Numerical integration of the equations of motion of structural systems undergoing large 3D rotations: dynamics of corotational slender beam elements

摘要: This paper deals with the numerical simulation of dynamic response frame structures undergoing large displacements and 3D rotations.The corotational geometrically exact approaches are combined in formulation a beam element. Inertia forces evaluated starting from an expression element kinetic energy. last is defined only terms nodal variables global inertial mechanical problem, so to avoid cumbersome calculations coming decomposition motion. The proposed procedure formally independent definition corotated frame. performance discussed reference some classic benchmarks involving slender rotations displacements.