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Textbook

Mechanical and Structural Vibrations: Theory and Applications

ISBN: 978-0-471-37084-0
Paperback
712 pages
January 2001, ©2001
List Price: US $223.95
Government Price: US $167.64
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  • 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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