Download or read book Plane Elastic Systems written by Louis M. Milne-Thomson and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an epoch-making paper entitled "On an approximate solution for the bending of a beam of rectangular cross-section under any system of load with special reference to points of concentrated or discontinuous loading", received by the Royal Society on June 12, 1902, L. N. G. FlLON introduced the notion of what was subsequently called by LovE "general ized plane stress". In the same paper FlLO~ also gave the fundamental equations which express the displacement (u, v) in terms of the complex variable. The three basic equations of the theory of KoLOsov (1909) which was subsequently developed and improved by MUSKHELISHVILI (1915 and onwards) can be derived directly from Filon's equations. The derivation is indicated by FlLO)!E~KO-BoRODICH. Although FILO)! proceeded at once to the real variable, historically he is the founder of the modern theory of the application of the complex variable to plane elastic problems. The method was developed independently by A. C. STEVEXSOX in a paper received by the Royal Society in 1940 but which was not published, for security reasons, until 1945.
Download or read book Plane elastic systems written by and published by . This book was released on 1960 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Antiplane Elastic Systems written by Louis M. Milne-Thomson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term antiplane was introduced by L. N. G. FlLON to describe such problems as tension, push, bending by couples, torsion, and flexure by a transverse load. Looked at physically these problems differ from those of plane elasticity already treated * in that certain shearing stresses no longer vanish. This book is concerned with antiplane elastic systems in equilibrium or in steady motion within the framework of the linear theory, and is based upon lectures given at the Royal Naval College, Greenwich, to officers of the Royal Corps of Naval Constructors, and on technical reports recently published at the Mathematics Research Center, United States Army. My aim has been to tackle each problem, as far as possible, by direct rather than inverse or guessing methods. Here the complex variable again assumes an important role by simplifying equations and by introducing order into much of the treatment of anisotropic material. The work begins with an introduction to tensors by an intrinsic method which starts from a new and simple definition. This enables elastic properties to be stated with conciseness and physical clarity. This course in no way commits the reader to the exclusive use of tensor calculus, for the structure so built up merges into a more familiar form. Nevertheless it is believed that the tensor methods outlined here will prove useful also in other branches of applied mathematics.
Download or read book Anti plane Elastic Systems I written by Louis Melville Milne-Thomson and published by . This book was released on 1960 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Stability of Elastic Systems written by S. J. Britvec and published by Elsevier. This book was released on 2014-07-03 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Stability of Elastic Systems presents some of the most important aspects of the stability and the non-linear behavior at finite deformations of several types of structural elastic systems, which are important for a more precise understanding of the static performance of such systems. This book is divided into eight chapters that aim to complete parts of classical, eigenvalue, theories of buckling and to demonstrate the important role played by finite deformations in the theoretical analyses of stability. Other chapters discuss the properties of prismatic members and the post-buckling behavior of plane frameworks. A chapter describes the elastic buckling and stability of statically determinate space frameworks. The remaining chapters cover the elastic buckling of statically indeterminate pin-jointed systems and space frameworks. These chapters also examine the non-conservative aspects of structural systems. This book will be of great value to practicing engineers and students.
Download or read book Dynamics of Pre Strained Bi Material Elastic Systems written by Surkay D. Akbarov and published by Springer. This book was released on 2015-02-11 with total page 1004 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with dynamics of pre-stressed or pre-strained bi-material elastic systems consisting of stack of pre-stressed layers, stack of pre-stressed layers and pre-stressed half space (or half plane), stack of pre-stressed layers as well as absolute rigid foundation, pre-stressed compound solid and hollow cylinders and pre-stressed sandwich hollow cylinders. The problems considered in the book relate to the dynamics of a moving and oscillating moving load, forced vibration caused by linearly located or point located time-harmonic forces acting to the foregoing systems. Moreover, a considerable part of the book relate to the problems regarding the near surface, torsional and axisymmetric longitudinal waves propagation and dispersion in the noted above bi-material elastic systems. The book carries out the investigations within the framework of the piecewise homogeneous body model with the use of the Three-Dimensional Linearized Theory of Elastic Waves in Initially Stressed Bodies.
Download or read book Stability and Oscillation of Elastic Systems written by I︠A︡kov Gilelevich Panovko and published by . This book was released on 1973 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems such as jumps in elastic systems, problems of aeroelasticity, problems of frictional self-oscillations, and self-synchronization are discussed. The stability of equilibrium shapes of elastic systems is examined. Problems of oscillations of linear systems are discussed, including systems with a fractional number of degrees of freedom as well as free oscillations of a cantilever in the field of centrifugal forces.
Download or read book Vibrations of Elastic Systems written by Edward B. Magrab and published by Springer Science & Business Media. This book was released on 2012-01-19 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents a unified approach to the vibrations of elastic systems as applied to MEMS devices, mechanical components, and civil structures. Applications include atomic force microscopes, energy harvesters, and carbon nanotubes and consider such complicating effects as squeeze film damping, viscous fluid loading, in-plane forces, and proof mass interactions with their elastic supports. These effects are analyzed as single degree-of-freedom models and as more realistic elastic structures. The governing equations and boundary conditions for beams, plates, and shells with interior and boundary attachments are derived by applying variational calculus to an expression describing the energy of the system. The advantages of this approach regarding the generation of orthogonal functions and the Rayleigh-Ritz method are demonstrated. A large number of graphs and tables are given to show the impact of various factors on the systems’ natural frequencies, mode shapes, and responses.
