RITZ-Generated Models of Elastic Deformable Bodies in Hybrid Multibody Dynamics

摘要

The differential geometric objects g_(ij), Γ_(ij)~k and the shape-numbers Φ_(v_i), Φ_(v_r μ_s) and Ψ_(μ_s)~s in Eq. (4) can be computed using symbolic computation program Maple in various curvilinear coordinate systems (spherical, cylindrical etc.). They are necessary for the calculation of geometric stiffness coefficientss in Eq. (7) and for the generation of geometric constraints in Eq. (8). Moreover, it is very important to find the shape-functions φ_v(ξ) (see. [4]) for various elastic deformable bodies with corresponding geometric boundary conditions and to evaluate the approximation errors using shape-functions. RITZ-generated models of elastic deformable bodies will be implemented into MBS-Tool alaska (acronym for advanced lagrangian solver in kinetic analysis).