DOI QR코드

DOI QR Code

Electro-magneto-elastic analysis of a three-layer curved beam

  • Arefi, Mohammad (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan) ;
  • Zenkour, Ashraf M. (Department of Mathematics, Faculty of Science, King Abdulaziz University)
  • 투고 : 2016.11.18
  • 심사 : 2017.04.29
  • 발행 : 2017.06.25

초록

In this paper, based on first-order shear deformation theory, the governing equations of motion for a sandwich curved beam including an elastic core and two piezo-magnetic face-sheets are presented. The curved beam model is resting on Pasternak's foundation and subjected to applied electric and magnetic potentials on the piezo-magnetic face-sheets and transverse loading. The five equations of motion are analytically solved and the bending and vibration results are obtained. The influence of important parameters of the model such as direct and shear parameters of foundation and applied electric and magnetic potentials are studied on the electro-mechanical responses of the problem. A comparison with literatures was performed to validate our formulation and results.

키워드

참고문헌

  1. Arefi, M. (2014), "A complete set of equations for piezomagnetoelastic analysis of a functionally graded thick shell of revolution", Lat. Amer. J. Solids. Struct., 11(11), 2073-2092. https://doi.org/10.1590/S1679-78252014001100009
  2. Arefi, M. and Khoshgoftar, M.J. (2014), "Comprehensive piezothermo-elastic analysis of a thick hollow spherical shell", Smart. Struct. Syst., 14(2), 225-246. https://doi.org/10.12989/sss.2014.14.2.225
  3. Arefi, M. (2015), "Elastic solution of a curved beam made of functionally graded materials with different cross sections", Steel. Compos. Struct., 18(3), 659-672. https://doi.org/10.12989/scs.2015.18.3.659
  4. Arefi, M. and Zenkour, A.M. (2016a), "Free vibration, wave propagation and tension analyses of a sandwich micro/nano rod subjected to electric potential using strain gradient theory", Mater. Res. Express., 3(11), 115704. https://doi.org/10.1088/2053-1591/3/11/115704
  5. Arefi, M. and Zenkour A.M. (2016b), "Employing sinusoidal shear deformation plate theory for transient analysis of three layers sandwich nanoplate integrated with piezo-magnetic facesheets", Smart. Mater. Struct., 25(11), 115040. https://doi.org/10.1088/0964-1726/25/11/115040
  6. Arefi, M. and Zenkour A.M. (2016c), "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
  7. Arefi, M. and Zenkour A.M. (2016d), "Nonlocal electro-thermomechanical analysis of a sandwich nanoplate containing a Kelvin-Voigt viscoelastic nanoplate and two piezoelectric layers", Acta Mech., 228(2), 475-493.
  8. Arefi, M. and Rahimi, G.H. (2014), "Application of shear deformation theory for two dimensional electro-elastic analysis of a FGP cylinder", Smart. Struct. Syst., 13(1), 1-24. https://doi.org/10.12989/sss.2014.13.1.001
  9. Arefi, M. and Zenkour, A.M. (2017a), "Thermo-electromechanical bending behavior of sandwich nanoplate integrated with piezoelectric face-sheets based on trigonometric plate theory", Compos. Struct.,162, 108-122. https://doi.org/10.1016/j.compstruct.2016.11.071
  10. Arefi, M. and Zenkour, A.M. (2017b), "Vibration and bending analysis of a sandwich microbeam with two integrated piezomagnetic face-sheets", Compos. Struct. 159, 479-490. https://doi.org/10.1016/j.compstruct.2016.09.088
  11. Arefi, M. and Zenkour, A.M. (2017c), "Size-dependent vibration and bending analyses of the piezomagnetic three-layer nanobeams", Appl. Phys. A., 123(3), 202.
  12. Arefi, M. and Zenkour, A.M. (2017d), "Transient analysis of a three-layer microbeam subjected to electric potential", Int. J. Smart. Nano. Mater., 8(1), 20-40. https://doi.org/10.1080/19475411.2017.1292967
