On the Equations of Kinematics and Dynamics of Constrained Mechanical Systems

The method of constructing of kinematical and dynamical equations of mechanical systems, applied to numerical realization, is proposed in this paper. The corresponding difference equations, which are obtained, give a guarantee of computations with given precision. The equations of programmed constraints and those of constraint perturbations are defined. The stability of the programmed manifold for numerical solutions of the kinematical and dynamical equations is obtained by means of corresponding construction of the constraint perturbation equations. The dynamical equations of system with programmed constraints are set up in the form of Lagrange equations in generalized coordinates. Certain inverse problems of rigid body dynamics are considered.

Авторы
Редакторы
-
Издательство
-
Номер выпуска
1
Язык
Английский
Страницы
17-28
Статус
Опубликовано
Подразделение
-
Номер
-
Том
6
Год
2001
Организации
  • 1 Russ. Peoples Friendship University, Mikluho-Maklaya 6, 117198 Moscow, Russian Federation
Ключевые слова
Constraints; Differential-algebraic equations; Dynamical equations; Kinematics; Lagranges equations; Numerical solution; Rigid body
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/275/