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A LOGARITHMIC COMPLEXITY DIVIDE-AND-CONQUER ALGORITHM FOR MULTI-FLEXIBLE ARTICULATED BODY
 

Summary: A LOGARITHMIC COMPLEXITY DIVIDE-AND-CONQUER
ALGORITHM FOR MULTI-FLEXIBLE ARTICULATED BODY
DYNAMICS
Rudranarayan M. Mukherjee , Kurt S. Anderson
Computational Dynamics Laboratory
Department of Mechanical Aerospace and Nuclear Engineering
Rensselaer Polytechnic Institute
110 8th Street. Troy NY 12180 USA
e-mail: mukher@rpi.edu, anderk5@rpi.edu
Keywords: Flexible Body Dynamics, Logarithmic Computational Complexity, Divide and
Conquer.
Abstract. This paper presents an efficient algorithm for the parallel implementation of dynam-
ics simulation and analysis of multi-flexible-body systems. This algorithm formulates and solves
the nonlinear equations of motion for mechanical systems with interconnected flexible bodies
subject to the limitations of modal superposition, and body substructuring, with arbitrarily
large rotations and translations. The large rotations or translations are modelled as rigid body
degrees of freedom associated with the interconnecting kinematic joint degrees of freedom. The
elastic deformation of the component bodies is modelled through the use of modal coordinates
and associated admissible shape functions. Apart from the approximation associated with the
elastic deformations, this algorithm is exact, non-iterative and applicable to generalized multi-

  

Source: Anderson, Kurt S. - Department of Mechanical, Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute

 

Collections: Computer Technologies and Information Sciences