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The intersection of noise, amplitude, and nonlinearity in a high-Q micromechanical torsion pendulum

Published

Author(s)

Jon R. Pratt, Stephan Schlamminger, Dalziel Wilson, Charles Condos, Aman Rajendra Agrawal, Christian Pluchar

Abstract

We derive a nonlinear equation of motion for a chip-scale pendulum comprising a thick plate suspended from a tensioned nanoribbon. Recently we explored the use of such a device as a clock gravimeter, exploiting the parametric coupling of its frequency to the local acceleration of gravity, and demonstrating micro-$g$ resolution with a silicon nitride prototype. Here we consider the restoring torque arising from the mid-plane stretching of the nanoribbon, finding it is a hardening spring that can be used to counteract the softening of gravitational torques, reducing parametric frequency noise and extending the range of isochronous pendulation. Using the method of multiple scales, we predict that parametric frequency-amplitude coupling can be driven to zero by exploiting fabrication tolerances available using modern nanolithography.
Proceedings Title
Advances in Nonlinear Dynamics: Proceedings of the 3rd International Nonlinear Dynamics Conference (NODYCON 2023)
Conference Dates
June 18-22, 2023
Conference Location
Rome, IT
Conference Title
NODYCON 2023 third International Nonlinear Dynamics Conference

Keywords

micromechanical torsion pendulum, dissipation dilution, gravimeter

Citation

Pratt, J. , Schlamminger, S. , Wilson, D. , Condos, C. , Agrawal, A. and Pluchar, C. (2024), The intersection of noise, amplitude, and nonlinearity in a high-Q micromechanical torsion pendulum, Advances in Nonlinear Dynamics: Proceedings of the 3rd International Nonlinear Dynamics Conference (NODYCON 2023), Rome, IT, [online], https://doi.org/10.1007/978-3-031-50635-2, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=936199 (Accessed May 26, 2024)

Issues

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Created May 6, 2024