Computerized symbolic manipulation in mechanics : [the International Centre for Mechanical Sciences in Udine, Italy, has organized a Course on Computerized Symbolic Manipulation in Mechanics in 1993

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. Front Matter....Pages ii-vii Generation of Symbolic Equations of Motion of Multibody Systems....Pages 1-65 Computer Algebra Software for Scientific Applications....Pages 67-117 Computerized Symbolic Manipulation in Structural Mechanics....Pages 119-147 Perturbation Methods and Computer Algebra in Mechanics....Pages 149-199 Analysis of Nonlinear Dynamic Engineering Systems....Pages 201-262