Nonlinear Computational Structural Mechanics

Author : Pierre Ladeveze
Publisher : Springer Science & Business Media
Page : 230 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461214328

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Nonlinear Computational Structural Mechanics by Pierre Ladeveze Pdf

This book treats computational modeling of structures in which strong nonlinearities are present. It is therefore a work in mechanics and engineering, although the discussion centers on methods that are considered parts of applied mathematics. The task is to simulate numerically the behavior of a structure under various imposed excitations, forces, and displacements, and then to determine the resulting damage to the structure, and ultimately to optimize it so as to minimize the damage, subject to various constraints. The method used is iterative: at each stage an approximation to the displacements, strains, and stresses throughout the structure is computated and over all times in the interval of interest. This method leads to a general approach for understanding structural models and the necessary approximations.

Author : Walter Lacarbonara
Publisher : Springer Science & Business Media
Page : 812 pages
File Size : 50,8 Mb
Release : 2013-01-09
Category : Science
ISBN : 9781441912763

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Nonlinear Structural Mechanics by Walter Lacarbonara Pdf

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 : Ali H. Nayfeh,P. Frank Pai
Publisher : John Wiley & Sons
Page : 763 pages
File Size : 46,7 Mb
Release : 2008-07-11
Category : Science
ISBN : 9783527617579

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Linear and Nonlinear Structural Mechanics by Ali H. Nayfeh,P. Frank Pai Pdf

* Explains the physical meaning of linear and nonlinear structural mechanics. * Shows how to perform nonlinear structural analysis. * Points out important nonlinear structural dynamics behaviors. * Provides ready-to-use governing equations.

Author : Ahmed K. Noor,Harvey G. McComb
Publisher : Elsevier
Page : 472 pages
File Size : 48,9 Mb
Release : 2014-05-20
Category : Mathematics
ISBN : 9781483145648

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Computational Methods in Nonlinear Structural and Solid Mechanics by Ahmed K. Noor,Harvey G. McComb Pdf

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 : Jamshid Ghaboussi,David A. Pecknold,Xiping Steven Wu
Publisher : CRC Press
Page : 397 pages
File Size : 48,7 Mb
Release : 2017-07-06
Category : Mathematics
ISBN : 9781498746137

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Nonlinear Computational Solid Mechanics by Jamshid Ghaboussi,David A. Pecknold,Xiping Steven Wu Pdf

This book presents the fundamentals of nonlinear mechanics within a modern computational approach based mainly on finite element methods. Both material and geometric nonlinearities are treated. The topics build up from the mechanics of finite deformation of solid bodies through to nonlinear structural behaviour including buckling, bifurcation and snap-through. The principles are illustrated with a series of solved problems. This book serves as a text book for a second year graduate course and as a reference for practitioners using nonlinear analysis in engineering and design.

Author : Wilhelm Rust
Publisher : Springer
Page : 363 pages
File Size : 49,7 Mb
Release : 2015-02-18
Category : Science
ISBN : 9783319133805

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Non-Linear Finite Element Analysis in Structural Mechanics by Wilhelm Rust Pdf

This monograph describes the numerical analysis of non-linearities in structural mechanics, i.e. large rotations, large strain (geometric non-linearities), non-linear material behaviour, in particular elasto-plasticity as well as time-dependent behaviour, and contact. Based on that, the book treats stability problems and limit-load analyses, as well as non-linear equations of a large number of variables. Moreover, the author presents a wide range of problem sets and their solutions. The target audience primarily comprises advanced undergraduate and graduate students of mechanical and civil engineering, but the book may also be beneficial for practising engineers in industry.

Author : Georgios A. Drosopoulos,Georgios E. Stavroulakis
Publisher : CRC Press
Page : 286 pages
File Size : 40,7 Mb
Release : 2022-04-26
Category : Science
ISBN : 9781000579079

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Nonlinear Mechanics for Composite Heterogeneous Structures by Georgios A. Drosopoulos,Georgios E. Stavroulakis Pdf

