Geometrically exact 3D beam element for arbitrary large rigid-elastic deformation analysis of aerospace structures

摘要: This paper presents a geometrically exact beam theory and corresponding displacement-based finite-element formulation for modeling analysis of highly flexible components multibody systems undergoing huge static/dynamic rigid-elastic deformations. fully accounts geometric nonlinearities initial curvatures beams by using Jaumann strains, concepts local displacements orthogonal virtual rotations, three Euler angles to exactly describe the coordinate transformation between undeformed deformed configurations. To demonstrate accuracy capability this nonlinear element, analyses are performed, including free falling after releasing from statically twisted bended configuration, slewing horizontal with/without tip mass, spinup helicopter rotor blade. These numerical results reveal that proposed element is accurate versatile with components.