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Fractional Vibrations With Applications To Euler Bernoulli Beams
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Book Synopsis Fractional Vibrations with Applications to Euler-Bernoulli Beams by : Ming Li
Download or read book Fractional Vibrations with Applications to Euler-Bernoulli Beams written by Ming Li and published by CRC Press. This book was released on 2023-12-29 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces a new convolution representation of a fractional derivative and the classification of fractional vibrations Proposes equivalent motion equations of six classes of fractional vibrators Establishes a mathematical explanation of the Rayleigh damping assumption Sets up a method for the record length requirement of ocean surface waves Proposes an optimal controller of irregular wave maker
Book Synopsis Fractional Vibrations with Applications to Euler-Bernoulli Beams by : Ming Li
Download or read book Fractional Vibrations with Applications to Euler-Bernoulli Beams written by Ming Li and published by CRC Press. This book was released on 2024-01-15 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book examines vibration phenomena with an emphasis on fractional vibrations using the functional form of linear vibrations with frequency-dependent mass, damping, or stiffness, covering the theoretical analysis potentially applicable to structures and, in particular, ship hulls. Covering the six classes of fractional vibrators and seven classes of fractionally damped Euler-Bernoulli beams that play a major role in hull vibrations, this book presents analytical formulas of all results with concise expressions and elementary functions that set it apart from other recondite studies. The results show that equivalent mass or damping can be negative and depends on fractional orders. Other key highlights of the book include a concise mathematical explanation of the Rayleigh damping assumption, a novel description of the nonlinearity of fractional vibrations, and a new concept of fractional motion, offering exciting additions to the field of fractional vibrations. This title will be a must-read for students, mathematicians, physicists, and engineers interested in vibration phenomena and novel vibration performances, especially fractional vibrations.
Book Synopsis Theory of Fractional Engineering Vibrations by : Ming Li
Download or read book Theory of Fractional Engineering Vibrations written by Ming Li and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-03-08 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vibration is important subject in many fields, ranging from mechanical engineering to electronic one. This book aims at giving a combination of conventional linear vibrations with recent fractional ones from a view of engineering. It consists of two parts. One is for conventional linear vibrations in Chapters 1 - 6 based on the authors lectures on the course of ship hull vibrations for undergraduates and postgraduates in Ocean College, Zhejiang University, China. The other, Chapters 7 - 15, contains his research in fractional vibrations. the book is suitable for researchers and graduate students in science and engieering. Preferred preliminaries are calculus, university physics, theoretic mechanics, and material mechanics for readers.
Book Synopsis Applications in Engineering, Life and Social Sciences by : Dumitru Bǎleanu
Download or read book Applications in Engineering, Life and Social Sciences written by Dumitru Bǎleanu and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-04-01 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This seventh volume collects authoritative chapters covering several applications of fractional calculus in in engineering, life, and social sciences, including applications in biology and medicine, mechanics of complex media, economy, and electrical devices.
Book Synopsis Nanomechanics of Structures and Materials by : Krzysztof Kamil Żur
Download or read book Nanomechanics of Structures and Materials written by Krzysztof Kamil Żur and published by Elsevier. This book was released on 2024-08-01 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nanomechanics of Structures and Materials highlights and compares the advantages and disadvantages of diverse modeling and analysis techniques across a wide spectrum of different nanostructures and nanomaterials. It focuses on the behavior of media with nanostructural features where the classic continuum theory ceases to hold and augmented continuum theories such as nonlocal theory, gradient theory of elasticity, and the surface elasticity model should be adopted. These generalized frameworks, tailored to address the intricate characteristics inherent at the nanoscale level, are discussed in depth, and their application to a variety of different materials and structures, including graphene, shells, arches, nanobeams, carbon nanotubes, porous materials, and more, is covered. Key Features Outlines the advantages and limitations of size-dependent continuum theories and modeling techniques when studying fundamental problems in the nanomechanics of structures and materials Discusses various analytical and numerical tools for identifying nanomechanical defects in structures Explores a diverse array of structures and materials, including graphene, shells, arches, nanobeams, carbon nanotubes, and porous materials
Book Synopsis Recent Trends in Wave Mechanics and Vibrations by : S. Chakraverty
Download or read book Recent Trends in Wave Mechanics and Vibrations written by S. Chakraverty and published by Springer Nature. This book was released on 2019-11-12 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of select proceedings of the National Conference on Wave Mechanics and Vibrations (WMVC 2018). It covers recent developments and cutting-edge methods in wave mechanics and vibrations applied to a wide range of engineering problems. The book presents analytical and computational studies in structural mechanics, seismology and earthquake engineering, mechanical engineering, aeronautics, robotics and nuclear engineering among others. This book can be useful for students, researchers, and professionals interested in the wide-ranging applications of wave mechanics and vibrations.
Book Synopsis Mathematical Methods in Interdisciplinary Sciences by : Snehashish Chakraverty
Download or read book Mathematical Methods in Interdisciplinary Sciences written by Snehashish Chakraverty and published by John Wiley & Sons. This book was released on 2020-06-15 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brings mathematics to bear on your real-world, scientific problems Mathematical Methods in Interdisciplinary Sciences provides a practical and usable framework for bringing a mathematical approach to modelling real-life scientific and technological problems. The collection of chapters Dr. Snehashish Chakraverty has provided describe in detail how to bring mathematics, statistics, and computational methods to the fore to solve even the most stubborn problems involving the intersection of multiple fields of study. Graduate students, postgraduate students, researchers, and professors will all benefit significantly from the author's clear approach to applied mathematics. The book covers a wide range of interdisciplinary topics in which mathematics can be brought to bear on challenging problems requiring creative solutions. Subjects include: Structural static and vibration problems Heat conduction and diffusion problems Fluid dynamics problems The book also covers topics as diverse as soft computing and machine intelligence. It concludes with examinations of various fields of application, like infectious diseases, autonomous car and monotone inclusion problems.
Book Synopsis Wavelet Numerical Method and Its Applications in Nonlinear Problems by : You-He Zhou
Download or read book Wavelet Numerical Method and Its Applications in Nonlinear Problems written by You-He Zhou and published by Springer Nature. This book was released on 2021-03-09 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes the basic theory of wavelets and some related algorithms in an easy-to-understand language from the perspective of an engineer rather than a mathematician. In this book, the wavelet solution schemes are systematically established and introduced for solving general linear and nonlinear initial boundary value problems in engineering, including the technique of boundary extension in approximating interval-bounded functions, the calculation method for various connection coefficients, the single-point Gaussian integration method in calculating the coefficients of wavelet expansions and unique treatments on nonlinear terms in differential equations. At the same time, this book is supplemented by a large number of numerical examples to specifically explain procedures and characteristics of the method, as well as detailed treatments for specific problems. Different from most of the current monographs focusing on the basic theory of wavelets, it focuses on the use of wavelet-based numerical methods developed by the author over the years. Even for the necessary basic theory of wavelet in engineering applications, this book is based on the author’s own understanding in plain language, instead of a relatively difficult professional mathematical description. This book is very suitable for students, researchers and technical personnel who only want to need the minimal knowledge of wavelet method to solve specific problems in engineering.
Book Synopsis Dynamical Systems: Theoretical and Experimental Analysis by : Jan Awrejcewicz
Download or read book Dynamical Systems: Theoretical and Experimental Analysis written by Jan Awrejcewicz and published by Springer. This book was released on 2016-09-17 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is the second volume of a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the international conference "Dynamical Systems: Theory and Applications," held in Łódź, Poland on December 7-10, 2015. The studies give deep insight into new perspectives in analysis, simulation, and optimization of dynamical systems, emphasizing directions for future research. Broadly outlined topics covered include: bifurcation and chaos in dynamical systems, asymptotic methods in nonlinear dynamics, dynamics in life sciences and bioengineering, original numerical methods of vibration analysis, control in dynamical systems, stability of dynamical systems, vibrations of lumped and continuous sytems, non-smooth systems, engineering systems and differential equations, mathematical approaches to dynamical systems, and mechatronics.
Book Synopsis Issues in Extreme Conditions Technology Research and Application: 2013 Edition by :
Download or read book Issues in Extreme Conditions Technology Research and Application: 2013 Edition written by and published by ScholarlyEditions. This book was released on 2013-05-01 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Extreme Conditions Technology Research and Application: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Cryogenics. The editors have built Issues in Extreme Conditions Technology Research and Application: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Cryogenics in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Extreme Conditions Technology Research and Application: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
Book Synopsis Proceedings of the 15th International Conference on Vibration Problems by :
Download or read book Proceedings of the 15th International Conference on Vibration Problems written by and published by Springer Nature. This book was released on 2024 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the Proceedings of the 15th International Conference on Vibration Problems (ICoVP 2023) and covers vibration problems of engineering both in theoretical and applied fields. Various topics covered in this volume are Vibration in Oil and Gas, Structural Dynamics, Structural Health Monitoring, Rotor Dynamics, Measurement Diagnostics in Vibration, Computational methods in Vibration and Wave Mechanics, Dynamics of Coupled Systems, Dynamics of Micro and Macro Systems, Multi-body dynamics, Nonlinear dynamics Reliability of dynamic systems, Vibrations due to solid/liquid phase interaction, Vibrations of transport systems, Seismic Isolation, Soil dynamics, Geotechnical earthquake engineering Dynamics of concrete structures, Underwater shock waves (Tsunami), Vibration control, uncertainty quantification and reliability analysis of dynamic structures, Vibration problems associated with nuclear power reactors, Earthquake engineering, impact and wind loading and vibration in composite structures and fracture mechanics. This book will be useful for both professionals and researchers working on vibrations problems in multidisciplinary areas.
