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1 Awrejcewicz, Jan Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members I09494 2020 eBook  
2 Awrejcewicz, Jan Chaos in Structural Mechanics I07474 2008 eBook  
3 Awrejcewicz, Jan Asymptotic Approaches in Nonlinear Dynamics I00868 1998 eBook  
4 Awrejcewicz, Jan Bifurcation and Chaos I00269 1995 eBook  
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TitleElastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members : Applications of the Bubnov-Galerkin and Finite Difference Methods
Author(s)Awrejcewicz, Jan;Krysko, Vadim A
PublicationCham, Springer International Publishing, 2020.
DescriptionXX, 602 p. 333 illus., 260 illus. in color : online resource
Abstract NoteAdding seven new chapters integrating modern approaches to dynamical systems theory, this revised second edition describes numerical approaches to the nonlinear theory of beams, plates and shells, with an emphasis to the elastic and thermoelastic features. The added chapters discuss in particular how to understand, model, and obtain reliable results while detecting and analysing chaotic dynamics exhibited by thin structural members. The authors attempt to address the large impact of new directions of nonlinear dynamical phenomena in the context of the overall state-of-the art presented in the first book edition. They also present new perspectives of the unsolved problems of thin structural members. The authors made every effort to keep the text intelligible for both practitioners and graduate students, although they offer a rigorous treatment of both purely mathematical and numerical approaches presented so that the reader can understand, analyse and track the nonlinear dynamics of spatial systems (shells) with thermomechanical behaviours.
ISBN,Price9783030376635
Keyword(s)1. Computational Science and Engineering 2. Computer mathematics 3. DYNAMICAL SYSTEMS 4. DYNAMICS 5. EBOOK 6. EBOOK - SPRINGER 7. Numerical and Computational Physics, Simulation 8. PHYSICS 9. VIBRATION 10. Vibration, Dynamical Systems, Control
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2.     
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TitleChaos in Structural Mechanics
Author(s)Awrejcewicz, Jan;Krys'ko, Vadim Anatolevich
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2008.
DescriptionXIII, 424 p. 195 illus : online resource
Abstract NoteThis 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
ISBN,Price9783540776765
Keyword(s)1. APPLIED MATHEMATICS 2. COMPLEX SYSTEMS 3. DYNAMICAL SYSTEMS 4. DYNAMICS 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. Mathematical and Computational Engineering 9. STATISTICAL PHYSICS 10. Statistical Physics and Dynamical Systems 11. SYSTEM THEORY 12. Systems Theory, Control 13. VIBRATION 14. Vibration, Dynamical Systems, Control
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TitleAsymptotic Approaches in Nonlinear Dynamics : New Trends and Applications
Author(s)Awrejcewicz, Jan;Andrianov, Igor V;Manevitch, Leonid I
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1998.
DescriptionXI, 310 p : online resource
Abstract NoteHow well is Nature simulated by the varied asymptotic models that imaginative scientists have invented? B. Birkhoff [52J This book deals with asymptotic methods in nonlinear dynamics. For the first time a detailed and systematic treatment of new asymptotic methods in combination with the Pade approximant method is presented. Most of the basic results included in this manuscript have not been treated but just mentioned in the literature. Providing a state-of-the-art review of asymptotic applications, this book will prove useful as an introduction to the field for novices as well a reference for specialists. Asymptotic methods of solving mechanical and physical problems have been developed by many authors. For example, we can refer to the excel?? lent courses by A. Nayfeh [119-122]' M. Van Dyke [154], E.J. Hinch [94J and many others [59, 66, 95, 109, 126, 155, 163, 50d, 59dJ. The main features of the monograph presented are: 1) it is devoted to the basic principles of asymp?? totics and its applications, and 2) it deals with both traditional approaches (such as regular and singular perturbations, averaging and homogenization, perturbations of the domain and boundary shape) and less widely used, new approaches such as one- and two-point Pade approximants, the distributional approach, and the method of boundary perturbations
ISBN,Price9783642720796
Keyword(s)1. APPLIED MATHEMATICS 2. CLASSICAL MECHANICS 3. COMPLEX SYSTEMS 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. Mathematical and Computational Engineering 9. Mathematical Methods in Physics 10. MECHANICS 11. Mechanics, Applied 12. Numerical and Computational Physics, Simulation 13. PHYSICS 14. STATISTICAL PHYSICS 15. Theoretical and Applied Mechanics
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I00868     On Shelf    

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TitleBifurcation and Chaos : Theory and Applications
Author(s)Awrejcewicz, Jan
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1995.
DescriptionXII, 272 p : online resource
Abstract NoteBifurcation and Chaos presents a collection of especially written articles describing the theory and application of nonlinear dynamics to a wide variety of problems encountered in physics and engineering. Each chapter is self-contained and includes an elementary introduction, an exposition of the present state of the art, and details of recent theoretical, computational and experimental results. Included among the practical systems analysed are: hysteretic circuits, Josephson circuits, magnetic systems, railway dynamics, rotor dynamics and nonlinear dynamics of speech. This book contains important information and ideas for all mathematicians, physicists and engineers whose work in R&D or academia involves the practical consequence of chaotic dynamics
ISBN,Price9783642793295
Keyword(s)1. Chemometrics 2. COMPLEX SYSTEMS 3. Computational Intelligence 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING 8. Engineering, general 9. Math. Applications in Chemistry 10. Mathematical Methods in Physics 11. Numerical and Computational Physics, Simulation 12. PHYSICS 13. STATISTICAL PHYSICS
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I00269     On Shelf    

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