Bifurcation analysis and complex phenomena in self-excited microcantilevers

Gelli, Matilde, Mouro, Joao, Paoletti, Paolo ORCID: 0000-0001-6131-0377, Tiribilli, Bruno and Basso, Michele (2023) Bifurcation analysis and complex phenomena in self-excited microcantilevers. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 123. p. 107294.

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Official URL: http://dx.doi.org/10.1016/j.cnsns.2023.107294

Abstract

Sensors based on self-excitation of microcantilevers have been proposed as effective devices for the measurement of rheological properties of the fluid where they are immersed. However, embedding microcantilevers in a feedback loop causes complex phenomena that need to be investigated. Specifically, a variable delay in the loop originates jumps in the oscillation frequency. In this paper, we study the nonlinear dynamics of a self-excited microcantilever oscillating in viscous fluids. Using DDE-Biftool, a Matlab package for numerical bifurcation analysis of DDEs, we investigate the bifurcations of periodic solutions in one and two parameters. The numerical results are compared with some experimental data of previous studies.

Item Type:	Article
Uncontrolled Keywords:	DDE-Biftool, Microcantilever, Bifurcations, Frequency jumps
Divisions:	Faculty of Science and Engineering > School of Engineering
Depositing User:	Symplectic Admin
Date Deposited:	12 May 2023 15:39
Last Modified:	05 Jul 2023 10:36
DOI:	10.1016/j.cnsns.2023.107294
Open Access URL:	https://www.sciencedirect.com/science/article/pii/...
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3170273