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Modern Vibrations Primer: 1st Edition (Hardback) book cover

Modern Vibrations Primer

1st Edition

By Peter M. Moretti

CRC Press

440 pages

Purchasing Options:$ = USD
Hardback: 9780849320385
pub: 1999-12-02
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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 Outdated and theoretical material isn't covered, leaving room for modern applications such as autonomous oscillations, flow-induced vibrations, and parametric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.


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

--Mechanical Engineering

Table of Contents


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 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


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


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


Time-Varying Coefficients and Mathieu's Equation


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


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