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Smart Structures and Systems Volume 30, Number 3, September 2022 , pages 239-243 DOI: https://doi.org/10.12989/sss.2022.30.3.239 |
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The influence of nonlinear damping on the response of a piezoelectric cantilever sensor in a symmetric or asymmetric configuration |
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Giuseppe Habib, Emanuel Fainshtein, Kai-Dietrich Wolf and Oded Gottlieb
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| Abstract | ||
| We investigate the influence of nonlinear viscoelastic damping on the response of a cantilever sensor covered by piezoelectric layers in a symmetric or asymmetric configuration. We formulate an initial-boundary-value problem which consistently incorporates both geometric and material nonlinearities including the effect of viscoelastic damping which cannot be ignored for micro- and nano-mechanical sensor operation in a vacuum environment. We employ an asymptotic multiplescales methodology to yield the system nonlinear frequency response near its primary resonance and employ a model-based estimation procedure to deduce the system damping backone curve from controlled experiments in vacuum. We discuss the effect of nonlinear damping on sensor applications for scanning probe microscopy. | ||
| Key Words | ||
| nonlinear viscoelastic damping; piezoelectric cantilever sensor; symmetric/asymmetric configuration | ||
| Address | ||
| (1) Giuseppe Habib: Department of Applied Mechanics, Budapest University of Technology and Economics, Budapest, Hungary; (2) Emanuel Fainshtein, Oded Gottlieb: Department of Mechanical Engineering, Technion - Israel Institute of Technology, Haifa, Israel; (3) Kai-Dietrich Wolf: Institute for Security Systems, University of Wuppertal, Velbert, Germany. | ||