Springer Tracts in Mechanical Engineering

Vibrations and Stability of Complex Beam Systems

Authors: Stojanović, Vladimir, Kozic, Predrag

Free Preview
  • Reports on original methods and solutions for vibration analysis of complex beam systems
  • Offers a detailed presentation of theoretical investigations of both linear vibrations of elastically connected beams and geometrically nonlinear vibrations of damaged beams
  • Describes a new, improved p-version of the finite element method for dealing with geometrically non-linear vibrations of damaged Timoshenko beams
see more benefits

Buy this book

eBook n/a
  • ISBN 978-3-319-13767-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-3-319-13766-7
  • Free shipping for individuals worldwide
Softcover n/a
  • ISBN 978-3-319-36731-6
  • Free shipping for individuals worldwide
About this book

This book reports on solved problems concerning vibrations and stability of complex beam systems. The complexity of a system is considered from two points of view: the complexity originating from the nature of the structure, in the case of two or more elastically connected beams; and the complexity derived from the dynamic behavior of the system, in the case of a damaged single beam, resulting from the harm done to its simple structure. Furthermore, the book describes the analytical derivation of equations of two or more elastically connected beams, using four different theories (Euler, Rayleigh, Timoshenko and Reddy-Bickford). It also reports on a new, improved p-version of the finite element method for geometrically nonlinear vibrations. The new method provides more accurate approximations of solutions, while also allowing us to analyze geometrically nonlinear vibrations. The book describes the appearance of longitudinal vibrations of damaged clamped-clamped beams as a result of discontinuity (damage). It describes the cases of stability in detail, employing all four theories, and provides the readers with practical examples of stochastic stability. Overall, the book succeeds in collecting in one place theoretical analyses, mathematical modeling and validation approaches based on various methods, thus providing the readers with a comprehensive toolkit for performing vibration analysis on complex beam systems.

Table of contents (8 chapters)

Table of contents (8 chapters)
  • Introductory Remarks

    Stojanović, Vladimir (et al.)

    Pages 1-15

  • Free Vibrations and Stability of an Elastically Connected Double-Beam System

    Stojanović, Vladimir (et al.)

    Pages 17-50

  • Effects of Axial Compression Forces, Rotary Inertia and Shear on Forced Vibrations of the System of Two Elastically Connected Beams

    Stojanović, Vladimir (et al.)

    Pages 51-79

  • Static and Stochastic Stability of an Elastically Connected Beam System on an Elastic Foundation

    Stojanović, Vladimir (et al.)

    Pages 81-101

  • The Effects of Rotary Inertia and Transverse Shear on the Vibration and Stability of the Elastically Connected Timoshenko Beam-System on Elastic Foundation

    Stojanović, Vladimir (et al.)

    Pages 103-114

Buy this book

eBook n/a
  • ISBN 978-3-319-13767-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-3-319-13766-7
  • Free shipping for individuals worldwide
Softcover n/a
  • ISBN 978-3-319-36731-6
  • Free shipping for individuals worldwide
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Vibrations and Stability of Complex Beam Systems
Authors
Series Title
Springer Tracts in Mechanical Engineering
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-13767-4
DOI
10.1007/978-3-319-13767-4
Hardcover ISBN
978-3-319-13766-7
Softcover ISBN
978-3-319-36731-6
Series ISSN
2195-9862
Edition Number
1
Number of Pages
XII, 166
Number of Illustrations
54 b/w illustrations, 19 illustrations in colour
Topics