440 Pages
    by CRC Press

    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 Outdated and theoretical material isn't covered, leaving room for modern applications such as autonomous oscillations, flow-induced vibrations, and parametric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.

    SIMPLE SYSTEMS
    Introduction and Resources
    Formulation of Translational Systems and Review of Units
    Formulation of Rotational Systems and Review of Second Moments
    Undamped Free Vibration and Static Deflection
    Energy Methods for Natural Frequency with an Introduction to Hamiltonian Methods
    Approximations for Distributed Systems and Hydrodynamic Inertia
    Periodic Force Excitation of Undamped Systems and Review of Numerical Fourier Analysis
    Unbalance Excitation and Rotating Shafts
    DAMPED SYSTEMS
    Damped Free Vibration and Logarithmic Decrement
    Formulation of Damping Terms and Hereditary Damping
    Periodic Excitation of Damped Systems and Forces at the Base
    Base Excitation and Dynamic Instrumentation
    Unbalance Excitation of Damped Systems and Forces at the Base
    Transients by Convolution
    Shock Spectra and Similitude
    Transients by Simulation
    Transients by Integral Transforms
    Random Vibrations and Statistical Concepts
    MULTI-DEGREE-OF-FREEDOM SYSTEMS
    Two-Directional Motion and Principal Coordinates
    Multi-Mass Systems from Newton's Law
    Combined Translation and Rotation and Mass Coupling
    Lagrangian Methods and Equivalent Coupling
    Flexibility Formulation and Estimation Methods
    Forced Excitation and Modal Analysis
    Damped Multi-Degree-of-Freedom Systems and State-Variable Formulations
    Whirling and Damping
    Transfer Matrices and Finite Elements
    CONTINUOUS SYSTEMS
    Tensioned Strings and Threadlines
    Pressure and Shear Waves, and Special End Conditions
    Continuous Media and Acoustic Measurements
    Beam Vibrations and Approximate Methods
    Column Vibrations and Rails and Pipes
    Modal Analyzers and Cross-Spectra
    PARAMETRIC EXCITATION
    Time-Varying Coefficients and Mathieu's Equation
    NON-LINEAR VIBRATION
    Linearization and Error Analysis
    The Phase Plane and Graphical Solutions
    Analytical Solution and Elliptic Integrals
    Pseudo-Linearization and Equivalent Damping
    Series Expansion and Subharmonics
    Numerical Simulation and Chaos
    Vibration Control, Active and Semi-active
    Flow-Induced Vibrations and Flow Instabilities
    Literature Searches
    INDEX

    Biography

    Peter M. Moretti

    "The author illustrates methods for reducing complex engineering problems to manageable analytical models."
    --Mechanical Engineering