Chaos in Structural Mechanics (Understanding Complex Systems) - Softcover

Awrejcewicz, Jan; Krys'ko, Vadim Anatolevich

Softcover

ISBN 10: 364209645X ISBN 13: 9783642096457

Verlag: Springer, 2010

Inhaltsangabe

This monograph is devoted to construction of novel theoretical approaches of m- eling non-homogeneous structural members as well as to development of new and economically ef?cient (simultaneously keeping the required high engineering ac- racy)computationalalgorithmsofnonlineardynamics(statics)ofstronglynonlinear behavior of either purely continuous mechanical objects (beams, plates, shells) or hybrid continuous/lumped interacting mechanical systems. In general, the results presented in this monograph cannot be found in the - isting literature even with the published papers of the authors and their coauthors. We take a challenging and originally developed approach based on the integrated mathematical numerical treatment of various continuous and lumped/continuous mechanical structural members, putting emphasis on mathematical and physical modeling as well as on the carefully prepared and applied novel numerical - gorithms used to solve the derived nonlinear partial differential equations (PDEs) mainly via Bubnov-Galerkin type approaches. The presented material draws on the ?elds of bifurcation, chaos, control, and s- bility of the objects governed by strongly nonlinear PDEs and ordinary differential equations (ODEs),and may have a positive impact on interdisciplinary ?elds of n- linear mechanics, physics, and applied mathematics. We show, for the ?rst time in a book, the complexity and fascinating nonlinear behavior of continual mechanical objects, which cannot be found in widely reported bifurcational and chaotic dyn- ics of lumped mechanical systems, i. e. , those governed by nonlinear ODEs.

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Über die Autorin bzw. den Autor

Anton Krysko (A.V. Krysko) obtained his Ph.D. degree in Mechanics of Solids from the Department of Strength of Materials, Saratov State Technical University in 1995, D.Sci. degree in Mechanics of Solids 2003 and a habilitation from Saratov State Technical University in 2008. He has worked as a professor at the Department of Applied Mathematics and Theory Navigation Device as well as Head of the Department of Higher Mathematics and Mechanics. Currently he is a professor at the Department of Applied Mathematics and System Analysis. His research interests cover advanced numerical methods for MEMS / NEMS sensors, EEG signal processing, nonlinear dynamics and chaotic vibrations continues mechanical systems as well as nano-structures, thermoelasticity and thermoplasticity, the theory of optimization of mechanical systems. For his scientific merits, he received prestigious national awards and distinctions, among them the Diploma of the Ministry of Education and Science of the Russian Federation for the great and fruitful work on the preparation of the teaching staff; development of scientific research on topical issues of fundamental and applied science, 2011, Moscow, Russia

Vadim Krysko (V. A. Krysko) obtained his Ph.D. degree in Mechanics of Solids from the Department of Structural mechanics Saratov State Technical University, USSR in 1967, and D.Sci. degree in Mechanics of Solids from Moscow State University of Civil Engineering in 1978. In 1982 he became a full professor, the academic rank of professor obtained from the Department of Higher Mathematics, Saratov State Technical University. In 2008 he founded the Department of Mathematics and Modeling, that he still manages. His research interest are on thermoelasticity and thermoplasticity, the theory of optimization of mechanical systems, the theory of propagation of elastic waves upon impact, the theory of coupled problems of thermoelasticity and the interaction of flexible elastic shellswith a transonic gas flow, numerical methods for solving nonlinear problems of shells theory, nonlinear dynamics and chaos in MEMS / NEMS resonators, nonlinear dynamics of nano structures as well as signal processing for brain-computer interfaces (BCI) and EEG signal processing. For his scientific achievements, he received prestigious awards and distinctions, including the title of Honored Personality of science and technology of the Russian Federation for special merits in the field of science and technology (1987), and titles of Doctor Honoris Causa of the Lodz University of Technology, Poland (2012). Vadim Krysko opened and developed novel scientific directions for research in the construction, justification and numerical implementation of new classes of equations of mathematical physics of hyperbolic-parabolic types and proposed effective methods for their numerical solution.

Jan Awrejcewicz obtained his PhD in technical sciences and a postdoctoral degree (habilitation) at the Mechanical Faculty of the Lodz University of Technology. In 1994, he received the title of Professor from the President of Poland. In 1998 he founded the Department of Automation, Biomechanics and Mechatronics, that he is still managing. Since 2013 he has been a member of the Polish Central Commission for Degrees and Titles, and since 2019 also of the Council for Scientific Excellence. His scientific achievements cover asymptotic methods for continuous and discrete mechanical systems considering thermoelasticity and tribology, and computer implementations using symbolic calculus, nonlinear dynamics of mechanical systems with friction and impacts, as well as engineering biomechanics. For his scientific merits he received numerous prestigious awards and distinctions, among them the Humboldt Award (twice) and titles of the Honorary Doctor of Cz¿stochowa University of Technology (2013), University of Technology and Humanities in Bielsko-Biäa (2013),Kielce

Von der hinteren Coverseite

This volume introduces and reviews novel theoretical approaches to modeling strongly nonlinear behaviour of either individual or interacting structural mechanical units such as beams, plates and shells or composite systems thereof.

The approach draws upon the well-established fields of bifurcation theory and chaos and emphasizes the notion of control and stability of objects and systems the evolution of which is governed by nonlinear ordinary and partial differential equations. Computational methods, in particular the Bubnov-Galerkin method, are thus described in detail.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 364209645X
• ISBN 13: 9783642096457
• Einband: Taschenbuch
• Anzahl der Seiten: 437
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland