Fractional Vibrations With Applications To Euler Bernoulli Beams
Download Fractional Vibrations With Applications To Euler Bernoulli Beams full books in PDF, epub, and Kindle. Read online free Fractional Vibrations With Applications To Euler Bernoulli Beams ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
| Author | : Ming Li |
| Publisher | : CRC Press |
| Total Pages | : 559 |
| Release | : 2023-12-29 |
| Genre | : Transportation |
| ISBN | : 1003801145 |
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
| Author | : Subrat Kumar Jena |
| Publisher | : CRC Press |
| Total Pages | : 162 |
| Release | : 2024-12-09 |
| Genre | : Technology & Engineering |
| ISBN | : 1040154727 |
The uncertainties or randomness of the material properties of structural components are of serious concern to engineers. Structural analysis is usually done by taking into account only deterministic or crisp parameters; however, building materials can have the aspects of uncertainty. The causes of this uncertainty or randomness are defects in atomic configurations, measurement errors, environmental conditions, and other factors. The influence of uncertainties is more profound for nanoscale and microstructures due to their small-scale effects. Several nanoscale experiments and molecular dynamics studies also support the claim of possible attachment of randomness for various parameters. With regard to these concerns, it is necessary to propose new models that specifically integrate and effectively overcome imprecisely defined parameters of the system. Structural Dynamics in Uncertain Environments presents the uncertainty modeling of nanobeams, microbeams, and Funtionally Graded (FG) beams using non-probabilistic approaches which include interval and fuzzy concepts. Vibration and stability analyses of the beams are conducted using different analytical, semi-analytical, and numerical methods for finding exact and/or approximate solutions of governing equations arising in uncertain environments. In this context, this book addresses structural uncertainties and investigates the dynamic behavior of micro-, nano-, and FG beams. Examines the concepts of fuzzy uncertain environments in structural dynamics Presents comprehensive analysis of propagation of uncertainty in vibration and buckling analyses Explains efficient mathematical methods to handle uncertainties in the governing equations
| Author | : Krzysztof Kamil Żur |
| Publisher | : Elsevier |
| Total Pages | : 392 |
| Release | : 2024-08-01 |
| Genre | : Computers |
| ISBN | : 0443219508 |
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
| Author | : S. Chakraverty |
| Publisher | : Springer Nature |
| Total Pages | : 468 |
| Release | : 2019-11-12 |
| Genre | : Technology & Engineering |
| ISBN | : 9811502870 |
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.
| Author | : Snehashish Chakraverty |
| Publisher | : John Wiley & Sons |
| Total Pages | : 464 |
| Release | : 2020-06-15 |
| Genre | : Mathematics |
| ISBN | : 1119585651 |
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.
| Author | : You-He Zhou |
| Publisher | : Springer Nature |
| Total Pages | : 478 |
| Release | : 2021-03-09 |
| Genre | : Technology & Engineering |
| ISBN | : 9813366435 |
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.
| Author | : Jan Awrejcewicz |
| Publisher | : Springer |
| Total Pages | : 424 |
| Release | : 2016-09-17 |
| Genre | : Mathematics |
| ISBN | : 3319424084 |
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.
| Author | : |
| Publisher | : ScholarlyEditions |
| Total Pages | : 840 |
| Release | : 2013-05-01 |
| Genre | : Technology & Engineering |
| ISBN | : 1490109390 |
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/.
| Author | : |
| Publisher | : Springer Nature |
| Total Pages | : 492 |
| Release | : 2024 |
| Genre | : Vibration |
| ISBN | : 9819959225 |
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.
| Author | : Jan Awrejcewicz |
| Publisher | : MDPI |
| Total Pages | : 172 |
| Release | : 2019-10-16 |
| Genre | : Science |
| ISBN | : 3039216163 |
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.
