PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Static, free and forced vibration analysis of a delaminated microbeam-based MEMS subjected to the electrostatic force

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, the delamination effect on the static and natural frequency response of a microbeam subjected to the nonlinear electrostatic force is studied using a semi-analytical approach for the first time. The Euler–Bernoulli beam assumption along with the non-classical modified couple stress theory is used to obtain the governing differential equation of motion and then a reduced-order model based on Galerkin’s decomposition method is obtained. At first the microbeam with very small delamination like an intact microbeam is solved and then the solution is compared with those reported in the literature and the solution obtained using 3D-coupled electromechanical software. After validation, the effects of delamination length and its locations in thickness and length directions on the microbeam behavior are investigated in details. It is shown that the delamination has remarkable effects on the characteristics of the microbeam, especially near the pull-in voltage. Also, the delaminated microbeam with various thicknesses is studied using both the classical and the non-classical theories. It is found that the difference between the two models is significant for the thin microbeam with a thickness near of below than its material length scale parameter. This investigation is helpful for the nondestructive detection of the delamination in the beams.
Rocznik
Strony
169--188
Opis fizyczny
Bibliogr. 37 poz.
Twórcy
  • Department of Electrical and Computer Engineering, Babol Noshirvani University of Technology, 484 Babol, Iran
  • Department of Electrical and Computer Engineering, Babol Noshirvani University of Technology, 484 Babol, Iran
  • Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, P.O. Box 47148-71167, Iran
autor
  • Microwave/mm-Wave and Wireless Communication Research Laboratory, Department of Electrical Engineering, Amirkabir University of Technology, 424 Hafez Ave, Tehran, Iran
Bibliografia
  • 1. R. Kumar, R. Kumar, Effects of phase lags on thermoelastic damping in micro-beam resonators, International Journal of Structural Stability and Dynamics, 2019.
  • 2. S. Molaei, B.A. Ganji, Design and simulation of a novel RF MEMS shunt capacitive switch with low actuation voltage and high isolation, Microsystem Technologies, 23, 6, 1907–1912, 2017.
  • 3. A. Razeghi, B.A. Ganji, A novel design of RF MEMS dual band phase shifter, Microsystem Technologies, 20, 3, 445–450, 2014.
  • 4. E.M. Abdel-Rahman, M.I. Younis, A.H. Nayfeh, Characterization of the mechanical behavior of an electrically actuated microbeam, Journal of Micromechanics and Microengineering, 12, 6, 759, 2002.
  • 5. M.I. Younis, E.M. Abdel-Rahman, A. Nayfeh, A reduced-order model for electrically actuated microbeam-based MEMS, Journal of Microelectromechanical systems, 12, 5, 672–680, 2003.
  • 6. M. Naoui, H. Samaali, F. Najar, Modeling and design of very low-voltage mems microswitch using dynamic pull-in, 2015 IEEE 12th International Multi-Conference on Systems, Signals & Devices (SSD15), pp. 1–3, 2015.
  • 7. S. Chaterjee, G. Pohit, A large deflection model for the pull-in analysis of electrostatically actuated microcantilever beams, Journal of Sound and Vibration, 322, 4-5, 969–986, 2009.
  • 8. M. Moghimi Zand, M. Ahmadian, Dynamic pull-in instability of electrostatically actuated beams incorporating Casimir and van der Waals forces, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 224, 9, 2037–2047, 2010.
  • 9. M. Mojahedi, M.M. Zand, M. Ahmadian, Static pull-in analysis of electrostatically actuated microbeams using homotopy perturbation method, Applied Mathematical Modelling, 34, 4, 1032–1041, 2010.
  • 10. B. Wang, J. Zhao, S. Zhou, Micro scale Timoshenko beam model based on strain gradient elasticity theory, European Journal of Mechanics-A/Solids, 29, 4, 591–599, 2010.
  • 11. B. Wang, S. Zhou, J. Zhao, X. Chen, Size-dependent pull-in instability of electrostatically actuated microbeam-based MEMS, Journal of Micromechanics and microengineering, 21, 2, 027001, 2011.
  • 12. K. Wang, B. Wang, Influence of surface energy on the non-linear pull-in instability of nano-switches, International Journal of Non-Linear Mechanics, 59, 69–75, 2014.
  • 13. K. Wang, T. Kitamura, B. Wang, Nonlinear pull-in instability and free vibration of micro/nanoscale plates with surface energy–a modified couple stress theory model, International Journal of Mechanical Sciences, 99, 288–296, 2015.
  • 14. K. Wang, B. Wang, A general model for nano-cantilever switches with consideration of surface effects and nonlinear curvature, Physica E: Low-dimensional Systems and Nanostructures, 66, 197–208, 2015.
  • 15. E.M. Miandoab, A. Yousefi-Koma, H.N. Pishkenari, Poly silicon nanobeam model based on strain gradient theory, Mechanics Research Communications, 62, 83–88, 2014.
