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Nonlinear Resonances
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Book Synopsis Nonlinear Resonances by : Shanmuganathan Rajasekar
Download or read book Nonlinear Resonances written by Shanmuganathan Rajasekar and published by Springer. This book was released on 2015-11-30 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Nonlinear Resonances in the Motion of Rolling Reentry Bodies by : Ali Hasan Nayfeh
Download or read book Nonlinear Resonances in the Motion of Rolling Reentry Bodies written by Ali Hasan Nayfeh and published by . This book was released on 1971 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: The method of multiple scales has been used to analyze the motion of rolling reentry bodies under the influence of nonlinear pitch, damping, and Magnus moments. Each of these moments is assumed to be a cubic function of angle of attack.
Book Synopsis Nonlinear Resonance Analysis by : Elena Kartashova
Download or read book Nonlinear Resonance Analysis written by Elena Kartashova and published by Cambridge University Press. This book was released on 2010-10-21 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear resonance analysis is a unique mathematical tool that can be used to study resonances in relation to, but independently of, any single area of application. This is the first book to present the theory of nonlinear resonances as a new scientific field, with its own theory, computational methods, applications and open questions. The book includes several worked examples, mostly taken from fluid dynamics, to explain the concepts discussed. Each chapter demonstrates how nonlinear resonance analysis can be applied to real systems, including large-scale phenomena in the Earth's atmosphere and novel wave turbulent regimes, and explains a range of laboratory experiments. The book also contains a detailed description of the latest computer software in the field. It is suitable for graduate students and researchers in nonlinear science and wave turbulence, along with fluid mechanics and number theory. Colour versions of a selection of the figures are available at www.cambridge.org/9780521763608.
Book Synopsis The Mechanics of Nonlinear Systems with Internal Resonances by : Arkadiy I. Manevich
Download or read book The Mechanics of Nonlinear Systems with Internal Resonances written by Arkadiy I. Manevich and published by World Scientific. This book was released on 2005 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important features of nonlinear systems with several degrees of freedom is the presence of internal resonances at certain relations between natural frequencies of different modes. This monograph is the first book devoted predominantly to internal resonances in different mechanical systems including those of practical importance.The main purpose is to consider the internal resonances from the general point of view and to elucidate their role in applied nonlinear dynamics by using an efficient approach based on introducing the complex representation of equations of motion (together with the multiple scale method). Considered here are autonomous and nonautonomous discrete two-degree-of-freedom systems, infinite chains of particles, and continuous systems, including circular rings and cylindrical shells. Specific attention is paid to the case of one-to-one internal resonance in systems with cubic nonlinearities. Steady-state and nonstationary regimes of motion, interaction of the internal and external resonances at forced oscillations, and bifurcations of steady-state modes and their stability are systematically studied.
Download or read book Proceedings written by and published by . This book was released on 1974 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear and Nonlinear Rotordynamics by : Yukio Ishida
Download or read book Linear and Nonlinear Rotordynamics written by Yukio Ishida and published by John Wiley & Sons. This book was released on 2013-03-05 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: A wide-ranging treatment of fundamental rotordynamics in order to serve engineers with the necessary knowledge to eliminate various vibration problems. New to this edition are three chapters on highly significant topics: Vibration Suppression - The chapter presents various methods and is a helpful guidance for professional engineers. Magnetic Bearings - The chapter provides fundamental knowledge and enables the reader to realize simple magnetic bearings in the laboratory. Some Practical Rotor Systems - The chapter explains various vibration characteristics of steam turbines and wind turbines. The contents of other chapters on Balancing, Vibrations due to Mechanical Elements, and Cracked Rotors are added to and revised extensively. The authors provide a classification of rotating shaft systems and general coverage of key ideas common to all branches of rotordynamics. They offers a unique analysis of dynamical problems, such as nonlinear rotordynamics, self-excited vibration, nonstationary vibration, and flow-induced oscillations. Nonlinear resonances are discussed in detail, as well as methods for shaft stability and various theoretical derivations and computational methods for analyzing rotors to determine and correct vibrations. This edition also includes case studies and problems.
