Theory of Fractional Engineering Vibrations

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110726157
Total Pages : 334 pages
Book Rating : 4.1/5 (17 download)

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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 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.

Vibrations and Stability

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Publisher : Springer Science & Business Media
ISBN 13 : 3662107937
Total Pages : 420 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Vibrations and Stability by : Jon Juel Thomsen

Download or read book Vibrations and Stability written by Jon Juel Thomsen and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 420 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.

Engineering Vibration Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 354040970X
Total Pages : 325 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Engineering Vibration Analysis by : Valery A. Svetlitsky

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.

Theory of Vibration

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Publisher : Springer Science & Business Media
ISBN 13 : 1461239761
Total Pages : 360 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Theory of Vibration by : A.A. Shabana

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.

Fractional Vibrations with Applications to Euler-Bernoulli Beams

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Author :
Publisher : CRC Press
ISBN 13 : 1003801145
Total Pages : 559 pages
Book Rating : 4.0/5 (38 download)

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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

Theory of Vibration

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Publisher : Springer
ISBN 13 : 3319942719
Total Pages : 382 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Theory of Vibration by : Ahmed A. Shabana

Download or read book Theory of Vibration written by Ahmed A. Shabana and published by Springer. This book was released on 2018-10-12 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fully revised and updated third edition covers the physical and mathematical fundamentals of vibration analysis, including single degree of freedom, multi-degree of freedom, and continuous systems. A new chapter on special topics that include motion control, impact dynamics, and nonlinear dynamics is added to the new edition. In a simple and systematic manner, the book presents techniques that can easily be applied to the analysis of vibration of mechanical and structural systems. Suitable for a one-semester course on vibrations, the book presents the new concepts in simple terms and explains procedures for solving problems in considerable detail. It contains numerous exercises, examples and end-of-chapter problems.

Fractional Differential Equations

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111334384
Total Pages : 336 pages
Book Rating : 4.1/5 (113 download)

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Book Synopsis Fractional Differential Equations by : Mouffak Benchohra

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.

Theory of Vibration

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Publisher :
ISBN 13 : 9783540972761
Total Pages : 303 pages
Book Rating : 4.9/5 (727 download)

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Book Synopsis Theory of Vibration by : Ahmed A. Shabana

Download or read book Theory of Vibration written by Ahmed A. Shabana and published by . This book was released on 1991 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Engineering Vibration Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 3540444033
Total Pages : 243 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Engineering Vibration Analysis by : Valery A. Svetlitsky

Download or read book Engineering Vibration Analysis written by Valery A. Svetlitsky and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constantly increasing attention is paid in the course 'Vibration 'Theory' to vibration of mechanical systems with distributed parameters, since the real elements of machines, devices, and constructions are made of materials that are not perfectly rigid. 'Therefore, vibrations of the objects including, for ex ample, rod elastic elements excite the vibrations of these elements, which can produce a substantial effect on dynamic characteristics of moving objects and on readings of instruments. For a mechanical engineer working in the field of design of new technolo gies the principal thing is his know-how in developing the sophisticated math ematical models in which all specific features of operation of the objects under design in real conditions are meticulously taken into account. So, the main emphasis in this book is made on the methods of derivation of equations and on the algorithms of solving them (exactly or approximately) taking into con sideration all features of actual behavior of the forces acting upon elastic rod elements. 'The eigen value and eigen vector problems are considered at vibrations of curvilinear rods (including the rods with concentrated masses). Also consid ered are the problems with forced vibrations. When investigating into these problems an approximate method of numerical solution of the systems of lin ear differential equations in partial derivatives is described, which uses the principle of virtual displacements. Some problems are more complicated than others and can be used for practical works of students and their graduation theses.

Theory of Fractional Evolution Equations

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110769271
Total Pages : 342 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Theory of Fractional Evolution Equations by : Yong Zhou

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.

Outliers in Control Engineering

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110729121
Total Pages : 272 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Outliers in Control Engineering by : Paweł D. Domański

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.

Linear vibrations

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Publisher : Springer Science & Business Media
ISBN 13 : 9400950470
Total Pages : 332 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Linear vibrations by : P.C. Müller

Download or read book Linear vibrations written by P.C. Müller and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last decade the development in vibration analysis was char acterized by increasing demands on precision and by the growing use of electronic computers. At present, improvements in precision are obtained by a more accurate modelling of technical systems. Thus, for instance, a system with one degree of freedom is often not accepted, as it used to be, as a model for vibration analysis in mechanical engineering. As a rule, vehicles and machines have to be modelled as systems with many degrees of freedom such as multibody systems, finite element systems or con tinua. The mathematical description of multi-degree-of-freedom systems leads to matrix representations of the corresponding equations. These are then conveniently analyzed by means of electronic computers, that is, by the analog computer and especially by the digital machine. Hence there exists a mutually stimulating interaction between the growing require ments and the increasing computational facilities. The present book deals with linear vibration analysis of technical systems with many degrees of freedom in a form allowing the use of computers for finding solutions. Part I begins with the classification of vibrating systems. The main characteristics here are the kind of differential equation, the time depen dence of the coefficients and the attributes of the exciting process. Next it is shown by giving examples involving mechanical vibrating systems how to set up equations of motion and how to transform these into state equations.

