Vibrations And Waves In Continuous Mechanical Systems
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Vibrations And Waves In Continuous Mechanical Systems
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Author : Peter Hagedorn
language : en
Publisher: John Wiley & Sons
Release Date : 2007-10-22
Vibrations And Waves In Continuous Mechanical Systems written by Peter Hagedorn and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-22 with Science categories.
The subject of vibrations is of fundamental importance in engineering and technology. Discrete modelling is sufficient to understand the dynamics of many vibrating systems; however a large number of vibration phenomena are far more easily understood when modelled as continuous systems. The theory of vibrations in continuous systems is crucial to the understanding of engineering problems in areas as diverse as automotive brakes, overhead transmission lines, liquid filled tanks, ultrasonic testing or room acoustics. Starting from an elementary level, Vibrations and Waves in Continuous Mechanical Systems helps develop a comprehensive understanding of the theory of these systems and the tools with which to analyse them, before progressing to more advanced topics. Presents dynamics and analysis techniques for a wide range of continuous systems including strings, bars, beams, membranes, plates, fluids and elastic bodies in one, two and three dimensions. Covers special topics such as the interaction of discrete and continuous systems, vibrations in translating media, and sound emission from vibrating surfaces, among others. Develops the reader’s understanding by progressing from very simple results to more complex analysis without skipping the key steps in the derivations. Offers a number of new topics and exercises that form essential steppingstones to the present level of research in the field. Includes exercises at the end of the chapters based on both the academic and practical experience of the authors. Vibrations and Waves in Continuous Mechanical Systems provides a first course on the vibrations of continuous systems that will be suitable for students of continuous system dynamics, at senior undergraduate and graduate levels, in mechanical, civil and aerospace engineering. It will also appeal to researchers developing theory and analysis within the field.
Vibration Of Continuous Systems
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Author : Singiresu S. Rao
language : en
Publisher: John Wiley & Sons
Release Date : 2019-03-06
Vibration Of Continuous Systems written by Singiresu S. Rao and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-06 with Technology & Engineering categories.
A revised and up-to-date guide to advanced vibration analysis written by a noted expert The revised and updated second edition of Vibration of Continuous Systems offers a guide to all aspects of vibration of continuous systems including: derivation of equations of motion, exact and approximate solutions and computational aspects. The author—a noted expert in the field—reviews all possible types of continuous structural members and systems including strings, shafts, beams, membranes, plates, shells, three-dimensional bodies, and composite structural members. Designed to be a useful aid in the understanding of the vibration of continuous systems, the book contains exact analytical solutions, approximate analytical solutions, and numerical solutions. All the methods are presented in clear and simple terms and the second edition offers a more detailed explanation of the fundamentals and basic concepts. Vibration of Continuous Systems revised second edition: Contains new chapters on Vibration of three-dimensional solid bodies; Vibration of composite structures; and Numerical solution using the finite element method Reviews the fundamental concepts in clear and concise language Includes newly formatted content that is streamlined for effectiveness Offers many new illustrative examples and problems Presents answers to selected problems Written for professors, students of mechanics of vibration courses, and researchers, the revised second edition of Vibration of Continuous Systems offers an authoritative guide filled with illustrative examples of the theory, computational details, and applications of vibration of continuous systems.
Vibration Mechanics
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Author : Haiyan Hu
language : en
Publisher: Springer Nature
Release Date : 2022-02-08
Vibration Mechanics written by Haiyan Hu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-08 with Technology & Engineering categories.
This book is a novel tutorial for research-oriented study of vibration mechanics. The book begins with twelve open problems from six case studies of vibration mechanics in order to guide readers in studying the entire book. Then, the book surveys both theories and methods of linear vibrations in an elementary course from a new perspective of aesthetics of science so as to assist readers to upgrade their way of learning. The successive chapters offer a theoretical frame of linear vibrations and waves, covering the models of vibration systems, the vibration analysis of discrete systems, the natural vibrations of one-dimensional structures, the natural vibrations of symmetric structures, and the waves and vibrations of one-dimensional structures. The chapters help readers solve the twelve open problems step by step during the research-oriented study. The book tries to arouse the interest of graduate students and professionals, who have learnt an elementary course of vibration mechanics of two credits, to conduct the research-oriented study and achieve a helical upgrade understanding to vibration mechanics.
