Non-Classical Vibrations of Arches and Beams
By Karnovsky, Igor A. and Lebed, Olga

This monograph provides solutions to a large variety of vibration problems of arches and beams. The intent is to provide information that is not currently available and solutions for the eigenvalues and eigenfunctions problems that engineers and researchers use for the advanced analysis of dynamical behavior of arches and beams. Written by noted experts in vibration theory and optimal control of vibration, this unique resource provides eigenvalues and eigenfunctions for:

* Bernoulli-Euler beams on elastic foundation
* Beams under compressive and tensile axial loads
* Bress-Timoshenko beams
* Non-uniform beams
* Optimal designed beams
* Non-linear vibrations
* Arches

Results are provided through numerous tables, charts, and worked solutions.

DOI: 10.1036/0071431888

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Author Biography

Igor A. Karnovsky has an M.A. in Civil Engineering (1962, Ukraine)Ph.D. in Structural Mechanics (1970, Ukraine)Dr.Sc. in Dynamics of Structures and Apparatus (1989, Georgia) Igor A. Karnovsky is a specialist in structural mechanics, theory of vibration, and optimal control of vibrations. He has 25 years experience of researching, teaching, and consulting and has more than 60 scientific articles and patents published.

Olga Lebed has M.A. in Civil Engineering (1984, Ukraine)M.Sc. in Mathematics Education (1998, Canada)Olga Lebed is a specialist in engineering mechanics, stress analysis, and structural mechanics. She has 10 years experience as a structural engineer, researcher, and instructor. She has 12 scientific articles published. She teaches engineering courses at the British Columbia Institute of Technology.

Non-Classical Vibrations of Arches and Beams
Author(s): Karnovsky, Igor A. and Lebed, Olga
ISBN: 0071431888
DOI: 10.1036/0071431888

Format: hardcover, 239 pages.
Pub date: 14 Jan 2004
Copyright: 2004
$130.00 US
Product Line: McGraw-Hill Professional

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