Advanced Vibration Analysis

Author: S. Graham Kelly

Publisher: CRC Press

ISBN: 9780849334191

Category: Technology & Engineering

Page: 664

View: 6619

Delineating a comprehensive theory, Advanced Vibration Analysis provides the bedrock for building a general mathematical framework for the analysis of a model of a physical system undergoing vibration. The book illustrates how the physics of a problem is used to develop a more specific framework for the analysis of that problem. The author elucidates a general theory applicable to both discrete and continuous systems and includes proofs of important results, especially proofs that are themselves instructive for a thorough understanding of the result. The book begins with a discussion of the physics of dynamic systems comprised of particles, rigid bodies, and deformable bodies and the physics and mathematics for the analysis of a system with a single-degree-of-freedom. It develops mathematical models using energy methods and presents the mathematical foundation for the framework. The author illustrates the development and analysis of linear operators used in various problems and the formulation of the differential equations governing the response of a conservative linear system in terms of self-adjoint linear operators, the inertia operator, and the stiffness operator. The author focuses on the free response of linear conservative systems and the free response of non-self-adjoint systems. He explores three method for determining the forced response and approximate methods of solution for continuous systems. The use of the mathematical foundation and the application of the physics to build a framework for the modeling and development of the response is emphasized throughout the book. The presence of the framework becomes more important as the complexity of the system increases. The text builds the foundation, formalizes it, and uses it in a consistent fashion including application to contemporary research using linear vibrations.

Vibrations and Stability

Advanced Theory, Analysis, and Tools

Author: Jon Juel Thomsen

Publisher: Springer Science & Business Media

ISBN: 3662107937

Category: Technology & Engineering

Page: 404

View: 6465

An ideal text for students that ties together classical and modern topics of advanced vibration analysis in an interesting and lucid manner. It provides students with a background in elementary vibrations with the tools necessary for understanding and analyzing more complex dynamical phenomena that can be encountered in engineering and scientific practice. It progresses steadily from linear vibration theory over various levels of nonlinearity to bifurcation analysis, global dynamics and chaotic vibrations. It trains the student to analyze simple models, recognize nonlinear phenomena and work with advanced tools such as perturbation analysis and bifurcation analysis. Explaining theory in terms of relevant examples from real systems, this book is user-friendly and meets the increasing interest in non-linear dynamics in mechanical/structural engineering and applied mathematics and physics. This edition includes a new chapter on the useful effects of fast vibrations and many new exercise problems.

Structural Vibration

Exact Solutions for Strings, Membranes, Beams, and Plates

Author: C.Y. Wang,C.M. Wang

Publisher: CRC Press

ISBN: 1466576855

Category: Technology & Engineering

Page: 307

View: 2884

Structural Vibration: Exact Solutions for Strings, Membranes, Beams, and Plates offers an introduction to structural vibration and highlights the importance of the natural frequencies in design. It focuses on free vibrations for analysis and design of structures and machine and presents the exact vibration solutions for strings, membranes, beams, and plates. This book emphasizes the exact solutions for free transverse vibration of strings, membranes, beams, and plates. It explains the intrinsic, fundamental, and unexpected features of the solutions in terms of known functions as well as solutions determined from exact characteristic equations. The book provides: A single-volume resource for exact solutions of vibration problems in strings, membranes, beams, and plates A reference for checking vibration frequency values and mode shapes of structural problems Governing equations and boundary conditions for vibration of structural elements Analogies of vibration problems Structural Vibration: Exact Solutions for Strings, Membranes, Beams, and Plates provides practicing engineers, academics, and researchers with a reference for data on a specific structural member as well as a benchmark standard for numerical or approximate analytical methods.

Advanced Theory of Vibration

(nonlinear Vibration and One Dimensional Structures)

Author: J. S. Rao

Publisher: New Age International

ISBN: 9788122404425

Category: Nonlinear oscillations

Page: 431

View: 7928

The Theory Of Vibration - Particularly Advanced Theory - Is Scattered Over A Large Number Of Publications Relating To Different Disciplines. What Has Been Attempted In The Present Book Is A Comprehensive Consolidation Of Them And Its Presentation In A Concise Manner For The Benefit Of Those Aspiring To Specialise In Vibration Studies At Postgraduate And Doctoral Level. The Contents Of This Book Have Got Crystallised Over A Period Of 25 Years While Teaching And Guiding Doctoral Level Research. The Emphasis In This Book Is On Analysis Of Continuous Rather Than Discrete System Models. A Concise Treatment Of Variational Principles And Their Application To Vibration Problems Is Given Next. Vibration Theories Of Viscoelastic Materials In Longitudinal Vibration And Lateral Vibration Are Also Considered At Length.Solutions To Problems Of Free And Forced Vibrations Are Presented. The Book Seeks To Explain To Students A Large Variety Of Problems Of One-Dimensional Structures.

