Dynamic analysis of 3D beams with joints in presence of large rotations
In this paper we present a way to extend the earlier static masterslave formulation for beams and joints [1] to dynamic problems. The dynamic masterslave approach is capable of (i) handling the problems of linear elasticity in a geometrically non-linear environment, (ii) accounting for the non-linear kinematics of arbitrary types of joints and (iii) performing the numerical time integration while preserving some of the important constants of motion like total energy and the total momenta for Hamiltonian systems in the absence of external loading. The performance of the formulation is demonstrated with the aid of two representative numerical examples.
master-slave technique multi-body dynamics conserving dynamic integrators 3d rotations flexible mechanisms