Shear and Rotary Inertia Effects on Beam Vibrations PDF Download
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Author: Ralph Carl Leibowitz
Publisher:
ISBN:
Category : Hulls (Naval architecture)
Languages : en
Pages : 30
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Book Description
The effects of shear rigidity and rotary inertia on a vibrrating uniform free-free beam are analyzed in order to throw light on the vibration of a ship hull represented by a moderately nonuniform beam. A simple first-order approximation is devised for use in calculating several modes of vibration of a slender beam (small height-tolength-ratio) which includes these important effects. (Author).
Author: Ralph Carl Leibowitz
Publisher:
ISBN:
Category : Hulls (Naval architecture)
Languages : en
Pages : 30
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Book Description
The effects of shear rigidity and rotary inertia on a vibrrating uniform free-free beam are analyzed in order to throw light on the vibration of a ship hull represented by a moderately nonuniform beam. A simple first-order approximation is devised for use in calculating several modes of vibration of a slender beam (small height-tolength-ratio) which includes these important effects. (Author).
Author: Singiresu S. Rao
Publisher: John Wiley & Sons
ISBN: 1119424143
Category : Technology & Engineering
Languages : en
Pages : 816
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Book Description
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.
Author: Madhujit Mukhopadhyay
Publisher: CRC Press
ISBN: 9789058092212
Category : Technology & Engineering
Languages : en
Pages : 612
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Book Description
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.
Author: United States. National Advisory Committee for Aeronautics
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 854
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Book Description
Author: Vladimir Stojanović
Publisher: Springer
ISBN: 3319137670
Category : Technology & Engineering
Languages : en
Pages : 170
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Book Description
This book reports on solved problems concerning vibrations and stability of complex beam systems. The complexity of a system is considered from two points of view: the complexity originating from the nature of the structure, in the case of two or more elastically connected beams; and the complexity derived from the dynamic behavior of the system, in the case of a damaged single beam, resulting from the harm done to its simple structure. Furthermore, the book describes the analytical derivation of equations of two or more elastically connected beams, using four different theories (Euler, Rayleigh, Timoshenko and Reddy-Bickford). It also reports on a new, improved p-version of the finite element method for geometrically nonlinear vibrations. The new method provides more accurate approximations of solutions, while also allowing us to analyze geometrically nonlinear vibrations. The book describes the appearance of longitudinal vibrations of damaged clamped-clamped beams as a result of discontinuity (damage). It describes the cases of stability in detail, employing all four theories, and provides the readers with practical examples of stochastic stability. Overall, the book succeeds in collecting in one place theoretical analyses, mathematical modeling and validation approaches based on various methods, thus providing the readers with a comprehensive toolkit for performing vibration analysis on complex beam systems.
Author: J. S. Rao
Publisher: John Wiley & Sons
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 454
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Book Description
Addresses analytical and graphical methods, numerical techniques and stability analysis in a comprehensive manner with engineering examples at various stages in the text. Discusses the development of diverse theories, outlining the latest refinements to classical theories of bars, rods and beams. Features a number of case studies regarding axial vibration (including viscoelastic members) and torsional vibrations of noncircular cross section rods. Contains extensive coverage of lateral vibration of beams, Coriolis effects, nonlinear vibrations, pretwisted and sandwiched beams and much more.
Author: United States. National Advisory Committee for Aeronautics
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 348
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Book Description
Author: Ronald L Huston
Publisher: SAE International
ISBN: 076803339X
Category : Science
Languages : en
Pages : 566
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Book Description
This book, written for practicing engineers, designers, researchers, and students, summarizes basic vibration theory and established methods for analyzing vibrations. Principles of Vibration Analysis goes beyond most other texts on this subject, as it integrates the advances of modern modal analysis, experimental testing, and numerical analysis with fundamental theory. No other book brings all of these topics together under one cover. The authors have compiled these topics, compared them, and provided experience with practical application. This must-have book is a comprehensive resource that the practitioner will reference time and again.
Author: Isaac E Elishakoff
Publisher: World Scientific
ISBN: 9813236531
Category : Technology & Engineering
Languages : en
Pages : 798
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Book Description
The refined theory of beams, which takes into account both rotary inertia and shear deformation, was developed jointly by Timoshenko and Ehrenfest in the years 1911-1912. In over a century since the theory was first articulated, tens of thousands of studies have been performed utilizing this theory in various contexts. Likewise, the generalization of the Timoshenko-Ehrenfest beam theory to plates was given by Uflyand and Mindlin in the years 1948-1951.The importance of these theories stems from the fact that beams and plates are indispensable, and are often occurring elements of every civil, mechanical, ocean, and aerospace structure.Despite a long history and many papers, there is not a single book that summarizes these two celebrated theories. This book is dedicated to closing the existing gap within the literature. It also deals extensively with several controversial topics, namely those of priority, the so-called 'second spectrum' shear coefficient, and other issues, and shows vividly that the above beam and plate theories are unnecessarily overcomplicated.In the spirit of Einstein's dictum, 'Everything should be made as simple as possible but not simpler,' this book works to clarify both the Timoshenko-Ehrenfest beam and Uflyand-Mindlin plate theories, and seeks to articulate everything in the simplest possible language, including their numerous applications.This book is addressed to graduate students, practicing engineers, researchers in their early career, and active scientists who may want to have a different look at the above theories, as well as readers at all levels of their academic or scientific career who want to know the history of the subject. The Timoshenko-Ehrenfest Beam and Uflyand-Mindlin Plate Theories are the key reference works in the study of stocky beams and thick plates that should be given their due and remain important for generations to come, since classical Bernoulli-Euler beam and Kirchhoff-Love theories are applicable for slender beams and thin plates, respectively.Related Link(s)
Author: Robert D. Blevins
Publisher: John Wiley & Sons
ISBN: 1119038219
Category : Technology & Engineering
Languages : en
Pages : 464
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Book Description
With Over 60 tables, most with graphic illustration, and over 1000 formulas, Formulas for Dynamics, Acoustics, and Vibration will provide an invaluable time-saving source of concise solutions for mechanical, civil, nuclear, petrochemical and aerospace engineers and designers. Marine engineers and service engineers will also find it useful for diagnosing their machines that can slosh, rattle, whistle, vibrate, and crack under dynamic loads.