Special Topics in Structural Dynamics, Volume 6

Proceedings of the 32nd IMAC, A Conference and Exposition on Structural Dynamics, 2014

Author: Gary Foss,Christopher Niezrecki

Publisher: Springer Science & Business

ISBN: 3319047299

Category: Technology & Engineering

Page: 427

View: 1118

This sixth volume of eight from the IMAC - XXXII Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Linear Systems Substructure Modelling Adaptive Structures Experimental Techniques Analytical Methods Damage Detection Damping of Materials & Members Modal Parameter Identification Modal Testing Methods System Identification Active Control Modal Parameter Estimation Processing Modal Data

Engineering Vibration Analysis

Worked Problems 1

Author: Valery A. Svetlitsky

Publisher: Springer Science & Business Media

ISBN: 354040970X

Category: Science

Page: 322

View: 7420

Theory of vibrations belongs to principal subjects needed for training mechani cal engineers in technological universities. Therefore, the basic goal of the mono graph "Advanced Theory of Vibrations 1" is to help students studying vibration theory for gaining experience in application of this theory for solving particular problems. Thus, while choosing the problems and methods to solve them, the close attention was paid to the applied content of vibration theory. The monograph is devoted to systems with a single degree of freedom and sys tems with a finite number of degrees of freedom. In particular, problems are for mulated associated with determination of frequencies and forms of vibrations, study of forced vibrations, analysis of both stable and unstable vibrations (includ ing those caused by periodic but anharmonic forces). The problems of nonlinear vibrations and of vibration stability, and those related to seeking probabilistic characteristics for solutions to these problems in the case of random forces are also considered. Problems related to parametric vibrations and statistical dynamics of mechanical systems, as well as to determination of critical parameters and of dy namic stability are also analyzed. As a rule, problems presented in the monograph are associated with particular mechanical systems and can be applied for current studies in vibration theory. Al lowing for interests of students independently studying theory of vibrations, the majority of problems are supplied with either detailed solutions or algorithms of the solutions.

Mechanical Tolerance Stackup and Analysis, Second Edition

Author: Bryan R. Fischer

Publisher: CRC Press

ISBN: 1439863253

Category: Technology & Engineering

Page: 508

View: 3985

Use Tolerance Analysis Techniques to Avoid Design, Quality, and Manufacturing Problems Before They Happen Often overlooked and misunderstood, tolerance analysis is a critical part of improving products and their design processes. Because all manufactured products are subject to variation, it is crucial that designers predict and understand how these changes can affect form, fit, and function of parts and assemblies—and then communicate their findings effectively. Written by one of the developers of ASME Y14.5 and other geometric dimension and tolerancing (GD&T) standards, Mechanical Tolerance Stackup and Analysis, Second Edition offers an overview of techniques used to assess and convey the cumulative effects of variation on the geometric relationship between part and assembly features. The book focuses on some key components: it explains often misunderstood sources of variation and how they contribute to this deviation in assembled products, as well as how to model that variation in a useful manner. New to the Second Edition: Explores ISO and ASME GD&T standards—including their similarities and differences Covers new concepts and content found in ASME Y14.5-2009 standard Introduces six-sigma quality and tolerance analysis concepts Revamps figures throughout The book includes step-by-step procedures for solving tolerance analysis problems on products defined with traditional plus/minus tolerancing and GD&T. This helps readers understand potential variations, set up the problem, achieve the desired solution, and clearly communicate the results. With added application examples and features, this comprehensive volume will help design engineers enhance product development and safety, ensuring that parts and assemblies carry out their intended functions. It will also help manufacturing, inspection, assembly, and service personnel troubleshoot designs, verify that in-process steps meet objectives, and find ways to improve performance and reduce costs.

Vibration Analysis of Rotors

Author: Chong-Won Lee

Publisher: Springer Science & Business Media

ISBN: 9401581738

Category: Technology & Engineering

Page: 315

View: 6825

This text is intended for use as an advanced course in either rotordynamics or vibration at the graduate level. This text has mostly grown out of the research work in my laboratory and the lectures given to graduate students in the Mechanical Engineering Department, KAIST. The text contains a variety of topics not normally found in rotordynamics or vibration textbooks. The text emphasizes the analytical aspects and is thus quite different from conventional rotordynamics texts; potential readers are expected to have a firm background in elementary rotordynamics and vibration. In most previously published rotordynamics texts, the behavior of simple rotors has been of a primary concern, while more realistic, multi-degree-f-freedom or continuous systems are seldom treated in a rigorous way, mostly due to the difficulty of a mathematical treatment of such complicated systems. When one wanted to gain a deep insight into dynamic phenomena of complicated rotor systems, one has, in the past, either had to rely on computational techniques, such as the transfer matrix and finite element methods, or cautiously to extend ideas learned from simple rotors whose analytical solutions are readily available. The former methods are limited in the interpretation of results, since the calculations relate only to the simulated case, not to more general system behavior. Ideas learned from simple rotors can, fortunately, often be extended to many practical rotor systems, but there is of course no guarantee of their validity.

