Horizontal pendulum with sudden changes in platform tilt

The equations of motion for a horizontal pendulum mounted to a rocking platform are developed. Equilibrium conditions are found as a function of the platform tilt angle. The equations are transformed to describe motion about the shifting equilibrium point, and an approximation for the amplitude and phase correction of the solution is developed using the method of averaging. This approximation is used to construct an iterative map that describes the pendulum angle and rotational velocity between each instance of platform rocking. Approximate analytical solutions are compared to numerical and experimental results, and ongoing work is discussed. © 2011 by ASME.

Full Text

Duke Authors

Cited Authors

  • McGehee, CC; Ballard, ZC; Mann, BP

Published Date

  • 2011

Published In

  • Proceedings of the ASME Design Engineering Technical Conference

Volume / Issue

  • 1 / PARTS A AND B

Start / End Page

  • 439 - 448

Digital Object Identifier (DOI)

  • 10.1115/DETC2011-48423

Citation Source

  • SciVal