Have a personal or library account? Click to login
Curvature Dependent Electrostatic Field in the Deformable MEMS Device: Stability and Optimal Control Cover

Curvature Dependent Electrostatic Field in the Deformable MEMS Device: Stability and Optimal Control

Open Access
|Oct 2020

References

  1. 1. AA.VV., The MEMS Handbook, Edited by Mohamed Gad-el-Hak. CRC Press, 2015.
  2. 2. H. Nathanson, W. Newell, R. Wickstrom, and J. Lewis, The resonant gate transistor, IEEE Transations on Electron Devices, vol. 14, pp. 117–133, 1964.10.1109/T-ED.1967.15912
  3. 3. J. Zhu, Development trends and perspectives of future sensors and mems/nems, Micromachines, vol. 11, no. 7, pp. 1–30, 2020.10.3390/mi11010007701928131861476
  4. 4. H. Quakad, Electriostatic fringing-fields effects on the structural behavior of mems shallow arches, Microsystem Technologies, vol. 24, pp. 1391–1399, 2018.
  5. 5. P. D. Barba, L. Fattorusso, and M. Versaci, Electrostatic field in terms of geometric curvature in membrane mems devices, Communications in Applied and Industrial Mathematics, vol. 8, no. 1, pp. 165–184, 2017.10.1515/caim-2017-0009
  6. 6. A. Rahaman, A. Ishfaque, H. H. Jung, and B. Kim, Bio-inspired rectangular shaped piezoelectric mems directional microphone, Sensors, vol. 19, no. 1, pp. 88–96, 2019.10.1109/JSEN.2018.2873781
  7. 7. M. Versaci, G. Angiulli, L. Fattorusso, and A. Jannelli, On the uniqueness of the solution for a semi-linear elliptic boundary value problem of the membrane mems device for reconstructing the membrane profile in absence of ghost solutions, International Journal of Non-Linear Mechanics, vol. 109, pp. 24–31, 2019.10.1016/j.ijnonlinmec.2018.10.014
  8. 8. G. Angiulli, A. Jannelli, F. Morabito, and M. Versaci, Reconstructing the membrane detection of a 1d electrostatic-driven mems device by the shooting method: Convergence analysis and ghost solutions identi cation, Computational and Applied Mathematics, vol. 37, no. 4, pp. 4484–4498, 2018.
  9. 9. V. Zega, A. Frang, and A. Guercilena, Analysis of frequency stability and thermoelastic effects for slotted tuning fork mems resonators, Sensors, vol. 18, no. 7, pp. 1–15, 2018.10.3390/s18072157606883629973566
  10. 10. H. Javaheri, P. P. Ghanati, and S. Azizi, A case study on the numerical solution and reduced order model of mems, Sensing and Imaging, vol. 19, no. 3, 2018.10.1007/s11220-018-0189-8
  11. 11. J. Pelesko and D.H.Bernestein, Modeling MEMS and NEMS. Chapman & Hall/CRC Press, 2003.10.1201/9781420035292
  12. 12. V.V.Zozulya and A.Saez, A high-order theory of a thermoelastic beams and its application to the mems/nems analysis and simulations, Archive of Applied Mechanics, vol. 86, pp. 1255–1273, 2016.
  13. 13. Y. Zhang and et al., Micro electrostatic energy harvester with both broad bandwidth and high normalized power density, Applied Energy, vol. 212, pp. 363–371, 2018.10.1016/j.apenergy.2017.12.053
  14. 14. L. Velosa-Moncada and et al., Design of a novel mems microgripper with rotatory electrostatic comb-drive actuators for biomedical applications, Sensors, vol. 18, no. 15, pp. 1–16, 2018.10.3390/s18051664598268929789474
  15. 15. P. D. Barba, T. Gotszalk, W. Majstrzyk, M. Mognaschi, K. Orlowska, and S. W. an A. Sierakowski, Optimal design of electromagnetically actuated mems cantilevers, Sensors, vol. 18, no. 8, pp. 25–33, 2018.10.3390/s18082533611179430072659
  16. 16. P. D. Barba and S. Wiak, MEMS: Field Models and Optimal Design. Springer International Publishing, 2020.10.1007/978-3-030-21496-8
  17. 17. R. de Oliveira Hansen and et al., Magnetic films for electromagnetic actuation in mems switches, Microsystem Technologies, vol. 24, pp. 1987–1994, 2018.
