Critical study of Newmark-scheme on manifold of finite rotations

Computer Methods in Applied Mechanics and Engineering

Volumn 191, Issue 8-10, 2001, Pages 817-828

  Mäkinen, Jari ^a  

^a TTKK   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

ANGLE MEASUREMENT; METHOD OF MOMENTS; ROTATION; VECTORS;

TIME STEPPING SCHEME;

MECHANICS;

MANIFOLD;

EID: 0035930926     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(01)00291-2     Document Type: Article

References (12)

1. An excursion into large rotations
2. Large rotation angles revisited application of Lie algebra
3. A beam finite element non-linear theory with finite rotations
4. Finite rotations in dynamics of beams and implicit time-stepping schemes
5. On the dynamics in space of rods undergoing large motion - A geometrically exact approach
6. The Hamiltonian structure of nonlinear elasticity: The material and convective representation of solids, rods, and plates
7. Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum
8. On the parametrization of the three-dimensional rotation group