10:00 AM-12:30 PM
Room: White Pine
The speakers in this minisymposium will address theoretical and computational aspects of nonlinear dynamics of solids especially structures such as shells and rods used by engineers. Energy-momentum and dissipative integration schemes, reduction methods, existence of inertial manifolds, chaotic and regular motion in shells are some aspects of the minisymposium: (1) Since the stability property of time integration schemes become very important when dealing with very large systems, robust integration schemes have to be constructed. Efforts recently taken in developing mechanical integrators that preserve the essential features of the mechanical system, e.g., the momemtum, the energy, or the symplectic structure, will be focused on. (2) Several ideas of extending some techniques and applications of reduction methods, that were originally developed in the context of Fluid Mechanics, to the context of the Theory of Elasticity and Solid Structures will be given. Applications to mechanical structures of the POD method, the nonlinear Galerkin or the post processed Galerkin method to approximate Inertial Manifolds, will be discussed. (3) Birfurcations, chaotic and free large over-all motion of such structures are of interest and will be taken as examples.
Organizers: Peter Wriggers and Carlo Sansour
Darmstadt University of Technology, Germany