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Toward geometric structure-preserving simulation of interconnected mechanical systems

Helen Parks


Many mechanical systems can be viewed as interconnected collections of sub-systems. It is often advantageous to model such systems at the level of sub-systems with interaction forces and constraints. Unfortunately, most current methods for deriving structure-preserving numerical integrators are ill-equipped to handle external forces and possibly non-holonomic constraints. This talk examines recent developments in geometric mechanics and discrete variational mechanics which lay the foundation for developing geometric structure-preserving numerical integrators that can incorporate forces, constraints, and interconnection.

Tuesday, January 22, 2013
11:00AM AP&M 2402