  13. Arefi, M. and Zenkour, A.M. (2017e), "Wave propagation analysis of a functionally graded magneto-electro-elastic nanobeam rest on Visco-Pasternak foundation", Mech. Res. Commun., 79, 51-62. https://doi.org/10.1016/j.mechrescom.2017.01.004
  14. Arslan, E. and Usta, R. (2014), "Mechanical and electrical fields of piezoelectric curved sensors", Arch. Mech., 66(5), 329-342.
  15. Hosseini, S.A.H. and Rahmani, O. (2016a), "Free vibration of shallow and deep curved FG nanobeam via nonlocal Timoshenko curved beam model", Appl. Phys. A, 122,169.
  16. Hosseini, S.A.H. and Rahmani, O. (2016b), "Thermomechanical vibration of curved functionally graded nanobeam based on nonlocal elasticity", J. Therm. Stresses, 39(10), 1252-1267. https://doi.org/10.1080/01495739.2016.1215731
  17. Hou, P.F. and Leung, A.Y.T. (2004), "The transient responses of magneto-electro-elastic hollow cylinders", Smart. Mater. Struct., 13, 762-776. https://doi.org/10.1088/0964-1726/13/4/014
  18. Kananipour, H., Ahmadi, M. and Chavoshi, H., (2014), "Application of nonlocal elasticity and DQM to dynamic analysis of curved nanobeams", Lat. Amer. J. Solids. Struct., 11(5), 848-853. https://doi.org/10.1590/S1679-78252014000500007
  19. Koutsawa, Y. and Daya, E.M. (2007), "Static and free vibration analysis of laminated glass beam on viscoelastic supports", Int. J. Solids. Struct., 44, 8735-8750. https://doi.org/10.1016/j.ijsolstr.2007.07.009
  20. Kuang, Y.D., Li, G.Q., Chen, C.Y. and Min, Q. (2007), "The static responses and displacement control of circular curved beams with piezoelectric actuators", Smart. Mater. Struct., 16, 1016-1024. https://doi.org/10.1088/0964-1726/16/4/009
  21. Shi, Z.F. (2005), "Bending behavior of piezoelectric curved actuator", Smart. Mater. Struct., 14, 835-842. https://doi.org/10.1088/0964-1726/14/4/043
  22. Shi, Z.F. and Zhang, T. (2008), "Bending analysis of a piezoelectric curved actuator with a generally graded property for the piezoelectric parameter", Smart. Mater. Struct., 17(4): 045018 (7pp). https://doi.org/10.1088/0964-1726/17/4/045018
  23. Sun, D.C. and Tong, L. (2001), "Sensor/actuator equations for curved piezoelectric fibers and vibration control of composite beams using fiber modal actuators/sensors", J. Sound. Vib., 241(2), 297-314. https://doi.org/10.1006/jsvi.2000.3269
  24. Sun, D. and Tong, L. (2002), "Modeling and analysis of curved beams with debonded piezoelectric sensor/actuator patches", Int. J. Mech. Sci., 44, 1755-1777. https://doi.org/10.1016/S0020-7403(02)00055-3
  25. Susanto, K. (2009), "Vibration analysis of piezoelectric laminated slightly curved beams using distributed transfer function method", Int. J. Solids. Struct., 46, 1564-1573. https://doi.org/10.1016/j.ijsolstr.2008.11.024
  26. Yan, Z. and Jiang, L. (2011), "Electromechanical response of a curved piezoelectric nanobeam with the consideration of surface effects", J. Phys. D: Appl. Phys., 44, 365301 (8pp). https://doi.org/10.1088/0022-3727/44/36/365301
  27. Zenkour, A.M. and Arefi, M. (2017a), "Nonlocal transient electrothermomechanical vibration and bending analysis of a functionally graded piezoelectric single-layered nanosheet rest on visco-Pasternak foundation", J. Therm. Stresses., 40(2), 167-184. https://doi.org/10.1080/01495739.2016.1229146
  28. Zhou, Y., Nyberg, T.R., Xiong, G., Zhou, H. and Li, S. (2017), "Precise deflection analysis of laminated piezoelectric curved beam", J. Intel. Mat. Syst. Str., In Press.
  29. Zhou, Y., Dong, Y. and Li, S. (2010), "Analysis of a curved beam MEMS piezoelectric vibration energy harvester", Adv. Mater. Res., 139-141, 1578-1581. https://doi.org/10.4028/www.scientific.net/AMR.139-141.1578

피인용 문헌

  1. Electric field effect on dynamic analysis of smart porosity-dependent nanocomposite sandwich plate resting on silica aerogel foundation considering carbon nanotubes agglomeration vol.30, pp.18, 2017, https://doi.org/10.1177/1045389x19873417