Book Synopsis Beam-based Correction and Optimization for Accelerators by : Xiaobiao Huang
Download or read book Beam-based Correction and Optimization for Accelerators written by Xiaobiao Huang and published by CRC Press. This book was released on 2019-12-05 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides systematic coverage of the beam-based techniques that accelerator physicists use to improve the performance of large particle accelerators, including synchrotrons and linacs. It begins by discussing the basic principles of accelerators, before exploring the various error sources in accelerators and their impact on the machine's performances. The book then demonstrates the latest developments of beam-based correction techniques that can be used to address such errors and covers the new and expanding area of beam-based optimization. This book is an ideal, accessible reference book for physicists working on accelerator design and operation, and for postgraduate studying accelerator physics. Features: Entirely self-contained, exploring the theoretic background, including algorithm descriptions, and providing application guidance Accompanied by source codes of the main algorithms and sample codes online Uses real-life accelerator problems to illustrate principles, enabling readers to apply techniques to their own problems Xiaobiao Huang is an accelerator physicist at the SLAC National Accelerator Laboratory at Stanford University, USA. He graduated from Tsinghua University with a Bachelor of Science in Physics and a Bachelor of Engineering in Computer Science in 1999. He earned a PhD in Accelerator Physics from Indiana University, Bloomington, Indiana, USA, in 2005. He spent three years on thesis research work at Fermi National Accelerator Laboratory from 2003-2005. He has worked at SLAC as a staff scientist since 2006. He became Accelerator Physics Group Leader of the SPEAR3 Division, Accelerator Directorate in 2015. His research work in accelerator physics ranges from beam dynamics, accelerator design, and accelerator modelling and simulation to beam based measurements, accelerator control, and accelerator optimization. He has taught several courses at US Particle Accelerator School (USPAS), including Beam Based Diagnostics, Accelerator Physics, Advanced Accelerator Physics, and Special Topics in Accelerator Physics.
Book Synopsis Practical Aspects of Trapped Ion Mass Spectrometry, Volume IV by : Raymond E. March
Download or read book Practical Aspects of Trapped Ion Mass Spectrometry, Volume IV written by Raymond E. March and published by CRC Press. This book was released on 2010-05-25 with total page 952 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reflecting the substantial increase in popularity of quadrupole ion traps and Fourier transform ion cyclotron resonance (FT-ICR) mass spectrometers, Practical Aspects of Trapped Ion Mass Spectrometry, Volume IV: Theory and Instrumentation explores the historical origins of the latest advances in this expanding field. It covers new methods for trapp
Book Synopsis An Unstable Arch Model of a Solar Flare by : D. S. Spicer
Download or read book An Unstable Arch Model of a Solar Flare written by D. S. Spicer and published by . This book was released on 1976 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Normal Modes and Localization in Nonlinear Systems by : Alexander F. Vakakis
Download or read book Normal Modes and Localization in Nonlinear Systems written by Alexander F. Vakakis and published by John Wiley & Sons. This book was released on 2008-07-11 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This landmark book deals with nonlinear normal modes (NNMs) and nonlinear mode localization. Offers an analysis which enables the study of various nonlinear phenomena having no counterpart in linear theory. On a more theoretical level, the concept of NNMs will be shown to provide an excellent framework for understanding a variety of distinctively nonlinear phenomena such as mode bifurcations and standing or traveling solitary waves.
Book Synopsis Hagenberg Research by : Bruno Buchberger
Download or read book Hagenberg Research written by Bruno Buchberger and published by Springer Science & Business Media. This book was released on 2009-05-29 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: BrunoBuchberger This book is a synopsis of basic and applied research done at the various re search institutions of the Softwarepark Hagenberg in Austria. Starting with 15 coworkers in my Research Institute for Symbolic Computation (RISC), I initiated the Softwarepark Hagenberg in 1987 on request of the Upper Aus trian Government with the objective of creating a scienti?c, technological, and economic impulse for the region and the international community. In the meantime, in a joint e?ort, the Softwarepark Hagenberg has grown to the current (2009) size of over 1000 R&D employees and 1300 students in six research institutions, 40 companies and 20 academic study programs on the bachelor, master’s and PhD level. The goal of the Softwarepark Hagenberg is innovation of economy in one of the most important current technologies: software. It is the message of this book that this can only be achieved and guaranteed long term by “watering the root”, namely emphasis on research, both basic and applied. In this book, we summarize what has been achieved in terms of research in the various research institutions in the Softwarepark Hagenberg and what research vision we have for the imminent future. When I founded the Softwarepark Hagenberg, in addition to the “watering the root” principle, I had the vision that such a technology park can only prosper if we realize the “magic triangle”, i.e. the close interaction of research, academic education, and business applications at one site, see Figure 1.
