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Rotating Shell Dynamics

Author : Hua Li
Publisher : Elsevier
Page : 283 pages
File Size : 11,18 MB
Release : 2005-01-19
Category : Technology & Engineering
ISBN : 0080455697

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There are numerous engineering applications for high-speed rotating structures which rotate about their symmetric axes. For example, free-flight sub-munition projectiles rotate at high speeds in order to achieve an aerodynamically-stable flight. This is the first book of its kind to provide a comprehensive and systematic description of rotating shell dynamics. It not only provides the basic derivation of the dynamic governing equations for rotating shells, but documents benchmark results for free vibration, critical speed and parametric resonance. It is written in a simple and clear manner making it accessible both the expert and graduate student. The first monograph to provide a detailed description of rotating shell dynamics Dynamic problems such as free vibration and dynamic stability are examined in detail, for basic shells of revolutions

Dynamics of Rotating Shells

Author : Alexander Polunin
Publisher : LAP Lambert Academic Publishing
Page : 156 pages
File Size : 33,87 MB
Release : 2011-10
Category :
ISBN : 9783846522158

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The given book is devoted to the solution of the problem which almost doesn't have any researches. It is also devoted to the research of dynamics of shells rotating on supports. These constructions are widely used in different branches of industry, and on the stage of designing the mathematical means are necessary for the analysis of their behavior. In the monograph the author presented theoretical bases of mathematical modeling of dynamics of shells rotating on supports. The feature of the analysis of such systems is the necessity of accounting of precessional movement of the stationary waves, raised under the influence of revolting factors. In the book you can find the way of accounting of these features in the equations of dynamics of shells; theorems of possible character of precessional movements of the raised stationary waves are proved here. The material is a basis for the decision of a more difficult problem - the creation of the theory of multibasic rotating shells. The monograph is intended for science workers and experts who are engaged in researches of questions of dynamics and in working out the designs containing shells rotating on supports.

Finite Rotation Shells

Author : K. Wisniewski
Publisher : Springer Science & Business Media
Page : 492 pages
File Size : 42,29 MB
Release : 2010-11-18
Category : Technology & Engineering
ISBN : 9048187613

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The objective of this book is to provide a comprehensive introduction to ?nite rotation shells and to non-linear shell ?nite elements. It is divided into 5 parts: I. Preliminaries (20 pages), II. Shell equations (104 pages), III. Finite rotations for shells (103 pages), IV. Four-node shell elements (189 pages), and V. Numerical examples (41 pages). Additional numerical examples are presented in Parts III and IV. The bibliography includes 270 entries. The book is intended for both teaching and self-study, and emphasizes fundamental aspects and techniques of the subject. Some familiarity with non-linear mechanics and the ?nite element method is assumed. Shell elements are a subject of active research which results in many publications every year and several conferences and sessions are held r- ularly, among them, two large international conferences: \Computation of Shell and Spatial Structures" and \Shell Structures. Theory and - plications" (SSTA). The literature is voluminous, not easy to follow and evaluate, and the subject is di–cult to comprehend. I hope that this will be facilitated by the book. I would like to express my gratitude to several persons who helped me in my professional life, in this way contributing to the book. I thank Prof. R.L. Taylor from the University of California at Berkeley, Prof. B. Schre er from the University of Padua, and Prof. J.T. Santos from the Instituto Superior Tecnico at Lisbon, for hosting and supporting me when I was a post-doctoral researcher.

Nonlinear Vibrations and Stability of Shells and Plates

Author : Marco Amabili
Publisher : Cambridge University Press
Page : 391 pages
File Size : 16,23 MB
Release : 2008-01-14
Category : Science
ISBN : 1139469029

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This unique book explores both theoretical and experimental aspects of nonlinear vibrations and stability of shells and plates. It is ideal for researchers, professionals, students, and instructors. Expert researchers will find the most recent progresses in nonlinear vibrations and stability of shells and plates, including advanced problems of shells with fluid-structure interaction. Professionals will find many practical concepts, diagrams, and numerical results, useful for the design of shells and plates made of traditional and advanced materials. They will be able to understand complex phenomena such as dynamic instability, bifurcations, and chaos, without needing an extensive mathematical background. Graduate students will find (i) a complete text on nonlinear mechanics of shells and plates, collecting almost all the available theories in a simple form, (ii) an introduction to nonlinear dynamics, and (iii) the state of art on the nonlinear vibrations and stability of shells and plates, including fluid-structure interaction problems.