Nonlinear Mechanics for Composite Heterogeneous Structures applies both classical and multi-scale finite element analysis to the non-linear, failure response of composite structures. These traditional and modern computational approaches are holistically presented, providing insight into a range of non-linear structural analysis problems. The classical methods include geometric and material non-linearity, plasticity, damage and contact mechanics. The cutting-edge formulations include cohesive zone models, the Extended Finite Element Method (XFEM), multi-scale computational homogenization, localization of damage, neural networks and data-driven techniques. This presentation is simple but efficient, enabling the reader to understand, select and apply appropriate methods through programming code or commercial finite element software. The book is suitable for undergraduate studies as a final year textbook and for MSc and PhD studies in structural, mechanical, aerospace engineering and material science, among others. Professionals in these fields will also be strongly benefited. An accompanying website provides MATLAB codes for two-dimensional finite element problems with contact, multi-scale (FE2) and non-linear XFEM analysis, data-driven and machine learning simulations.

Author : W. Wunderlich,E. Stein,K.J. Bathe
Publisher : Springer Science & Business Media
Page : 782 pages
File Size : 55,6 Mb
Release : 2013-03-14
Category : Science
ISBN : 9783642815898

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Nonlinear Finite Element Analysis in Structural Mechanics by W. Wunderlich,E. Stein,K.J. Bathe Pdf

With the rap1d development of computational capab1lities, nonl1near f1nite element analys1s 1n structural mechan1CS has become an 1mportant field of research. Its objective is the real1stic assessment of the actual behaV10r of structures by numerical methods. Th1S requires that all nonlinear effects, such as the nonl1near character1stics of the mater1al and large deformations be taken 1nto account. The act1vities in th1S f1eld be1ng worldw1de, d1rect 1nteraction between the various research groups 1S necessary to coordinate future research and to overcome the time gap between the generat10n of new results and the1r appearance 1n the 11terature. The f1rst U.S.-Germany Sympos1um was held 1n 1976 at the Massachusetts Inst1tute of Technology. Under the general to P1C "Formulat1ons and Computat1onal Algorithms in Fin1te Ele ment Analysis" 1t prov1ded an opportun1ty for about 20 re searchers from each country to present lectures, hold discus sions, and establ1sh mutual contacts. The success of th1S first sympos1um was so encourag1ng that 1t seemed natural to organ- 1ze a second bilateral meet1ng, this time 1n Germany, and to 1nv1te researchers from other European countr1es as well

Author : W. A. Wall,K.-U. Bletzinger,K. Schweizerhof
Publisher : Unknown
Page : 796 pages
File Size : 47,8 Mb
Release : 2001
Category : Structural engineering
ISBN : UOM:39015052666487

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Trends in Computational Structural Mechanics by W. A. Wall,K.-U. Bletzinger,K. Schweizerhof Pdf

Author : J. Ghaboussi,D. A. W. Pecknold,Xiping Wu
Publisher : Unknown
Page : 128 pages
File Size : 52,8 Mb
Release : 2017-07
Category : Materials
ISBN : 1498746128

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Nonlinear Computational Solid Mechanics by J. Ghaboussi,D. A. W. Pecknold,Xiping Wu Pdf

Author : Harry G. Kwatny,Gilmer Blankenship
Publisher : Springer Science & Business Media
Page : 338 pages
File Size : 45,6 Mb
Release : 2000-09-08
Category : Computers
ISBN : 0817641475

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Nonlinear Control and Analytical Mechanics by Harry G. Kwatny,Gilmer Blankenship Pdf

During the past decade we have had to confront a series of control design prob lems - involving, primarily, multibody electro-mechanical systems - in which nonlinearity plays an essential role. Fortunately, the geometric theory of non linear control system analysis progressed substantially during the 1980s and 90s, providing crucial conceptual tools that addressed many of our needs. However, as any control systems engineer can attest, issues of modeling, computation, and implementation quickly become the dominant concerns in practice. The prob lems of interest to us present unique challenges because of the need to build and manipulate complex mathematical models for both the plant and controller. As a result, along with colleagues and students, we set out to develop computer algebra tools to facilitate model building, nonlinear control system design, and code generation, the latter for both numerical simulation and real time con an outgrowth of that continuing effort. As trol implementation. This book is a result, the unique features of the book includes an integrated treatment of nonlinear control and analytical mechanics and a set of symbolic computing software tools for modeling and control system design. By simultaneously considering both mechanics and control we achieve a fuller appreciation of the underlying geometric ideas and constructions that are common to both. Control theory has had a fruitful association with analytical mechanics from its birth in the late 19th century.

