Nonlinear response of an inextensible, cantilevered beam subjected to a nonconservative follower force


Conference Paper

Copyright © 2018 ASME The dynamic stability of a cantilevered beam actuated by a nonconservative follower force has previously been studied for its interesting dynamical properties and its applications to engineering designs such as thrusters. However, most of the literature considers a linear model. A modest number of papers considers a nonlinear model. Here, a system of nonlinear equations is derived from a new energy approach for an inextensible cantilevered beam with a follower force acting upon it. The equations are solved in time, and agreement is shown with published results for the critical force including the effects of damping (as determined by a linear model). This model readily allows the determination of both in-plane and out-of-plane deflections as well as the constraint force. With this novel transparency into the system dynamics, the nonlinear post-critical limit cycle oscillations are studied including a concentration on the force which enforces the inextensibility constraint.

Full Text

Duke Authors

Cited Authors

  • McHugh, KA; Dowell, EH

Published Date

  • January 1, 2018

Published In

  • Proceedings of the Asme Design Engineering Technical Conference

Volume / Issue

  • 6 /

International Standard Book Number 13 (ISBN-13)

  • 9780791851838

Digital Object Identifier (DOI)

  • 10.1115/DETC2018-85447

Citation Source

  • Scopus