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 334 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.
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
Download or read book Theory of Fractional Evolution Equations written by Yong Zhou and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-03-21 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional evolution equations provide a unifying framework to investigate wellposedness of complex systems with fractional order derivatives. This monograph presents the existence, attractivity, stability, periodic solutions and control theory for time fractional evolution equations. The book contains an up-to-date and comprehensive stuff on the topic.
Download or read book Engineering Vibration Analysis written by Valery A. Svetlitsky and published by Springer Science & Business Media. This book was released on 2012-11-07 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of vibrations belongs to principal subjects needed for training mechani cal engineers in technological universities. Therefore, the basic goal of the mono graph "Advanced Theory of Vibrations 1" is to help students studying vibration theory for gaining experience in application of this theory for solving particular problems. Thus, while choosing the problems and methods to solve them, the close attention was paid to the applied content of vibration theory. The monograph is devoted to systems with a single degree of freedom and sys tems with a finite number of degrees of freedom. In particular, problems are for mulated associated with determination of frequencies and forms of vibrations, study of forced vibrations, analysis of both stable and unstable vibrations (includ ing those caused by periodic but anharmonic forces). The problems of nonlinear vibrations and of vibration stability, and those related to seeking probabilistic characteristics for solutions to these problems in the case of random forces are also considered. Problems related to parametric vibrations and statistical dynamics of mechanical systems, as well as to determination of critical parameters and of dy namic stability are also analyzed. As a rule, problems presented in the monograph are associated with particular mechanical systems and can be applied for current studies in vibration theory. Al lowing for interests of students independently studying theory of vibrations, the majority of problems are supplied with either detailed solutions or algorithms of the solutions.
Download or read book Theory of Vibration written by Ahmed A. Shabana and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to impart a sound understanding, both physical and mathematical, of the fundamental theory of vibration and its applications. The book presents in a simple and systematic manner techniques that can easily be applied to the analysis of vibration of mechanical and structural systems. Unlike other texts on vibrations, the approach is general, based on the conservation of energy and Lagrangian dynamics, and develops specific techniques from these foundations in clearly understandable stages. Suitable for a one-semester course on vibrations, the book presents new concepts in simple terms and explains procedures for solving problems in considerable detail.
Download or read book Theory of Vibration written by A.A. Shabana and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to impart a sound understanding, both physical and mathematical, of the fundamental theory of vibration and its applications. The book presents in a simple and systematic manner techniques that can easily be applied to the analysis of vibration of mechanical and structural systems. Unlike other texts on vibrations, the approach is general, based on the conservation of energy and Lagrangian dynamics, and develops specific techniques from these foundations in clearly understandable stages. Suitable for a one-semester course on vibrations, the book presents new concepts in simple terms and explains procedures for solving problems in considerable detail.
Download or read book Applied Structural and Mechanical Vibrations written by Paolo L. Gatti and published by . This book was released on 2014 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of Applied Structural and Mechanical Vibrations: Theory and Methods continues the first edition's dual focus on the mathematical theory and the practical aspects of engineering vibrations measurement and analysis. This book emphasises the physical concepts, brings together theory and practice, and includes a number of worked-out examples of varying difficulty and an extensive list of references. What's New in the Second Edition:Adds new material on response spectraIncludes revised chapters on modal analysis and on.
Download or read book Vibrations and Stability written by Jon Juel Thomsen and published by Springer Nature. This book was released on 2021-03-18 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: An ideal text for students that ties together classical and modern topics of advanced vibration analysis in an interesting and lucid manner. It provides students with a background in elementary vibrations with the tools necessary for understanding and analyzing more complex dynamical phenomena that can be encountered in engineering and scientific practice. It progresses steadily from linear vibration theory over various levels of nonlinearity to bifurcation analysis, global dynamics and chaotic vibrations. It trains the student to analyze simple models, recognize nonlinear phenomena and work with advanced tools such as perturbation analysis and bifurcation analysis. Explaining theory in terms of relevant examples from real systems, this book is user-friendly and meets the increasing interest in non-linear dynamics in mechanical/structural engineering and applied mathematics and physics. This edition includes a new chapter on the useful effects of fast vibrations and many new exercise problems.
Download or read book Mechanical Vibrations written by Francis S. Tse and published by Allyn & Bacon. This book was released on 1978 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fractional Differential Equations written by Mouffak Benchohra and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-11-20 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the existence and uniqueness results for various classes of problems with periodic conditions. All of the problems in this book deal with fractional differential equations and some fractional derivatives such as the Riemann-Liouville, Caputo and Hilfer fractional derivatives. Classical fixed point theorems as well as the coincidence degree theory of Mawhin are employed as tools.
