Advances in Computational Design

  • 제7권2호
  • /
  • Pages.99-112
  • /
  • 2022
  • /
  • 2383-8477(pISSN)
  • /
  • 2466-0523(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Nonlinear static analysis of smart beams under transverse loads and thermal-electrical environments

  • Ali, Hayder A.K. (Al-Mustansiriah University, Engineering Collage) ;
  • Al-Toki, Mouayed H.Z. (Middle Technical University, Technical College) ;
  • Fenjan, Raad M. (Al-Mustansiriah University, Engineering Collage) ;
  • Faleh, Nadhim M. (Al-Mustansiriah University, Engineering Collage)
  • 투고 : 2019.02.15
  • 심사 : 2021.11.06
  • 발행 : 2022.04.25
⟨ 이전 논문 다음 논문 ⟩

초록

This research has been devoted to examine nonlinear static bending analysis of smart beams with nano dimension exposed to thermal environment. The beam elastic properties are corresponding to piezo-magnetic material of different compositions. The large deflection analysis of the beam has been performed assuming that the beam is exposed to transverse uniform pressure. Based on the rule of Hamilton, the governing equations have been derived for a nonlocal thin beam and solved using differential quadrature method. Temperature variation effect on nonlinear deflection of the smart beams has been studied. Also, the beam deflection is shown to be affected by electric voltage, magnetic intensity and material composition.

키워드

과제정보

The authors would like to thank Mustansiriyah university (www.uomustansiriyah.edu.iq) Baghdad-Iraq and Middle Technical University (https://www.mtu.edu.iq) for their support in the present work.

