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On Thermo-Optically Excited Parametric Oscillations of Microbeam Resonators. II

  • ON THE ANNIVERSARY OF ALEXANDER KONSTANTINOVICH BELYAEV
  • Published:
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Abstract

The present article is the second part of our study of the nonlinear dynamics of parametrically excited bending vibrations of a microbeam fixed at both ends, a basic sensitive element of a promising class of microsensors of various physical quantities, under laser thermo-optical action in the form of periodically generated pulses acting on a certain part of the surface of the beam element. The conceptual technical feasibility of laser generation of parametric oscillations of high-Q microresonators without implementation of scenarios with the loss of elastic stability of the sensitive element or unacceptable heating is shown. The nature of the zone of the primary parametric resonance is analyzed analytically. The resonant characteristics of the system are constructed in a geometrically non-linear formulation corresponding to the Bernoulli–Euler beam model.

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Funding

This work was supported by a grant from the Council for Grants of the President of the Russian Federation for State Support of Young Russian Scientists MK-4577.2022.1.1.

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Authors and Affiliations

  1. St. Petersburg State University, 199034, St. Petersburg, Russia

    N. F. Morozov

  2. Institute of Problems in Mechanical Engineering of the Russian Academy of Sciences, 199178, St. Petersburg, Russia

    N. F. Morozov, D. A. Indeitsev & L. V. Shtukin

  3. Peter the Great St. Petersburg Polytechnic University, 195251, St. Petersburg, Russia

    D. A. Indeitsev, A. V. Lukin, I. A. Popov & L. V. Shtukin

Authors
  1. N. F. Morozov
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  2. D. A. Indeitsev
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  3. A. V. Lukin
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  4. I. A. Popov
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  5. L. V. Shtukin
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Correspondence to N. F. Morozov, A. V. Lukin, I. A. Popov or L. V. Shtukin.

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Translated by M. Shmatikov

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Morozov, N.F., Indeitsev, D.A., Lukin, A.V. et al. On Thermo-Optically Excited Parametric Oscillations of Microbeam Resonators. II. Vestnik St.Petersb. Univ.Math. 56, 446–458 (2023). https://doi.org/10.1134/S1063454123040106

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  • DOI: https://doi.org/10.1134/S1063454123040106

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