Download or read book Mechanical Vibrations written by Shrikant Bhave and published by Pearson Education India. This book was released on 2010 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanical Vibrations is an unequaled combination of conventional vibration techniques along with analysis, design, computation and testing. Emphasis is given on solving vibration related issues and failures in industry.
Download or read book Mechanical Vibrations written by Ivan E. Morse and published by . This book was released on 1978 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Engineering Vibrations written by William J. Bottega and published by CRC Press. This book was released on 2014-12-11 with total page 919 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough study of the oscillatory and transient motion of mechanical and structural systems, Engineering Vibrations, Second Edition presents vibrations from a unified point of view, and builds on the first edition with additional chapters and sections that contain more advanced, graduate-level topics. Using numerous examples and case studies, the author reviews basic principles, incorporates advanced abstract concepts from first principles, and weaves together physical interpretation and fundamental principles with applied problem solving. This revised version combines the physical and mathematical facets of vibration, and emphasizes the connecting ideas, concepts, and techniques.
Download or read book Fractional Calculus with Applications in Mechanics written by Teodor M. Atanackovic and published by John Wiley & Sons. This book was released on 2014-02-19 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains mathematical preliminaries in which basic definitions of fractional derivatives and spaces are presented. The central part of the book contains various applications in classical mechanics including fields such as: viscoelasticity, heat conduction, wave propagation and variational Hamilton–type principles. Mathematical rigor will be observed in the applications. The authors provide some problems formulated in the classical setting and some in the distributional setting. The solutions to these problems are presented in analytical form and these solutions are then analyzed numerically. Theorems on the existence of solutions will be presented for all examples discussed. In using various constitutive equations the restrictions following from the second law of thermodynamics will be implemented. Finally, the physical implications of obtained solutions will be discussed in detail.
Download or read book Outliers in Control Engineering written by Paweł D. Domański and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-03-07 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Outliers play an important, though underestimated, role in control engineering. Traditionally they are unseen and neglected. In opposition, industrial practice gives frequent examples of their existence and their mostly negative impacts on the control quality. The origin of outliers is never fully known. Some of them are generated externally to the process (exogenous), like for instance erroneous observations, data corrupted by control systems or the effect of human intervention. Such outliers appear occasionally with some unknow probability shifting real value often to some strange and nonsense value. They are frequently called deviants, anomalies or contaminants. In most cases we are interested in their detection and removal. However, there exists the second kind of outliers. Quite often strange looking data observations are not artificial data occurrences. They may be just representatives of the underlying generation mechanism being inseparable internal part of the process (endogenous outliers). In such a case they are not wrong and should be treated with cautiousness, as they may include important information about the dynamic nature of the process. As such they cannot be neglected nor simply removed. The Outlier should be detected, labelled and suitably treated. These activities cannot be performed without proper analytical tools and modeling approaches. There are dozens of methods proposed by scientists, starting from Gaussian-based statistical scoring up to data mining artificial intelligence tools. The research presented in this book presents novel approach incorporating non-Gaussian statistical tools and fractional calculus approach revealing new data analytics applied to this important and challenging task. The proposed book includes a collection of contributions addressing different yet cohesive subjects, like dynamic modelling, classical control, advanced control, fractional calculus, statistical analytics focused on an ultimate goal: robust and outlier-proof analysis. All studied problems show that outliers play an important role and classical methods, in which outlier are not taken into account, do not give good results. Applications from different engineering areas are considered such as semiconductor process control and monitoring, MIMO peltier temperature control and health monitoring, networked control systems, and etc.
Download or read book Theory of Vibrations with Applications written by William Tyrrell Thomson and published by . This book was released on 2013-09-20 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Junior or Senior level Vibration courses in Departments of Mechanical Engineering. A thorough treatment of vibration theory and its engineering applications, from simple degree to multi degree-of-freedom system.
Download or read book Mechanical Vibrations written by György Szeidl and published by Springer Nature. This book was released on 2020-06-16 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a unified introduction to the theory of mechanical vibrations. The general theory of the vibrating particle is the point of departure for the field of multidegree of freedom systems. Emphasis is placed in the text on the issue of continuum vibrations. The presented examples are aimed at helping the readers with understanding the theory.This book is of interest among others to mechanical, civil and aeronautical engineers concerned with the vibratory behavior of the structures. It is useful also for students from undergraduate to postgraduate level. The book is based on the teaching experience of the authors.
