Engineering Vibrations  book cover
2nd Edition

Engineering Vibrations

ISBN 9781439830352
Published December 11, 2014 by CRC Press
927 Pages 173 B/W Illustrations

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Book Description

A thorough study of the oscillatory and transient motion of mechanical and structural systems, Engineering Vibrations, Second Edition presents vibrations from a unified point of view, and builds on the first edition with additional chapters and sections that contain more advanced, graduate-level topics. Using numerous examples and case studies to reinforce concepts, the author reviews basic principles, incorporates advanced abstract concepts from first principles, and weaves together physical interpretation and fundamental principles with applied problem solving. For each class of system, the text explores the fundamental dynamics and studies free and forced vibrations. This revised version combines the physical and mathematical facets of vibration, and emphasizes the connecting ideas, concepts, and techniques.

What’s New in the Second Edition:

  • Includes a section on the forced response of structurally damped one-dimensional continua
  • Adds three new chapters: Dynamics of Two-Dimensional Continua, Free Vibration of Two-Dimensional Continua, and Forced Vibration of Two-Dimensional Continua
  • Addresses the linear and geometrically nonlinear characterization of three-dimensional deformation for mathematically two-dimensional structures, and the dynamics and vibration of various types of structures within this class
  • Covers deformation, dynamics, and vibration of membranes, of Kirchhoff plates, of von Karman plates, and of Mindlin plates
  • Details a full development for the characterization of deformation and motion for mathematically two-dimensional continua
  • Discusses the free and forced vibration of two-dimensional continua and the steady state response of two-dimensional continua with structural damping

Engineering Vibrations, Second Edition offers a systematic and unified treatment of mechanical and structural vibrations, and provides you with a complete overview of vibration theory and analysis.

Table of Contents

Preliminaries. Free Vibration of Single Degree Of Freedom Systems. Forced Vibration of Single Degree Of Freedom Systems – 1: Periodic Excitation. Forced Vibration of Single Degree Of Freedom Systems – 2: Nonperiodic Excitation. Operational Methods. Dynamics of Multi-Degree of Freedom Systems. Free Vibration of Multi-Degree of Freedom Systems. Forced Vibration of Multi-Degree of Freedom Systems. Dynamics of One-Dimensional Continua. Free Vibration of One-Dimensional Continua. Forced Vibration of One-Dimensional Continua. Dynamics of Two-Dimensional Continua. Free Vibration of Two-Dimensional Continua. Forced Vibration of Two-Dimensional Continua. Index.

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William J. Bottega is Professor of Mechanical and Aerospace Engineering at Rutgers University, where he has been since 1984. He received his Ph.D. in applied mechanics from Yale University, his M.S. in theoretical and applied mechanics from Cornell University, and his B.E. from the City College of New York. He also spent several years in R&D at General Dynamics where he worked on vibration and sound-structure interaction problems. In addition, Dr. Bottega is the author of numerous archival publications on various areas of theoretical and applied mechanics.


"This book is a pleasure to read. The book is very thorough and rigorous, yet it is student-friendly with very readable text and excellent illustrative examples."
—Haim Baruh, Rutgers University, New Brunswick, New Jersey, USA

"The book’s breadth of coverage, and the depth of its treatment of the mathematical foundations of the subject, makes it valuable as either a reference or a text for either a practitioner or a first graduate-level course in vibrations. …As sound and complete a foundation for vibration of two-dimensional continua as you will find anywhere. If you have only one reference on the subject, this is the one to have."
—J. A. M. Boulet, The University of Tennessee, Knoxville, USA

"In the field of vibration analysis, it is useful to observe many points of view and also gain insight as various experts approach a problem and then go about solving it. I would certainly recommend Bottega's Engineering Vibrations as a companion to some of the classical references."
—Noise Control Engineering, March-April 2017