asymptotical mechanics of thin walled structures foundations of engineering mechanics

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Asymptotical Mechanics Of Thin Walled Structures

Author : Igor V. Andrianov
ISBN : 3540408762
Genre : Mathematics
File Size : 31. 31 MB
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In this book a detailed and systematic treatment of asymptotic methods in the theory of plates and shells is presented. The main features of the book are the basic principles of asymptotics and its applications, traditional approaches such as regular and singular perturbations, as well as new approaches such as the composite equations approach. The book introduces the reader to the field of asymptotic simplification of the problems of the theory of plates and shells and will be useful as a handbook of methods of asymptotic integration. Providing a state-of-the-art review of asymptotic applications, this book will be useful as an introduction to the field for novices as well as a reference book for specialists.

Nonlinear Mechanics Of Thin Walled Structures

Author : Yury Vetyukov
ISBN : 9783709117774
Genre : Technology & Engineering
File Size : 37. 78 MB
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This book presents a hybrid approach to the mechanics of thin bodies. Classical theories of rods, plates and shells with constrained shear are based on asymptotic splitting of the equations and boundary conditions of three-dimensional elasticity. The asymptotic solutions become accurate as the thickness decreases, and the three-dimensional fields of stresses and displacements can be determined. The analysis includes practically important effects of electromechanical coupling and material inhomogeneity. The extension to the geometrically nonlinear range uses the direct approach based on the principle of virtual work. Vibrations and buckling of pre-stressed structures are studied with the help of linearized incremental formulations, and direct tensor calculus rounds out the list of analytical techniques used throughout the book. A novel theory of thin-walled rods of open profile is subsequently developed from the models of rods and shells, and traditionally applied equations are proven to be asymptotically exact. The influence of pre-stresses on the torsional stiffness is shown to be crucial for buckling analysis. Novel finite element schemes for classical rod and shell structures are presented with a comprehensive discussion regarding the theoretical basis, computational aspects and implementation details. Analytical conclusions and closed-form solutions of particular problems are validated against numerical results. The majority of the simulations were performed in the Wolfram Mathematica environment, and the compact source code is provided as a substantial and integral part of the book.

Mechanics Of Structural Elements

Author : Vladimir Slivker
ISBN : 9783540447214
Genre : Technology & Engineering
File Size : 22. 82 MB
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The book systematically presents variational principles and methods of analysis for applied elasticity and structural mechanics. The variational approach is used consistently for both, constructing numerical procedures and deriving basic governing equations of applied mechanics of solids; it is the derivation of equations where this approach is most powerful and best grounded by mathematics.

Mechanics Of Non Holonomic Systems

Author : Sh.Kh Soltakhanov
ISBN : 9783540858478
Genre : Technology & Engineering
File Size : 29. 80 MB
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A general approach to the derivation of equations of motion of as holonomic, as nonholonomic systems with the constraints of any order is suggested. The system of equations of motion in the generalized coordinates is regarded as a one vector relation, represented in a space tangential to a manifold of all possible positions of system at given instant. The tangential space is partitioned by the equations of constraints into two orthogonal subspaces. In one of them for the constraints up to the second order, the motion low is given by the equations of constraints and in the other one for ideal constraints, it is described by the vector equation without reactions of connections. In the whole space the motion low involves Lagrangian multipliers. It is shown that for the holonomic and nonholonomic constraints up to the second order, these multipliers can be found as the function of time, positions of system, and its velocities. The application of Lagrangian multipliers for holonomic systems permits us to construct a new method for determining the eigenfrequencies and eigenforms of oscillations of elastic systems and also to suggest a special form of equations for describing the system of motion of rigid bodies. The nonholonomic constraints, the order of which is greater than two, are regarded as programming constraints such that their validity is provided due to the existence of generalized control forces, which are determined as the functions of time. The closed system of differential equations, which makes it possible to find as these control forces, as the generalized Lagrange coordinates, is compound. The theory suggested is illustrated by the examples of a spacecraft motion. The book is primarily addressed to specialists in analytic mechanics.

Research And Applications In Structural Engineering Mechanics And Computation

Author : Alphose Zingoni
ISBN : 9781315850788
Genre : Science
File Size : 53. 30 MB
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Research and Applications in Structural Engineering, Mechanics and Computation contains the Proceedings of the Fifth International Conference on Structural Engineering, Mechanics and Computation (SEMC 2013, Cape Town, South Africa, 2-4 September 2013). Over 420 papers are featured. Many topics are covered, but the contributions may be seen to fall into one of four broad themes of the conference, namely: (i) structural mechanics (dynamics, vibration, seismic response, statics, bifurcation, buckling, stability, impact response, contact mechanics, fluid-structure interaction, soil-structure interaction, etc); (ii) mechanics of materials (elasticity, plasticity, fracture, damage, fatigue, creep, shrinkage, etc); (iii) modelling and testing (finite-element modelling, numerical methods, numerical simulations, experimental methods, experimental testing); (iv) structural-engineering practice (planning, analysis, design, construction, maintenance, repair, retrofitting, decommissioning). Not only do the considerations cover many types of engineering structures (buildings, bridges, tunnels, towers, space frames, roofs, foundations, shells, plates, mechanical assemblies, etc), they also span a diversity of engineering materials ranging from the traditional to the novel: steel, concrete, timber, masonry, aluminium, special alloys, glass, composites, functionally-graded materials, smart materials, etc. Two versions of each paper are available. The printed book features 2-page versions of the papers, intended to be concise but sufficiently informative summaries of the full papers. Details may be seen in the full papers, which are carried on the accompanying CD-ROM. Research and Applications in Structural Engineering, Mechanics and Computation is of interest to civil, structural, mechanical, marine and aerospace engineers concerned with the modelling, analysis, design, construction and maintenance of engineering structures. Researchers, practitioners and academics in these discipines will find the book useful. The SEMC international conferences, inaugurated in 2001, aim at bringing together from around the world academics, researchers and practitioners in the broad fields of structural mechanics, associated computation and structural engineering, to review recent achievements in the advancement of knowledge and understanding in these areas, share the latest developments, and address the challenges that the present and the future pose.

Asymptotical Mechanics Of Composites

Author : Igor V. Andrianov
ISBN : 9783319657868
Genre : Technology & Engineering
File Size : 21. 35 MB
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In this book the authors show that it is possible to construct efficient computationally oriented models of multi-parameter complex systems by using asymptotic methods, which can, owing to their simplicity, be directly used for controlling processes arising in connection with composite material systems. The book focuses on this asymptotic-modeling-based approach because it allows us to define the most important out of numerous parameters describing the system, or, in other words, the asymptotic methods allow us to estimate the sensitivity of the system parameters. Further, the book addresses the construction of nonlocal and higher-order homogenized models. Local fields on the micro-level and the influence of so-called non-ideal contact between the matrix and inclusions are modeled and investigated. The book then studies composites with non-regular structure and cluster type composite conductivity, and analyzes edge effects in fiber composite materials. Transition of load from a fiber to a matrix for elastic and viscoelastic composites, various types of fiber composite fractures, and buckling of fibers in fiber-reinforced composites is also investigated. Last but not least, the book includes studies on perforated membranes, plates, and shells, as well as the asymptotic modeling of imperfect nonlinear interfaces.

Shell Structures Theory And Applications Volume 4

Author : Wojciech Pietraszkiewicz
ISBN : 9781351680479
Genre : Technology & Engineering
File Size : 27. 76 MB
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Shells are basic structural elements of modern technology and everyday life. Examples of shell structures in technology include automobile bodies, water and oil tanks, pipelines, silos, wind turbine towers, and nanotubes. Nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes or wings of insects. In the human body arteries, the eye shell, the diaphragm, the skin and the pericardium are all shells as well. Shell Structures: Theory and Applications, Volume 4 contains 132 contributions presented at the 11th Conference on Shell Structures: Theory and Applications (Gdansk, Poland, 11-13 October 2017). The papers reflect a wide spectrum of scientific and engineering problems from theoretical modelling through strength, stability and dynamic behaviour, numerical analyses, biomechanic applications up to engineering design of shell structures. Shell Structures: Theory and Applications, Volume 4 will be of interest to academics, researchers, designers and engineers dealing with modelling and analyses of shell structures. It may also provide supplementary reading to graduate students in Civil, Mechanical, Naval and Aerospace Engineering.