Mechanical Vibration

Analysis, Uncertainties and Control, Second Edition

Author: Haym Benaroya

Publisher: CRC Press

ISBN: 9780824753801

Category: Technology & Engineering

Page: 744

View: 438

An effective text must be well balanced and thorough in its approach to a topic as expansive as vibration, and Mechanical Vibration is just such a textbook. Written for both senior undergraduate and graduate course levels, this updated and expanded second edition integrates uncertainty and control into the discussion of vibration, outlining basic concepts before delving into the mathematical rigors of modeling and analysis. Mechanical Vibration: Analysis, Uncertainties, and Control, Second Edition provides example problems, end-of-chapter exercises, and an up-to-date set of mini-projects to enhance students' computational abilities and includes abundant references for further study or more in-depth information. The author provides a MATLAB® primer on an accompanying CD-ROM, which contains original programs that can be used to solve complex problems and test solutions. The book is self-contained, covering both basic and more advanced topics such as stochastic processes and variational approaches. It concludes with a completely new chapter on nonlinear vibration and stability. Professors will find that the logical sequence of material is ideal for tailoring individualized syllabi, and students will benefit from the abundance of problems and MATLAB programs provided in the text and on the accompanying CD-ROM, respectively. A solutions manual is also available with qualifying course adoptions.

Mechanical Vibration Analysis and Computation

Author: D. E. Newland

Publisher: Courier Corporation

ISBN: 0486317722

Category: Science

Page: 608

View: 1252

Focusing on applications rather than rigorous proofs, this volume is suitable for upper-level undergraduates and graduate students concerned with vibration problems. In addition, it serves as a practical handbook for performing vibration calculations. An introductory chapter on fundamental concepts is succeeded by explorations of frequency response of linear systems and general response properties, matrix analysis, natural frequencies and mode shapes, singular and defective matrices, and numerical methods for modal analysis. Additional topics include response functions and their applications, discrete response calculations, systems with symmetric matrices, continuous systems, and parametric and nonlinear effects. The text is supplemented by extensive appendices and answers to selected problems. This volume functions as a companion to the author's introductory volume on random vibrations (see below). Each text can be read separately; and together, they cover the entire field of mechanical vibrations analysis, including random and nonlinear vibrations and digital data analysis.

Noise and Vibration Analysis

Signal Analysis and Experimental Procedures

Author: Anders Brandt

Publisher: John Wiley & Sons

ISBN: 9780470978115

Category: Technology & Engineering

Page: 464

View: 491

Noise and Vibration Analysis is a complete and practical guide that combines both signal processing and modal analysis theory with their practical application in noise and vibration analysis. It provides an invaluable, integrated guide for practicing engineers as well as a suitable introduction for students new to the topic of noise and vibration. Taking a practical learning approach, Brandt includes exercises that allow the content to be developed in an academic course framework or as supplementary material for private and further study. Addresses the theory and application of signal analysis procedures as they are applied in modern instruments and software for noise and vibration analysis Features numerous line diagrams and illustrations Accompanied by a web site at www.wiley.com/go/brandt with numerous MATLAB tools and examples. Noise and Vibration Analysis provides an excellent resource for researchers and engineers from automotive, aerospace, mechanical, or electronics industries who work with experimental or analytical vibration analysis and/or acoustics. It will also appeal to graduate students enrolled in vibration analysis, experimental structural dynamics, or applied signal analysis courses.

Theory of Vibration with Applications

Author: William Thomson

Publisher: CRC Press

ISBN: 9780748743803

Category: Technology & Engineering

Page: 560

View: 3490

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 of Continuous Systems

Author: Singiresu S. Rao

Publisher: John Wiley & Sons

ISBN: 0471771716

Category: Science

Page: 720

View: 5279

"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.

Blast Vibration Analysis

Author: G. A. Bollinger

Publisher: Courier Dover Publications

ISBN: 0486832570

Category: Technology & Engineering

Page: 160

View: 7271

This volume focuses on the origin, transmission, and types of elastic waves in solid media, covering the physical laws involved in wave analysis and the mathematical methods for analyzing wave phenomena. 1971 edition.

Fundamentals of Vibration Analysis

Author: Nils O. Myklestad

Publisher: Courier Dover Publications

ISBN: 048682411X

Category: Technology & Engineering

Page: 272

View: 1753

This concise textbook discusses vibration problems in engineering, dealing with systems of one and more than one degrees of freedom. A substantial section of Answers to Problems is included. 1956 edition.