Geometric and material nonlinear deformations in flexible multibody systems. (Q2767991)

General formulation for the analysis of flexible multibody systems is reviewed in this paper. A multibody system is a collection of rigid and flexible bodies joined together with kinematic joints and force elements. The main feature of the methodology is its ability to describe the motion of the flexible body including its nonlinear deformations and the inertial coupling between them and its gross rigid body motion. Using an update Lagrangean formulation, general equations of motion are obtained for flexible bodies, and modeling of geometric and material nonlinearities is possible. This formulation is applied to linear and nonlinear geometric and material deformations. The proposed methodology shows that if the flexible body material behavior is linear and the deformations are small, then the equations obtained can be greatly simplified by using the component mode synthesis. To demonstrate the proposed methodology, a slider-crank model with flexible connecting rod and the spin-up maneuver of rotating beam are used .NEWLINENEWLINEFor the entire collection see [Zbl 0972.00063].