Experimental validation of a model for a self-adaptive beam-slider system

TL;DR

This paper refines and experimentally validates a model for a self-adaptive beam-slider system, demonstrating its accuracy in predicting diverse dynamic behaviors and supporting future optimization for applications like energy harvesting.

Contribution

The work improves the system model by considering beam clamping stiffness and validates it through extensive experiments with a new prototype.

Findings

Model accurately predicts system behavior across excitation conditions

Experimental results match simulations both qualitatively and quantitatively

Minor deviations due to uncertainties like friction and natural frequency

Abstract

A system consisting of a doubly clamped beam with an attached body (slider) free to move along the beam has been studied recently by multiple research groups. Under harmonic base excitation, the system has the capacity to passively adapt itself (by slowly changing the slider position) to yield either high or low vibrations. The central contributions of this work are the refinement of the recently developed system model with regard to the finite stiffness of the beam's clamping, followed by a thorough validation of this model against experimental results. With the intent to achieve repeatable and robust self-adaption, a new prototype of the system was designed, featuring, in particular, a continuously adjustable gap size and a concave inner contact geometry. The initial beam model is updated based on the results of an Experimental Nonlinear Modal Analysis of the system (without slider). By varying the excitation level and frequency in a wide range, all known types of behavior were reproduced in the experiment. The simulation results of the updated model with slider are in excellent agreement with the measurements, both qualitatively (type of behavior) and quantitatively. Minor deviations are attributed to the system's sensitivity to inevitable uncertainties, in particular with regard to the friction coefficient and the linear natural frequency. It is thus concluded that the proposed model is well-suited for further analysis of its intriguing dynamics and for model-based optimization for technical applications such as energy harvesting.