Three Problems In Nonlinear Dynamics With 2 1 Parametric Excitation

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Three Problems In Nonlinear Dynamics With 2 1 Parametric Excitation
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Author : Tina Marie Morrison
language : en
Publisher:
Release Date : 2006
Three Problems In Nonlinear Dynamics With 2 1 Parametric Excitation written by Tina Marie Morrison and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
Dynamical Systems Approaches To Nonlinear Problems In Systems And Circuits
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Author : Fathi M. Abdel Salam
language : en
Publisher: SIAM
Release Date : 1988-01-01
Dynamical Systems Approaches To Nonlinear Problems In Systems And Circuits written by Fathi M. Abdel Salam and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Science categories.
Nonlinear Problems In Engineering Proceedings Of The Enea Workshops On Nonlinear Dynamics Vol 4
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Author : Costantino Carmignani
language : en
Publisher: World Scientific
Release Date : 1991-10-31
Nonlinear Problems In Engineering Proceedings Of The Enea Workshops On Nonlinear Dynamics Vol 4 written by Costantino Carmignani and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-10-31 with categories.
The papers collected in this volume, presented at the workshop on 'Nonlinear Problems in Engineering', held in ENEA Rome (Italy) from 6 - 7 May 1991, and sponsored by ENEA, report nonlinear problems of prevailing engineering interest. Both nonlinear static and dynamic topics are dealt with; in particular, plastic behavior of materials, elastic-plastic models, fracture mechanics, geophysical prospecting, theory of nonlinear control, mixing models for chemical reactors, nonlinear responses of structures, rotor dynamics, and impact loads on structures.
Symmetry And Perturbation Theory Proceedings Of The International Conference On Spt2004
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Author : Giuseppe Gaeta
language : en
Publisher: World Scientific
Release Date : 2005-01-25
Symmetry And Perturbation Theory Proceedings Of The International Conference On Spt2004 written by Giuseppe Gaeta and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-25 with Science categories.
This proceedings volume is a collection of papers presented at the International Conference on SPT2004 focusing on symmetry, perturbation theory, and integrability.The book provides an updated overview of the recent developments in the various different fields of nonlinear dynamics, covering both theory and applications. Special emphasis is given to algebraic and geometric integrability, solutions to the N-body problem of the “choreography” type, geometry and symmetry of dynamical systems, integrable evolution equations, various different perturbation theories, and bifurcation analysis.The contributors to this volume include some of the leading scientists in the field, among them: I Anderson, D Bambusi, S Benenti, S Bolotin, M Fels, W Y Hsiang, V Matveev, A V Mikhailov, P J Olver, G Pucacco, G Sartori, M A Teixeira, S Terracini, F Verhulst and I Yehorchenko.
Nonlinear Resonances
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Author : Shanmuganathan Rajasekar
language : en
Publisher: Springer
Release Date : 2015-11-30
Nonlinear Resonances written by Shanmuganathan Rajasekar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-30 with Science categories.
This introductory text presents the basic aspects and most important features of various types of resonances and anti-resonances in dynamical systems. In particular, for each resonance, it covers the theoretical concepts, illustrates them with case studies, and reviews the available information on mechanisms, characterization, numerical simulations, experimental realizations, possible quantum analogues, applications and significant advances made over the years. Resonances are one of the most fundamental phenomena exhibited by nonlinear systems and refer to specific realizations of maximum response of a system due to the ability of that system to store and transfer energy received from an external forcing source. Resonances are of particular importance in physical, engineering and biological systems - they can prove to be advantageous in many applications, while leading to instability and even disasters in others. The book is self-contained, providing the details of mathematical derivations and techniques involved in numerical simulations. Though primarily intended for graduate students, it can also be considered a reference book for any researcher interested in the dynamics of resonant phenomena.
Advances In Nonlinear Dynamics Volume Iii
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Author : Walter Lacarbonara
language : en
Publisher: Springer Nature
Release Date : 2024-05-01
Advances In Nonlinear Dynamics Volume Iii written by Walter Lacarbonara and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-01 with Science categories.
This third of three volumes presents papers from the third series of NODYCON to be held in June of 2023. The conference papers reflect a broad coverage of topics in nonlinear dynamics, both traditionally placed in established streams of research as well as they stand as newly explored and emerging venues of research. These include• Multi-scale dynamics: multiple time/space scales, large system dynamics• Experimental dynamics: benchmark experiments, experimental methods,instrumentation techniques, measurements in harsh environments, experimentalvalidation of nonlinear models• Reduced-order modeling: center manifold reduction, nonlinear normal modes, normalforms• Systems with time and/or space delays• Nonlinear interactions in multi-dof systems: parametric vibrations, multiple external andautoparametric resonances.• Computational techniques: efficient algorithms, use ofsymbolic manipulators, integrationof symbolic manipulation and numerical methods, use of parallel processors.• Nonlinear system identification: parametric/nonparametric identification, data-drivenidentification• Multibody dynamics: rigid and flexible multibody system dynamics, impact and contactmechanics, tire modeling, railroad vehicle dynamics, biomechanics applications,computational multibody dynamics• Fluid/structure interaction• Nonlinear wave propagation in discrete and continuous media
Nonlinear Dynamical Systems In Engineering
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Author : Vasile Marinca
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-05
Nonlinear Dynamical Systems In Engineering written by Vasile Marinca and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-05 with Technology & Engineering categories.