Vibration of Laminated Shells and Plates

Author : Mohamad Subhi Qatu
Publisher : Elsevier
Page : 426 pages
File Size : 22,17 MB
Release : 2004-02-16
Category : Technology & Engineering
ISBN : 0080474764

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Vibrations drive many engineering designs in today’s engineering environment. There has been an enormous amount of research into this area of research over the last decade. This book documents some of the latest research in the field of vibration of composite shells and plates filling a much-needed gap in the market. Laminated composite shells have many engineering applications including aerospace, mechanical, marine and automotive engineering. This book makes an ideal reference for researchers and practicing engineers alike. The first book of its kind Documents 10 years of research in the field of composite shells Many Engineering applications

Localized Dynamics of Thin-Walled Shells

Author : Gennadi I. Mikhasev
Publisher : CRC Press
Page : 220 pages
File Size : 38,85 MB
Release : 2020-04-17
Category : Mathematics
ISBN : 1351630687

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Localized Dynamics of Thin-Walled Shells focuses on localized vibrations and waves in thin-walled structures with variable geometrical and physical characteristics. It emphasizes novel asymptotic methods for solving boundary-value problems for dynamic equations in the shell theory, in the form of functions which are highly localized near both fixed and moving lines/points on the shell surface. Features First-of-its-kind work, synthesizing knowledge of the localization of vibrations and waves in thin-walled shells with a mathematical tool to study them Suitable for researchers working on the dynamics of thin shells and also as supplementary reading for undergraduates studying asymptotic methods Offers detailed analysis of wave processes in shells with varying geometric and physical parameters

Dynamics of the Earth

Author : V. I. Ferronsky
Publisher : Springer Science & Business Media
Page : 267 pages
File Size : 13,9 MB
Release : 2010-06-28
Category : Science
ISBN : 9048187230

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In their search for solutions to problems concerning the dynamics of the Earth as a self-gravitating body, the authors have applied the fundamentals found in their book “Jacobi Dynamics” (1987, Reidel). First, satellite observations have shown that the Earth does not remain in hydrostatic equilibrium, which forms the physical basis of modern geodynamics. Secondly, satellite data have established a relationship between the planet’s polar moment of inertia and the potential of the Earth’s outer force field, which proves the most basic point of Jacobi dynamics. This allowed the authors to revise their derivation of the classical virial theorem, introducing the concept of a volumetric force and volumetric moment, and so to obtain a generalized virial theorem in the form of Jacobi’s equation. The main dynamical effects are: the kinetic energy of oscillation of the interacting particles, which explains the physical meaning and nature of gravitational forces; separation of shells of a self-gravitating body with respect to its mass density; differences in angular velocities of the shell’s rotation; continuity in variance of the potential of the outer gravitational force field, together with reductions in the envelope of the interacting masses (volumetric center of gravity); the nature of Earth, Moon and satellite precession; the nature and generating mechanism of the planet’s electromagnetic field; the common nature of gravitational and electromagnetic energy, and other related issues. The work is a logical continuation of the book "Jacobi Dynamics" and is intended for researchers, teachers and students engaged in theoretical and experimental research in various branches of astronomy, geophysics, planetology and cosmogony, and for students of celestial, statistical, quantum and relativistic mechanics and hydrodynamics.

Chaotic Systems

Author : Christos H. Skiadas
Publisher : World Scientific
Page : 411 pages
File Size : 12,30 MB
Release : 2010
Category : Science
ISBN : 9814299723

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This volume contains a collection of papers suggested by the Scientific Committee that includes the best papers presented in the 2nd International Conference (CHAOS2009) on Chaotic Modeling, Simulation and Applications, that was held in Chania, Crete, Greece, June 1-5, 2009. The aim of the conference was to invite and bring together people working in interesting topics of chaotic modeling, nonlinear and dynamical systems and chaotic simulation. The volume presents theoretical and applied contributions on chaotic systems. Papers from several nonlinear analysis and chaotic fields are included and new and very important results are presented. Emphasis was given to the selection of works that have significant impact in the chaotic field and open new horizons to further develop related topics and subjects. Even more the selected papers are addressed to an interdisciplinary audience aiming at the broad dissemination of the theory and practice of chaotic modeling and simulation and nonlinear science.

Recent Developments in the Theory of Shells

Author : Holm Altenbach
Publisher : Springer Nature
Page : 798 pages
File Size : 36,77 MB
Release : 2019-09-25
Category : Technology & Engineering
ISBN : 3030177475

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This book commemorates the 80th birthday of Prof. W. Pietraszkiewicz, a prominent specialist in the field of general shell theory. Reflecting Prof. Pietraszkiewicz’s focus, the respective papers address a range of current problems in the theory of shells. In addition, they present other structural mechanics problems involving dimension-reduced models. Lastly, several applications are discussed, including material models for such dimension-reduced structures.

Vibrations of Shells and Plates

Author : Werner Soedel
Publisher : CRC Press
Page : 594 pages
File Size : 11,42 MB
Release : 2004-08-11
Category : Mathematics
ISBN : 0203026306

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With increasingly sophisticated structures involved in modern engineering, knowledge of the complex vibration behavior of plates, shells, curved membranes, rings, and other complex structures is essential for today‘s engineering students, since the behavior is fundamentally different than that of simple structures such as rods and beams. Now in its