Book Synopsis Practical Aspects of Ion Trap Mass Spectrometry by : Raymond E. March
Download or read book Practical Aspects of Ion Trap Mass Spectrometry written by Raymond E. March and published by CRC Press. This book was released on 1995-09-18 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Ion Trap Mass Spectrometry presents an account of the development and theory of the quadrupole ion trap and its utilization as an ion storage device, a reactor for ion/molecular reactions, and a mass spectrometer. It also expands the appreciation of ion traps from that of a unique arrangement of electrodes of hyperbolic form (and having a pure quadrupole field) to a series of ion traps having fields with hexapole and octopole components and introduces the practical ion trapping device in which electrode spacing has been increased. The fundamentals of ion trap are covered in four chapters, beginning with the origin of the ion trap, its development and operating principles, and improvements in performance. The second part focuses on the environment within the ion trap -- the movement of ions within the trap -- and how this movement is modified by repeated collisions of the ions with buffer gas atoms of helium, and on the collisions of ions with molecules that lead to chemical change. The critical role of collisions in focusing the ion cloud for subsequent operations is emphasized. This important reference presents a coherent picture of the present status of research in the ion trapping field to facilitate the entree of potential ion trappers and provide a backdrop for ion trap research and development in the future.
Book Synopsis Practical Aspects of Ion Trap Mass Spectrometry, Volume I by : Raymond E. March
Download or read book Practical Aspects of Ion Trap Mass Spectrometry, Volume I written by Raymond E. March and published by CRC Press. This book was released on 2024-11-01 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Ion Trap Mass Spectrometry presents an account of the development and theory of the quadrupole ion trap and its utilization as an ion storage device, a reactor for ion/molecular reactions, and a mass spectrometer. It also expands the appreciation of ion traps from that of a unique arrangement of electrodes of hyperbolic form (and having a pure quadrupole field) to a series of ion traps having fields with hexapole and octopole components and introduces the practical ion trapping device in which electrode spacing has been increased. The fundamentals of ion trap are covered in four chapters, beginning with the origin of the ion trap, its development and operating principles, and improvements in performance. The second part focuses on the environment within the ion trap -- the movement of ions within the trap -- and how this movement is modified by repeated collisions of the ions with buffer gas atoms of helium, and on the collisions of ions with molecules that lead to chemical change. The critical role of collisions in focusing the ion cloud for subsequent operations is emphasized. This important reference presents a coherent picture of the present status of research in the ion trapping field to facilitate the entree of potential ion trappers and provide a backdrop for ion trap research and development in the future.
Book Synopsis Stability of Gyroscopic Systems by : Ardshir Guran
Download or read book Stability of Gyroscopic Systems written by Ardshir Guran and published by World Scientific. This book was released on 1999 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The motion of mechanical systems undergoing rotation about a fixed axis has been the subject of extensive studies over a few centuries. These systems are generally subject to gyroscopic forces which are associated with coriolis accelerations or mass transport and render complex dynamics.The unifying theme among topics presented in this book is the gyroscopic nature of the system equations of motion. The book represents comprehensive and detailed reviews of the state of art in four diverse application areas: flow-induced oscillations in structures, oscillations in rotating systems or rotor dynamics, dynamics of axially moving material systems, and dynamics of gyroelastic systems. The book also includes a chapter on dynamics of repetitive structures. These systems feature spatial periodicity and are generally subject to considerable gyroscopic forces. ?Gyroelastic systems? and ?repetitive structures? are the topics with very recent origins and are still in their infancies compared to the other examples represented in this book. Thus, the contributions on gyroelastic systems and repetitive structures are limited to only modeling, localization and linear stability analysis results.This book covers many important aspects of recent developments in various types of gyroscopic systems. Thus, at last, a comprehensive book is made available to serve as a supplement and resource for any graduate level course on elastic gyroscopic systems, as well as for a course covering the stability of mechanical systems. Moreover, the inclusion of an up-to-date bibliography attached to each chapter will make this book an invaluable text for professional reference.
