Download or read book Vibrations of Hollow Elastic Bodies written by Magomed F. Mekhtiev and published by Springer. This book was released on 2018-02-02 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the justification and refinement of highly diverse approximate dynamic models for engineering structures arising in modern technology, including high-tech domains involving nano- and meta-materials. It proposes a classification for vibration spectra over a broad frequency domain and evaluates the range of validity of various existing 2D theories for thin-walled shells by comparing them with 3D benchmark solutions. The dynamic equations in 3D elasticity are applied to the analysis of harmonic vibrations in hollow bodies with canonical shapes. New exact homogeneous and inhomogeneous solutions are derived for cylinders, spheres and cones (including spherical and conical layers), as well as for plates of variable thickness. The book includes a wealth of numerical examples, as well as refined versions of 2D dynamic formulations. Boundary value problems for hollow bodies are also addressed.

Download or read book Three dimensional Vibration Analysis of Elastic Bodies of Revolution written by Jinyoung So and published by . This book was released on 1993 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Three dimensional Vibration Analysis of Elastic Bodies of Revolution written by and published by . This book was released on 1996 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Approximate Theory for the Vibrations of Hollow Elastic Rods written by Hugh D. McNiven and published by . This book was released on 1965 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Stress Analysis and Vibrations of Elastic Bodies written by Terance V. Duggan and published by . This book was released on 1965 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Stress Analysis and Vibrations of Elastic Bodies written by Duggan TV. and published by . This book was released on 1964 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Stress analysis and vibrations of elastic bodies written by Terance Vincent Duggan and published by . This book was released on 1964 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Vibrations of Free Hollow Circular Cylindrical Bodies written by Sanusi Abdelwahab El-Azhari and published by . This book was released on 1984 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On the Vibration of Elastic Bodies Having Time dependent Boundary Conditions written by J. G. BERRY and published by . This book was released on 1955 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Asymptotic Analysis of Spatial Problems in Elasticity written by Magomed F. Mekhtiev and published by Springer. This book was released on 2018-11-11 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents homogeneous solutions in static and dynamical problems of anisotropic theory of elasticity, which are constructed for a hollow cylinder. It also offers an asymptotic process for finding frequencies of natural vibrations of a hollow cylinder, and establishes a qualitative study of several applied theories of the boundaries of applicability. Further the authors develop a general theory for a transversally isotropic spherical shell, which includes methods for constructing inhomogeneous and homogeneous solutions that allow the characteristic features of the stress–strain state of an anisotropic spherical shell to be revealed. Lastly, the book introduces an asymptotic method for integrating the equations of anisotropic theory of elasticity in variable thickness plates and shells. Based on the results of the author and researchers at Baku State University and the Institute of Mathematics and Mechanics, ANAS, the book is intended for specialists in the field of theory of elasticity, theory of plates and shells, and applied mathematics.

Download or read book Handbook On Timoshenko ehrenfest Beam And Uflyand Mindlin Plate Theories written by Isaac E Elishakoff and published by World Scientific. This book was released on 2019-10-29 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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)

Download or read book Vibrations of Elastic Bodies of Revolution Containing Imperfections written by Stephen Albert Tobias and published by . This book was released on 1950 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book On the Vibrations of Elastic Bodies in the Presence of Rigid Body Motion written by Ronald Lee Huston and published by . This book was released on 1962 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Vibrations of a Hollow Elastic Cylinder Bonded to a Thin Casing of a Different Material written by Vasant S. Kelkar and published by . This book was released on 1967 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Vibrations of rigid bodies on elastic media written by Ayodele Olutuminu Awojobi and published by . This book was released on 1965 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Forced Vibrations of an Elastic Circular Cylindrical Body of Finite Length Submerged in an Acoustic Fluid written by MELVIN L. BARON and published by . This book was released on 1962 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of a study on the development of methods for treating the forced vibrations of elastic bodies of revolution submerged in an acoustic fluid is described. Specifically, the pressure and velocity fields which are produced in the fluid by the harmonic excitation of an elastic circular cylindrical body of finite length, are evaluated; the elastic cylinder is solid. A potential theory approach is used. The stresses and velocities in an elastic cylinder of finite length can be expressed in terms of 3 potential functions, each of which satisfies the wave equation. Similarly, the corresponding quantitites in the fluid can be expressed in terms of a single fluid pot ntial which also satisfies the wave equation. Consequently, each of the 4 potential functions can be considered to be caused by a group of sources of unknown strength distributed over the boundaries of the elastic body and the fluid surface. Using essentially a finite difference approach, the boundaries of both the cyli drical body and the fluid are divided into a series of bands on which each of the unknown source strengths is considered to be constant over the band. Conditions on the stresses and velocities at the fluid-elastic body interface lead to a system of simultaneous linear algebraic equations on the source strengths. (Author).

Download or read book The Shock and Vibration Bulletin written by and published by . This book was released on 1967 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt: