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Author: Ahmed K. Noor
Publisher: Elsevier
ISBN: 1483145646
Category : Mathematics
Languages : en
Pages : 472
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Book Description
Computational Methods in Nonlinear Structural and Solid Mechanics covers the proceedings of the Symposium on Computational Methods in Nonlinear Structural and Solid Mechanics. The book covers the development of efficient discretization approaches; advanced numerical methods; improved programming techniques; and applications of these developments to nonlinear analysis of structures and solids. The chapters of the text are organized into 10 parts according to the issue they tackle. The first part deals with nonlinear mathematical theories and formulation aspects, while the second part covers computational strategies for nonlinear programs. Part 3 deals with time integration and numerical solution of nonlinear algebraic equations, while Part 4 discusses material characterization and nonlinear fracture mechanics, and Part 5 tackles nonlinear interaction problems. The sixth part discusses seismic response and nonlinear analysis of concrete structure, and the seventh part tackles nonlinear problems for nuclear reactors. Part 8 covers crash dynamics and impact problems, while Part 9 deals with nonlinear problems of fibrous composites and advanced nonlinear applications. The last part discusses computerized symbolic manipulation and nonlinear analysis software systems. The book will be of great interest to numerical analysts, computer scientists, structural engineers, and other professionals concerned with nonlinear structural and solid mechanics.
Author: Ahmed K. Noor
Publisher: Elsevier
ISBN: 1483145646
Category : Mathematics
Languages : en
Pages : 472
Get Book Here
Book Description
Computational Methods in Nonlinear Structural and Solid Mechanics covers the proceedings of the Symposium on Computational Methods in Nonlinear Structural and Solid Mechanics. The book covers the development of efficient discretization approaches; advanced numerical methods; improved programming techniques; and applications of these developments to nonlinear analysis of structures and solids. The chapters of the text are organized into 10 parts according to the issue they tackle. The first part deals with nonlinear mathematical theories and formulation aspects, while the second part covers computational strategies for nonlinear programs. Part 3 deals with time integration and numerical solution of nonlinear algebraic equations, while Part 4 discusses material characterization and nonlinear fracture mechanics, and Part 5 tackles nonlinear interaction problems. The sixth part discusses seismic response and nonlinear analysis of concrete structure, and the seventh part tackles nonlinear problems for nuclear reactors. Part 8 covers crash dynamics and impact problems, while Part 9 deals with nonlinear problems of fibrous composites and advanced nonlinear applications. The last part discusses computerized symbolic manipulation and nonlinear analysis software systems. The book will be of great interest to numerical analysts, computer scientists, structural engineers, and other professionals concerned with nonlinear structural and solid mechanics.
Author: J. T. Oden
Publisher:
ISBN:
Category :
Languages : en
Pages : 343
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Book Description
In this report the dynamic behavior of metallic bodies subjected to dry frictional contacts is studied. A simple model of interface response which incorporates a constitutive equation for the normal deformability of the interface and the Coulomb law of friction is developed. This interface model is incorporated in the formulation of problems in continuum mechanics that invlove the contact of linearly elastic or viscoelastic bodies. Variational formulations for these problems are established and existence and uniqueness results are proved for steady-sliding and dynamic frictionless or frictional contact problems. The same interface model is also incorporated in finite dimensional models for contact problems: a simple rigid body model and finite element space discretizations of the continuum models. Numerical studies steady sliding and its dynamic stability are presented, as well as numerical studies of friction-induced oscillations. In the latter case, the Newmark method and the central-difference technique are used to integrate numerically the equations of motion. In the numerical studies particular emphasis is given to the role played by normal degree-of-freedom in frictional sliding.
Author: J. T. Oden
Publisher:
ISBN:
Category :
Languages : en
Pages : 192
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Book Description
Nonclassical Friction Laws: In order to overcome mathematical and numerical difficulties inherent in classical friction laws when applied to contact problems in continuum mechanics and to apply more physically reasonable simulations of dry static contact on metallic surfaces, new nonclassical friction laws were derived and implemented in an analysis of a wide class of contact problems in elastostatics. A complete theory was developed including existence theorems, approximation theorems, error estimates, algorithms, and finite element computer codes. Quasi-Static Friction Problems: New variational principles were derived for numerical simulation cyclic loading of metallic bodies in contact on surfaces on which nonclassical friction laws were assumed to hold. Finite element methods were developed using these formulations and several numerical examples were studied. Plasticity Models of Friction: Two friction models of friction effects on metallic surfaces subjected to quasi-static load reversals were developed and implemented in finite element analyses. Thorough theoretical analysis of one of these was completed, and one formulation was sufficiently general to take into account large elastoplastic deformations. Dynamic Friction: A general variational principle for elastodynamic contact problems with friction was derived and used to develop new finite element methods for such problems. Error estimates and dynamic stability criteria were investigated. Extensions to problems with velocity-dependent friction coefficients were studied numerically.
Author: J. T. Oden
Publisher:
ISBN:
Category :
Languages : en
Pages : 405
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Book Description
This final report summarizes work on a three-year project devoted to dynamic friction and on control of systems with frictional forces. Detailed theoretical and numerical studies of static and dynamic friction and various phenomena of dynamic friction (stick-slip motion, self-excited oscillations, frictional damping, etc.) are described. Included in the report is also a study of methods of statistical homogenization, devised to develop new micromechanics-based models of contact and friction. The question of optimal control with distributed dynamical systems of viscoelastic bodies with frictional forces is also described. A final component of this study focuses on the mathematical and numerical analysis of elastohydrodynamic lubrication problems and is included in the final chapter. The studies presented in this report provide both a theoretical and numerical basis for modeling contact and friction. These models are shown to produce results in very good qualitative and quantitative agreement with experimental results. Keywords: Friction, Damping, Structural dynamics, Elastohydrodynamic lubrication. (MJM).
