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The realization of unilateral constraints in mechanical systems with kinetic energy decay

โœ Scribed by T.V. Popova

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
381 KB
Volume
70
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

A method of realizing unilateral constraints by introducing a small parameter into the kinetic energy, such that the kinetic energy of the system degenerates on a certain manifold in configuration space when the parameter is equal to zero, is considered. The behaviour of the system in the neighbourhood of the degeneracy manifold in the multidimensional case when the small parameter approaches zero is investigated. The results obtained are used in the problem of the motion of a double mathematical pendulum when the mass of the point closest to the suspension point is small.

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A method for the numerical integration of mechanical systems with unilateral constraints: study of impact in multibody systems
โœ Vojin Drenovac ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 452 KB

A&tract: Study of mechanical systans with unilateral constraints is associated with forming two systems of equations, a system of differential equations 4 a system of algebraical equations. Differential equations are used to describe the lrotion until the nmentof impact, i.e. until activation of uni