참고문헌

  1. Abderezak, R., Daouadji, T.H. and Rabia, B. (2021), "Modeling and analysis of the imperfect FGMdamaged RC hybrid beams", Adv. Comput. Des., 6(2), 117-133. https://doi.org/10.12989/acd.2021.6.2.117.
  2. Abdullah, W.N., Khalaf, B.S., Ahmed, R.A., Fenjan, R.M. and Faleh, N.M. (2021), "Thermal effects on dynamic response of GOP-Reinforced beams under blast load", Adv. Concr. Constr., 12(3), 167-174. https://doi.org/10.12989/acc.2021.12.3.167.
  3. Abdulrazzaq, M.A., Muhammad, A.K., Kadhim, Z.D. and Faleh, N.M. (2020), "Vibration analysis of nonlocal strain gradient porous FG composite plates coupled by visco-elastic foundation based on DQM", Coupled Syst. Mech., 9(3), 201-217. https://doi.org/10.12989/csm.2020.9.3.201.
  4. Ahmed, R.A., Fenjan, R.M. and Faleh, N.M. (2019), "Analyzing post-buckling behavior of continuously graded FG nanobeams with geometrical imperfections," Geomech. Eng., 17(2), 175-180. https://doi.org/10.12989/gae.2019.17.2.175.
  5. Ahmed, R.A., Fenjan, R.M., Hamad, L.B. and Faleh, N.M. (2020), "A review of effects of partial dynamic loading on dynamic response of nonlocal functionally graded material beams", Adv. Mater. Res., 9(1), 33-48. https://doi.org/10.12989/amr.2020.9.1.033.
  6. Ahmed, R.A., Al-Toki, M.H., Faleh, N.M. and Fenjan, R.M. (2021), "Nonlinear stability of higher-order porous metal foam curved panels with stiffeners", Transp. Porous Med., 1-16. https://doi.org/10.1007/s11242-021-01691-2.
  7. Akbas, S.D. (2016), "Forced vibration analysis of viscoelastic nanobeams embedded in an elastic medium", Smart Struct. Syst., 18(6), 1125-1143. http://doi.org/10.12989/sss.2016.18.6.1125.
  8. Al-Maliki, A.F., Faleh, N.M. and Alasadi, A.A. (2019), "Finite element formulation and vibration of nonlocal refined metal foam beams with symmetric and non-symmetric porosities", Struct. Monit. Maint., 6(2), 147-159. https:// doi.org/10.12989/smm.2019.6.2.147.
  9. Al-Maliki, A.F., Ahmed, R.A., Moustafa, N.M. and Faleh, N.M. (2020), "Finite element based modeling and thermal dynamic analysis of functionally graded graphene reinforced beams", Adv. Comput. Des., 5(2), 177-193. https://doi.org/10.12989/acd.2020.5.2.177.
  10. Eringen, A.C. (1972), "Linear theory of nonlocal elasticity and dispersion of plane waves", Int. J. Eng. Sci., 10(5), 425-435. https://doi.org/10.1016/0020-7225(72)90050-X.
  11. Fenjan, R.M., Ahmed, R.A., Alasadi, A.A. and Faleh, N.M. (2019), "Nonlocal strain gradient thermal vibration analysis of double-coupled metal foam plate system with uniform and non-uniform porosities", Coupled Syst. Mech., 8(3), 247-257. https://doi.org/10.12989/csm.2019.8.3.247.
  12. Fenjan, R.M., Hamad, L.B. and Faleh, N.M. (2020a), "Mechanical-hygro-thermal vibrations of functionally graded porous plates with nonlocal and strain gradient effects", Adv. Aircr. Spacecr. Sci., 7(2), 169-186. https://doi.org/10.12989/aas.2020.7.2.169.
  13. Fenjan, R.M., Ahmed, R.A., Hamad, L.B. and Faleh, N.M. (2020b), "A review of numerical approach for dynamic response of strain gradient metal foam shells under constant velocity moving loads", Adv. Comput. Des., 5(4), 349-362. https://doi.org/10.12989/acd.2020.5.4.349.
  14. Guo, J., Chen, J. and Pan, E. (2016), "Static deformation of anisotropic layered magnetoelectroelastic plates based on modified couple-stress theory", Compos. Part B Eng., 107, 84-96. https://doi.org/10.1016/j.compositesb.2016.09.044.
  15. Hamad, L.B., Khalaf, B.S. and Faleh, N.M. (2019), "Analysis of static and dynamic characteristics of strain gradient shell structures made of porous nano-crystalline materials", Adv. Mater. Res., 8(3), 179-96. https://doi.org/10.12989/amr.2019.8.3.179.
  16. Heydari, A. (2020), "Buckling analysis of noncontinuous linear and quadratic axially graded Euler beam subjected to axial span-load in the presence of shear layer", Adv. Comput. Des., 5(4), 397-416. https://doi.org/10.12989/acd.2020.5.4.397.
  17. Jiang, L., Wang, Y., Wang, X., Ning, F., Wen, S., Zhou, Y. and Zhou, F.L. (2021), "Electrohydrodynamic printing of a dielectric elastomer actuator and its application in tunable lenses", Compos. Part A Appl. S., 147, 106461. https://doi.org/10.1016/j.compositesa.2021.106461.
  18. Ke, L.L., Wang, Y.S., Yang, J. and Kitipornchai, S. (2014), "The size-dependent vibration of embedded magneto-electro-elastic cylindrical nanoshells", Smart Mater. Struct., 23(12), 125036. https://doi.org/10.1088/0964-1726/23/12/125036.
  19. Kumaravel, A., Ganesan, N. and Sethuraman, R. (2007), "Buckling and vibration analysis of layered and multiphase magneto-electro-elastic beam under thermal environment", Multidiscip. Model. Mater. Struct., 3(4), 461-476. https://doi.org/10.1163/157361107782106401.
  20. Li, Y. and Shi, Z. (2009), "Free vibration of a functionally graded piezoelectric beam via state-space based differential quadrature", Compos. Struct., 87(3), 257-264. https://doi.org/10.1016/j.compstruct.2008.01.012.
  21. Liu, H., Liu, H. and Yang, J. (2018), "Vibration of FG magneto-electro-viscoelastic porous nanobeams on visco-Pasternak foundation", Compos. Part B Eng., 155, 244-256. https://doi.org/10.1016/j.compositesb.2018.08.042.
  22. Muhammad, A.K., Hamad, L.B., Fenjan, R.M. and Faleh, N.M. (2019), "Analyzing large-amplitude vibration of nonlocal beams made of different piezo-electric materials in thermal environment", Adv. Mater. Res., 8(3), 237-257. https://doi.org/10.12989/amr.2019.8.3.237.
  23. Pan, E. and Han, F. (2005), "Exact solution for functionally graded and layered magneto-electro-elastic plates", Int. J. Eng. Sci., 43(3-4), 321-339. https://doi.org/10.1016/j.ijengsci.2004.09.006.
  24. Polatov, A.M., Khaldjigitov, A.A. and Ikramov, A.M. (2020), "Algorithm of solving the problem of small elastoplastic deformation of fiber composites by FEM", Adv. Comput. Des., 5(3), 305-321. https://doi.org/10.12989/acd.2020.5.3.305.
  25. Raheef, K.M., Ahmed, R.A., Nayeeif, A.A., Fenjan, R.M. and Faleh, N.M. (2021), "Analyzing dynamic response of nonlocal strain gradient porous beams under moving load and thermal environment", Geomech. Eng., 26(1), 89-99. https://doi.org/10.12989/gae.2021.26.1.089.
  26. Singh, A. and Kumari, P. (2020), "Analytical free vibration solution for angle-ply piezolaminated plate under cylindrical bending: A piezo-elasticity approach", Adv. Comput. Des., 5(1), 55-89. https://doi.org/10.12989/acd.2020.5.1.055.
  27. Thai, H.T. and Vo, T.P. (2012), "A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams", Int. J. Eng. Sci., 54, 58-66. https://doi.org/10.1016/j.ijengsci.2012.01.009.
  28. Zhou, H., Xu, C., Lu, C., Jiang, X., Zhang, Z., Wang, J. and Wang, L. (2021), "Investigation of transient magnetoelectric response of magnetostrictive/piezoelectric composite applicable for lightning current sensing", Sensors Actuat. A Phys., 329, 112789. https://doi.org/10.1016/j.sna.2021.112789.