Session: VIB-02/MSNDC-10-03

Paper Number: 143874

143874 - Effects of High Frequency Horizontal Base Excitation on a Bistable System 

High frequency excitation (HFE) is known to induce various non-trivial effects, such as system stiffening, biasing, and the smoothing of discontinuities in dynamical systems. These effects become increasingly pertinent in multi-stable systems, where the system's bias towards a certain equilibrium state can depend heavily on the combination of forcing parameters, leading to stability in some scenarios and instability in others. In this initial investigation, our objective is to pinpoint the specific parameter ranges wherein the bistable system demonstrates typical HFE effects, both through numerical simulations and experimental observations. To accomplish this, we utilize the method of multiple scales to analyze the interplay among different time scales. The equation of slow dynamics reveals how the excitation parameters lead to a change in stability of equilibrium points. Additionally, we delineate the parameter ranges where stabilizing previously unstable equilibrium configurations is achievable. We demonstrate the typical positional biasing effect of high frequency excitation that leads to a shift in the equilibrium points as the excitation parameter is varied. We also demonstrate how this kind of excitation can enable the active shaping of potential wells by changing the excitation parameters. Finally, we validate our numerical findings through experimental testing using a simplistic model made with LEGOs.

Presenting Author: Pritam Ghoshal Purdue University

Presenting Author Biography: He is a graduate research assistant at Purdue University in the Department of Mechanical Engineering. He is currently working with Prof. James Gibert and co-supervised by Prof. Anil Bajaj. His research interests lie in the field of nonlinear dynamics of mechanical system and smart materials.

Authors:

Pritam Ghoshal Purdue University
James Gibert Purdue University
Anil Bajaj Purdue University