Fractional Calculus And Waves In Linear Viscoelasticity: An Introduction To Mathematical Models

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Publisher : World Scientific
ISBN 13 : 1908978570
Total Pages : 368 pages
Book Rating : 4.9/5 (89 download)

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Book Synopsis Fractional Calculus And Waves In Linear Viscoelasticity: An Introduction To Mathematical Models by : Francesco Mainardi

Download or read book Fractional Calculus And Waves In Linear Viscoelasticity: An Introduction To Mathematical Models written by Francesco Mainardi and published by World Scientific. This book was released on 2010-05-18 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a comprehensive overview of the author's work on the fields of fractional calculus and waves in linear viscoelastic media, which includes his pioneering contributions on the applications of special functions of the Mittag-Leffler and Wright types.It is intended to serve as a general introduction to the above-mentioned areas of mathematical modeling. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to delve further into the subject and explore the research literature given in the huge general bibliography.This book is likely to be of interest to applied scientists and engineers./a

Fractional Calculus And Waves In Linear Viscoelasticity: An Introduction To Mathematical Models (Second Edition)

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Publisher : World Scientific
ISBN 13 : 1783264004
Total Pages : 626 pages
Book Rating : 4.7/5 (832 download)

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Book Synopsis Fractional Calculus And Waves In Linear Viscoelasticity: An Introduction To Mathematical Models (Second Edition) by : Francesco Mainardi

Download or read book Fractional Calculus And Waves In Linear Viscoelasticity: An Introduction To Mathematical Models (Second Edition) written by Francesco Mainardi and published by World Scientific. This book was released on 2022-08-16 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional Calculus and Waves in Linear Viscoelasticity (Second Edition) is a self-contained treatment of the mathematical theory of linear (uni-axial) viscoelasticity (constitutive equation and waves) with particular regard to models based on fractional calculus. It serves as a general introduction to the above-mentioned areas of mathematical modeling. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to delve further into the subject and explore the research literature. In particular the relevant role played by some special functions is pointed out along with their visualization through plots. Graphics are extensively used in the book and a large general bibliography is included at the end.This new edition keeps the structure of the first edition but each chapter has been revised and expanded, and new additions include a novel appendix on complete monotonic and Bernstein functions that are known to play a fundamental role in linear viscoelasticity.This book is suitable for engineers, graduate students and researchers interested in fractional calculus and continuum mechanics.

Modern Mechanical Engineering

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Publisher : Springer Science & Business Media
ISBN 13 : 3642451764
Total Pages : 463 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Modern Mechanical Engineering by : J. Paulo Davim

Download or read book Modern Mechanical Engineering written by J. Paulo Davim and published by Springer Science & Business Media. This book was released on 2014-01-07 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers modern subjects of mechanical engineering such as nanomechanics and nanotechnology, mechatronics and robotics, computational mechanics, biomechanics, alternative energies, sustainability as well as all aspects related with mechanical engineering education. The chapters help enhance the understanding of both the fundamentals of mechanical engineering and its application to the solution of problems in modern industry. This book is suitable for students, both in final undergraduate mechanical engineering courses or at the graduate level. It also serves as a useful reference for academics, mechanical engineering researchers, mechanical, materials and manufacturing engineers, professionals in related with mechanical engineering.

Structural Dynamics

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Publisher : CRC Press
ISBN 13 : 9789058095114
Total Pages : 880 pages
Book Rating : 4.0/5 (951 download)

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Book Synopsis Structural Dynamics by : Harry Grundmann

Download or read book Structural Dynamics written by Harry Grundmann and published by CRC Press. This book was released on 2002 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings contain contributions presented by authors from more than 30 countries at EURODYN 2002. The proceedings show recent scientific developments as well as practical applications, they cover the fields of theory of vibrations, nonlinear vibrations, stochastic dynamics, vibrations of structured elements, wave propagation and structure-borne sound, including questions of fatigue and damping. Emphasis is laid on vibrations of bridges, buildings, railway structures as well as on the fields of wind and earthquake engineering, repectively. Enriched by a number of keynote lectures and organized sessions the two volumes of the proceedings present an overview of the state of the art of the whole field of structural dynamics and the tendencies ot its further development.

Nonlinear Structural Dynamics and Damping

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Publisher : Springer
ISBN 13 : 3030133176
Total Pages : 324 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Nonlinear Structural Dynamics and Damping by : Juan Carlos Jauregui

Download or read book Nonlinear Structural Dynamics and Damping written by Juan Carlos Jauregui and published by Springer. This book was released on 2019-03-14 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book compiles recent research in the field of nonlinear dynamics, vibrations and damping applied to engineering structures. It addresses the modeling of nonlinear vibrations in beams, frames and complex mechanical systems, as well as the modeling of damping systems and viscoelastic materials applied to structural dynamics. The book includes several chapters related to solution techniques and signal analysis techniques. Last but not least, it deals with the identification of nonlinear responses applied to condition monitoring systems.