Author : M. Kleiber,C. Wozniak
Publisher : Springer Science & Business Media
Page : 470 pages
File Size : 43,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400905771

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Nonlinear Mechanics of Structures by M. Kleiber,C. Wozniak Pdf

The aim of this book is to provide a unified presentation of modern mechanics of structures in a form which is suitable for graduate students as well as for engineers and scientists working in the field of applied mechanics. Traditionally, students at technical universities have been taught subjects such as continuum mechanics, elasticity, plates and shells, frames or finite element techniques in an entirely separate manner. The authors' teaching experience clearly suggests that this situation frequently tends to create in students' minds an incomplete and inconsistent picture of the contemporary structural mechanics. Thus, it is very common that the fundamental laws of physics appear to students hardly related to simplified equations of different "technical" theories of structures, numerical solution techniques are studied independently of the essence of mechanical models they describe, and so on. The book is intended to combine in a reasonably connected and unified manner all these problems starting with the very fundamental postulates of nonlinear continuum mechanics via different structural models of "engineer ing" accuracy to numerical solution methods which can effectively be used for solving boundary-value problems of technological importance. The authors have tried to restrict the mathematical background required to that which is normally familiar to a mathematically minded engineering graduate.

Author : Christian Bucher
Publisher : CRC Press
Page : 248 pages
File Size : 51,6 Mb
Release : 2009-03-30
Category : Mathematics
ISBN : 9780203876534

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Computational Analysis of Randomness in Structural Mechanics by Christian Bucher Pdf

Proper treatment of structural behavior under severe loading - such as the performance of a high-rise building during an earthquake - relies heavily on the use of probability-based analysis and decision-making tools. Proper application of these tools is significantly enhanced by a thorough understanding of the underlying theoretical and computation

Author : Snehashish Chakraverty,Karan Kumar Pradhan
Publisher : Academic Press
Page : 336 pages
File Size : 46,9 Mb
Release : 2018-09-13
Category : Science
ISBN : 9780128156421

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Computational Structural Mechanics by Snehashish Chakraverty,Karan Kumar Pradhan Pdf

Computational Structural Mechanics: Static and Dynamic Behaviors provides a cutting-edge treatment of functionally graded materials and the computational methods and solutions of FG static and vibration problems of plates. Using the Rayleigh-Ritz method, static and dynamic problems related to behavior of FG rectangular, Levy, elliptic, skew and annular plates are discussed in detail. A thorough review of the latest research results, computational methods and applications of FG technology make this an essential resource for researchers in academia and industry. Explains application-oriented treatments of the functionally graded materials used in industry Addresses relevant algorithms and key computational techniques Provides numerical solutions of static and vibration problems associated with functionally graded beams and plates of different geometries

Author : James F. Doyle
Publisher : Springer Science & Business Media
Page : 526 pages
File Size : 54,7 Mb
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9781475735468

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Nonlinear Analysis of Thin-Walled Structures by James F. Doyle Pdf

Mechanical engineering, an engineering discipline born of the needs of the Industrial Revolution, is once again asked to do its substantial share in the call for industrial renewal. The general call is urgent as we face the profound issues of productivity and competitiveness that require engineering solutions, among others. The Mechanical Engineering Series is a new series, featuring graduate texts and research monographs, intended to address the need for information in contemporary areas of mechanical engineering. The series is conceived as a comprehensive one that will cover a broad range of concentrations important to mechanical engineering graduate education and research. We are fortunate to have a distinguished roster of consulting editors, each an expert in one of the areas of concentration. The names of the consult ing editors are listed on page vi. The areas of concentration are applied mechanics, biomechanics, computational mechanics, dynamic systems and control, energetics, mechanics of materials, processing, thermal science, and tribology. We are pleased to present Nonlinear Analysis of Thin-Walled Structures by James F. Doyle. Austin, Texas Frederick F. Ling Preface This book is concerned with the challenging subject of the nonlinear static, dynamic, and stability analyses of thin-walled structures. It carries on from where Static and Dynamic Analysis of Structures, published by Kluwer 1991, left off; that book concentrated on frames and linear analysis, while the present book is focused on plated structures, nonlinear analysis, and a greater emphasis on stability analysis.