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Book Cover
E-book
Author Stojanović, Vladimir, author

Title Vibrations and stability of complex beam systems / Vladimir Stojanović, Predrag Kozić
Published Cham : Springer, 2015
©2015

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Description 1 online resource (xii, 166 pages) : illustrations (some color)
Series Springer tracts in mechanical engineering, 2195-9862
Springer tracts in mechanical engineering.
Contents Introductory remarks -- Free vibrations and stability of an elastically connected double-beam system -- Effects of axial compression forces, rotary inertia and shear on forced vibrations of the system of two elastically connected beams -- Static and stochastic stability of an elastically connected beam system on an elastic foundation -- The effects of rotary inertia and transverse shear on the vibration and stability of the elastically connected Timoshenko beam-system on elastic foundation -- The effects of rotary inertia and transverse shear on vibration and stability of the system of elastically connected Reddy-Bickford beams on elastic foundation -- Geometrically non-linear vibration of Timoshenko damaged beams using the new p?version of finite element method
Summary 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
Analysis bouwconstructie
building construction
engineering
computerwiskunde
computational mathematics
numerieke wiskunde
numerical mathematics
vibratie
vibration
Engineering (General)
Techniek (algemeen)
Bibliography Includes bibliographical references
Notes Online resource; title from PDF title page (SpringerLink, viewed February 11, 2015)
Subject Vibration.
Vibration -- Mathematical models
Vibration
vibration (physical)
TECHNOLOGY & ENGINEERING -- Engineering (General)
TECHNOLOGY & ENGINEERING -- Reference.
Vibration
Vibration -- Mathematical models
Form Electronic book
Author Kozić, Predrag, author
ISBN 9783319137674
3319137670
3319137662
9783319137667