stability of nonlinear shells on the example of spherical shells studies in applied mechanics

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Stability Of Nonlinear Shells

Author : D. Shilkrut
ISBN : 008054164X
Genre : Mathematics
File Size : 75. 25 MB
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Stability of NonLinear Shells is a compilation of the author's work on analyzing the behaviour of spherical caps and related shell structures under various (axisymmetric) load systems. Differing from other texts on shells of revolution, it is one of the first attempts to deal with effects of multi-parameter load systems. This extension leads to the discovery of some new, hitherto unknown phenomena exhibited by these structures. In addition, the book presents a novel way to characterize properties of solutions of the governing equations for spherical caps - a classification anchored in a theory called reciprocal systems. The author has introduced a deformation map, a projection of multi-dimensional solutions to two-dimensional graphs, to enable analysts to gain insight into the physical meaning of the results obtained. Numerous examples illustrate the concepts introduced. This book also comes to grips with many misconceptions existing in engineering literature about the question of the stability of solutions.

Rotating Shell Dynamics

Author : Hua Li
ISBN : 0080455697
Genre : Technology & Engineering
File Size : 68. 51 MB
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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

Introduction To Hydrocodes

Author : Jonas Zukas
ISBN : 0080535011
Genre : Science
File Size : 82. 25 MB
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A hydrocode refers to a computer program used for the study of the dynamic response of materials and structures to impulse (primary blast), impact (involving everything from car and aircraft collisions to impacts of space structures by assorted debris). The understanding of hydrocodes requires knowledge of numerical methods in the code as well as a keen understanding of the physics of the problem being addressed. This can take many years to learn via codes. There are currently a number of titles addressing the physics of high pressure and high rate material but nothing introducing the novice to the fundamentals of this highly technical and complicated study. Introduction to Hydrocodes bridges the gap, bringing together the large body of literature, scattered through diverse journals, government and corporate reports and conference proceedings. As valuable as the text are the cited references and the combination will take years off the preparation time of future code users. Introduces complex physics essential for the understanding of hydrocodes Infused with over 30 years practical experience in the field Brings together a wide range of literature saving valuable research time

Computational Mechanics Of Nonlinear Response Of Shells

Author : Wilfried B. Krätzig
ISBN : 9783642840456
Genre : Technology & Engineering
File Size : 52. 29 MB
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Shell structures and their components are applied in many engineering fields. Designers are attaching ever increasing importance to nonlinear responses such as large deformations, instabilities and nonlinear material properties in their design analysis. This volume presents a careful selection of papers from the ICES '88 Conference covering various aspects of nonlinear shell responses.

Applied Mechanics Reviews

Author :
ISBN : UIUC:30112046051832
Genre : Mechanics, Applied
File Size : 25. 48 MB
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Non Classical Problems In The Theory Of Elastic Stability

Author : Isaac Elishakoff
ISBN : 0521782104
Genre : Mathematics
File Size : 23. 71 MB
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Presents techniques for stability analysis based on the probabilistic theory of stability or 'anti-optimization' theory.

Variational Incremental And Energy Methods In Solid Mechanics And Shell Theory

Author : J. Mason
ISBN : 9781483289649
Genre : Mathematics
File Size : 51. 33 MB
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Studies in Applied Mechanics, 4: Variational, Incremental, and Energy Methods in Solid Mechanics and Shell Theory covers the subject of variational, incremental, and energy methods in Solid Mechanics and Shell Theory from a general standpoint, employing general coordinates and tensor notations. The publication first ponders on mathematical preliminaries, kinematics and stress in three-dimensional solid continua, and the first and second laws of thermodynamics. Discussions focus on the principles of virtual displacements and virtual forces, kinematics of rigid body motions, incremental stresses, kinematics of incremental deformation, description of motion, coordinates, reference and deformed states, tensor formulas for surfaces, and differentials and derivatives of operators. The text then elaborates on constitutive material laws, deformation and stress in shells, first law of thermodynamics applied to shells, and constitutive relations and material laws for shells. Concerns cover hyperelastic incremental material relations, material laws for thin elastic shells, incremental theory and stability, reduced and local forms of the first law of thermodynamics, and description of deformation and motion in shells. The book examines elastic stability, finite element models, variational and incremental principles, variational principles of elasticity and shell theory, and constitutive relations and material laws for shells. The publication is a valuable reference for researchers interested in the variational, incremental, and energy methods in solid mechanics and shell theory.

Theoretical And Applied Mechanics

Author : Frithiof I. Niordson
ISBN : 9781483221069
Genre : Technology & Engineering
File Size : 54. 59 MB
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Theoretical and Applied Mechanics covers the proceedings of the 16th International Congress of Theoretical and Applied Mechanics, held at the Technical University of Denmark, Lyngby, Denmark on August 19-25, 1984. The contributors consider the significant advances in the thriving field of mechanics. This book is composed of 21 chapters, and begins with an overview of space research contributions in understanding fluid media mechanics. This topic is followed by discussions on some aspects and fundamentals of mechanics, such as chaos, computer application, resonant phenomena, adiabaticity, and nonlinear acoustics. The following chapters explore the various applications of theoretical and applied mechanics, including in marine structures, oil recovery, and ice and snow mechanics. This book also deals with nonlinear wave motion, hydrodynamic systems, ocean wave spectra, and Helmholtz concept. The remaining chapters look into the issues of steady water bifurcation, concept of anisotropic soils, and flow visualization. This book is of great value to physicists and research workers who wish to expand their knowledge in mechanics.

Journal Of Applied Mechanics

Author :
ISBN : UOM:39015010645326
Genre : Mechanics, Applied
File Size : 34. 43 MB
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Mathematical Modeling And Simulation In Hydrodynamic Stability

Author : Daniel N. Riahi
ISBN : 9810223080
Genre : Science
File Size : 23. 82 MB
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Hydrodynamic stability is of fundamental importance in the mechanics of fluids and is mainly concerned with the problem of the transition to turbulence. This book is devoted to publication of original research papers, research-expository and survey articles with an emphasis on unsolved problems and open questions in the mathematical modeling and computational aspects of hydrodynamic stability. Review chapters on the mathematical modeling and numerical simulation aspects of hydrodynamic stability, the physical background, and the limitations of the modeling and simulation procedures, due to particular mathematical or computational methods used, are included. This book will be appropriate for use in research and in research-related courses on the subject. It includes chapters on bifurcations in fluid systems, flow patterns, channel flows, non-parallel shear flows, thin-film flows, strong viscous shear flows, Gortler vortices, bifurcations in convection, wavy film flows and boundary layers.

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