A Finite Element Geometrically Nonlinear Dynamic Formulation of Flexible Multibody Systems Using a New Displacements Representation

摘要: In previous work (Mayo, 1993), the authors developed two geometrically nonlinear formulations of beams inflexible multibody systems. One, like most related methods, includes geometric elastic nonlinearity in motion equations via stiffness terms (Mayo and Dominguez, 1995), but preserving terms, expression for strain energy, a higher-order than available formulations. The other formulation relies on distinguishing contribution foreshortening effect from that modelling displacement point. While including exactly same generated by this are exclusively limited to constant matrix linear analysis because arising moved forces inertial, reactive external forces, which originally nonlinear. This was reported paper et al, 1995) used conjunction with assumed-modes method. aim present is implement second basis finite-element If, addition, component mode synthesis method applied reduce number degrees freedom, proposed takes account transverse displacements occurring during bending without need include any axial vibration modes. makes particularly efficient computational numerically more stable alternative based lower-order terms.