Experimental mimicry of Duffing's equation


Journal Article

Extensive analytical and numerical investigations have focused on Duffing's equation. However, experimental work, in a mechanics context, has been limited to studying systems the stiffness characteristics of which can be approximated by a non-linear (cubic) restoring force; e.g., a buckled beam excited transversely or a rigid pendulum undergoing moderately large amplitude motion. This work describes a novel experimental approach whereby a particle/rigid body is contrived to mimic the behavior of Duffing's equation. This is a direct extension of the concept of a ball rolling on a double-well potential energy surface. Both free and forced oscillations are considered, illustrating familiar non-linear dynamics features including competing steady state attractors, hysteresis, sensitivity to initial conditions, subharmonic oscillations and chaos. © 1992.

Full Text

Duke Authors

Cited Authors

  • Gottwald, JA; Virgin, LN; Dowell, EH

Published Date

  • November 8, 1992

Published In

Volume / Issue

  • 158 / 3

Start / End Page

  • 447 - 467

Electronic International Standard Serial Number (EISSN)

  • 1095-8568

International Standard Serial Number (ISSN)

  • 0022-460X

Digital Object Identifier (DOI)

  • 10.1016/0022-460X(92)90419-X

Citation Source

  • Scopus