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

Publication ,  Conference
McHugh, KA; Dowell, EH
Published in: Proceedings of the ASME Design Engineering Technical Conference
January 1, 2018

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.

Duke Scholars

Published In

Proceedings of the ASME Design Engineering Technical Conference

DOI

ISBN

9780791851838

Publication Date

January 1, 2018

Volume

6
 

Citation

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McHugh, K. A., & Dowell, E. H. (2018). Nonlinear response of an inextensible, cantilevered beam subjected to a nonconservative follower force. In Proceedings of the ASME Design Engineering Technical Conference (Vol. 6). https://doi.org/10.1115/DETC2018-85447
McHugh, K. A., and E. H. Dowell. “Nonlinear response of an inextensible, cantilevered beam subjected to a nonconservative follower force.” In Proceedings of the ASME Design Engineering Technical Conference, Vol. 6, 2018. https://doi.org/10.1115/DETC2018-85447.
McHugh KA, Dowell EH. Nonlinear response of an inextensible, cantilevered beam subjected to a nonconservative follower force. In: Proceedings of the ASME Design Engineering Technical Conference. 2018.
McHugh, K. A., and E. H. Dowell. “Nonlinear response of an inextensible, cantilevered beam subjected to a nonconservative follower force.” Proceedings of the ASME Design Engineering Technical Conference, vol. 6, 2018. Scopus, doi:10.1115/DETC2018-85447.
McHugh KA, Dowell EH. Nonlinear response of an inextensible, cantilevered beam subjected to a nonconservative follower force. Proceedings of the ASME Design Engineering Technical Conference. 2018.

Published In

Proceedings of the ASME Design Engineering Technical Conference

DOI

ISBN

9780791851838

Publication Date

January 1, 2018

Volume

6