Computerized Symbolic Manipulation In Mechanics

Author : Edwin Kreuzer
Publisher : Springer
Page : 265 pages
File Size : 55,8 Mb
Release : 2014-05-04
Category : Technology & Engineering
ISBN : 9783709130100

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Computerized Symbolic Manipulation in Mechanics by Edwin Kreuzer Pdf

The aim of this book is to present important software tools, basic concepts, methods, and highly sophisticated applications of computerized symbolic manipulation to mechanics problems. An overview about general-purpose symbolic software is followed by general guidelines how to develop and implement high-quality computer algebra code. The theoretical background including modeling techniques for mechanical systems is provided which allows for the computer aided generation of the symbolic equation of motion for multibody systems. It is shown how the governing equations for different types of problems in structural mechanics can be automatically derived and how to implement finite element techniques via computer algebra software. Perturbation methods as a very powerful approach for nonlinear problems are discussed in detail and are demonstrated for a number of applications. The applications covered in this book represent some of the most advanced topics in the rapidly growing field of research on symbolic computation.

Author : Edwin Kreuzer
Publisher : Unknown
Page : 272 pages
File Size : 50,9 Mb
Release : 2014-09-01
Category : Electronic
ISBN : 3709130115

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Computerized Symbolic Manipulation in Mechanics by Edwin Kreuzer Pdf

Author : Ahmed K. Noor,Harvey G. McComb
Publisher : Elsevier
Page : 472 pages
File Size : 41,5 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 : Muthukrishnan Sathyamoorthy
Publisher : CRC Press
Page : 548 pages
File Size : 47,5 Mb
Release : 2017-11-22
Category : Mathematics
ISBN : 9781351359818

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Nonlinear Analysis of Structures (1997) by Muthukrishnan Sathyamoorthy Pdf

Nonlinear Analysis of Structures presents a complete evaluation of the nonlinear static and dynamic behavior of beams, rods, plates, trusses, frames, mechanisms, stiffened structures, sandwich plates, and shells. These elements are important components in a wide variety of structures and vehicles such as spacecraft and missiles, underwater vessels and structures, and modern housing. Today's engineers and designers must understand these elements and their behavior when they are subjected to various types of loads. Coverage includes the various types of nonlinearities, stress-strain relations and the development of nonlinear governing equations derived from nonlinear elastic theory. This complete guide includes both mathematical treatment and real-world applications, with a wealth of problems and examples to support the text. Special topics include a useful and informative chapter on nonlinear analysis of composite structures, and another on recent developments in symbolic computation. Designed for both self-study and classroom instruction, Nonlinear Analysis of Structures is also an authoritative reference for practicing engineers and scientists. One of the world's leaders in the study of nonlinear structural analysis, Professor Sathyamoorthy has made significant research contributions to the field of nonlinear mechanics for twenty-seven years. His foremost contribution to date has been the development of a unique transverse shear deformation theory for plates undergoing large amplitude vibrations and the examination of multiple mode solutions for plates. In addition to his notable research, Professor Sathyamoorthy has also developed and taught courses in the field at universities in India, Canada, and the United States.

Author : Anonim
Publisher : Unknown
Page : 804 pages
File Size : 55,9 Mb
Release : 1971
Category : Mechanics, Applied
ISBN : UCAL:C2682434

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Applied Mechanics Reviews by Anonim Pdf

Author : Satya N. Atluri,Ashok Saxena,David L. McDowell
Publisher : ASTM International
Page : 448 pages
File Size : 41,6 Mb
Release : 1992
Category : Elasticity
ISBN : 9780803114401

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Fracture Mechanics by Satya N. Atluri,Ashok Saxena,David L. McDowell Pdf

Papers of the June 1990 meeting held in Atlanta, Ga. The first volume (47 papers) concentrates on experimental and theoretical aspects of fracture mechanics. Volume two (26 papers) covers numerical and computational approaches. Topics include: ductile fracture, high-temperature and time-dependent fr

Author : Ahmed Khairy Noor,Harvey G. McComb
Publisher : Unknown
Page : 444 pages
File Size : 52,5 Mb
Release : 1978
Category : Antidepressants
ISBN : STANFORD:36105030521939

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Trends in Computerized Structural Analysis and Synthesis by Ahmed Khairy Noor,Harvey G. McComb Pdf

Author : Erich Kaltofen,Stephen M. Watt
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 45,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461396475

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Computers and Mathematics by Erich Kaltofen,Stephen M. Watt Pdf

Advances in computer technology have had a tremendous impact on mathematics in the last two decades. In June of 1989, an international conference was held at MIT, bringing together mathematicians and computer scientists, to survey the work that has been done in computational mathematics, to report recent results in this field, and to discuss research directions as well as educational issues. This book presents a fascinating collection of contributions on topics ranging from computational algebra, and parallel computing, to mathematics education. Mathematicians interested in the computational aspects of their discipline as well as computer scientists interested in mathematical applications will enjoy the integrative view provided by this book.

