Vibrations and Stability of Complex Beam Systems

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...

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Những tác giả chính:	Stojanović, Vladimir, Kozic, Predrag
Định dạng:	Sách
Ngôn ngữ:	English
Được phát hành:	Springer 2015
Những chủ đề:	Engineering Technology Mathematical models Vibration
Truy cập trực tuyến:	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57741
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spelling	oai:scholar.dlu.edu.vn:DLU123456789-577412023-11-11T05:51:07Z Vibrations and Stability of Complex Beam Systems Stojanović, Vladimir Kozic, Predrag Engineering Engineering Technology Mathematical models Vibration 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. 2015-08-24T07:15:09Z 2015-08-24T07:15:09Z 2015 Book 978-3-319-13767-4 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57741 en application/pdf Springer
institution	Thư viện Trường Đại học Đà Lạt
collection	Thư viện số
language	English
topic	Engineering Engineering Technology Mathematical models Vibration
spellingShingle	Engineering Engineering Technology Mathematical models Vibration Stojanović, Vladimir Kozic, Predrag Vibrations and Stability of Complex Beam Systems
description	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.
format	Book
author	Stojanović, Vladimir Kozic, Predrag
author_facet	Stojanović, Vladimir Kozic, Predrag
author_sort	Stojanović, Vladimir
title	Vibrations and Stability of Complex Beam Systems
title_short	Vibrations and Stability of Complex Beam Systems
title_full	Vibrations and Stability of Complex Beam Systems
title_fullStr	Vibrations and Stability of Complex Beam Systems
title_full_unstemmed	Vibrations and Stability of Complex Beam Systems
title_sort	vibrations and stability of complex beam systems
publisher	Springer
publishDate	2015
url	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57741
_version_	1819779054165819392

Vibrations and Stability of Complex Beam Systems

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