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Dynamics and Elastic Stability of an Electrostatically Actuated Microbeam Under Ultrafast Laser Pulse

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Part of the book series: Structural Integrity ((STIN,volume 8))

Abstract

Laser-induced vibrations and elastic stability of a clamped-clamped beam electrostatic transducer are considered under ultrafast laser pulse. It is assumed that laser pulse acts as volume heat generation with Gaussian time-profile localized in near-surface layer of the beam. Temperature load non-stationarity and non-homogeneity through length and thickness lead to appearance of thermal-induced mechanical moment and axial forced acting on the beam, which can result in buckling phenomena. Semi-analytical methods for solution of nonlinear boundary-value problems are used for static equilibrium determination of the beam in the electric field of one stationary electrode. Analytical solution of non-stationary temperature problem in the beam volume is obtained. Finally, areas in parameter space of system geometrical and mechanical properties along with laser pulse characteristics are determined which correspond to elastic stability of initial equilibrium form of the beam subjected to laser pulse.

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References

  1. Lavrent’ev, M.A., Ishlinskii, A.Y.: Dokl. Akad. Nauk SSSR 64(6), 779 (1949)

    Google Scholar 

  2. Morozov, N.F., Tovstik, P.E.: Dokl. Phys. 58, 510 (2013)

    Article  Google Scholar 

  3. Belyaev, A.K., Morozov, N.F., Tovstik, P.E., Tovstik, T.P.: Vestn. St. Petersburg Univ.: Math. 49(1), 53 (2016)

    Google Scholar 

  4. Champion, A., Bellouard, Y.: Direct volume variation measurements in fused silica specimens exposed to femtosecond laser. Optical Mater. Express 2(6) (2012)

    Article  Google Scholar 

  5. Li, C., et al.: Laser induced surface acoustic wave combined with phase sensitive optical coherence tomography for superficial tissue characterization. Biomed. Opt. Expr. 5(5) (2014)

    Google Scholar 

  6. Otsuka, P., et al.: Time-domain imaging of gigahertz surface waves on an acoustic metamaterial. New J. Phys. 20 (2018)

    Article  Google Scholar 

  7. Shen, H., Zhou, W., Wang, H.: Laser forming of doubly curved plates using minimum energy principle and comprehensive strain control. Int. J. Mech. Sc. 145 (2018)

    Article  Google Scholar 

  8. Russel M.A., Souto-Iglesias A. Numerical simulation of Laser Fusion Additive Manufacturing processes using the SPH method, Comp. Meth. Appl. Mech. Eng. 341 (2018)

    Google Scholar 

  9. Zheng, Z., et al.: Femtosecond laser inscribed small-period long-period fiber gratings with dual-parameter sensing. IEEE Sens. J. 18(3) (2018)

    Article  Google Scholar 

  10. Xiong, Q, et al.: Thermal damage and ablation behavior of graphene induced by ultrafast laser irradiation. J. Therm. Stresses (2018)

    Google Scholar 

  11. Yang, T., Bellouard, Y.: Laser-induced transition between nonlinear and linear resonant behaviors of a micromechanical oscillator. Phys. Rev. Appl. 7 (2017)

    Google Scholar 

  12. Sun, Y., et al.: Laser-induced vibrations of micro-beams under different boundary conditions. Int. J. Solids Struct. 45 (2008)

    Article  Google Scholar 

  13. Sun, Y., et al.: Thermoelastic response of a simply supported beam irradiated by a movable laser pulse. Canad. J. Phys. (2017)

    Google Scholar 

  14. Yang, X., et al.: An exact analytical solution for thermoelastic response of clamped beams subjected to a movable laser pulse. Symmetry 10, 139 (2018)

    Article  Google Scholar 

  15. Sun, Y., et al.: Thermodynamic response of beams on winkler foundation irradiated by moving laser pulses. Symmetry 10, 328 (2018)

    Article  Google Scholar 

  16. Tang, D.W., Araki, N.: Wavy, wavelike, diffusive thermal responses of finite rigid slabs to high-speed heating of laser-pulses. Int. J. Heat Mass Transf. 42 (1999)

    Article  Google Scholar 

  17. Zhang, W., Yan, H., Peng, Z., Meng, G.: Sens. Actuators A 214, 187 (2014)

    Google Scholar 

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Acknowledgements

This work was supported by the Russian Foundation for Basic Research, project no. 17–01–0414.

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Correspondence to A. V. Lukin .

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Lukin, A.V., Indeitsev, D.A., Popov, I.A., Privalova, O.V., Shtukin, L.V. (2019). Dynamics and Elastic Stability of an Electrostatically Actuated Microbeam Under Ultrafast Laser Pulse. In: Gdoutos, E. (eds) Proceedings of the Second International Conference on Theoretical, Applied and Experimental Mechanics. ICTAEM 2019. Structural Integrity, vol 8. Springer, Cham. https://doi.org/10.1007/978-3-030-21894-2_66

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  • DOI: https://doi.org/10.1007/978-3-030-21894-2_66

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-21893-5

  • Online ISBN: 978-3-030-21894-2

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