© 2004

Engineering Vibration Analysis

Worked Problems 1


  • Selected topics of the advanced theory of vibrations


Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

Table of contents

  1. Front Matter
    Pages I-X
  2. Problems and Examples in Vibration Theory

    1. Front Matter
      Pages 1-1
  3. Back Matter
    Pages 101-319

About this book


The two-volume work "Engineering Vibration Analysis" is devoted to problems on vibration theory analysis, which is currently one of the fundamental courses in mechanical engineering departments at technical universities.

The first volume is devoted to systems with a finite number of degrees of freedom and continuous systems are analyzed in the second. In the first part of each volume problems are posed and in the second part the detailed solutions to these problems are dealt with. Conventional and advanced problems requiring deeper knowledge of the vibration theory are analyzed. In particular, problems are formulated associated with the determination of frequencies and vibration modes, the study of free and forced vibrations, as well as with parametric and nonlinear vibration analysis. The problems associated with determination of critical parameters, dynamic stability and with random vibrations are also considered. The algorithms for their solutions are presented with probability characteristics calculation, and a reliability estimation (probability of non-failure operation) of the corresponding mechanical system.


Degrees of freedom Dynamics Frequency Mechanics Nonlinear Vibrations Vibration Vibrations stability

Authors and affiliations

  1. 1.Department of Applied MechanicsBauman Moscow State, Technical UniversityMoscowRussian Federation

Bibliographic information

  • Book Title Engineering Vibration Analysis
  • Book Subtitle Worked Problems 1
  • Authors Valery A. Svetlitsky
  • Series Title Foundations of Engineering Mechanics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-20658-3
  • Softcover ISBN 978-3-642-05842-4
  • eBook ISBN 978-3-540-40970-0
  • Series ISSN 1612-1384
  • Series E-ISSN 1860-6237
  • Edition Number 1
  • Number of Pages X, 322
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Classical Mechanics
    Theoretical and Applied Mechanics
    Computational Intelligence
  • Buy this book on publisher's site
Industry Sectors
Energy, Utilities & Environment


From the reviews:

When placed in the context of a mechanical or aerospace engineering program at a typical US university, the worked example problems in these … texts are very advanced. … could be incorporated into both undergraduate and graduate level vibrations courses, as well as a graduate level non-linear vibrations course." (Sally A. McInerny and Stanley E. Jones, International Journal of Acoustics and Vibration, Vol. 10 (4), 2006)

"The book is a collection of problems concerned with vibrations of systems with finite number of degrees of freedom. The formulated problems are associated with determination of frequencies and forms of vibrations, with the analysis of forced vibrations, and with the investigation of stable and unstable vibrations. The book may be regarded as a problem book for students and engineers working in the area of vibrations of engineering structures." (Yuri N.Sankin, Zentralblatt MATH, Vol. 1123 (1), 2008)