Download or read book Accelerator Physics written by S Y Lee and published by World Scientific Publishing Company. This book was released on 2011-11-16 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research and development of high energy accelerators began in 1911. Since then, milestones achieved are: (1) development of high gradient dc and rf accelerators,(2) achievement of high field magnets with excellent field quality,(3) discovery of transverse and longitudinal beam focusing principles,(4) invention of high power rf sources,(5) improvement of ultra-high vacuum technology,(6) attainment of high brightness (polarized/unpolarized) electron/ionsources,(7) advancement of beam dynamics and beam manipulation schemes, such as beam injection, accumulation, slow and fast extraction, beam damping and beam cooling, instability feedback, laser-beam interaction and harvesting instability for high brilliance coherent photon source. The impacts of the accelerator development are evidenced by the many ground-breaking discoveries in particle and nuclear physics, atomic and molecular physics, condensed matter physics, biology, biomedical physics, nuclear medicine, medical therapy, and industrial processing. This book is intended to be used as a graduate or senior undergraduate textbook in accelerator physics and science. It can be used as preparatory course material in graduate accelerator physics thesis research. The text covers historical accelerator development, transverse betatron motion, synchrotron motion, an introduction to linear accelerators, and synchrotron radiation phenomena in low emittance electron storage rings, introduction to special topics such as the free electron laser and the beam-beam interaction. Attention is paid to derivation of the action-angle variables of the phase space, because the transformation is important for understanding advanced topics such as the collective instability and nonlinear beam dynamics. Each section is followed by exercises, which are designed to reinforce concepts and to solve realistic accelerator design problems. Contents:Introduction:Historical DevelopmentsLayout and Components of AcceleratorsAccelerator ApplicationsTransverse Motion:Hamiltonian for Particle Motion in AcceleratorsLinear Betatron MotionEffect of Linear Magnet ImperfectionsOff-Momentum OrbitChromatic AberrationLinear CouplingNonlinear ResonancesCollective Instability and Landau DampingSynchro-Betatron HamiltonianSynchrotron Motion:Longitudinal Equation of MotionAdiabatic Synchrotron MotionRF Phase and Voltage ModulationsNonadiabatic and Nonlinear Synchrotron MotionBeam Manipulation in Synchrotron Phase SpaceFundamentals of RF SystemsLongitudinal Collective InstabilitiesIntroduction to Linear AcceleratorsPhysics of Electron Storage Rings:Fields of a Moving Charged ParticleRadiation Damping and ExcitationEmittance in Electron Storage RingsSpecial Topics in Beam Physics:Free Electron Laser (FEL)Beam-Beam InteractionClassical Mechanics and Analysis:Hamiltonian DynamicsStochastic Beam DynamicsModel Independent AnalysisNumerical Methods and Physical Constants:Fourier TransformCauchy Theorem and the Dispersion RelationUseful Handy FormulasMaxwell's EquationsPhysical Properties and Constants Readership: Accelerator, high-energy, nuclear, plasma and applied physicists.
Book Synopsis Accelerator Physics (Fourth Edition) by : Shyh-yuan Lee
Download or read book Accelerator Physics (Fourth Edition) written by Shyh-yuan Lee and published by World Scientific Publishing. This book was released on 2018-11-15 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research and development of high energy accelerators began in 1911. Since then, progresses achieved are:The impacts of the accelerator development are evidenced by the many ground-breaking discoveries in particle and nuclear physics, atomic and molecular physics, condensed matter physics, biology, biomedical physics, nuclear medicine, medical therapy, and industrial processing. This book is intended to be used as a graduate or senior undergraduate textbook in accelerator physics and science. It can be used as preparatory course material in graduate accelerator physics thesis research. The text covers historical accelerator development, transverse betatron motion, synchrotron motion, an introduction to linear accelerators, and synchrotron radiation phenomena in low emittance electron storage rings, introduction to special topics such as the free electron laser and the beam-beam interaction. Hamiltonian dynamics is used to understand beam manipulation, instability and nonlinearity. Each section is followed by exercises, which are designed to reinforce the concept discussed and to solve a realistic accelerator design problem.
Book Synopsis Advances in Laser Chemistry by : A. H. Zewail
Download or read book Advances in Laser Chemistry written by A. H. Zewail and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: The laser as a radiation source with temporal and spatial coherence has made a tremendous impact in the different fields of science. As a result, new and exciting research has been developing allover the world. Laser spectro scopy shares a large fraction of this research, and in the last decade nu merous books and monographs have been published on this subject. Most of these books and monographs contain the work done in the physics community. Very few books represent the advances made in laser chemistry, a field that is flourishing and whose future is indeed very exciting. It was felt that a meeting that focused on the important questions being asked in the chemistry community, and on new and possible directions in laser chemistry, was needed. This three-day conference, held at the California Institute of Technology, Pasadena, California, on March 20-22, 1978, covered five important areas in laser chemistry: Laser-induced chemistry, picosecond processes and techniques, nonlinear optical spectroscopy and dephasing processes, multiphoton exci tation in molecules, and molecular dynamics by molecular beams.