Advances in nano research

  • 제7권4호
  • /
  • Pages.223-231
  • /
  • 2019
  • /
  • 2287-237X(pISSN)
  • /
  • 2287-2388(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Vibration analysis of magneto-flexo-electrically actuated porous rotary nanobeams considering thermal effects via nonlocal strain gradient elasticity theory

  • Ebrahimi, Farzad (Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University) ;
  • Karimiasl, Mahsa (Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University) ;
  • Mahesh, Vinyas (Department of Aerospace Engineering, Indian Institute of Science)
  • 투고 : 2018.02.02
  • 심사 : 2019.06.04
  • 발행 : 2019.07.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this article the frequency response of magneto-flexo-electric rotary porous (MFERP) nanobeams subjected to thermal loads has been investigated through nonlocal strain gradient elasticity theory. A quasi-3D beam model beam theory is used for the expositions of the displacement components. With the aid of Hamilton's principle, the governing equations of MFERP nanobeams are obtained. Further, administrating an analytical solution the frequency problem of MFERP nanobeams are solved. In addition the numerical examples are also provided to evaluate the effect of nonlocal strain gradient parameter, hygro thermo environment, flexoelectric effect, in-plane magnet field, volume fraction of porosity and angular velocity on the dimensionless eigen frequency.

키워드

참고문헌

  1. Ansari, R., Pourashraf, T. and Gholami, R. (2015), "An exact solution for the nonlinear forced vibration of functionally graded nanobeams in thermal environment based on surface elasticity theory", Thin-Wall. Struct., 93, 169-176. https://doi.org/10.1016/j.tws.2015.03.013
  2. Arefi, M. and Zenkour, A.M. (2016), "A simplified shear and normal deformations nonlocal theory for bending of functionally graded piezomagnetic sandwich nanobeams in magneto-thermo-electric environment", J. Sandw. Struct. Mater., 18(5), 624-651. https://doi.org/10.1177/1099636216652581
  3. Civalek, O. and Demir, C. (2011), "Bending analysis of microtubules using nonlocal Euler-Bernoulli beam theory", Appl. Math. Model., 35(5), 2053-2067. https://doi.org/10.1016/j.apm.2010.11.004
  4. Ebrahimi, F. and Barati, M.R. (2016a), "Dynamic modeling of a thermo-piezo-electrically actuated nanosize beam subjected to a magnetic field", Appl. Phys. A, 122(4), 451. https://doi.org/10.1007/s00339-016-0001-3
  5. Ebrahimi, F. and Barati, M.R. (2016b), "Electromechanical buckling behavior of smart piezoelectrically actuated higher-order size-dependent graded nanoscale beams in thermal environment", Int. J. Smart Nano Mater., 7(2), 69-90. https://doi.org/10.1080/19475411.2016.1191556
  6. Ebrahimi, F. and Barati, M.R. (2016c), "An exact solution for buckling analysis of embedded piezoelectro-magnetically actuated nanoscale beams", Adv. Nano Res., Int. J., 4(2), 65-84. http://dx.doi.org/10.12989/anr.2016.4.2.065
  7. Ebrahimi, F. and Barati, M.R. (2016d), "Vibration analysis of smart piezoelectrically actuated nanobeams subjected to magneto-electrical field in thermal environment", J. Vib. Control, 1077546316646239. https://doi.org/10.1177/1077546316646239
  8. Ebrahimi, F. and Barati, M.R. (2017), "Buckling analysis of nonlocal third-order shear deformable functionally graded piezoelectric nanobeams embedded in elastic medium", J. Brazil. Soc. Mech. Sci. Eng., 39(3), 937-952. https://doi.org/10.1007/s40430-016-0551-5
  9. Eltaher, M.A., Emam, S.A. and Mahmoud, F.F. (2012), "Free vibration analysis of functionally graded size-dependent nanobeams", Appl. Math. Computat., 218(14), 7406-7420. https://doi.org/10.1016/j.amc.2011.12.090
  10. Eringen, A.C. (1968), "Mechanics of micromorphic continua", In: Mechanics of generalized continua, Springer, Berlin, Heidelberg, Germany, pp. 18-35.
