Download Slide () - Journal of Vibration and Acoustics

Date of download: 5/14/2017
Copyright © ASME. All rights reserved.
From: Degenerate “Star” Bifurcations in a Twinkling Oscillator
J. Vib. Acoust. 2013;136(2):021004-021004-10. doi:10.1115/1.4025442
Figure Legend:
(a) A possible arrangement of masses with magnets and linear springs to produce a chain of bistable elements. The masses consist
of magnets that are arranged in a way that they repel each other. Each mass consists of three magnets (filled circles), two on the
right (sleeve) and one on the left (tongue) except for the first and the last mass. Here y is the quasistatic pull distance of the end
spring. (b) The repelling forces fm between the magnets on the tongue and the sleeves are shown. S and N represent the south and
the north pole of the magnets, respectively, h is the separation distance between the two sleeves, and 2f mx is the resultant magnetic
force in the direction of motion of the tongue and sleeves. (c) Total nonlinear magnetic spring force (solid curve) that can be
achieved from combining the forces due to the magnets (dashed curve) and the linear spring (dotted line).