Book Synopsis Entropy in Dynamic Systems by : Jan Awrejcewicz
Download or read book Entropy in Dynamic Systems written by Jan Awrejcewicz and published by MDPI. This book was released on 2019-10-16 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: In order to measure and quantify the complex behavior of real-world systems, either novel mathematical approaches or modifications of classical ones are required to precisely predict, monitor, and control complicated chaotic and stochastic processes. Though the term of entropy comes from Greek and emphasizes its analogy to energy, today, it has wandered to different branches of pure and applied sciences and is understood in a rather rough way, with emphasis placed on the transition from regular to chaotic states, stochastic and deterministic disorder, and uniform and non-uniform distribution or decay of diversity. This collection of papers addresses the notion of entropy in a very broad sense. The presented manuscripts follow from different branches of mathematical/physical sciences, natural/social sciences, and engineering-oriented sciences with emphasis placed on the complexity of dynamical systems. Topics like timing chaos and spatiotemporal chaos, bifurcation, synchronization and anti-synchronization, stability, lumped mass and continuous mechanical systems modeling, novel nonlinear phenomena, and resonances are discussed.
Book Synopsis Advances in Vibration Analysis Research by : Farzad Ebrahimi
Download or read book Advances in Vibration Analysis Research written by Farzad Ebrahimi and published by IntechOpen. This book was released on 2011-04-04 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vibrations are extremely important in all areas of human activities, for all sciences, technologies and industrial applications. Sometimes these Vibrations are useful but other times they are undesirable. In any case, understanding and analysis of vibrations are crucial. This book reports on the state of the art research and development findings on this very broad matter through 22 original and innovative research studies exhibiting various investigation directions. The present book is a result of contributions of experts from international scientific community working in different aspects of vibration analysis. The text is addressed not only to researchers, but also to professional engineers, students and other experts in a variety of disciplines, both academic and industrial seeking to gain a better understanding of what has been done in the field recently, and what kind of open problems are in this area.
Book Synopsis The Role of Damping in Vibration and Noise Control by : L. Rogers
Download or read book The Role of Damping in Vibration and Noise Control written by L. Rogers and published by . This book was released on 1987 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Vibrations of Continuous Systems by : Eberhard Brommundt
Download or read book Vibrations of Continuous Systems written by Eberhard Brommundt and published by Springer. This book was released on 1980-12-31 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction To The Fractional Calculus Of Variations by : Delfim F M Torres
Download or read book Introduction To The Fractional Calculus Of Variations written by Delfim F M Torres and published by World Scientific Publishing Company. This book was released on 2012-09-14 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book provides a broad introduction to the fascinating and beautiful subject of Fractional Calculus of Variations (FCV). In 1996, FVC evolved in order to better describe non-conservative systems in mechanics. The inclusion of non-conservatism is extremely important from the point of view of applications. Forces that do not store energy are always present in real systems. They remove energy from the systems and, as a consequence, Noether's conservation laws cease to be valid. However, it is still possible to obtain the validity of Noether's principle using FCV. The new theory provides a more realistic approach to physics, allowing us to consider non-conservative systems in a natural way. The authors prove the necessary Euler-Lagrange conditions and corresponding Noether theorems for several types of fractional variational problems, with and without constraints, using Lagrangian and Hamiltonian formalisms. Sufficient optimality conditions are also obtained under convexity, and Leitmann's direct method is discussed within the framework of FCV.The book is self-contained and unified in presentation. It may be used as an advanced textbook by graduate students and ambitious undergraduates in mathematics and mechanics. It provides an opportunity for an introduction to FCV for experienced researchers. The explanations in the book are detailed, in order to capture the interest of the curious reader, and the book provides the necessary background material required to go further into the subject and explore the rich research literature./a
Book Synopsis The Seventh International Conference on Vibration Problems ICOVP 2005 by : Esin Inan
Download or read book The Seventh International Conference on Vibration Problems ICOVP 2005 written by Esin Inan and published by Springer Science & Business Media. This book was released on 2007-01-20 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the Proceedings of the Seventh International Conference on Vibration Problems, held in Istanbul, Turkey, September 5-9, 2005. The main objective being to stimulate a broad interdisciplinary research. The topics covered in the book vary from the effect of ground motion on the stochastic response of suspension bridges to coupling effects between different vibrations in rotor-blade systems.
