Vibration of Continuous Systems

  • Filename: vibration-of-continuous-systems.
  • ISBN: 9780471771715
  • Release Date: 2007-02-09
  • Number of pages: 720
  • Author: Singiresu S. Rao
  • Publisher: John Wiley & Sons



"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 Continuous Systems

  • Filename: vibration-of-continuous-systems.
  • ISBN: 9780071714808
  • Release Date: 2011-04-22
  • Number of pages: 528
  • Author: Arthur W. Leissa
  • Publisher: McGraw Hill Professional



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

Vibration of Discrete and Continuous Systems

  • Filename: vibration-of-discrete-and-continuous-systems.
  • ISBN: 9781461240365
  • Release Date: 2012-12-06
  • Number of pages: 396
  • Author: Ahmed Shabana
  • Publisher: Springer Science & Business Media



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.

Vibrations and Waves in Continuous Mechanical Systems

  • Filename: vibrations-and-waves-in-continuous-mechanical-systems.
  • ISBN: 0470518421
  • Release Date: 2007-10-22
  • Number of pages: 396
  • Author: Peter Hagedorn
  • Publisher: John Wiley & Sons



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

  • Filename: vibrations-dynamics-and-structural-systems-2nd-edition.
  • ISBN: 9058092216
  • Release Date: 2000-01-01
  • Number of pages: 600
  • Author: Madhujit Mukhopadhyay
  • Publisher: CRC Press



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.

Theory of Vibration with Applications

  • Filename: theory-of-vibration-with-applications.
  • ISBN: 0748743804
  • Release Date: 1996-02-01
  • Number of pages: 560
  • Author: William Thomson
  • Publisher: CRC Press



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.

Vibration and Coupling of Continuous Systems

  • Filename: vibration-and-coupling-of-continuous-systems.
  • ISBN: 9783642737824
  • Release Date: 2012-12-06
  • Number of pages: 421
  • Author: Jacqueline Sanchez Hubert
  • Publisher: Springer Science & Business Media



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.

Vibration of Mechanical Systems

  • Filename: vibration-of-mechanical-systems.
  • ISBN: 9781139490795
  • Release Date: 2010-10-18
  • Number of pages: 324
  • Author: Alok Sinha
  • Publisher: Cambridge University Press



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.

Mechanical Vibrations Theory and Applications SI Edition

  • Filename: mechanical-vibrations-theory-and-applications-si-edition.
  • ISBN: 9781439062142
  • Release Date: 2011-04-15
  • Number of pages: 896
  • Author: S. Graham Kelly
  • Publisher: Cengage Learning



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.

Vibration Dynamics and Control

  • Filename: vibration-dynamics-and-control.
  • ISBN: 9780387795799
  • Release Date: 2008-12-17
  • Number of pages: 856
  • Author: Giancarlo Genta
  • Publisher: Springer Science & Business Media



Mechanical engineering,and engineering discipline born 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 p- found issues of productivity and competitiveness that require engineering solutions, among others. The Mechanical Engineering Series is a series f- turing graduate texts and research monographs intended to address the need for information in contemporary areas of mechanical engineering. The series is conceived as a comprehensive one that covers a broad range of concentrations important to mechanical engineering graduate - ucation and research. We are fortunate to have a distinguished roster of series editors, each an expert in one of the areas of concentration. The names of the series editors are listed on page vi of this volume. The areas of concentration are applied mechanics, biomechanics, computational - chanics, dynamic systems and control, energetics, mechanics of materials, processing, thermal science, and tribology. Preface After15yearssincethepublicationofVibrationofStructuresandMachines and three subsequent editions a deep reorganization and updating of the material was felt necessary. This new book on the subject of Vibration dynamics and control is organized in a larger number of shorter chapters, hoping that this can be helpful to the reader. New materialhas been added and many points have been updated. A larger number of examples and of exercises have been included.

Elements of Mechanical Vibration

  • Filename: elements-of-mechanical-vibration.
  • ISBN: 9789380578569
  • Release Date: 2010-08-01
  • Number of pages: 288
  • Author: R. N. Iyengar
  • Publisher: I. K. International Pvt Ltd



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.

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