Free Vibrations of Beams and Frames

Free Vibrations of Beams and Frames

Author: Igorʹ Alekseevich Karnovskiĭ

Publisher: McGraw Hill Professional

Published: 2004

Total Pages: 302

ISBN-13: 9780071431897

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Vibration problems in beams and frames can lead to catastrophic structural collapse. This detailed monograph provides classical beam theory equations, calculation procedures, dynamic analysis of beams and frames, and analytical and numerical results. It covers: classical beam theory equations; dynamical analysis of beams and frames special functions; and, beams with classical and elastic support.


Vibration of Continuous Systems

Vibration of Continuous Systems

Author: Singiresu S. Rao

Publisher: John Wiley & Sons

Published: 2019-03-06

Total Pages: 816

ISBN-13: 1119424143

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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 Analysis

Vibration Analysis

Author: Rao V. Dukkipati

Publisher: Alpha Science Int'l Ltd.

Published: 2004

Total Pages: 1022

ISBN-13: 9781842651681

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Discusses in a concise but through manner fundamental statement of the theory, principles and methods of mechanical vibrations.


Handbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories

Handbook On Timoshenko-ehrenfest Beam And Uflyand- Mindlin Plate Theories

Author: Isaac E Elishakoff

Publisher: World Scientific

Published: 2019-10-29

Total Pages: 798

ISBN-13: 9813236531

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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)


Analysis and Design of Plated Structures

Analysis and Design of Plated Structures

Author: N.E. Shanmugam

Publisher: Elsevier

Published: 2007-02-14

Total Pages: 497

ISBN-13: 1845692292

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Plated structures are widely used in many engineering constructions ranging from aircraft to ships and from off-shore structures to bridges and buildings. Given their diverse use in severe dynamic loading environments, it is vital that their dynamic behaviour is analysed and understood. Analysis and design of plated structures Volume 2: Dynamics provides a concise review of the most recent research in the area and how it can be applied in the field.The book discusses the modelling of plates for effects such as transverse shear deformation and rotary inertia, assembly of plates in forming thin-walled members, and changing material properties in composite, laminated and functionally graded plates. Various recent techniques for linear and nonlinear vibration analysis are also presented and discussed. The book concludes with a hybrid strategy suitable for parameter identification of plated structures and hydroelastic analysis of floating plated structures.With its distinguished editors and team of international contributors, Analysis and design of plated structures Volume 2: Dynamics is an invaluable reference source for engineers, researchers and academics involved in the analysis and design of plated structures. It also provides a companion volume to Analysis and design of plated structures Volume 1: Stability. - The second of two volumes on plated structures - Provides a concise review of the most recent research in the research of plated structures - Discusses modelling of plates for specific effects


Mechanical Vibration Analysis and Computation

Mechanical Vibration Analysis and Computation

Author: D. E. Newland

Publisher: Courier Corporation

Published: 2013-04-26

Total Pages: 612

ISBN-13: 0486317722

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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.


Nonlinear Vibrations of Cantilever Beams and Plates

Nonlinear Vibrations of Cantilever Beams and Plates

Author: Mohammad Amin Rashidifar

Publisher: Anchor Academic Publishing (aap_verlag)

Published: 2015-05-12

Total Pages: 143

ISBN-13: 3954899205

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Many engineering problems can be solved using a linear approximation. In the Finite Element Analysis (FEA) the set of equations, describing the structural behaviour is then linear K d = F (1.1) In this matrix equation, K is the stiffness matrix of the structure, d is the nodal displacements vector and F is the external nodal force vector. Characteristics of linear problems is that the displacements are proportional to the loads, the stiffness of the structure is independent on the value of the load level. Though behaviour of real structures is nonlinear, e.g. displacements are not proportional to the loads; nonlinearities are usually unimportant and may be neglected in most practical problems.


Formulas for Dynamics, Acoustics and Vibration

Formulas for Dynamics, Acoustics and Vibration

Author: Robert D. Blevins

Publisher: John Wiley & Sons

Published: 2016-05-03

Total Pages: 464

ISBN-13: 1119038219

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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.


Flow-Induced Vibration Handbook for Nuclear and Process Equipment

Flow-Induced Vibration Handbook for Nuclear and Process Equipment

Author: Michel J. Pettigrew

Publisher: John Wiley & Sons

Published: 2021-10-29

Total Pages: 498

ISBN-13: 1119810981

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Explains the mechanisms governing flow-induced vibrations and helps engineers prevent fatigue and fretting-wear damage at the design stage Fatigue or fretting-wear damage in process and plant equipment caused by flow-induced vibration can lead to operational disruptions, lost production, and expensive repairs. Mechanical engineers can help prevent or mitigate these problems during the design phase of high capital cost plants such as nuclear power stations and petroleum refineries by performing thorough flow-induced vibration analysis. Accordingly, it is critical for mechanical engineers to have a firm understanding of the dynamic parameters and the vibration excitation mechanisms that govern flow-induced vibration. Flow-Induced Vibration Handbook for Nuclear and Process Equipment provides the knowledge required to prevent failures due to flow-induced vibration at the design stage. The product of more than 40 years of research and development at the Canadian Nuclear Laboratories, this authoritative reference covers all relevant aspects of flow-induced vibration technology, including vibration failures, flow velocity analysis, vibration excitation mechanisms, fluidelastic instability, periodic wake shedding, acoustic resonance, random turbulence, damping mechanisms, and fretting-wear predictions. Each in-depth chapter contains the latest available lab data, a parametric analysis, design guidelines, sample calculations, and a brief review of modelling and theoretical considerations. Written by a group of leading experts in the field, this comprehensive single-volume resource: Helps readers understand and apply techniques for preventing fatigue and fretting-wear damage due to flow-induced vibration at the design stage Covers components including nuclear reactor internals, nuclear fuels, piping systems, and various types of heat exchangers Features examples of vibration-related failures caused by fatigue or fretting-wear in nuclear and process equipment Includes a detailed overview of state-of-the-art flow-induced vibration technology with an emphasis on two-phase flow-induced vibration Covering all relevant aspects of flow-induced vibration technology, Flow-Induced Vibration Handbook for Nuclear and Process Equipment is required reading for professional mechanical engineers and researchers working in the nuclear, petrochemical, aerospace, and process industries, as well as graduate students in mechanical engineering courses on flow-induced vibration.