Stressed Composite Structures

Author : A.G. Kolpakov
ISBN : 3540407901
Genre : Mathematics
File Size : 65. 22 MB
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The basic concepts of traditional mechanics of stressed structures are suitable for classical uniform structures made of homogeneous materials but not for complex structures such as a network plate or structures made of composite materials. In this book a new approach to stressed inhomogeneous structures is presented, leading to significant changes in the classical concepts of stressed bodies, especially plates, membranes, rods and beams. The approach is based on the rigorous mathematical asymptotic homogenization method and its newly elaborated modifications. It can be applied to the analysis, mechanical design and optimization problems of composite structures, including buckling problems.

Advances In Mechanics Theoretical Computational And Interdisciplinary Issues

Author : Michał Kleiber
ISBN : 9781315645063
Genre : Computers
File Size : 52. 26 MB
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Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues covers the domain of theoretical, experimental and computational mechanics as well as interdisciplinary issues, such as industrial applications. Special attention is paid to the theoretical background and practical applications of computational mechanics. This volume contains 132 contributions presented at the PCM-CMM-2015 Congress held on 8-11 September, 2015 in Gdańsk, Poland. The Congress is a joint scientific event of the 3rd Polish Congress of Mechanics (PCM) and the 21st International Conference on Computer Methods in Mechanics (CMM). Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues will be of interest to researchers and designers dealing with mechanics and its applications.

Advances And Trends In Structural Engineering Mechanics And Computation

Author : Alphose Zingoni
ISBN : 9780415618151
Genre : Technology & Engineering
File Size : 47. 17 MB
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Advances and Trends in Structural Engineering, Mechanics and Computation features over 300 papers classified into 21 sections, which were presented at the Fourth International Conference on Structural Engineering, Mechanics and Computation (SEMC 2010, Cape Town, South Africa, 6-8 September 2010). The SEMC conferences have been held every 3 years in Cape Town, and since then brought together academics, researchers and practitioners active in structural mechanics, associated computation and structural engineering. The main purpose of the conferences was to review recent achievements in the advancement of knowledge and understanding in these areas, share the latest developments, and address the challenges that the present and the future pose. All major aspects of structural mechanics, associated computation and structural engineering are addressed in the present volume, including: structural mechanics (dynamics, vibration, impact, buckling, seismic response, fluid-structure interaction, soil-structure interaction); mechanics of materials (plasticity, fracture, fatigue, creep, shrinkage, damage, deterioration); numerical/computational modelling (numerical methods, formulations, finite-element modelling, structural modelling, material modelling, simulations); structural engineering and construction in the various materials (steel, concrete, timber, masonry, glass, steel-concrete composite, fibre-reinforced composite, laminated composite); design, construction and operational considerations (fire resistance, seismic resistance, loading, safety and reliability, codification, design optimisation, construction, assembly, monitoring, maintenance, repair, retrofitting). The structures dealt with include all sorts of buildings, sports facilities, bridges, viaducts, tunnels, underground structures, foundation structures, coastal structures, dams, industrial towers and masts, containment structures (silos, tanks and pressure vessels), ship and aircraft structures, motor-vehicle structures, mechanical components and biological structures. Advances and Trends in Structural Engineering, Mechanics and Computation is published as a book of extended abstracts, and an accompanying CD-ROM with the full papers, and will be much of interest to engineers, academics and researchers in civil, structural, mechanical and aerospace engineering, and to those concerned with the analysis, design, construction and maintenance of engineering structures.

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