Vibration of Continuous Systems

Author: Singiresu S. Rao

Publisher: John Wiley & Sons

ISBN: 0471771716

Category: Science

Page: 720

View: 2238

"Successful vibration analysis of continuous structural elements and systems requires a knowledge of material mechanics, structural mechanics, ordinary and partial differential equations, matrix methods, variational calculus, and integral equations. Fortunately, leading author Singiresu Rao has created Vibration of Continuous Systems, a new book that provides engineers, researchers, and students with everything they need to know about analytical methods of vibration analysis of continuous structural systems."--BOOK JACKET.

Vibration of Discrete and Continuous Systems

Author: Ahmed Shabana

Publisher: Springer Science & Business Media

ISBN: 1461240360

Category: Technology & Engineering

Page: 396

View: 849

Mechanical engineering, an engineering discipline borne of the needs of the industrial revolution, is once again asked to do its substantial share in the call for industrial renewal. The general call is urgent as we face profound issues of productivity and competitiveness that require engineering solutions, among others. The Mechanical Engineering Series features graduate texts and research monographs intended to address the need for information in con temporary areas of mechanical engineering. The series is conceived as a comprehensive one that covers a broad range of concentrations important to mechanical engineering graduate education and research. We are fortunate to have a distinguished roster of consulting editors on the advisory board, each an expert in one of the areas of concen tration. The names of the consulting editors are listed on the next page of this volume. The areas of concentration are: applied mechanics; bio mechanics; computational mechanics; dynamic systems and control; energetics; mechanics of materials; processing; thermal science; and tribology. Professor Marshek, the consulting editor for dynamic systems and control, and I are pleased to present the second edition of Vibration of Discrete and Continuous Systems by Professor Shabana. We note that this is the second of two volumes. The first deals with the theory of vibration.

Vibration of Continuous Systems

Author: Arthur W. Leissa,Mohamad S. Qatu

Publisher: McGraw Hill Professional

ISBN: 0071714804

Category: Technology & Engineering

Page: 528

View: 2899

IN-DEPTH INFORMATION ON THE VIBRATIONS OF CONTINUOUS SYSTEMS Written by experts in the field, Vibrations of Continuous Systems expalins the vibrational behavior of basic structural components and elements. Several real-world applications in various fields, including acoustics and aerospace, mechanical, civil, and biomedical engineering, are highlighted. The book includes the derivation of the governing equations of motion and emphasizes the interplay between mathematics and physical understanding. Challenging end-of-chapter problems reinforce the concepts presented in this detailed guide. COVERAGE INCLUDES: Transverse vibrations of strings Longitudinal and torsional vibrations of bars Beam vibrations Membrane vibrations Plate vibrations Shell vibrations Vibrations of three-dimensional bodies Vibrations of composite continuous systems

Die Theorie Des Schalles

Author: J.W. Rayleigh

Publisher: Рипол Классик

ISBN: 5877646796

Category: History

Page: N.A

View: 2767

Vibration of Continuous Systems

Author: Singiresu S Rao

Publisher: Wiley

ISBN: 1119424143

Category: Technology & Engineering

Page: 816

View: 5954

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.

Vibrations and Waves in Continuous Mechanical Systems

Author: Peter Hagedorn,Anirvan DasGupta

Publisher: John Wiley & Sons

ISBN: 9780470518427

Category: Science

Page: 396

View: 8344

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.

Vibrations, Dynamics and Structural Systems 2nd edition

Author: Madhujit Mukhopadhyay

Publisher: CRC Press

ISBN: 9789058092212

Category: Technology & Engineering

Page: 600

View: 725

This textbook is the student edition of the work on vibrations, dynamics and structural systems. There are exercises included at the end of each chapter.

Vibration and control of continuous systems

presented at the 2000 ASME International Mechanical Engineering Congress and Exposition : November 5-10, 2000, Orlando, Florida

Author: American Society of Mechanical Engineers. Design Engineering Division

Publisher: N.A

ISBN: N.A

Category: Science

Page: 155

View: 2587

Vibration and Coupling of Continuous Systems

Asymptotic Methods

Author: Jacqueline Sanchez Hubert

Publisher: Springer Science & Business Media

ISBN: 364273782X

Category: Science

Page: 421

View: 5562

Real problems concerning vibrations of elastic structures are among the most fascinating topics in mathematical and physical research as well as in applications in the engineering sciences. This book addresses the student familiar with the elementary mechanics of continua along with specialists. The authors start with an outline of the basic methods and lead the reader to research problems of current interest. An exposition of the method of spectra, asymptotic methods and perturbation is followed by applications to linear problems where elastic structures are coupled to fluids in bounded and unbounded domains, to radiation of immersed bodies, to local vibrations, to thermal effects and many more.

