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Mechanical and Structural Vibrations: Theory and Applications

ISBN: 978-0-471-37084-0
704 pages
January 2001, ©2001
Mechanical and Structural Vibrations: Theory and Applications (0471370843) cover image


This text offers a modern approach to vibrations. Equal emphasis is given to analytical derivations, computational procedures, problem solving, and physical interpretation of results. Appropriate for undergraduate or first year graduate level courses.
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Table of Contents

Equations of Motion for Discrete Systems

Transient Response of One-Degree-of-Freedom Systems

Steady-State Response to Harmonic Excitation

Modal Analysis of Multi-Degree-of-Freedom Systems

Harmonic Exicatation of Multi-Degree-of-Freedom Systems

Vibration of Elastic Bars: The Ritz Method and the Rayleigh Ratio

Field Descriptions for Vibrating Bars

The Finite Element Method

Substructuring Concepts

Damped Modal Analysis

Modal Analysis of Gyroscopic Systems

Introduction to Rotordynamics

Calculus of Variations

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The Wiley Advantage

  • New formulation based on the principle of power balance as the basic method for deriving equations of motion for one- and multi-degree-of-freedom models. This approach allows for direct application of Lagrange's equations as an alternative.
  • Equal emphasis on Matlab and Mathcad, including identification of errors commonly made by students when each program is used for vibration analysis.
  • Thorough treatment of FFT technology, and its application to vibrations.
  • Analysis of transient response using frequency domain convolution, including avoidance of aliasing, wraparound, and leakage errors.
  • Experimental identification of system parameters for one-degree-of-freedom systems.
  • Experimental model analysis for multi-degree-of-freedom systems.
  • Extensive discussions of physical significance of results.
  • Uses recent research in many examples, such as mode localization in bladed disks and beams, and dynamic stability of pipes.
  • Study of continuum vibrations does not require knowledge of partial differential equations.
  • The primary tool for continuum vibrations is Ritz series expansions, which is applied to axial, torsional, and flexural vibration of bars having masses, springs, and dashpots at arbitrary locations.
  • New formulation of modal analysis for arbitrarily damped, but non-gyroscopic, systems leads to symmetric state-space eigenvalue problem.
  • The approach builds on familiarity with undamped modal analysis, and is highly accessible.
  • Underdamped and overdamped modes are explained relative to analogous behavior of one-degree-of-freedom systems.
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"This book provides an accessible, modern approach to vibrations" (La Doc STI, May 2001)

"innovative, well-written and well-produced" (The Aeronautical Journal, November 2001)
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Professor Reviews

Review from Applied Mechanics Reviews

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