Advanced Mechanical Vibrations
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Author : Paolo Luciano Gatti
language : en
Publisher: CRC Press
Release Date : 2020-12-20
Advanced Mechanical Vibrations written by Paolo Luciano Gatti and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-20 with Technology & Engineering categories.
Advanced Mechanical Vibrations: Physics, Mathematics and Applications provides a concise and solid exposition of the fundamental concepts and ideas that pervade many specialised disciplines where linear engineering vibrations are involved. Covering the main key aspects of the subject – from the formulation of the equations of motion by means of analytical techniques to the response of discrete and continuous systems subjected to deterministic and random excitation – the text is ideal for intermediate to advanced students of engineering, physics and mathematics. In addition, professionals working in – or simply interested in – the field of mechanical and structural vibrations will find the content helpful, with an approach to the subject matter that places emphasis on the strict, inextricable and sometimes subtle interrelations between physics and mathematics, on the one hand, and theory and applications, on the other hand. It includes a number of worked examples in each chapter, two detailed mathematical appendixes and an extensive list of references.
Wave Dispersion Characteristics Of Continuous Mechanical Systems
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Author : Farzad Ebrahimi
language : en
Publisher: CRC Press
Release Date : 2023-12-28
Wave Dispersion Characteristics Of Continuous Mechanical Systems written by Farzad Ebrahimi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-28 with Technology & Engineering categories.
Wave Dispersion Characteristics of Continuous Mechanical Systems provides a mechanical engineering-based analysis of wave dispersion response in various structures created from different materials. Looking at materials including strengthened nanocomposites, functionally graded materials, metal foams, and anisotropic materials, it uses analytical solution methods to solve typical problems in the framework of a micromechanics approach. Nanocomposites are a novel type of composite materials, fabricated by dispersing nanosized reinforcements in a matrix to combine the material properties of the matrix with the improved properties of nanosized elements. This book enables readers to learn about the theory and practical applications of this rapidly evolving field. Practically minded, the book investigates the impact of employing various nanofillers and demonstrates how this augments stiffness within the nanocomposite. Topics covered include agglomeration and waviness of nanofillers, porosity, elastic mediums, fluid flow, and the impact of the thermal environment on a propagated wave. Using mathematical formulations to solve wave dispersion characteristics of structures including beams, plates, and shells, the book obtains equations of structures using first- and higher-order shear deformation theories. This book will be of interest to professional engineers working in material and mechanical engineering, nanocomposites, nanofillers, and micromechanics. It will also be of interest to students in these fields.
Mechanical Vibrations Of Elastic Systems
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Author : Roy
language : en
Publisher: Asian Books Private Limited
Release Date : 2006
Mechanical Vibrations Of Elastic Systems written by Roy and has been published by Asian Books Private Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Dynamics categories.
This Book Presents The Topic Of Vibtations Comprehensively In Terms Of Principles Of Dynamics- Forces, Responses, Analysis, Solutions, Examples, Measurement, Interpretation, Control And Probabilistic Approaches. Idealised Discrete Systems As Well As Continuous Systems Are Discussed In Detail. A Wide Array Of Numerical Methods Used In Vibration Analysis Are Presented In View Of Their Enormous Popularity, Adaptability Using Personal Computers. A Large Number Of Examples Have Been Worked Out To Help An Easy Understanding Of Even The Difficult Topics In Vibration Analysis And Control.
Nonlinear Vibration With Control
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Author : David Wagg
language : en
Publisher: Springer
Release Date : 2014-11-03
Nonlinear Vibration With Control written by David Wagg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-03 with Technology & Engineering categories.
