The analysis and implementation of a step-by-step algorithm conceived to preserve scalar invariants of motion (i.e. angular mo- mentum and energy) of a rigid body in the integration of non-linear dynamic equations is presented here. The considered rigid body is subjected to generic translational and rotational motions with large displacements and finite rotations. The algorithm is implemented in a new effcient C++ f.e.m. code which allows an easy performance of several numerical applications.
Conservation of angular momentum and energy in the integration of non-linear dynamic equations
MAIORANA, CARMELO;PELLEGRINO, CARLO
1999
Abstract
The analysis and implementation of a step-by-step algorithm conceived to preserve scalar invariants of motion (i.e. angular mo- mentum and energy) of a rigid body in the integration of non-linear dynamic equations is presented here. The considered rigid body is subjected to generic translational and rotational motions with large displacements and finite rotations. The algorithm is implemented in a new effcient C++ f.e.m. code which allows an easy performance of several numerical applications.
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