Engineering Vibrations

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Publisher : CRC Press
ISBN 13 : 9780849334207
Total Pages : 762 pages
Book Rating : 4.3/5 (342 download)

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Book Synopsis Engineering Vibrations by : William J. Bottega

Download or read book Engineering Vibrations written by William J. Bottega and published by CRC Press. This book was released on 2006-02-17 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: A resource on vibration that imparts a deep physical as well as mathematical understanding is critical to students who first encounter the subject. Books with an overly mathematical focus can leave them without a grasp of the underlying physics and mechanics. Those that attempt to be reader-friendly often oversimplify the mathematics and mechanics, leaving them with a lack of depth and unprepared for advanced work and complex problems. With a carefully balanced approach, Engineering Vibrations provides a systematic and unified treatment of mechanical and structural vibrations along with rigorous yet approachable mathematical development. This text advances abstract concepts from first principles. The author weaves together the physical interpretation and fundamental principles with applied problem solving and uses illustrative examples and case studies to reinforce the concepts, encourage effective interpretation of results, and assist in learning the techniques and procedures. Accompanied by more than 500 two- and three-dimensional drawings, the book offers tabulated results of case studies and a table of operators of various one-dimensional continua. It also contains problem-solving flowcharts for solving forced vibration problems for discrete and continuous systems. For each class of system, it explores the fundamental dynamics and studies free and forced vibrations under various conditions. Buildinga solid understanding of the principles and bases for mechanical and structural vibration, Engineering Vibrations offers a comprehensive and accessible introduction to the subject of vibrations and progresses systematically to advanced topics.

Applied Structural and Mechanical Vibrations

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Publisher : CRC Press
ISBN 13 : 0415565782
Total Pages : 670 pages
Book Rating : 4.4/5 (155 download)

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Book Synopsis Applied Structural and Mechanical Vibrations by : Paolo L. Gatti

Download or read book Applied Structural and Mechanical Vibrations written by Paolo L. Gatti and published by CRC Press. This book was released on 2014-02-24 with total page 670 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 spectra Includes revised chapters on modal analysis and on probability and statistics Introduces new material on stochastic processes and random vibrations The book explores the theory and methods of engineering vibrations. By also addressing the measurement and analysis of vibrations in real-world applications, it provides and explains the fundamental concepts that form the common background of disciplines such as structural dynamics, mechanical, aerospace, automotive, earthquake, and civil engineering. Applied Structural and Mechanical Vibrations: Theory and Methods presents the material in order of increasing complexity. It introduces the simplest physical systems capable of vibratory motion in the fundamental chapters, and then moves on to a detailed study of the free and forced vibration response of more complex systems. It also explains some of the most important approximate methods and experimental techniques used to model and analyze these systems. With respect to the first edition, all the material has been revised and updated, making it a superb reference for advanced students and professionals working in the field.

Theory of Vibration

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Publisher : Springer
ISBN 13 : 9781468403817
Total Pages : 336 pages
Book Rating : 4.4/5 (38 download)

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Book Synopsis Theory of Vibration by : A.A. Shabana

Download or read book Theory of Vibration written by A.A. Shabana and published by Springer. This book was released on 2012-07-11 with total page 336 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 fundamentals of the theory of vibration and its applications. It presents in a simple and systematic manner techniques that can be easily applied to the analysis of vibration of mechanical and structural systems. In this book, an attempt has been made to provide the rational development of the methods of vibration from their foundations and develop the techniques in clearly understandable stages. This is the first volume, entitled "An Introduction", intended for an introductory semester course in the theory of vibration. The solution procedures are explained in details easily understandable by students. The second volume, "Discrete and Continuous Systems", is planned for publication in the fall of 1990.

Mechanical Vibrations - Theory And Application - An Introduction To Practical Dynamic Engineering Problems In The Structural Field

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Author :
Publisher : Read Books Ltd
ISBN 13 : 1473381231
Total Pages : 191 pages
Book Rating : 4.4/5 (733 download)

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Book Synopsis Mechanical Vibrations - Theory And Application - An Introduction To Practical Dynamic Engineering Problems In The Structural Field by : R. K. Bernhard

Download or read book Mechanical Vibrations - Theory And Application - An Introduction To Practical Dynamic Engineering Problems In The Structural Field written by R. K. Bernhard and published by Read Books Ltd. This book was released on 2013-05-31 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to give to students and practicing engineers who have not studied dynamics and who are interested in mechanical vibrations a sound introduction to this important field of engineering science. It must be emphasized that it is not the purpose of this book to give a complete treatment of this subject which would require an extensive application of higher mathematics. The bibliography lists books and articles where this aim has been achieved in an excellent way.

Theory of Vibration with Applications

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Publisher : CRC Press
ISBN 13 : 1351408496
Total Pages : 572 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Theory of Vibration with Applications by : William Thomson

Download or read book Theory of Vibration with Applications written by William Thomson and published by CRC Press. This book was released on 2018-02-06 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition features a new chapter on computational methods that presents the basic principles on which most modern computer programs are developed. It introduces an example on rotor balancing and expands on the section on shock spectrum and isolation.