This book provides a comprehensive discussion of nonlinear multi-modal structural vibration problems, and shows how vibration suppression can be applied to such systems by considering a sample set of relevant control techniques. It covers the basic principles of nonlinear vibrations that occur in flexible and/or adaptive structures, with an emphasis on engineering analysis and relevant control techniques. Understanding nonlinear vibrations is becoming increasingly important in a range of engineering applications, particularly in the design of flexible structures such as aircraft, satellites, bridges, and sports stadia. There is an increasing trend towards lighter structures, with increased slenderness, often made of new composite materials and requiring some form of deployment and/or active vibration control. There are also applications in the areas of robotics, mechatronics, micro electrical mechanical systems, non-destructive testing and related disciplines such as structural health monitoring. Two broader themes cut across these application areas: (i) vibration suppression – or active damping – and, (ii) adaptive structures and machines. In this expanded 2nd edition, revisions include: An additional section on passive vibration control, including nonlinear vibration mounts. A more in-depth description of semi-active control, including switching and continuous schemes for dampers and other semi-active systems. A complet e reworking of normal form analysis, which now includes new material on internal resonance, bifurcation of backbone curves and stability analysis of forced responses. Further analysis of the nonlinear dynamics of cables including internal resonance leading to whirling. Additional material on the vibration of systems with impact friction. The book is accessible to practitioners in the areas of application, as well as students and researchers working on related topics. In particular, the aim is to introduce the key concepts of nonlinear vibration to readers who have an understanding of linear vibration and/or linear control, but no specialist knowledge in nonlinear dynamics or nonlinear control.
Replication Of Chaos In Neural Networks Economics And Physics
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Author : Marat Akhmet
language : en
Publisher: Springer
Release Date : 2015-08-13
Replication Of Chaos In Neural Networks Economics And Physics written by Marat Akhmet and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-13 with Science categories.
This book presents detailed descriptions of chaos for continuous-time systems. It is the first-ever book to consider chaos as an input for differential and hybrid equations. Chaotic sets and chaotic functions are used as inputs for systems with attractors: equilibrium points, cycles and tori. The findings strongly suggest that chaos theory can proceed from the theory of differential equations to a higher level than previously thought. The approach selected is conducive to the in-depth analysis of different types of chaos. The appearance of deterministic chaos in neural networks, economics and mechanical systems is discussed theoretically and supported by simulations. As such, the book offers a valuable resource for mathematicians, physicists, engineers and economists studying nonlinear chaotic dynamics.
On Direct And Inverse Problems Related To Longitudinal Impact Of Non Uniform Elastic Rods
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Author : Burgert, Jens
language : en
Publisher: KIT Scientific Publishing
Release Date : 2021-05-07
On Direct And Inverse Problems Related To Longitudinal Impact Of Non Uniform Elastic Rods written by Burgert, Jens and has been published by KIT Scientific Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-07 with Technology & Engineering categories.
The impact of two non-uniform elastic rods is considered and a recursive method was developed that solves the inverse problem: Find the location-dependent impedance function of the impacting rod that generates a prescribed impact force. The developed method delivers exact solutions in closed-form. Moreover, a condition is derived which states if a physically meaningful solution exists. Finally, the underlying 1D model has been validated experimentally.
Advances In The Theory Of System Decoupling
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Author : Rubens Gonçalves Salsa Junior
language : en
Publisher: Springer Nature
Release Date : 2020-11-21
Advances In The Theory Of System Decoupling written by Rubens Gonçalves Salsa Junior and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-21 with Technology & Engineering categories.
This book presents a concise, clear, and consistent account of the methodology of phase synchronization, an extension of modal analysis to decouple any linear system in real space. It expounds on the novel theory of phase synchronization and presents recent advances, while also providing relevant background on classical decoupling theories that are used in structural analysis. The theory is illustrated with a broad range of examples. The theoretical development is also supplemented by applications to engineering problems. In addition, the methodology is implemented in a MATLAB algorithm which can be used to solve many of the illustrative examples in the book. This book is suited for researchers, practicing engineers, and graduate students in various fields of engineering, mathematics, and physical science.