Author : American Society of Mechanical Engineers. Winter Annual Meeting
Publisher : Unknown
Page : 164 pages
File Size : 40,8 Mb
Release : 1988
Category : Fluid dynamics
ISBN : WISC:89038805198

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Symbolic Computation in Fluid Mechanics and Heat Transfer by American Society of Mechanical Engineers. Winter Annual Meeting Pdf

Author : Sumio Murakami
Publisher : Springer Science & Business Media
Page : 420 pages
File Size : 47,6 Mb
Release : 2012-02-24
Category : Technology & Engineering
ISBN : 9789400726659

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Continuum Damage Mechanics by Sumio Murakami Pdf

Recent developments in engineering and technology have brought about serious and enlarged demands for reliability, safety and economy in wide range of fields such as aeronautics, nuclear engineering, civil and structural engineering, automotive and production industry. This, in turn, has caused more interest in continuum damage mechanics and its engineering applications. This book aims to give a concise overview of the current state of damage mechanics, and then to show the fascinating possibility of this promising branch of mechanics, and to provide researchers, engineers and graduate students with an intelligible and self-contained textbook. The book consists of two parts and an appendix. Part I is concerned with the foundation of continuum damage mechanics. Basic concepts of material damage and the mechanical representation of damage state of various kinds are described in Chapters 1 and 2. In Chapters 3-5, irreversible thermodynamics, thermodynamic constitutive theory and its application to the modeling of the constitutive and the evolution equations of damaged materials are descried as a systematic basis for the subsequent development throughout the book. Part II describes the application of the fundamental theories developed in Part I to typical damage and fracture problems encountered in various fields of the current engineering. Important engineering aspects of elastic-plastic or ductile damage, their damage mechanics modeling and their further refinement are first discussed in Chapter 6. Chapters 7 and 8 are concerned with the modeling of fatigue, creep, creep-fatigue and their engineering application. Damage mechanics modeling of complicated crack closure behavior in elastic-brittle and composite materials are discussed in Chapters 9 and 10. In Chapter 11, applicability of the local approach to fracture by means of damage mechanics and finite element method, and the ensuing mathematical and numerical problems are briefly discussed. A proper understanding of the subject matter requires knowledge of tensor algebra and tensor calculus. At the end of this book, therefore, the foundations of tensor analysis are presented in the Appendix, especially for readers with insufficient mathematical background, but with keen interest in this exciting field of mechanics.

Author : Bob F. Caviness
Publisher : Springer Science & Business Media
Page : 676 pages
File Size : 41,8 Mb
Release : 1985
Category : Computer science
ISBN : 3540159843

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EUROCAL '85. European Conference on Computer Algebra. Linz, Austria, April 1-3, 1985. Proceedings by Bob F. Caviness Pdf

Author : Cornelius T. Leondes
Publisher : Routledge
Page : 338 pages
File Size : 47,6 Mb
Release : 2021-09-02
Category : Mathematics
ISBN : 9781351413237

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Structural Dynamic Systems Computational Techniques and Optimization by Cornelius T. Leondes Pdf

The finite element, an approximation method for solving differential equations of mathematical physics, is a highly effective technique in the analysis and design, or synthesis, of structural dynamic systems. Starting from the system differential equations and its boundary conditions, what is referred to as a weak form of the problem (elaborated in the text) is developed in a variational sense. This variational statement is used to define elemental properties that may be written as matrices and vectors as well as to identify primary and secondary boundaries and all possible boundary conditions. Specific equilibrium problems are also solved. This book clearly reveals the effectiveness and great significance of the finite element method available and the essential role it will play in the future as further development occurs.

Author : Vjekoslav Damic,John Montgomery
Publisher : Springer
Page : 510 pages
File Size : 42,9 Mb
Release : 2016-01-14
Category : Technology & Engineering
ISBN : 9783662490044

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Mechatronics by Bond Graphs by Vjekoslav Damic,John Montgomery Pdf

This book presents a computer-aided approach to the design of mechatronic systems. Its subject is an integrated modeling and simulation in a visual computer environment. Since the first edition, the simulation software changed enormously, became more user-friendly and easier to use. Therefore, a second edition became necessary taking these improvements into account. The modeling is based on system top-down and bottom-up approach. The mathematical models are generated in a form of differential-algebraic equations and solved using numerical and symbolic algebra methods. The integrated approach developed is applied to mechanical, electrical and control systems, multibody dynamics, and continuous systems.

Author : Isaac Elishakoff,Yiwei Li,James H. Starnes
Publisher : Cambridge University Press
Page : 354 pages
File Size : 50,5 Mb
Release : 2001-01-29
Category : Mathematics
ISBN : 9780521782104

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Non-Classical Problems in the Theory of Elastic Stability by Isaac Elishakoff,Yiwei Li,James H. Starnes Pdf

When a structure is put under an increasing compressive load, it becomes unstable and buckling occurs. Buckling is a particularly significant concern in designing shell structures such as aircraft, automobiles, ships, or bridges. This book discusses stability analysis and buckling problems and offers practical tools for dealing with uncertainties that exist in real systems. The techniques are based on two complementary theories which are developed in the text. First, the probabilistic theory of stability is presented, with particular emphasis on reliability. Both theoretical and computational issues are discussed. Secondly, the authors present the alternative to probability based on the notion of 'anti-optimization', a theory that is valid when the necessary information for probabilistic analysis is absent, that is, when only scant data are available. Design engineers, researchers, and graduate students in aerospace, mechanical, marine, and civil engineering who are concerned with issues of structural integrity will find this book a useful reference source.

Author : Nail H. Ibragimov
Publisher : CRC Press
Page : 572 pages
File Size : 49,6 Mb
Release : 1995-10-24
Category : Mathematics
ISBN : 0849394198

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CRC Handbook of Lie Group Analysis of Differential Equations by Nail H. Ibragimov Pdf

Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra. Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-Bäcklund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.