Theory and Applications of Fractional Differential Equations

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Publisher : Elsevier
ISBN 13 : 9780444518323
Total Pages : 550 pages
Book Rating : 4.5/5 (183 download)

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Book Synopsis Theory and Applications of Fractional Differential Equations by : A.A. Kilbas

Download or read book Theory and Applications of Fractional Differential Equations written by A.A. Kilbas and published by Elsevier. This book was released on 2006-02-16 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work aims to present, in a systematic manner, results including the existence and uniqueness of solutions for the Cauchy Type and Cauchy problems involving nonlinear ordinary fractional differential equations.

Fractional Calculus with Applications in Mechanics

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Publisher : John Wiley & Sons
ISBN 13 : 1118909135
Total Pages : 437 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Fractional Calculus with Applications in Mechanics by : Teodor M. Atanackovic

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 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: The books Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes and Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles contain various applications of fractional calculus to the fields of classical mechanics. Namely, the books study problems in fields such as viscoelasticity of fractional order, lateral vibrations of a rod of fractional order type, lateral vibrations of a rod positioned on fractional order viscoelastic foundations, diffusion-wave phenomena, heat conduction, wave propagation, forced oscillations of a body attached to a rod, impact and variational principles of a Hamiltonian type. The books will be useful for graduate students in mechanics and applied mathematics, as well as for researchers in these fields. Part 1 of this book presents an introduction to fractional calculus. Chapter 1 briefly gives definitions and notions that are needed later in the book and Chapter 2 presents definitions and some of the properties of fractional integrals and derivatives. Part 2 is the central part of the book. Chapter 3 presents the analysis of waves in fractional viscoelastic materials in infinite and finite spatial domains. In Chapter 4, the problem of oscillations of a translatory moving rigid body, attached to a heavy, or light viscoelastic rod of fractional order type, is studied in detail. In Chapter 5, the authors analyze a specific engineering problem of the impact of a viscoelastic rod against a rigid wall. Finally, in Chapter 6, some results for the optimization of a functional containing fractional derivatives of constant and variable order are presented.

Handbook of Fractional Calculus for Engineering and Science

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Publisher : CRC Press
ISBN 13 : 1000540103
Total Pages : 236 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Handbook of Fractional Calculus for Engineering and Science by : Harendra Singh

Download or read book Handbook of Fractional Calculus for Engineering and Science written by Harendra Singh and published by CRC Press. This book was released on 2022-02-17 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional calculus is used to model many real-life situations from science and engineering. The book includes different topics associated with such equations and their relevance and significance in various scientific areas of study and research. In this book readers will find several important and useful methods and techniques for solving various types of fractional-order models in science and engineering. The book should be useful for graduate students, PhD students, researchers and educators interested in mathematical modelling, physical sciences, engineering sciences, applied mathematical sciences, applied sciences, and so on. This Handbook: Provides reliable methods for solving fractional-order models in science and engineering. Contains efficient numerical methods and algorithms for engineering-related equations. Contains comparison of various methods for accuracy and validity. Demonstrates the applicability of fractional calculus in science and engineering. Examines qualitative as well as quantitative properties of solutions of various types of science- and engineering-related equations. Readers will find this book to be useful and valuable in increasing and updating their knowledge in this field and will be it will be helpful for engineers, mathematicians, scientist and researchers working on various real-life problems.

The Analysis of Fractional Differential Equations

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Publisher : Springer
ISBN 13 : 3642145744
Total Pages : 251 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis The Analysis of Fractional Differential Equations by : Kai Diethelm

Download or read book The Analysis of Fractional Differential Equations written by Kai Diethelm and published by Springer. This book was released on 2010-08-18 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional calculus was first developed by pure mathematicians in the middle of the 19th century. Some 100 years later, engineers and physicists have found applications for these concepts in their areas. However there has traditionally been little interaction between these two communities. In particular, typical mathematical works provide extensive findings on aspects with comparatively little significance in applications, and the engineering literature often lacks mathematical detail and precision. This book bridges the gap between the two communities. It concentrates on the class of fractional derivatives most important in applications, the Caputo operators, and provides a self-contained, thorough and mathematically rigorous study of their properties and of the corresponding differential equations. The text is a useful tool for mathematicians and researchers from the applied sciences alike. It can also be used as a basis for teaching graduate courses on fractional differential equations.

Structural Dynamic Analysis with Generalized Damping Models

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Publisher : John Wiley & Sons
ISBN 13 : 111857205X
Total Pages : 373 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Structural Dynamic Analysis with Generalized Damping Models by : Sondipon Adhikari