Download or read book Elements of Elasticity written by D. S. Dugdale and published by Elsevier. This book was released on 2014-06-28 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elements of Elasticity details the fundamental concepts in the theory of elasticity. The title emphasizes discussing the essential formulas, along with elementary matters. The text first covers stress and strain, and then proceeds to tackling the elasticity equation. Next, the selection covers plane stress and strain, along with curvilinear coordinates and polar coordinates. The next chapter deals with rotating discs and thick cylinders. Chapter 8 details strain energy in plates, while Chapter 9 discusses torsion. The last chapter covers stress propagation. The book will be of great interest to engineers, particularly those who deal with fracture mechanics.
Download or read book Mechanical Vibrations of Elastic Systems written by Roy and published by Asian Books Private Limited. This book was released on 2006 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Book Presents The Topic Of Vibtations Comprehensively In Terms Of Principles Of Dynamics- Forces, Responses, Analysis, Solutions, Examples, Measurement, Interpretation, Control And Probabilistic Approaches. Idealised Discrete Systems As Well As Continuous Systems Are Discussed In Detail. A Wide Array Of Numerical Methods Used In Vibration Analysis Are Presented In View Of Their Enormous Popularity, Adaptability Using Personal Computers. A Large Number Of Examples Have Been Worked Out To Help An Easy Understanding Of Even The Difficult Topics In Vibration Analysis And Control.
Download or read book Government wide Index to Federal Research Development Reports written by and published by . This book was released on 1965 with total page 1654 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dynamical Problems of Rigid Elastic Systems and Structures written by N.V. Banichuk and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Union of Theoretical and Applied Mechanics (IUTAM) initiated and supported an International Symposium on Dynamical Problems for Rigid-elastic Systems and Structures held in 1990 in Moscow, USSR. The Symposium was intended to bring together scientists working in the fields of multibody system dynamics and finite element systems with special emphasis to modeling, simulation, optimization and control. A Scientific Committee was appointed by the Bureau of IUTAM with following members: N.V. Banichuk (USSR). E.J. Haug (USA). Y. Hori (Japan). S. Kaliszky (Hungary), D.M. Klimov (USSR). Chairman, L. Lilov (Bulgaria), F. Niordson (Denmark), B. Roth (USA), W. Schiehlen (Germany), G. Schmidt (Germany), J. Wittenburg (Germany). The chairman invited the participants on recommendation by the Scientific Committee. As a result 48 active scientific participants from 11 countries followed the invitation, and 32 papers were presented in lecture sessions. The available manuscripts were reviewed by the Scientific Committee after the Symposium, and 24 of them are collected in this volume. At the Symposium a tour to the Institute for Problems of Mechanics, USSR Academy of Sciences, was arranged. The scientific lectures were devoted to the following topics: o Modeling and Optimization, o Dynamics of Systems with Elastic Constraints, o Vibrations, o Multibody Systems.
Download or read book The Stability of Elastic Systems written by S. J. Britvec and published by Pergamon. This book was released on 1973 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Application of the Finite Element Method to Elastic plastic Problems of Plane Stress written by M. Salmon and published by . This book was released on 1970 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: A computer program is presented for the small strain analysis of plane structures in the strain hardening elastic-plastic range. The finite element displacement method is used to perform the linear analyses in the iterative scheme. Bar and constant strain isotropic plane stress triangles are available for use in constructing structural idealizations. The use of ten different sets of material properties, three different material laws, and incremental proportional loading are available as options. Good correlation is shown with available test data and theoretical solutions.
Download or read book Introduction to continuum damage mechanics written by L. Kachanov and published by Springer Science & Business Media. This book was released on 1986-05-31 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern engineering materials subjected to unfavorable mechanical and environmental conditions decrease in strength due to the accumulation of microstructural changes. For example, considering damage in metals we can mention creep damage, ductile plastic damage, embrittlement of steels and fatigue damage. To properly estimate the value of damage when designing reliable structures it is necessary to formulate the damage phenomenon in terms of mechanics. Then it is possible to analyse various engineering problems using analytical and computational techniques. During the last two decades the basic principles of continuum damage mechanics were formulated and some special problems were solved. Many scientific papers were published and several conferences on damage mechanics took place. Now continuum damage mechanics is rapidly developing branch of fracture mechanics. This book is probably the first one on the subject; it contains a sys tematic description of the basic aspects of damage mechanics and some of its applications. In general, a theoretical description of damage can be rather compli cated. The experiments in this field are difficult (especially under multiax ial stress and non-proportional loading). Therefore, experimental data, as a rule, are scarce. Determination of functions and constants, which play a role in the complex variants of the theory, from available experimental data is often practically impossible. ix L.M. Kachanov The problems of damage mechanics are mainly engineering ones. Therefore, the author tries to avoid superfluous mathematical formalism. Some more details of the book's subject can be found in the list of con tents.
Download or read book A Treatise on the Mathematical Theory of Elasticity written by Augustus Edward Hough Love and published by . This book was released on 1927 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Linearized Theory of Elasticity written by William S. Slaughter and published by Springer Science & Business Media. This book was released on 2002 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical framework behind the theory is developed in detail, with the assumptions behind the eventual linearization made clear, so that the reader will be adequately prepared for further studies in continuum mechanics, nonlinear elasticity, inelasticity, fracture mechanics and/or finite elements. Prior to linearization, configurations and general measure of strain and stress are discussed. A modern treatment of the theory of tensors and tensor calculus is used. General curvilinear coordinates are described in an appendix.
