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.

Authors
Number of issue
1
Language
English
Pages
17-28
Status
Published
Volume
6
Year
2001
Organizations
  • 1 Russ. Peoples Friendship University, Mikluho-Maklaya 6, 117198 Moscow, Russian Federation
Keywords
Constraints; Differential-algebraic equations; Dynamical equations; Kinematics; Lagranges equations; Numerical solution; Rigid body
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/275/