On the numerical integration of rigid body nonlinear dynamics in presence of parameters singularities

Revista Brasileira de Ciencias Mecanicas/Journal of the Brazilian Society of Mechanical Sciences

Volumn 23, Issue 1, 2001, Pages 49-62

  Trindade, M A ^a   Sampaio, R ^a  

^a PONTIFICAL CATHOLIC UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

Euler's angles; Finite rotations; Heavy top; Nonlinear dynamics; Representation singularities; Rotation vector

Indexed keywords

ALGEBRA; COMPUTER SIMULATION; CONSTRAINT THEORY; DEGREES OF FREEDOM (MECHANICS); DIFFERENTIAL EQUATIONS; INTEGRATION; MATHEMATICAL MODELS;

EULER'S ANGLES;

DYNAMICS;

EID: 0035063131     PISSN: 01007386     EISSN: None     Source Type: Journal    
DOI: 10.1590/S0100-73862001000100005     Document Type: Article

References (18)

1. An excursion into large rotations
2. Rotations in computational solid mechanics
3. Large displacement analysis of three-dimensional beam structures
4. On the parametrization of finite rotations in computational mechanics: A classification of concepts with application to smooth shells
5. Energy conserving time integration for multibody dynamics application to top motion
6. Parametrization of finite rotations in computational dynamics: A review
7. Computational aspects of vector-like parametrization of three-dimensional finite rotations
8. Non-linear rigid body dynamics: Energy and momentum conserving algorithm
9. On the simulation of the dynamics of rigid bodies
10. The MATLAB ODEsuite
11. Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum
12. On the parametrization of the three-dimensional rotation group
13. A numerical analysis of the singularities of the Euler's angles
14. Review on finite rotations parametrization for rigid body dynamics (in Portuguese)