Author: I.S. Doltsinis
Publisher: Springer
ISBN: 3709128285
Category : Mathematics
Languages : en
Pages : 248
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Book Description
Advanced computational methods in nonlinear mechanics of solids and fluids are dealt with in this volume. Contributions consider large deformations of structures and solids, problems in nonlinear dynamics, aspects of earthquake analysis, coupled problems, convection-dominated phenomena, and compressible and incompressible viscous flows. Selected applications indicate the relevance of the analysis to the demands of industry and science. The contributors are from research institutions well-known for their work in this field.
Author: J. T. Oden
Publisher:
ISBN:
Category :
Languages : en
Pages : 57
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Book Description
This report summarizes results of research related to the theory and modeling of contact and friction on both rough dry surfaces and on lubricated surfaces. A summary of work on the quality of the numerical analysis of elastohydrodynamic lubrication problems is given. A complete mathematical foundation is established for these problems, new numerical methods are devised, adaptive finite elements schemes are constructed, and a variety of numerical solutions are obtained. A-priori estimates are derived, which are shown to give estimates of rates of convergence in agreement with numerical experiments. A summary of ongoing work and the development of new models of contact and friction on rough surfaces is given. A probabilistic model of rough dry surfaces is described, in which asperity heights are assumed to be randomly distributed over a surface. The effects of inter-molecular adhesion on contact friction are included. This approach allows one to focus on the problem of deformation of a typical asperity. In this work we assume the mechanical response of an asperity to be nonlinear viscoplastic, enabling one to model elastic, viscoelastic, plastic, and viscoplastic response as well as damage of rough surfaces in contact. Preliminary versions of these models are used to study the elasto-dynamic behavior and control of structural components subjected to frictional forces. Numerical results show that the models five excellent agreement with experimental data.
Author: L. Meirovitch
Publisher: Springer Science & Business Media
ISBN: 9789028605800
Category : Mathematics
Languages : en
Pages : 462
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Book Description
Author: Walter Lacarbonara
Publisher: Springer Science & Business Media
ISBN: 1441912762
Category : Science
Languages : en
Pages : 812
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Book Description
This book reviews the theoretical framework of nonlinear mechanics, covering computational methods, applications, parametric investigations of nonlinear phenomena and mechanical interpretation towards design. Builds skills via increasing levels of complexity.
Author: Walter Lacarbonara
Publisher: Springer Nature
ISBN: 3030347133
Category : Science
Languages : en
Pages : 592
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Book Description
This first of three volumes from the inaugural NODYCON, held at the University of Rome, in February of 2019, presents papers devoted to Nonlinear Dynamics of Structures, Systems and Devices. The collection features both well-established streams of research as well as novel areas and emerging fields of investigation. Topics in Volume I include multi-scale dynamics: coexistence of multiple time/space scales, large system dynamics; dynamics of structures/industrial machines/equipment/facilities (e.g., cable transportation systems, suspension bridges, cranes, vehicles); nonlinear interactions: parametric vibrations with single/multi-frequency excitations, multiple external and autoparametric resonances in multi-dof systems; nonlinear system identification: parametric/nonparametric identification, data-driven identification; experimental dynamics: benchmark experiments, experimental methods, instrumentation techniques, measurements in harsh environments, experimental validation of nonlinear models; wave propagation, solitons, kinks, breathers; solution methods for pdes: Lie groups, Hirota’s method, perturbation methods, etc; nonlinear waves in media (granular materials, porous materials, materials with memory); composite structures: multi-layer, functionally graded, thermal loading; fluid/structure interaction; nonsmooth and retarded dynamics: systems with impacts, free play, stick-slip, friction hysteresis; nonlinear systems with time and/or space delays; stability of delay differential equations, differential-algebraic equations; space/time reduced-order modeling: enhanced discretization methods, center manifold reduction, nonlinear normal modes, normal forms; fractional-order systems; computational techniques: efficient algorithms, use of symbolic manipulators, integration of symbolic manipulation and numerical methods, use of parallel processors; and multibody dynamics: rigid and flexible multibody system dynamics, impact and contact mechanics, tire modeling, railroad vehicle dynamics, computational multibody dynamics.
Author: Steven J. Fenves
Publisher: Elsevier
ISBN: 1483272540
Category : Technology & Engineering
Languages : en
Pages : 698
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Book Description
Numerical and Computer Methods in Structural Mechanics is a compendium of papers that deals with the numerical methods in structural mechanics, computer techniques, and computer capabilities. Some papers discus the analytical basis of the computer technique most widely used in software, that is, the finite element method. This method includes the convergence (in terms of variation principles) isoparametrics, hybrid models, and incompatible displacement models. Other papers explain the storage or retrieval of data, as well as equation-solving algorithms. Other papers describe general-purpose structural mechanics programs, alternatives to, and extension of the usual finite element approaches. Another paper explores nonlinear, dynamic finite element problems, and a direct physical approach to determine finite difference models. Special papers explain structural mechanics used in computing, particularly, those related to integrated data bases, such as in the Structures Oriented Exchange System of the Office of Naval Research and the integrated design of tanker structures. Other papers describe software and hardware capabilities, for example, in ship design, fracture mechanics, biomechanics, and crash safety. The text is suitable for programmers, computer engineers, researchers, and scientists involved in materials and industrial design.
