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Author: N. Kikuchi Publisher: SIAM ISBN: 9781611970845 Category : Science Languages : en Pages : 508
Book Description
The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes. Among the novel results presented here are algorithms for contact problems with nonlinear and nonlocal friction, and very effective algorithms for solving problems involving the large elastic deformation of hyperelastic bodies with general contact conditions. Includes detailed discussion of numerical methods for nonlinear materials with unilateral contact and friction, with examples of metalforming simulations. Also presents algorithms for the finite deformation rolling contact problem, along with a discussion of numerical examples.
Author: N. Kikuchi Publisher: SIAM ISBN: 9781611970845 Category : Science Languages : en Pages : 508
Book Description
The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes. Among the novel results presented here are algorithms for contact problems with nonlinear and nonlocal friction, and very effective algorithms for solving problems involving the large elastic deformation of hyperelastic bodies with general contact conditions. Includes detailed discussion of numerical methods for nonlinear materials with unilateral contact and friction, with examples of metalforming simulations. Also presents algorithms for the finite deformation rolling contact problem, along with a discussion of numerical examples.
Author: J Whiteman Publisher: Elsevier ISBN: 0323143717 Category : Mathematics Languages : en Pages : 669
Book Description
The Mathematics of Finite Elements and Applications V is the summary of invited papers and the abstracts of the poster papers in the fifth conference on The Mathematics of Finite Elements and Applications, MAFELAP 1984, held at Brunei University in May 1984. Said symposium discussedfield of finite elements, including its techniques, theory, application, and implementation . The coverage of the book includes a wide range of mathematical topics under finite elements, including its method, calculations, analysis, and applications. The book also encompasses topics of computer-generated geometric design interface; modeling in an integrated computer design; and determination of dimensional field lines. Acidized channels in chalk formations, elastodynamics, stress analysis, and infinite elements are also discussed. The book also looks at isoparametric and hierarchical element procedures and Petrov-Galerkin methods. The text is recommended for mathematicians, engineers, and those in the field of information technology who would like to know more about finite elements and its applications in their respective fields.
Author: Walter Sextro Publisher: Springer Science & Business Media ISBN: 3540468714 Category : Science Languages : en Pages : 163
Book Description
The aim of this book is to describe an efficient procedure to model dynamical contact problems with friction. This procedure is applied to different practical problems and validated by experiments. Friction contacts are used to transmit forces or to dissipate energy. Examples for dynamical engineering systems with friction are brakes, machine tools, motors, turbines, bearings or wheel-rail systems. A better understanding of friction phenomena can result in improvements like the reduction of noise and maintenance costs, increased life time of machines and improved energy efficiency. Dependent on the features of the friction contact, different contact models and solution methods are applied.
Author: Ahmed A. Shabana Publisher: John Wiley & Sons ISBN: 1119689082 Category : Technology & Engineering Languages : en Pages : 384
Book Description
MASTER AND INTEGRATE THE GEOMETRY AND MECHANICS OF RAILROAD VEHICLE SYSTEM ENGINEERING WITH ONE PRACTICAL RESOURCE Mathematical Foundation of Railroad Vehicle Systems: Geometry and Mechanics delivers a comprehensive treatment of the mathematical foundations of railroad vehicle systems. The book includes a strong emphasis on the integration of geometry and mechanics to create an accurate and accessible formulation of nonlinear dynamic equations and general computational algorithms that can be effectively used in the virtual prototyping, analysis, design, and performance evaluation of railroad vehicle systems. Using basic concepts, formulations, and computational algorithms, including mechanics-based approaches like the absolute nodal coordinate formulation (ANCF), readers will understand how to integrate the geometry and mechanics of railroad vehicle systems. The book also discusses new problems and issues in this area and describes how geometric and mechanical approaches can be used in derailment investigations. Mathematical Foundation of Railroad Vehicle Systems covers: The mathematical foundation of railroad vehicle systems through the integration of geometry and mechanics Basic concepts, formulations, and computational algorithms used in railroad vehicle system dynamics New mechanics-based approaches, like the ANCF, and their use to achieve an integration of geometry and mechanics Use of geometry and mechanics to study derailments New problems and issues in the area of railroad vehicle systems Designed for researchers and practicing engineers who work with railroad vehicle systems, Mathematical Foundation of Railroad Vehicle Systems: Geometry and Mechanics can also be used in senior undergraduate and graduate mechanical, civil, and electrical engineering programs and courses.
