Unexpected Responses to Low-Periodic Shaking
Department (Manual Entry)
Dept. of Mathematics and Computer Science
This paper had its origin in a curious discovery by the first author in research performed with an undergraduate student. The following odd fact was noticed: when a mechanical model of a suspension bridge (linear near equilibrium but allowed to slacken at large distance in one direction) is shaken with a low-frequency periodic force, several different periodic responses can result, many with high-frequency components.
Humphreys, L.D. & McKenna, P.J. (2005). When a mechanical model goes nonlinear: Unexpected responses to low-periodic shaking. The American Mathematical Monthly, 112(10), 861-875. doi:10.2307/30037627