World Scientific Series on Nonlinear Science, Series A - Vol. 17
THE ANALYSIS OF COMPLEX NONLINEAR MECHANICAL SYSTEMS: A COMPUTER ALGEBRA ASSISTED APPROACH
(WITH DISKETTE OF MAPLE PROGRAMMING)
by Martin Lessero (Royal Inst. of Tech., Stockholm, Sweden)
The book covers the fundamentals of the mechanics of multibody systems, i.e., systems of interconnected rigid bodies. A geometric view is emphasized in which the techniques and algorithms are motivated by the picture of the rigid body system as a point in the multidimensional space of all possible configurations. The reader is introduced to computer algebra methods in the form of a system, called Sophia, which is implemented in the Maple symbolic manipulation system. The first chapter provides a motivational introduction to the basic principles and an introduction to Maple. Kinematics based on the idea of tangent vectors to the configuration manifold sets the stage for dynamical analysis. The latter ranges from the Lagrange and Gibbs-Appell to Kane's equations. Coverage includes nonholonomic systems and redundant variable methods. The computer algebra methods included enable the treatment of nontrivial mechanical systems and the development of efficient numerical codes for simulation.
Contents:
- The Problems of Mechanics
- The Description of Motion
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Configuration and Motion
- Mass Point Mechanisms
- Dynamics of a Rigid Body
- Redundant Variables
- Approximate Methods
- Sophia Command Assistance
- Annotated References
Readership: Scientists interested in mechanics and dynamical systems
and computer scientists.
"This text would be excellent for a second semester course in advanced dynamics, after an introduction to conservative three dimensional dynamics of rigid bodies. Engineering libraries should have Analysis of Complex Nonlinear Mechanical Systems: A Computer Algebra Assisted Approach."
H W Haslach, Jr.
Applied Mechanics Reviews |
| 356pp |
Pub. date: Sept 1995 |
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