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.
Bifurcation analysis and complex phenomena in self-excited microcantilevers / Gelli, Matilde; Mouro, Joao; Paoletti, Paolo; Tiribilli, Bruno; Basso, Michele. - In: COMMUNICATIONS IN NONLINEAR SCIENCE & NUMERICAL SIMULATION. - ISSN 1007-5704. - ELETTRONICO. - 123:(2023), pp. 107294.0-107294.0. [10.1016/j.cnsns.2023.107294]
Bifurcation analysis and complex phenomena in self-excited microcantilevers
Gelli, Matilde;Basso, Michele
2023
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.File | Dimensione | Formato | |
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