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Multibody systems with unilateral constraints
โ Scribed by F. Pfeiffer
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 398 KB
- Volume
- 65
- Category
- Article
- ISSN
- 0021-8928
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โฆ Synopsis
A brief survey of theoretical and practical applications of the complementarity principle in multibody systems with many multiple unilateral contacts is presented. Considered in a straightforward manner such systems involve a combinatorial problem of many dimensions, which can only be solved reasonably by the introduction of the complementarity idea. This states that for unilateral contacts either the relative kinematics are zero and the corresponding constraint forces are non-zero, or vice versa. Relations between the complementarity problem and linear programming problems are discussed.
๐ SIMILAR VOLUMES
Derivations and formulations are given of the variational principles of analytical mechanics for systems with unilateral ideal smooth constraints, originally established for systems with bilateral constraints. The virtual work principle, the Fourier inequality, the d'Alembert-Lagrange principle, the
Mechanical systems with a finite number of degrees of freedom, subject to one or more unilateral geometric constraints, are considered. Apart from the main forms of motion--flying, supported motion and non-degenerate collisions---such systems also show more complex, discontinuous motions, including