Dynamics of spatial beams in quaternion description based on the Newmark integration scheme

Quaternion-based dynamics of geometrically nonlinear spatial beams using the Runge–Kutta method

(2012) E. Zupan et al.   FINITE ELEMENTS IN ANALYSIS AND DESIGN

Integrating rotation from angular velocity

(2011) Eva Zupan et al.   ADVANCES IN ENGINEERING SOFTWARE

Multi-body dynamics simulation of geometrically exact Cosserat rods

(2010) Holger Lang et al.   MULTIBODY SYSTEM DYNAMICS

The quaternion-based three-dimensional beam theory

(2009) E. Zupan et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Rigid body dynamics in terms of quaternions: Hamiltonian formulation and conserving numerical integration

(2009) Peter Betsch et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

An exact conserving algorithm for nonlinear dynamics with rotational DOFs and general hyperelasticity. Part 1: Rods

(2008) P. M. Pimenta et al.   COMPUTATIONAL MECHANICS

Consistent quaternion interpolation for objective finite element approximation of geometrically exact beam

(2008) S. Ghosh et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A nonlinear beam element formulation in the framework of an energy preserving time integration scheme for constrained multibody systems dynamics

(2007) Elisabet V. Lens et al.   COMPUTERS & STRUCTURES