Theory of Vibration

Volume II: Discrete and Continuous Systems

Author: A.A. Shabana

Publisher: Springer Science & Business Media

ISBN: 146840380X

Category: Science

Page: 336

View: 9616

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.

Vibrations of Continuous Systems

Theory and Applications

Author: Eberhard Brommundt

Publisher: Springer

ISBN: 3709129184

Category: Science

Page: 219

View: 9299

Vibration of Mechanical Systems

Author: Alok Sinha

Publisher: Cambridge University Press

ISBN: 1139490796

Category: Science

Page: 324

View: 1511

This is a textbook for a first course in mechanical vibrations. There are many books in this area that try to include everything, thus they have become exhaustive compendiums, overwhelming for the undergraduate. In this book, all the basic concepts in mechanical vibrations are clearly identified and presented in a concise and simple manner with illustrative and practical examples. Vibration concepts include a review of selected topics in mechanics; a description of single-degree-of-freedom (SDOF) systems in terms of equivalent mass, equivalent stiffness, and equivalent damping; a unified treatment of various forced response problems (base excitation and rotating balance); an introduction to systems thinking, highlighting the fact that SDOF analysis is a building block for multi-degree-of-freedom (MDOF) and continuous system analyses via modal analysis; and a simple introduction to finite element analysis to connect continuous system and MDOF analyses. There are more than sixty exercise problems, and a complete solutions manual. The use of MATLAB® software is emphasized.

Introductory Course on Theory and Practice of Mechanical Vibrations

Author: J. S. Rao

Publisher: New Age International

ISBN: 9788122412154

Category: Vibration

Page: 358

View: 2826

The Book Presents The Theory Of Free, Forced And Transient Vibrations Of Single Degree, Two Degree And Multi-Degree Of Freedom, Undamped And Damped, Lumped Parameter Systems And Its Applications. Free And Forced Vibrations Of Undamped Continuous Systems Are Also Covered. Numerical Methods Like Holzers And Myklestads Are Also Presented In Matrix Form. Finite Element Method For Vibration Problem Is Also Included. Nonlinear Vibration And Random Vibration Analysis Of Mechanical Systems Are Also Presented. The Emphasis Is On Modelling Of Engineering Systems. Examples Chosen, Even Though Quite Simple, Always Refer To Practical Systems. Experimental Techniques In Vibration Analysis Are Discussed At Length In A Separate Chapter And Several Classical Case Studies Are Presented.Though The Book Is Primarily Intended For An Undergraduate Course In Mechanical Vibrations, It Covers Some Advanced Topics Which Are Generally Taught At Postgraduate Level. The Needs Of The Practising Engineers Have Been Kept In Mind Too. A Manual Giving Solutions Of All The Unsolved Problems Is Also Prepared, Which Would Be Extremely Useful To Teachers.

Theory of Vibration with Applications

Author: William Thomson

Publisher: CRC Press

ISBN: 9780748743803

Category: Technology & Engineering

Page: 560

View: 9691

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.

Mechanical Vibrations of Elastic Systems

Author: Roy

Publisher: Asian Books Private Limited

ISBN: 9788186299968

Category: Dynamics

Page: 416

View: 3054

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.

Mechanical and Structural Vibrations

Author: Demeter G. Fertis

Publisher: John Wiley & Sons

ISBN: 9780471106005

Category: Technology & Engineering

Page: 804

View: 3028

Covering the whole spectrum of vibration theory and its applications in both civil and mechanical engineering, Mechanical and Structural Vibrations provides the most comprehensive treatment of the subject currently available. Based on the author s many years of experience in both academe and industry, it is designed to function equally well as both a day–to–day working resource for practicing engineers and a superior upper–level undergraduate or graduate–level text. Features a quick–reference format that, Mechanical and Structural Vibrations gives engineers instant access to the specific theory or application they need. Saves valuable time ordinarily spent wading through unrelated or extraneous material. And, while they are thoroughly integrated throughout the text, applications to both civil and mechanical engineering are organized into sections that permit the reader to reference only the material germane to his or her field. Students and teachers will appreciate the book′s practical, real–world approach to the subject, its emphasis on simplicity and accuracy of analytical techniques, and its straightforward, step–by–step delineation of all numerical methods used in calculating the dynamics and vibrations problems, as well as the numerous examples with which the author illustrates those methods. They will also appreciate the many chapter–end practice problems (solutions appear in appendices) designed to help them rapidly develop mastery of all concepts and methods covered. Readers will find many versatile new concepts and analytical techniques not covered in other texts, including nonlinear analysis, inelastic response of structural and mechanical components of uniform and variable stiffness, the "dynamic hinge," "dynamically equivalent systems," and other breakthrough tools and techniques developed by the author and his collaborators. Mechanical and Structural Vibrations is both an excellent text for courses in structural dynamics, dynamic systems, and engineering vibration and a valuable tool of the trade for practicing engineers working in a broad range of industries, from electronic packaging to aerospace. Timely, comprehensive, practical––a superior student text and an indispensable working resource for busy engineers Mechanical and Structural Vibrations is the first text to cover the entire spectrum of vibration theory and its applications in both civil and mechanical engineering. Written by an author with over a quarter century of experience as a teacher and practicing engineer, it is designed to function equally well as a working professional resource and an upper–level undergraduate or graduate–level text for courses in structural dynamics, dynamic systems, and engineering vibrations. Mechanical and Structural Vibrations: ∗ Takes a practical, application–oriented approach to the subject ∗ Features a quick–reference format that gives busy professionals instant access to the information needed for the task at hand ∗ Walks readers, step–by–step, through the numerical methods used in calculating the dynamics and vibration problems ∗ Introduces many cutting–edge concepts and analytical tools not covered in other texts ∗ Is packed with real–world examples covering everything from the stresses and strains on buildings during an earthquake to those affecting a space craft during lift–off ∗ Contains chapter–end problems––and solutions––that help students rapidly develop mastery of all important concepts and methods covered ∗ Is extremely well–illustrated and includes more than 300 diagrams, tables, charts, illustrations, and more

