Chaos in Structural Mechanics

Chaos in Structural Mechanics
Title Chaos in Structural Mechanics PDF eBook
Author Jan Awrejcewicz
Publisher Springer Science & Business Media
Pages 424
Release 2009-11-11
Genre Technology & Engineering
ISBN 3540776761

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This volume introduces new approaches to modeling strongly nonlinear behaviour of structural mechanical units: beams, plates and shells or composite systems. The text draws on bifurcation theory and chaos, emphasizing control and stability of objects and systems.

Galloping Instability to Chaos of Cables

Galloping Instability to Chaos of Cables
Title Galloping Instability to Chaos of Cables PDF eBook
Author Albert C. J. Luo
Publisher Springer
Pages 213
Release 2018-01-16
Genre Technology & Engineering
ISBN 9811052425

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This book provides students and researchers with a systematic solution for fluid-induced structural vibrations, galloping instability and the chaos of cables. They will also gain a better understanding of stable and unstable periodic motions and chaos in fluid-induced structural vibrations. Further, the results presented here will help engineers effectively design and analyze fluid-induced vibrations.

Chaos and Fractals in Engineering

Chaos and Fractals in Engineering
Title Chaos and Fractals in Engineering PDF eBook
Author Masao Nakagawa
Publisher World Scientific
Pages 960
Release 1999
Genre Mathematics
ISBN 9789810238339

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This book is written for all engineers, graduate students and beginners working in the application fields, and for experimental scientists in general. It is not presented as a purely theoretical treatise but shows mathematics at a workshop, so to speak, through important applications originating in a deep pure mathematical theory. Widely spread subjects which the author has encountered hitherto are briefly addressed in the book, as chaos and fractal science is a frontier of new research fields nowadays.

Nonlinear Dynamics and Chaos

Nonlinear Dynamics and Chaos
Title Nonlinear Dynamics and Chaos PDF eBook
Author Steven H. Strogatz
Publisher CRC Press
Pages 532
Release 2018-05-04
Genre Mathematics
ISBN 0429961111

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This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Applied Mechanics Reviews

Applied Mechanics Reviews
Title Applied Mechanics Reviews PDF eBook
Author
Publisher
Pages 1052
Release 1985
Genre Mechanics, Applied
ISBN

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Stress, Stability, and Chaos in Structural Engineering

Stress, Stability, and Chaos in Structural Engineering
Title Stress, Stability, and Chaos in Structural Engineering PDF eBook
Author Mohammed S. El Naschie
Publisher
Pages 721
Release 1992
Genre Chaotic behavior in systems
ISBN 9780071126038

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Chaotic Motions in Nonlinear Dynamical Systems

Chaotic Motions in Nonlinear Dynamical Systems
Title Chaotic Motions in Nonlinear Dynamical Systems PDF eBook
Author Wanda Szemplinska-Stupnicka
Publisher Springer
Pages 198
Release 2014-05-04
Genre Technology & Engineering
ISBN 3709125960

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Discoveries of chaotic, unpredictable behaviour in physical deterministic systems has brought about new analytic and experimental techniques in dynamics. The modern study of the new phenomena requires the analyst to become familiar with experiments (at least with numerical ones), since chaotic solutions cannot be written down, and it requires the experimenter to master the new concepts of the theory of nonlinear dynamical systems. This book is unique in that it presents both viewpoints: the viewpoint of the analyst and of the experimenter. In the first part F. Moon outlines the new experimental techniques which have emerged from the study of chaotic vibrations. These include Poincaré sections, fractial dimensions and Lapunov exponents. In the text by W. Szemplinska-Stupnicka the relation between the new chaotic phenomena and classical perturbation techniques is explored for the first time. In the third part G. Iooss presents methods of analysis for the calculations of bifurcations in nonlinear systems based on modern geometric mathematical concepts.