 
Summary: A StateTime Formulation for Dynamic Systems Simulation
Using Massively Parallel Computing Resources
Kurt S. Anderson, Associate Professor (anderk5@rpi.edu)
and Mojtaba Oghbaei, Doctoral Student (oghbam@rpi.edu)
Department of Mechanical, Aerospace, and Nuclear Engineering, Rensselaer
Polytechnic Institute, 110 8th Street, Troy, New York 121803590
Phone (518)2762339 / Fax (518)2762623
Nonlinear Dynamics, NODY 0472, In Press
Abstract. A novel statetime formulation for the simulation and analysis of the dy
namic behavior of complex multibody systems is presented. The method proposes a
computationally fast algorithm which is better able to fully exploit anticipated future
immensely parallel computing resources (e.g. pecta flop machines and beyond) than
existing multibody algorithms. The intent of the algorithm is to yield significantly
reduced simulation turnaround time in situations where massively parallel (> 106
processors) computing resources are available to it. It is shown that as a consequence
of such a statetime discretization scheme, the system of governing equations yields a
set of loosely coupled nonlinear algebraic equations which is at most quadratic in the
statetime variables, with significant linear components. As such, it is wellsuited in
structure for nonlinear algebraic equations solvers. The linearquadratic structure
of these equations further permits the use of a special solution scheme, which is