Dynamics of Structures: Second Edition

Author: J. Humar

Publisher: CRC Press

ISBN: 9789058092458

Category: Technology & Engineering

Page: 996

View: 5070

This major textbook provides comprehensive coverage of the analytical tools required to determine the dynamic response of structures. The topics covered include: formulation of the equations of motion for single- as well as multi-degree-of-freedom discrete systems using the principles of both vector mechanics and analytical mechanics; free vibration response; determination of frequencies and mode shapes; forced vibration response to harmonic and general forcing functions; dynamic analysis of continuous systems;and wave propagation analysis. The key assets of the book include comprehensive coverage of both the traditional and state-of-the-art numerical techniques of response analysis, such as the analysis by numerical integration of the equations of motion and analysis through frequency domain. The large number of illustrative examples and exercise problems are of great assistance in improving clarity and enhancing reader comprehension. The text aims to benefit students and engineers in the civil, mechanical and aerospace sectors.

Elements of Mechanical Vibration

Author: R. N. Iyengar

Publisher: I. K. International Pvt Ltd

ISBN: 9380578563

Category: Vibration

Page: 288

View: 946

This is an entry level textbook To The subject of vibration of linear mechanical systems. All the topics prescribed by leading universities for study in undergraduate engineering courses are covered in the book in a graded manner. With minimum amount of mathematics, which is essential to Understand The subject, theoretical aspects are described in each chapter. The theory is illustrated by several worked examples, which features will be found attractive by teachers and students alike. After a brief introduction to Fourier series in the first chapter, free and forced vibration of single degree-of-freedom systems with and without damping is developed in the next four chapters. Two degree-of-freedom systems including vibration absorbers are studied in chapter six. The seventh chapter generalises the previous results to multiple degree-of-freedom systems. Examples are wokred out in details to illustrate the orthogonality of mode shapes, The normal mode method And The method of matrix iteration. Analysis of continuous systems such as shafts, bars and beams is presented in chapter eight. Transformations to handle general time dependent boundary condition problems are described with examples. Torsional vibration of geared systems, shaft whirling and critical speeds are discussed in chapter nine. The numerical methods of Stodola and Holzer for finding critical speeds are described with examples. The tenth chapter is devoted to understand approximate methods for finding natural frequencies and mode shapes. Rayleigh's quotient, Dunkerley's approximation are described followed by Rayleigh-Ritz and Galerkin's methods. The book ends with a short appendix to indicate how elementary result derived in chapter four on support excitation of damped springmass systems are useful in measurement of vibration.

Mechanical Vibrations: Theory and Applications, SI Edition

Author: Kelly

Publisher: Cengage Learning

ISBN: 1439062145

Category: Technology & Engineering

Page: 896

View: 1155

MECHANICAL VIBRATIONS: THEORY AND APPLICATIONS takes an applications-based approach at teaching students to apply previously learned engineering principles while laying a foundation for engineering design. This text provides a brief review of the principles of dynamics so that terminology and notation are consistent and applies these principles to derive mathematical models of dynamic mechanical systems. The methods of application of these principles are consistent with popular Dynamics texts. Numerous pedagogical features have been included in the text in order to aid the student with comprehension and retention. These include the development of three benchmark problems which are revisited in each chapter, creating a coherent chain linking all chapters in the book. Also included are learning outcomes, summaries of key concepts including important equations and formulae, fully solved examples with an emphasis on real world examples, as well as an extensive exercise set including objective-type questions. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.