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
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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
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