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Computerized Symbolic Manipulation in Mechanics

Computerized Symbolic Manipulation in Mechanics
Author: Edwin Kreuzer
Publisher: Springer
Total Pages: 265
Release: 2014-05-04
Genre: Technology & Engineering
ISBN: 3709130107

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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.


Applied Mechanics Reviews

Applied Mechanics Reviews
Author:
Publisher:
Total Pages: 804
Release: 1971
Genre: Mechanics, Applied
ISBN:

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Fracture Mechanics

Fracture Mechanics
Author: Satya N. Atluri
Publisher: ASTM International
Total Pages: 448
Release: 1992
Genre: Elasticity
ISBN: 0803114400

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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


Computers and Mathematics

Computers and Mathematics
Author: Erich Kaltofen
Publisher: Springer Science & Business Media
Total Pages: 336
Release: 2012-12-06
Genre: Computers
ISBN: 1461396476

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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.


Computer Algebra Methods for Equivariant Dynamical Systems

Computer Algebra Methods for Equivariant Dynamical Systems
Author: Karin Gatermann
Publisher: Springer
Total Pages: 163
Release: 2007-05-06
Genre: Mathematics
ISBN: 3540465197

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This book starts with an overview of the research of Gröbner bases which have many applications in various areas of mathematics since they are a general tool for the investigation of polynomial systems. The next chapter describes algorithms in invariant theory including many examples and time tables. These techniques are applied in the chapters on symmetric bifurcation theory and equivariant dynamics. This combination of different areas of mathematics will be interesting to researchers in computational algebra and/or dynamics.


Computational Methods in Nonlinear Structural and Solid Mechanics

Computational Methods in Nonlinear Structural and Solid Mechanics
Author: Ahmed K. Noor
Publisher: Elsevier
Total Pages: 472
Release: 2014-05-20
Genre: Mathematics
ISBN: 1483145646

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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.


Mechatronics by Bond Graphs

Mechatronics by Bond Graphs
Author: Vjekoslav Damic
Publisher: Springer
Total Pages: 521
Release: 2016-01-14
Genre: Technology & Engineering
ISBN: 3662490048

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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.