This book presents and extend different known methods to solve different types of strong nonlinearities encountered by engineering systems. A better knowledge of the classical methods presented in the first part lead to a better choice of the so-called “base functions”. These are absolutely necessary to obtain the auxiliary functions involved in the optimal approaches which are presented in the second part. Every chapter introduces a distinct approximate method applicable to nonlinear dynamical systems. Each approximate analytical approach is accompanied by representative examples related to nonlinear dynamical systems from to various fields of engineering.
The Shock And Vibration Digest
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Author :
language : en
Publisher:
Release Date : 1993
The Shock And Vibration Digest written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Shock (Mechanics) categories.
Nonlinear Dynamic Phenomena In Mechanics
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Author : Jerzy Warminski
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-23
Nonlinear Dynamic Phenomena In Mechanics written by Jerzy Warminski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-23 with Technology & Engineering categories.
Nonlinear phenomena should play a crucial role in the design and control of engineering systems and structures as they can drastically change the prevailing dynamical responses. This book covers theoretical and applications-based problems of nonlinear dynamics concerned with both discrete and continuous systems of interest in civil and mechanical engineering. They include pendulum-like systems, slender footbridges, shape memory alloys, sagged elastic cables and non-smooth problems. Pendulums can be used as a dynamic absorber mounted in high buildings, bridges or chimneys. Geometrical nonlinearities introduced by pendulum motion may change the system dynamics, and entail a rapid increase of the oscillations of both the structure and the pendulum, leading to full pendulum rotation or chaotic dynamics. To magnetorheological damping is proposed. Nonlinear mechanics has to be used to explain undesired response in slender footbridges, such as that occurred in the famous event of the London Millenium Bridge. The observed phenomena can be explained by an analytical nonlinear discrete-time model. Shape memory alloys (SMAs) exhibit very interesting nonlinear thermo-mechanical properties such as shape memory effect and superelasticity. SMA elements integrated within composite beams or plates can be used for active modification of structure properties e.g. by affecting their natural frequencies. Finite amplitude, resonant, forced dynamics of sagged, horizontal or inclined, elastic cables have recently undergone meaningful research advances concerned with modelling, analysis, response, and nonlinear/nonregular phenomena. A variety of features of nonlinear multimodal interaction in different resonance conditions are comparatively addressed. Non-smooth systems are very common in engineering practice. Three mechanical engineering problems are presented: (i) a vibro-impact system in the form of a moling device, (ii) the influence of the opening and closing of a fatigue crack on the host system dynamics, and (iii) nonlinear interactions between a rotor and snubber ring system. This book is aimed at a wide audience of engineers and researchers working in the field of nonlinear structural vibrations and dynamics, and undergraduate and postgraduate students reading mechanical, aerospace and civil engineering.
Nonlinear Dynamics And Entropy Of Complex Systems With Hidden And Self Excited Attractors
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Author : Christos Volos
language : en
Publisher: MDPI
Release Date : 2019-05-03
Nonlinear Dynamics And Entropy Of Complex Systems With Hidden And Self Excited Attractors written by Christos Volos and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-03 with Technology & Engineering categories.
In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thus, it is important to study entropy in nonlinear systems. Moreover, there has been increasing interest in the last few years regarding the novel classification of nonlinear dynamical systems including two kinds of attractors: self-excited attractors and hidden attractors. The localization of self-excited attractors by applying a standard computational procedure is straightforward. In systems with hidden attractors, however, a specific computational procedure must be developed, since equilibrium points do not help in the localization of hidden attractors. Some examples of this kind of system are chaotic dynamical systems with no equilibrium points; with only stable equilibria, curves of equilibria, and surfaces of equilibria; and with non-hyperbolic equilibria. There is evidence that hidden attractors play a vital role in various fields ranging from phase-locked loops, oscillators, describing convective fluid motion, drilling systems, information theory, cryptography, and multilevel DC/DC converters. This Special Issue is a collection of the latest scientific trends on the advanced topics of dynamics, entropy, fractional order calculus, and applications in complex systems with self-excited attractors and hidden attractors.