Author: Vijay Garg Publisher: Elsevier ISBN: 0323151086 Category : Technology & Engineering Languages : en Pages : 422
Book Description
Dynamics of Railway Vehicle Systems offers a comprehensive and analytical treatment of the rail-wheel interaction problem and its effect on vehicle dynamics. The development of mathematical models and their applications to dynamic analyses and the design of railway vehicles are discussed. This book consists of 11 chapters and opens with an overview of the background material required to study the dynamics of railway vehicles, with emphasis on analytical techniques used to determine the dynamic response of single- and multiple-degree-of-freedom systems. Numerical solutions of linear and nonlinear dynamic systems are also given, and various problems associated with the dynamic behavior of railway vehicles are addressed. Several mathematical models are proposed to study these problems. The following chapters focus on the wheel-rail rolling contact theories being applied in railway vehicle dynamics problems; modeling of the vehicle and its components on both tangent and curved railroad tracks; and the interaction between railway vehicles and bridges. The final chapter underscores the needs for validating mathematical models that are used to study the dynamic behavior of railway vehicles and train consists. This monograph will be of value to design and research engineers, transportation officials, mathematicians, analysts, and research workers interested in the dynamics of railway vehicle systems.
Author: J.J. Kalker Publisher: Springer Science & Business Media ISBN: 9401578893 Category : Science Languages : en Pages : 331
Book Description
This book is intended for mechanicians, engineering mathematicians, and, generally for theoretically inclined mechanical engineers. It has its origin in my Master's Thesis (J 957), which I wrote under the supervision of Professor Dr. R. Timman of the Delft TH and Dr. Ir. A. D. de Pater of Netherlands Railways. I did not think that the surface of the problem had even been scratched, so I joined de Pater, who had by then become Professor in the Engineering Mechanics Lab. of the Delft TH, to write my Ph. D. Thesis on it. This thesis (1967) was weil received in railway circles, which is due more to de Pater's untiring promotion than to its merits. Still not satisfied, I feit that I needed more mathe matics, and I joined Professor Timman's group as an Associate Professor. This led to the present work. Many thanks are due to G. M. L. Gladwell, who thoroughly polished style and contents of the manuscript. Thanks are also due to my wife, herself an engineering mathematician, who read the manuscript through critically, and made many helpful comments, to G. F. M. Braat, who also read an criticised, and, in addition, drew the figures together with J. Schonewille, to Ms. A. V. M. de Wit, Ms. M. den Boef, and Ms. P. c. Wilting, who typed the manuscript, and to the Publishers, who waited patiently. Delft-Rotterdam, 17 July 1990. J. J.
Author: Ahmed A. Shabana Publisher: CRC Press ISBN: 1420045857 Category : Science Languages : en Pages : 362
Book Description
Computational multibody system approaches have been extensively used in modeling many physical systems. Railroad Vehicle Dynamics: A Computational Approach presents computational multibody system formulations that can be used to develop computer models for complex railroad vehicle systems. Focusing on nonlinear formulations, this book explains the limitations of linearized formulations that are frequently used in analysis. Vehicle/rail interaction, a distinguishing feature of railroad vehicle systems, requires a special force or kinematic element to be included in multibody system algorithms. Using this approach, the authors address and solve geometric problems that are specific to railroad vehicle systems.
Author: N. Kikuchi
Author: N. Kikuchi
Author: J Whiteman
Author: Walter Sextro
Author: Ahmed A. Shabana
Author: Vijay Garg
Author: 
Author: William John Macquorn Rankine
Author: William John Macquorn Rankine
Author: J.J. Kalker
Author: Ahmed A. Shabana