  • 16. E.M. Miandoab, H.N. Pishkenari, A. Yousefi-Koma, H. Hoorzad, Polysilicon nano-beam model based on modified couple stress and Eringen’s nonlocal elasticity theories, Physica E: Low-dimensional Systems and Nanostructures, 63, 223–228, 2014.
  • 17. M.H. Jalali, O. Zargar, M. Baghani, Size-dependent vibration analysis of FG microbeams in thermal environment based on modified couple stress theory, Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, 43, 761–771, 2019.
  • 18. S. Bhattacharya, D. Das, Free vibration analysis of bidirectional-functionally graded and double-tapered rotating micro-beam in thermal environment using modified couple stress theory, Composite Structures, 215, 471–492, 2019.
  • 19. M.A. Attia, R.A. Shanab, S.A. Mohamed, N.A. Mohamed, Surface energy effects on the nonlinear free vibration of functionally graded Timoshenko nanobeams based on modified couple stress theory, International Journal of Structural Stability and Dynamics, 19, 11, 1950127, 2019.
  • 20. Ç. Mollamahmutoğlu, A. Mercan, A novel functional and mixed finite element analysis of functionally graded micro-beams based on modified couple stress theory, Composite Structures, 223, 110950, 2019.
  • 21. R.A. Shanab, S.A. Mohamed, N.A. Mohamed, M.A. Attia, Comprehensive investigation of vibration of sigmoid and power law FG nanobeams based on surface elasticity and modified couple stress theories, Acta Mechanica, 34, 1, 2020.
  • 22. J. Wang, Y. Liu, J. Gibby, Vibrations of split beams, Journal of Sound and Vibration, 84, 4, 491–502, 1982.
  • 23. P.M. Mujumdar, S. Suryanarayan, Flexural vibrations of beams with delaminations, Journal of Sound and Vibration, 125, 3, 441–461, 1988.
  • 24. M.-H. Shen, J. Grady, Free vibrations of delaminated beams, AIAA Journal, 30, 5, 1361–1370, 1992.
  • 25. C.N. Della, D. Shu, P. MSRao, Vibrations of beams with two overlapping delaminations, Composite Structures, 66, 1, 101–108, 2004.
  • 26. E. Manoach, J. Warminski, A. Mitura, S. Samborski, Dynamics of a composite Timoshenko beam with delamination, Mechanics Research Communications, 46, 47–53, 2012.
  • 27. M.H. Kargarnovin, M.T. Ahmadian, R.A. Jafari-Talookolaeia, Forced vibration of delaminated Timoshenko beams subjected to a moving load, Science and Engineering of Composit Materials, 19, 2, 145–157, 2012.
  • 28. R.-A. Jafari-Talookolaei, M.H. Kargarnovin, M.T. Ahmadian, On the dynamic response of a delaminated composite beam under the motion of an oscillating mass, Journal of Composite Materials, 46, 22, 2863–2877, 2012.
  • 29. M. Kargarnovin, R. Jafari-Talookolaei, M. Ahmadian, Vibration analysis of delaminated Timoshenko beams under the motion of a constant amplitude point force traveling with uniform velocity, International Journal of Mechanical Sciences, 70, 39–49, 2013.
  • 30. R.-A. Jafari-Talookolaei, N. Ebrahimzade, S. Rashidi-Juybari, K. Teimoori, Bending and vibration analysis of delaminated Bernoulli–Euler micro-beams using the modified couple stress theory, Scientia Iranica, 25, 2, 675–688, 2018.
  • 31. S. Park, X. Gao, Bernoulli–Euler beam model based on a modified couple stress theory, Journal of Micromechanics and Microengineering, 16, 11, 2355, 2006.
  • 32. M. Joglekar, D. Pawaskar, Closed-form empirical relations to predict the static pull in parameters of electrostatically actuated microcantilevers having linear width variation, Microsystem Technologies, 17, 1, 35–45, 2011.
  • 33. A. Bhushan, M. Inamdar, D. Pawaskar, Simultaneous planar free and forced vibrations analysis of an electrostatically actuated beam oscillator, International Journal of Mechanical Sciences, 82, 90–99, 2014.
  • 34. B. Choi, E. Lovell, Improved analysis of microbeams under mechanical and electrostatic loads, Journal of Micromechanics and Microengineering, 7, 1, 24, 1997.
  • 35. S.B. Sedaghat, B.A. Ganji, A novel MEMS capacitive microphone using spring-type diaphragm, Microsystem Technologies, 25, 1, 217–224, 2019.
  • 36. B.G. Kiral, Free vibration analysis of delaminated composite beams, Science and Engineering of Composite Materials, 16, 3, 209–224, 2009.
  • 37. R.-A. Jafari-Talookolaei, M. Abedi, Analytical solution for the free vibration analysis of delaminated Timoshenko beams, The Scientific World Journal, 2014, 280256, 2014.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-5b53c65e-512a-4c1c-ae93-fc2209517b1f
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.