  18. 18. A. Mohammadi and N. Ali, Effect of high electrostatic actuation on thermoelastic damping in thin rectangular microplate resonators, Journal of Theoretical and Applied Mechanics, vol. 53, no. 2, pp. 317–329, 2015.10.15632/jtam-pl.53.2.317
  19. 19. M. Cauchi and et al., Analytical, numerical and experimental study of a horizontal electrothermal mems microgripper for the deformability characterisation of human red booold cells, Micromachines, vol. 9, no. 3, p. 108, 2018.10.3390/mi9030108618759530424042
  20. 20. M. Vinyas and S. Kattimani, Investigation of the effect of batio3-cofe2o4 particle arrangement on the static response of magneto-electro-thermo-elastic plates, Composite Structures, vol. 185, pp. 51–64, 2018.10.1016/j.compstruct.2017.10.073
  21. 21. S. Imai and T. Tsukioka, A magnetic mems actuator using a permanent magnet and magnet fluid enclosed in a cavity sandwiched by polymer diaphrams, Precision Engineering, vol. 38, no. 3, pp. 548–554, 2014.10.1016/j.precisioneng.2014.02.003
  22. 22. J. Feng, C. Liu, W. Zhang, and S. Hao, Static and dynamic mechanical behaviors of electrostatic mems resonator with surface processing error, Micromachines, vol. 9, no. 34, pp. 1–19, 2018.10.3390/mi9010034618723830393310
  23. 23. R. M. Joubari and R. Asghari, Analytical solution for nonlinear vibration of micro-electro-mechanical system (mems) by frequency-amplitude formulation method, The Journal of Mathematics and Computer Science, vol. 4, no. 3, pp. 371–379, 2012.10.22436/jmcs.04.03.10
  24. 24. P. D. Barba, L. Fattorusso, and M. Versaci, A 2d non-linear second-order di erential model for electrostatic circular membrane mems devices: A result of existence and uniqueness, Mathematics, vol. 7, no. 1193, 2019.10.3390/math7121193
  25. 25. M. Versaci and F. Morabito, Membrane Micro Electro-Mechanical Systems for Industrial Applications. Handbook of Research on Advanced Mechatronic Systems and Intelligent Robotics, 2019.10.4018/978-1-7998-0137-5.ch007
  26. 26. M. Daeichin, M. Ozdogan, S. Twfighian, and R. Miles, Dynamic response of a tunable mems accelerometer based on repulsive force, Sensors and Actuators A: Physical, vol. 289, pp. 34–43, 2019.10.1016/j.sna.2019.02.007
  27. 27. F. Morabito and M. Versaci, A fuzzy neural approach to localizing holes in conducting plates, IEEE Transavctions on Magnetics, vol. 37, pp. 3534–3537, 2001.
  28. 28. G. Angiulli and M. Versaci, Neuro-fuzzy network for the design of circular and triangular equilateral microstrip antennas, Int. J. Infrared Millim. Waves, vol. 37, pp. 1513–1520, 2002.
  29. 29. D. Cassani, M. d’O, and N. Ghoussoub, On a fourth order elliptic problem with a singular nonlinearity, Nonlinear Studies, vol. 9, pp. 189–209, 2009.10.1515/ans-2009-0109
  30. 30. D. Cassani and A. Tarsia, Periodic solutions to nonlocal mems equations, Discrete and Continuous Dynamical Systems - Serie S, vol. 9, no. 3, pp. 631–642, 2016.10.3934/dcdss.2016017
  31. 31. A. Katok and B. Hasselblatt, Introduction to Modern Theory of Dynamical Systems. Cambridge University Press, 2015.
  32. 32. B. Sajadi, H. Goosen, and F. van Keulen, Electrostatic instability of micro-plates subjected to di erential pressure: A semi-analytical approach, International Journal of Mechanical Sciences, vol. 138–139, pp. 210–218, 2018.10.1016/j.ijmecsci.2018.02.007
Language: English
Page range: 35 - 54
Published on: Oct 31, 2020
Published by: Italian Society for Applied and Industrial Mathemathics
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2020 Paolo Di Barba, Luisa Fattorusso, Mario Versaci, published by Italian Society for Applied and Industrial Mathemathics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.