  11. Eringen, A. (1972), "Nonlocal polar elastic continua", Int. J. Eng. Sci., 10, 1-16. https://doi.org/10.1016/0020-7225(72)90070-5
  12. Ghorbanpour Arani, A. and Zamani, M.H. (2017), "Investigation of electric field effect on size-dependent bending analysis of functionally graded porous shear and normal deformable sandwich nanoplate on silica Aerogel foundation", J. Sandw. Struct. Mater., 1099636217721405. https://doi.org/10.1177/1099636217721405
  13. Ke, L.L. and Wang, Y.S. (2014), "Free vibration of size-dependent magneto-electro-elastic nanobeams based on the nonlocal theory", Physica E: Low-dimens. Syst. Nanostruct., 63, 52-61. https://doi.org/10.1016/j.physe.2014.05.002
  14. Kiani, Y., Rezaei, M., Taheri, S. and Eslami, M.R. (2011), "Thermo-electrical buckling of piezoelectric functionally graded material Timoshenko beams", Int. J. Mech. Mater. Des., 7(3), 185-197. https://doi.org/10.1007/s10999-011-9158-2
  15. Murmu, T. and Pradhan, S.C. (2009), "Buckling analysis of a single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity and Timoshenko beam theory and using DQM", Physica E: Low-dimens. Syst. Nanostruct., 41(7), 1232-1239. https://doi.org/10.1016/j.physe.2009.02.004
  16. Peddieson, J., Buchanan, G.R. and McNitt, R.P. (2003), "Application of nonlocal continuum models to nanotechnology", Int. J. Eng. Sci., 41(3), 305-312. https://doi.org/10.1016/S0020-7225(02)00210-0
  17. Rahmani, O. and Jandaghian, A.A. (2015), "Buckling analysis of functionally graded nanobeams based on a nonlocal third-order shear deformation theory", Appl. Phys. A, 119(3), 1019-1032. https://doi.org/10.1007/s00339-015-9061-z
  18. Roque, C.M.C., Ferreira, A.J.M. and Reddy, J.N. (2011), "Analysis of Timoshenko nanobeams with a nonlocal formulation and meshless method", Int. J. Eng. Sci., 49(9), 976-984. https://doi.org/10.1016/j.ijengsci.2011.05.010
  19. Simsek, M. and Yurtcu, H.H. (2013), "Analytical solutions for bending and buckling of functionally graded nanobeams based on the nonlocal Timoshenko beam theory", Compos. Struct., 97, 378-386. https://doi.org/10.1016/j.compstruct.2012.10.038
  20. Wang, Q. (2005), "Wave propagation in carbon nanotubes via nonlocal continuum mechanics", J. Appl. Phys., 98(12), 124301. https://doi.org/10.1063/1.2141648
  21. Wang, C.M., Kitipornchai, S., Lim, C.W. and Eisenberger, M. (2008), "Beam bending solutions based on nonlocal Timoshenko beam theory", J. Eng. Mech., 134(6), 475-481. https://doi.org/10.1061/(ASCE)0733-9399(2008)134:6(475)
  22. Yang, J., Ke, L.L. and Kitipornchai, S. (2010), "Nonlinear free vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory", Physica E: Low-dimens. Syst. Nanostruct., 42(5), 1727-1735. https://doi.org/10.1016/j.physe.2010.01.035
  23. Zenkour, A.M. and Sobhy, M. (2013), "Nonlocal elasticity theory for thermal buckling of nanoplates lying on Winkler-Pasternak elastic substrate medium", Physica E: Low-dimens. Syst. Nanostruct., 53, 251-259. https://doi.org/10.1016/j.physe.2013.04.022

피인용 문헌

  1. On bending analysis of perforated microbeams including the microstructure effects vol.76, pp.6, 2020, https://doi.org/10.12989/sem.2020.76.6.765
  2. Frequency and thermal buckling information of laminated composite doubly curved open nanoshell vol.10, pp.1, 2019, https://doi.org/10.12989/anr.2021.10.1.001
  3. Size-dependent vibration response of porous graded nanostructure with FEM and nonlocal continuum model vol.11, pp.1, 2021, https://doi.org/10.12989/anr.2021.11.1.001
  4. A n-order refined theory for free vibration of sandwich beams with functionally graded porous layers vol.79, pp.3, 2019, https://doi.org/10.12989/sem.2021.79.3.279
  5. Computer modeling for frequency performance of viscoelastic magneto-electro-elastic annular micro/nanosystem via adaptive tuned deep learning neural network optimization vol.11, pp.2, 2019, https://doi.org/10.12989/anr.2021.11.2.203