✦ LIBER ✦

Stabilization of the motions of mechanical systems in prescribed phase-space manifolds

✍ Scribed by R.G. Mukharlyamov

Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 399 KB
Volume: 70
Category: Article
ISSN: 0021-8928
DOI: 10.1016/j.jappmathmech.2006.06.004

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✦ Synopsis

A method for constructing a mathematical model of the dynamics of a mechanical system is proposed. An algorithm is constructed for determining the expressions for the control forces and the components of the constraint reactions. A modification is made to the dynamic equations which enables one to solve the problem of stabilizing the constraints and which ensures the required accuracy in the numerical solution of the corresponding system of differential-algebraic equations describing the constraints imposed on the system, its kinematics and dynamics. By virtue of well-known dynamic analogies, the proposed method can be used to investigate the dynamics of different physical systems. The problem of modelling the dynamics of an adaptive optical system with two degrees of freedom is considered.

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