On the analytical mechanics methods in mathematical modeling the dynamics systems with geometric constraints
Year: 2025
Type: article
Abstract: A necessary condition for the most effective application of the mathematical control theory results to the modern automatic devices dynamics сonsideration is the presence of an adequate nonlinear mathematical model obtained by strict general methods. Methods for reducing the dimensions of dynamic models of systems with geometric constraints by analytical mechanics methods for non-free systems are considered due to the transition to equations in redundant coordinates free of constraint multipliers. A detailed algorithm for this procedure and its justification is given. Using the theory of critical cases, a complete solution is given to the stabilizing problem of a given configuration of systems with geometric constraints.
Source: Mechanical Engineering Advances
DOI: 10.59400/mea2512
Author: Aleksandr Ya Krasinskiy
Institution: Moscow Aviation Institute
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4411668112