Download or read book Structural Dynamic Analysis with Generalized Damping Models written by Sondipon Adhikari and published by John Wiley & Sons. This book was released on 2013-12-11 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since Lord Rayleigh introduced the idea of viscous damping in his classic work "The Theory of Sound" in 1877, it has become standard practice to use this approach in dynamics, covering a wide range of applications from aerospace to civil engineering. However, in the majority of practical cases this approach is adopted more for mathematical convenience than for modeling the physics of vibration damping. Over the past decade, extensive research has been undertaken on more general "non-viscous" damping models and vibration of non-viscously damped systems. This book, along with a related book Structural Dynamic Analysis with Generalized Damping Models: Identification, is the first comprehensive study to cover vibration problems with general non-viscous damping. The author draws on his considerable research experience to produce a text covering: dynamics of viscously damped systems; non-viscously damped single- and multi-degree of freedom systems; linear systems with non-local and non-viscous damping; reduced computational methods for damped systems; and finally a method for dealing with general asymmetric systems. The book is written from a vibration theory standpoint, with numerous worked examples which are relevant across a wide range of mechanical, aerospace and structural engineering applications. Contents 1. Introduction to Damping Models and Analysis Methods. 2. Dynamics of Undamped and Viscously Damped Systems. 3. Non-Viscously Damped Single-Degree-of-Freedom Systems. 4. Non-viscously Damped Multiple-Degree-of-Freedom Systems. 5. Linear Systems with General Non-Viscous Damping. 6. Reduced Computational Methods for Damped Systems

Aeroacustic and Vibroacoustic Advancement in Aerospace and Automotive Systems

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Publisher : MDPI
ISBN 13 : 3038428515
Total Pages : 181 pages
Book Rating : 4.0/5 (384 download)

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Book Synopsis Aeroacustic and Vibroacoustic Advancement in Aerospace and Automotive Systems by : Roberto Citarella

Download or read book Aeroacustic and Vibroacoustic Advancement in Aerospace and Automotive Systems written by Roberto Citarella and published by MDPI. This book was released on 2018-06-26 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Advances in Vibroacoustics and Aeroacustics of Aerospace and Automotive Systems" that was published in Applied Sciences

Fractional Dynamics

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110472090
Total Pages : 392 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Fractional Dynamics by : Carlo Cattani

Download or read book Fractional Dynamics written by Carlo Cattani and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-01-01 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to recent developments in the theory of fractional calculus and its applications. Particular attention is paid to the applicability of this currently popular research field in various branches of pure and applied mathematics. In particular, the book focuses on the more recent results in mathematical physics, engineering applications, theoretical and applied physics as quantum mechanics, signal analysis, and in those relevant research fields where nonlinear dynamics occurs and several tools of nonlinear analysis are required. Dynamical processes and dynamical systems of fractional order attract researchers from many areas of sciences and technologies, ranging from mathematics and physics to computer science.

Proceedings of the 5th International Conference on Construction, Architecture and Technosphere Safety

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Publisher : Springer Nature
ISBN 13 : 3030911454
Total Pages : 548 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Proceedings of the 5th International Conference on Construction, Architecture and Technosphere Safety by : Andrey A. Radionov

Download or read book Proceedings of the 5th International Conference on Construction, Architecture and Technosphere Safety written by Andrey A. Radionov and published by Springer Nature. This book was released on 2022-03-02 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights recent findings in civil and environmental engineering and urban planning, and provides an overview of the state of the art in these fields, mainly in Russia and Eastern Europe. A broad range of topics and issues in modern engineering are discussed, including construction, buildings and structures, advanced materials, innovative technology, methods and techniques in civil engineering, heating, gas supply, water supply and sewerage, foundation engineering, BIM, structural reliability, durability and monitoring, special and unique structures construction (bridge, tunnel, road, railway engineering), design and construction of hydraulic structures, concrete engineering, urban regeneration and sustainable development, urban transport system, engineering structure safety and disaster prevention, water resources engineering, water and wastewater treatment, recycling and reuse of wastewater, etc. The volume gathers selected papers from the 5th International Conference on Construction, Architecture and Technosphere Safety (ICCATS), held in Sochi, Russia in September 2021. The authors are experts in various fields of engineering, and all papers have been carefully reviewed.

Proceedings of the 15th International Conference on Vibration Problems

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Publisher : Springer Nature
ISBN 13 : 9819959225
Total Pages : 492 pages
Book Rating : 4.8/5 (199 download)

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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.

Applications in Engineering, Life and Social Sciences, Part A

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110571900
Total Pages : 256 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Applications in Engineering, Life and Social Sciences, Part A by : Dumitru Bǎleanu

Download or read book Applications in Engineering, Life and Social Sciences, Part A 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.

Creep and Strength Behavior of Frozen Silt in Uniaxial Compression

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Publisher :
ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Creep and Strength Behavior of Frozen Silt in Uniaxial Compression by : Zhu Yuanlin

Download or read book Creep and Strength Behavior of Frozen Silt in Uniaxial Compression written by Zhu Yuanlin and published by . This book was released on 1987 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uniaxial constant-stress and constant-strain-rate compression tests were conducted on more than 200 remolded, saturated, frozen specimens of rates show a close strength correspondence between the constant-stress and constant-strain-rate tests. All of these complete stress vs strain rate curves could not be described by a single power law or exponential equation, indicating that different deformation mechanisms are dominant within different ranges of strain rate.

A Collection of Technical Papers

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Publisher :
ISBN 13 :
Total Pages : 608 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis A Collection of Technical Papers by :

Download or read book A Collection of Technical Papers written by and published by . This book was released on 1996 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: