Download or read book Boundary Stabilization of Thin Elastic Plates written by John E. Lagnese and published by . This book was released on 1987 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we shall consider the question of uniform stabilization of thin, elastic plates through the action of forces and moments on the edge of the plate (or on a part of the edge of the plate). Two particular plate models will be considered: The classical fourth order Kirchoff model, but incorporating rotational inertia, and the sixth order Mindlin-Timoshenko model. The difference in the two models, from a physical point of view, is that the M-T model incorporates transverse shear effects while the Kirchhoff model does not. Actually, the M-T model is a hyperbolic system three coupled second order partial differential equations in two dependent variables. The unknowns, denoted by w, psi, phi are the vertical component w of displacement and angles which are measures of the amount of transverse shear. The three equations are coupled through terms which are multiples of a factor K called the coefficient of elasticity in shear.
Download or read book Boundary Stabilization of Thin Plates written by John E. Lagnese and published by SIAM. This book was released on 1989-01-01 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents research in the area of design and analysis of feedback stabilizers for distributed parameter systems in structural dynamics.
Download or read book Thin Elastic Plates written by Fu-feng Chang and published by . This book was released on 1966 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: the history of the development of the theory of elastic thin plates, theory of elastic thin plates, problems associated with the cylindrical bending of long rectangular plates, bending of simply supported rectangular plates, equilibrium, stability and vibration of rectangular plates with fixed edges, rectangular plates with two adjacent edges fixed and two adjacent edges simply supported, equilibrium, stability and vibration of continuous rectangular plates, problems associated with rectangular plates supported at the corner points.
Download or read book Elementary Theory of Elastic Plates written by L. G. Jaeger and published by Elsevier. This book was released on 2013-09-24 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Theory of Elastic Plates deals with plate theory, particularly on the elastic behavior of initially flat thin plates subjected to loads, producing deflexions. This book discusses rectangular plates and circular plates subjected to different types of load conditions. This text describes the bending moment and curvature of beams, and gives the formula of principal axes, where the location of a neutral axis that experiences zero stress and strain, can be found. This book also notes how calculations can show small or negligible deflexions. The text discusses Possion's ratio effect and the Mohr's circle relationship. This text analyzes the various loads acting on different parts of the rectangular plate using the Navier method; the Levy's method is taken up when considerations are on other forms of boundary support on the rectangular plate. This book then addresses the circular plate that experiences bending moments and curvatures when it is placed under radially symmetric loads. This text explains the equation that is applicable in a radially symmetric case. This book also addresses understanding approximations of energy in stability problems when there is bending and twisting as shown in a strut with a certain thickness, radial length of the arms, and length of the strut. Engineers, physicists, architects, and designers of industrial equipment subject to heavy loads will appreciate the information found in this book.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1988 with total page 1020 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Thin Elastic Plates and Shells and Boundary Value Problems written by Patrick M. Quinlan and published by . This book was released on 1968 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: The grant period 1 December 1966 to 30 November 1967 saw the successful development of the Edge-Function Method to plates with polygonal and/or curved boundaries with holes, and also a radically novel use of conformal mapping for the solution of plate problems. (Author).
Download or read book Stability Analysis and Design of Structures written by M.L. Gambhir and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced and graduate-level text and self-tutorial teaches readers to understand and to apply analytical design principles across the breadth of the engineering sciences. Emphasizing fundamentals, the book addresses the stability of key engineering elements such as rigid-body assemblage, beam-column, beam, rigid frame, thin plate, arch, ring, and shell. Each chapter contains numerous worked-out problems that clarify practical application and aid comprehension of the basics of stability theory, plus end-of-chapter review exercises. Others key features are the citing and comparison of different national building standards, use of non-dimensional parameters, and many tables with much practical data and simplified formula, that enable readers to use them in the design of structural components. First six chapters most suitable for undergraduate-level study and remaining chapters for graduate-level courses.
Download or read book Stability of Elastic Structures written by N.A. Alfutov and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject discussed in this book is the stability of thin-walled elastic systems under static loads. The presentation of these problems is based on modern approaches to elastic-stability theory. Special attention is paid to the formulation of elastic-stability criteria, to the statement of column, plate and shell stability problems, to the derivation of basic relationships, and to a discussion of the boundaries of the application of analytic relationships. The author has tried to avoid arcane, nonstandard problems and elaborate and unexpected solutions, which bring real pleasure to connoisseurs, but confuse students and cause bewilderment to some practical engineers. The author has an apprehension that problems which, though interesting, are limited in application can divert the reader's attention from the more prosaic but no less sophisticated general problems of stability theory.
Download or read book Stability of Thin Elastic Plates Under Variable Symmetrically and Unsymmetrically Distributed In plane Loading written by Frederick C. Chudy and published by . This book was released on 1983 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Modern Trends in Structural and Solid Mechanics 1 written by Noel Challamel and published by John Wiley & Sons. This book was released on 2021-06-08 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book - comprised of three separate volumes - presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This first volume is devoted to the statics and stability of solid and structural members. Modern Trends in Structural and Solid Mechanics 1 has broad scope, covering topics such as: buckling of discrete systems (elastic chains, lattices with short and long range interactions, and discrete arches), buckling of continuous structural elements including beams, arches and plates, static investigation of composite plates, exact solutions of plate problems, elastic and inelastic buckling, dynamic buckling under impulsive loading, buckling and post-buckling investigations, buckling of conservative and non-conservative systems and buckling of micro and macro-systems. This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.
Download or read book Modelling Analysis and Control of Thin Plates written by John E. Lagnese and published by . This book was released on 1989 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Poisson Theory of Elastic Plates written by Kaza Vijayakumar and published by Springer Nature. This book was released on 2021-01-25 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: This groundbreaking book resolves the main lacuna in Kirchhoff theory of bending of plates in the Poisson-Kirchhoff boundary conditions paradox through the introduction of auxiliary problem governing transverse stresses. The book highlights new primary bending problem which is formulated and analyzed by the application of developed Poisson theory. Analysis with prescribed transverse stresses along faces of the plate, neglected in most reported theories, is presented with an additional term in displacements. The book presents a systematic procedure for the analysis of unsymmetrical laminates. This volume will be a useful reference for students, practicing engineers as well as researchers in applied mechanics.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1971 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Thermoelastic Stability Stresses and Deflections of Thin Plates written by F. Buckens and published by . This book was released on 1961 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: An approximate solution of the problem of the stability of an homogeneous simply connected thin plate is given, for any thermal stress distributions assuming the edges to be unrestrained in the plane. Under special conditions this gives a lower bound for the critical level of temperature, when its increase is assumed to incur no change in its relative distribution. Comparison with exact solutions for circular plates gives excellent verifications. A reasonably simple method is also described to study post-buckling behavior when the temperature has increased beyond its critical level; it gives the changing pattern of stress distribution and, less directly, the changing shapes and amplitudes of deflection. The effect of initial deflections is studied and an approximate method developed, suggested by previously used properties of Airy functions at critical levels. Practical application is here far more cumbersome. The effect of restrictions at the edges are taken care of by applying an approximate formula which makes use of the critical levels of temperature determined without them.
Download or read book SIAM Journal on Control and Optimization written by Society for Industrial and Applied Mathematics and published by . This book was released on 2004 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Analysis of Structures 1997 written by Muthukrishnan Sathyamoorthy and published by CRC Press. This book was released on 2017-11-22 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Analysis of Structures presents a complete evaluation of the nonlinear static and dynamic behavior of beams, rods, plates, trusses, frames, mechanisms, stiffened structures, sandwich plates, and shells. These elements are important components in a wide variety of structures and vehicles such as spacecraft and missiles, underwater vessels and structures, and modern housing. Today's engineers and designers must understand these elements and their behavior when they are subjected to various types of loads. Coverage includes the various types of nonlinearities, stress-strain relations and the development of nonlinear governing equations derived from nonlinear elastic theory. This complete guide includes both mathematical treatment and real-world applications, with a wealth of problems and examples to support the text. Special topics include a useful and informative chapter on nonlinear analysis of composite structures, and another on recent developments in symbolic computation. Designed for both self-study and classroom instruction, Nonlinear Analysis of Structures is also an authoritative reference for practicing engineers and scientists. One of the world's leaders in the study of nonlinear structural analysis, Professor Sathyamoorthy has made significant research contributions to the field of nonlinear mechanics for twenty-seven years. His foremost contribution to date has been the development of a unique transverse shear deformation theory for plates undergoing large amplitude vibrations and the examination of multiple mode solutions for plates. In addition to his notable research, Professor Sathyamoorthy has also developed and taught courses in the field at universities in India, Canada, and the United States.
Download or read book Mathematical Elasticity written by and published by Elsevier. This book was released on 1997-07-22 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of justifying two-dimensional plate theories. More specifically, without any recourse to any a priori assumptions of a geometrical or mechanical nature, it is shown that in the linear case, the three-dimensional displacements, once properly scaled, converge in H1 towards a limit that satisfies the well-known two-dimensional equations of the linear Kirchhoff-Love theory; the convergence of stress is also established.In the nonlinear case, again after ad hoc scalings have been performed, it is shown that the leading term of a formal asymptotic expansion of the three-dimensional solution satisfies well-known two-dimensional equations, such as those of the nonlinear Kirchhoff-Love theory, or the von Kármán equations. Special attention is also given to the first convergence result obtained in this case, which leads to two-dimensional large deformation, frame-indifferent, nonlinear membrane theories. It is also demonstrated that asymptotic methods can likewise be used for justifying other lower-dimensional equations of elastic shallow shells, and the coupled pluri-dimensional equations of elastic multi-structures, i.e., structures with junctions. In each case, the existence, uniqueness or multiplicity, and regularity of solutions to the limit equations obtained in this fashion are also studied.
