Computer Algebra Software for Scientific Applications
Computer Algebra may be pursued within a wide range of sophistication. At the lowest level there is the casual user who applies some of the system facilities e.g. to evaluate an integral, to sum a series or to find the solution of a differential equation.
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Series Editors: The Rectors of CISM Sandor Kaliszky - Budapest Mahir Sayir - Zurich Wilhelm Schneider - Wien The Secretary General of CISM Giovanni Bianchi- Milan Executive Editor Carlo Tasso- Udine
The series presents lecture notes, monographs, edited works and proceedings in the field of Mechanics, Engineering, Computer Science and Applied Mathematics. Purpose of the series in to make known in the international scientific and technical community results obtained in some of the activities organized by CISM, the International Centre for Mechanical Sciences.
INTERNA TIONAL CENTRE FOR MECHANICAL SCIENCES COURSES AND LECTURES - No. 343
COMPUTERIZED SYMBOLIC MANIPULATION IN MECHANICS
EDITED BY E.KREUZER TECHNICAL UNIVERSITY OF HAMBURG-HARBURG
~ Springer-Verlag:
~
Wien GmbH
Le spese di stampa di questo volume sono in parte coperte da
contributi del Consiglio N azÎona\e delle Ricerche.
This volume contains 64 illustrations
This work is subject to copyright. AII rights are reserved, whether the whole or part of the material is concemed specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by
phoţocopying
machine
or similar means, and storage in data banks. © 1994 by Springer-Verlag Wien Originally published by CISM, Udine in 1994.
In order to make this volume available as economically and as rapidly as possible the authors' typescripts have been reproduced in their original forms. This method unfortunalely has its typographical limitations but it is hoped that they in no way distract the reader.
ISBN 978-3-211-82616-4 ISBN 978-3-7091-3010-0 (eBook) DOI 10.1007/978-3-7091-3010-0
PREFACE
Computer modeling plays already an important role in the development of new cars or trains, in the design of bridges and light-weight structures and many other mechanical systems. Since the early days computers were seen as machines for calculating numbers in order to draw the right conclusions from the models used to describe reality. Consequently, computers are now thoroughly established as devices that can greatly ease the human burden of work. We also have access to numerical software libraries and powerful simulation packages which allow the animation of even complex systems. But it is less generally appreciated that also symbols and formulas can be automatically manipulated by symbolic mathematics computing systems or so-called computer algebra systems. With general-purpose systems we can undertake a wide variety of routine mathematical work which could never be done by paper and pencil. Such mathematical tools enhance the productivity of any scientist and engineer by increasing efficiency and reliability. Symbolic computation has been an important tool for researchers already for some time and has generated considerable interest in the area of mechanics. The International Centre for Mechanical Sciences in Udine, Italy, has organized a course on "Computerized Symbolic Manipulation in Mechanics" in 1993 in which advanced programs and theories for automatically doing math
