Papers Published

1. Snyder, J.M. and Wilson, J.F., Dynamics of the elastica with end mass and follower loading, Journal of Applied Mechanics, Transactions ASME, vol. 57 no. 1 (1990), pp. 203 - 208 .
   (last updated on 2007/04/09)

   Abstract:
   Orthotropic, polymeric tubes subjected to internal pressure may undergo large deformations while maintaining linear moment-curvature behavior. Such tubes are modeled herein as inertialess, elastic cantilever beams (the elastica) with a payload mass at the tip and with internal pressure as the eccentric tip follower loading that drives the configurations through large deformations. From the nonlinear equations of motion, dynamic beam trajectories are calculated over a range of system parameters for the special case of a point mass at the tip and a terminated ramp pressure loading. The dynamic responses, which are unique because the loading history and the range of motion are fully defined.

   Keywords:
   Structural Analysis--Dynamic Response;Robots, Industrial--Manipulators;Equations of Motion;Polymers;Mathematical Models;