vibration of continuous systems

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Vibration Of Continuous Systems

Author : Singiresu S Rao
ISBN : 9781119424147
Genre : Technology & Engineering
File Size : 52. 66 MB
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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 Of Continuous Systems

Author : Arthur W. Leissa
ISBN : 9780071714808
Genre : Technology & Engineering
File Size : 25. 92 MB
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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

Author : Ahmed Shabana
ISBN : 9781461240365
Genre : Technology & Engineering
File Size : 74. 28 MB
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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 Of Continuous Systems

Author : Eberhard Brommundt
ISBN : 9783709129180
Genre : Science
File Size : 83. 51 MB
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Dynamics Of Structures Second Edition

Author : J. Humar
ISBN : 9058092453
Genre : Technology & Engineering
File Size : 78. 89 MB
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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.

Mechanical And Structural Vibrations

Author : Demeter G. Fertis
ISBN : 0471106003
Genre : Technology & Engineering
File Size : 64. 9 MB
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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

Vibrations Dynamics And Structural Systems 2nd Edition

Author : Madhujit Mukhopadhyay
ISBN : 9058092216
Genre : Technology & Engineering
File Size : 30. 67 MB
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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.

Vibrations And Waves In Continuous Mechanical Systems

Author : Peter Hagedorn
ISBN : 0470518421
Genre : Science
File Size : 71. 29 MB
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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.

Piezoelectric Based Vibration Control

Author : Nader Jalili
ISBN : 1441900705
Genre : Technology & Engineering
File Size : 39. 27 MB
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“Piezoelectric-Based Vibration-control Systems: Applications in Micro/Nano Sensors and Actuators” covers: Fundamental concepts in smart (active) materials including piezoelectric and piezoceramics, magnetostrictive, shape-memory materials, and electro/magneto-rheological fluids; Physical principles and constitutive models of piezoelectric materials; Piezoelectric sensors and actuators; Fundamental concepts in mechanical vibration analysis and control with emphasis on distributed-parameters and vibration-control systems; and Recent advances in piezoelectric-based microelectromechanical and nanoelectromechanical systems design and implementation.

Vibration And Stability Of Continuous Systems

Author : Kai Wu
ISBN : OCLC:1060612305
Genre :
File Size : 81. 6 MB
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Parametric instability in a system is caused by periodically varying coefficients in its governing differential equations. Parametric instability regions of a second-order non-dispersive distributed structural system in this work are obtained using the wave solution and the fixed point theory without spatially discretizing the governing partial differential equation. The parametric instability regions are classified as period-1 and period-i (i>1) instability regions, where the former is analytically obtained, and the latter can be numerically calculated using bifurcation diagrams. The parametric instability phenomenon is characterized by a bounded displacement and an unbounded vibratory energy, due to formation of infinitely compressed shock-like waves. Parametric instability in a taut string with a periodically moving boundary is then investigated. The free linear vibration of the taut string is studied first, and three corresponding nonlinear models are introduced next. It is shown that the responses and vibratory energies of the nonlinear models are close to those of the linear model, which indicates that the parametric instability in the linear model can also exist in the nonlinear models.

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