafts
Part II : Damped Systems
Chapter 9 : Damped Free Vibration and Logarithmic Decrement
Chapter 10 : Formulation of Damping Terms and Hereditary Damping
Chapter 11 : Periodic Excitation of Damped Systems and Forces at the Base
Chapter 12 : Base Excitation and Dynamic Instrumentation
Chapter 13 : Unbalance Excitation of Damped Systems and Forces at the Base
Chapter 14 : Transients by Convolution
Chapter 15 : Shock Spectra and Similitude
Chapter 16 : Transients by Simulation
Chapter 17 : Transients by Integral Transforms
Chapter 18 : Random Vibrations and Statistical Concepts
Part III : Multi-Degree-of-Freedom Systems
Chapter 19 : Two-Directional Motion and Principal Coordinates
Chapter 20 : Multi-Mass Systems from Newton's Law
Chapter 21 : Combined Translation and Rotation and Mass Coupling
Chapter 22 : Lagrangian Methods and Equivalent Coupling
Chapter 23 : Flexibility Formulation and Estimation Methods
Chapter 24 : Forced Excitation and Modal Analysis
Chapter 25 : Damped Multi-Degree-of-Freedom Systems and State-Variable Formulations
Chapter 26 : Whirling and Damping
Chapter 27 : Transfer Matrices and Finite Elements
Part IV : Continuous Systems
Chapter 28 : Tensioned Strings and Threadlines
Chapter 29 : Pressure and Shear Waves, and Special End Conditions
Chapter 30 : Continuous Media and Acoustic Measurements
Chapter 31 : Beam Vibrations and Approximate Methods
Chapter 32 : Column Vibrations and Rails and Pipes
Chapter 33 : Modal Analyzers and Cross-Spectra
Part V : Parametric Excitation
Chapter 34 : Time-Varying Coefficients and Mathieu's Equation
Part VI : Non-Linear Vibration
Chapter 35 : Linearization and Error Analysis
Chapter 36 : The Phase Plane and Graphical Solutions
Chapter 37 : Analytical Solution and Elliptic Integrals
Chapter 38 : Pseudo-Linearization and Equivalent Damping
Chapter 39 : Series Expansion and Subharmonics
Chapter 40 : Numerical Simulation and Chaos
Chapter 41 : Vibration Control, Active and Semi-active
Chapter 42 : Flow-Induced Vibrations and Flow Instabilities
Chapter 43 : Literature Searches
Index
