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Эта публикация цитируется в 7 научных статьях (всего в 7 статьях)
Nonholonomic mechanics
A General Method for Writing the Dynamical Equations of Nonholonomic Systems with Ideal Constraints
S. Benenti Department of Mathematics, University of Turin,
Via Carlo Alberto 10, 10123 Torino, Italy
Аннотация:
The basic notions of the dynamics of nonholonomic systems are revisited in order to give a general and simple method for writing the dynamical equations for linear as well as nonlinear kinematical constraints. The method is based on the representation of the constraints by parametric equations, which are interpreted as dynamical equations, and leads to firstorder differential equations in normal form, involving the Lagrangian coordinates and auxiliary variables (the use of Lagrangian multipliers is avoided). Various examples are illustrated.
Ключевые слова:
nonholonomic systems, dynamical systems.
Поступила в редакцию: 30.01.2008 Принята в печать: 19.06.2008
Образец цитирования:
S. Benenti, “A General Method for Writing the Dynamical Equations of Nonholonomic Systems with Ideal Constraints”, Regul. Chaotic Dyn., 13:4 (2008), 283–315
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd579 https://www.mathnet.ru/rus/rcd/v13/i4/p283
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