58
V. Marinca and N. Herisanu
3. J.F. Rhoads, S.W. Shaw, K.L. Turner, The nonlinear response of resonant microbeam systems
with purely parametric electrostatic actuation. J. Micromech. Microeng. 16, 890–899 (2006)
4. Y.C. Hu, P.Z. Chang, W.C. Chuang, An approximate analytical solution to the pull-in voltage
of a micro bridge with an elastic boundary. J. Micromech. Microeng. 17, 1870–1876 (2007)
5. M. Mojahedi, M.M. Zand, M.T. Ahmadian, Static pull-in analysis of electrostatically actuated
microbeams with homotopy perturbation method. Appl. Math. Model. 34, 1032–1041 (2010)
6. R. Soroush, A. Koochi, A.S. Kazemi, A. Noghrehabadi, H. Haddadpour, Investigating the effect
of Casimir and van der Waals attraction on the electrostatic pull-in instability of nano-actuators.
Physica Scripta 82, Art ID 045801 (2010)
7. L. Yin, Q. Qian, L. Wang, Size effect on the static behavior of electrostatically actuated
microbeams. Acta Mech. Sin. 27(3), 445–451 (2011)
8. A.R. Askari, M. Tahani, An analytical approximation to nonlinear vibration of a clamped
nanobeam in presence of the Casimir force. Int. J. Aerosp. Lightweight Struct 2(3), 317–334
(2012)
9. S. Kong, Size effect on pull-in behavior of electrostatically actuated microbeams based on a
modified couple stress theory. Appl. Math. Model. 37, 7481–7488 (2013)
10. D. Caruntu, I. Martinez, K.N. Taylor, Voltage amplitude response of alternating current near
half natural frequency electrostatically actuated MEMS resonators. Mech. Res. Commun. 52,
25–31 (2003)
11. M.I. Younis, Analytical expressions for the electrostatically actuated curled beam problem.
Microsyst. Technol. 21(8), 1709–1717 (2015)
12. P.D. Maida, G. Bianchi, Numerical investigation of pull-in instability in a micro-switch MEMS
device through the pseudo-spectral method. Model. Simul. Eng. ID 8543616 (2016)
13. D. Omarov, D. Nurakhmetov, D. Wei, P. Skrzypacz, On the application of Sturm’s theorem to
analyses of dynamic pull-in for a grapheme-based MEMS model. Appl. Comput. Mech. 12(1),
59–72 (2018)
14. P. Skrzypacz, S. Kadyrov, D. Nurakhmetov, D. Wei, Analysis of dynamic pull-in voltage of a
grapheme MEMS model. Nonlinear Anal. Real World Appl. 45, 581–589 (2019)
15. S.K. Lomoreaux, Resource letter of Casimir force. Am. J. Phys. 67(10), 850–861 (1999)
16. R.C. Batra, M. Porfiri, D. Spinello, Vibrations and pull-in instabilities of micromechanical von
Karaman elliptic plates incorporating the Casimir force. J. Sound Vib. 315, 939–960 (2008)
17. N. Herisanu, V. Marinca, G. Madescu, F. Dragan, Dynamic response of a permanent magnet
synchronous generator to a wind gust. Energies 12(5), 915 (2019)
18. V. Marinca, N. Herisanu, Vibration of nonlinear nonlocal elastic column with initial imperfection. Springer Proc. Phys. 198, 49–56 (2018)
19. N. Herisanu, V. Marinca, Free oscillations of Euler-Bernoulli beams on nonlinear WinklerPasternak foundation. Springer Proc. Phys. 198, 41–48 (2018)
20. N. Herisanu, V. Marinca, Application of the optimal auxiliary functions method to a permanent
magnet synchronous generator. Int. J. Nonlinear Sci. Numer. Simul. 20, 399–406 (2019)
V. Marinca and N. Herisanu
3. J.F. Rhoads, S.W. Shaw, K.L. Turner, The nonlinear response of resonant microbeam systems
with purely parametric electrostatic actuation. J. Micromech. Microeng. 16, 890–899 (2006)
4. Y.C. Hu, P.Z. Chang, W.C. Chuang, An approximate analytical solution to the pull-in voltage
of a micro bridge with an elastic boundary. J. Micromech. Microeng. 17, 1870–1876 (2007)
5. M. Mojahedi, M.M. Zand, M.T. Ahmadian, Static pull-in analysis of electrostatically actuated
microbeams with homotopy perturbation method. Appl. Math. Model. 34, 1032–1041 (2010)
6. R. Soroush, A. Koochi, A.S. Kazemi, A. Noghrehabadi, H. Haddadpour, Investigating the effect
of Casimir and van der Waals attraction on the electrostatic pull-in instability of nano-actuators.
Physica Scripta 82, Art ID 045801 (2010)
7. L. Yin, Q. Qian, L. Wang, Size effect on the static behavior of electrostatically actuated
microbeams. Acta Mech. Sin. 27(3), 445–451 (2011)
8. A.R. Askari, M. Tahani, An analytical approximation to nonlinear vibration of a clamped
nanobeam in presence of the Casimir force. Int. J. Aerosp. Lightweight Struct 2(3), 317–334
(2012)
9. S. Kong, Size effect on pull-in behavior of electrostatically actuated microbeams based on a
modified couple stress theory. Appl. Math. Model. 37, 7481–7488 (2013)
10. D. Caruntu, I. Martinez, K.N. Taylor, Voltage amplitude response of alternating current near
half natural frequency electrostatically actuated MEMS resonators. Mech. Res. Commun. 52,
25–31 (2003)
11. M.I. Younis, Analytical expressions for the electrostatically actuated curled beam problem.
Microsyst. Technol. 21(8), 1709–1717 (2015)
12. P.D. Maida, G. Bianchi, Numerical investigation of pull-in instability in a micro-switch MEMS
device through the pseudo-spectral method. Model. Simul. Eng. ID 8543616 (2016)
13. D. Omarov, D. Nurakhmetov, D. Wei, P. Skrzypacz, On the application of Sturm’s theorem to
analyses of dynamic pull-in for a grapheme-based MEMS model. Appl. Comput. Mech. 12(1),
59–72 (2018)
14. P. Skrzypacz, S. Kadyrov, D. Nurakhmetov, D. Wei, Analysis of dynamic pull-in voltage of a
grapheme MEMS model. Nonlinear Anal. Real World Appl. 45, 581–589 (2019)
15. S.K. Lomoreaux, Resource letter of Casimir force. Am. J. Phys. 67(10), 850–861 (1999)
16. R.C. Batra, M. Porfiri, D. Spinello, Vibrations and pull-in instabilities of micromechanical von
Karaman elliptic plates incorporating the Casimir force. J. Sound Vib. 315, 939–960 (2008)
17. N. Herisanu, V. Marinca, G. Madescu, F. Dragan, Dynamic response of a permanent magnet
synchronous generator to a wind gust. Energies 12(5), 915 (2019)
18. V. Marinca, N. Herisanu, Vibration of nonlinear nonlocal elastic column with initial imperfection. Springer Proc. Phys. 198, 49–56 (2018)
19. N. Herisanu, V. Marinca, Free oscillations of Euler-Bernoulli beams on nonlinear WinklerPasternak foundation. Springer Proc. Phys. 198, 41–48 (2018)
20. N. Herisanu, V. Marinca, Application of the optimal auxiliary functions method to a permanent
magnet synchronous generator. Int. J. Nonlinear Sci. Numer. Simul. 20, 399–406 (2019)