Sunday, May 23
MS10
Nonlinear Dynamics of Solids, Shells, and Rods
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
10:00-10:25
Postprocessing Galerkin Methods
- Edriss Titi, University of California, Irvine
- 10:30-10:55
Nonlinear Oscillations of a Fluid Conveying Tube with an End Mass
- Alois Steindl, Hans Troger, and Bernhard Albrecht,
Vienna University of Technology, Austria
- 11:00-11:25 Time-Stepping Algorithms with Controllable
High-Frequency Dissipation for Nonlinear Dynamics
- Francisco Armero and Ignacio Romero, University of
California, Berkeley
- 11:30-11:55
The Post-Processed Galerkin Method Applied to Nonlinear Shell Vibrations
- Carlo R. Laing, University of Pittsburgh; and Allan
McRobie, Cambridge University, United Kingdom
- 12:00-12:25
Geometric Exact Models, Energy-Momentum Methods, and Active Degrees
of Freedom for the Dynamics of Shells and Rods
- Carlo Sansour and Petter Wriggers, Organizers; and Jamal
Sansour, University of Hannover, Germany
MMD, 3/18/99