Steel and Composite Structures

  • 제42권5호
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  • Pages.649-655
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  • 2022
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Moving-load dynamic analysis of AFG beams under thermal effect

  • Akbas, S.D. (Department of Civil Engineering, Bursa Technical University)
  • 투고 : 2021.02.11
  • 심사 : 2022.03.06
  • 발행 : 2022.03.10
⟨ 이전 논문 다음 논문 ⟩

초록

In presented paper, moving load problem of simply supported axially functionally graded (AFG) beam is investigated under temperature rising based on the first shear beam theory. The material properties of beam vary along the axial direction. Material properties of the beam are considered as temperature-dependent. The governing equations of problem are derived by using the Lagrange procedure. In the solution of the problem the Ritz method is used and algebraic polynomials are used with the trivial functions for the Ritz method. In the solution of the moving load problem, the Newmark average acceleration method is used in the time history. In the numerical examples, the effects of material graduation, temperature rising and velocity of moving load on the dynamic responses ofAFG beam are presented and discussed.

키워드

참고문헌

  1. Akbas, S.D. (2013a), "Geometrically nonlinear static analysis of edge cracked Timoshenko beams composed of functionally graded material", Mathem. Prob. Eng., 2013. https://doi.org/10.1155/2013/871815.
  2. Akbas, S.D. (2013b), "Free vibration characteristics of edge cracked functionally graded beams by using finite element method", Int. J. Eng. Trends Technol., 4(10), 4590-4597.
  3. Akbas, S.D. (2014), "Free vibration of axially functionally graded beams in thermal environment", Int. J. Eng. Appl. Sci., 6(3), 37-51. https://doi.org/10.24107/ijeas.251224.
  4. Akbas, S.D. (2015a), "On post-buckling behavior of edge cracked functionally graded beams under axial loads", Int. J. Struct. Stab. Dyn., 15(04), 1450065. https://doi.org/10.1142/S0219455414500655.
  5. Akbas, S.D. (2015b), "Wave propagation of a functionally graded beam in thermal environments", Steel Compos. Struct., 19(6), 1421-1447. https://doi.org/10.12989/scs.2015.19.6.1421.
  6. Akbas, S.D. (2017a), "Stability of a non-homogenous porous plate by using generalized differantial quadrature method", Int. J. Eng. Appl. Sci., 9(2), 147-155. https://doi.org/10.24107/ijeas.322375.
  7. Akbas, S.D. (2017b), "Post-buckling responses of functionally graded beams with porosities", Steel Compos. Struct., 24(5), 579-589. https://doi.org/10.12989/scs.2017.24.5.579.
  8. Akbas, S.D. (2018a), "Thermal post-buckling analysis of a laminated composite beam", Struct. Eng. Mech., 67(4), 337-346. http://dx.doi.org/10.12989/sem.2018.67.4.337.
  9. Akbas, S.D. (2018b), "Investigation of static and vibration behaviors of a functionally graded orthotropic beam", Balikesir universitesi Fen Bilimleri Enstitusu Dergisi, 1-14. https://doi.org/10.25092/baunfbed.343227.
  10. Akbas, S.D. (2018c), "Geometrically nonlinear analysis of functionally graded porous beams", Wind Struct., 27(1), 59-70. https://doi.org/10.12989/was.2018.27.1.059.
  11. Akbas, S.D. (2019a), "Hygro-thermal nonlinear analysis of a functionally graded beam", J. Appl. Comput. Mech., 5(2), 477-485. http://dx.doi.org/10.22055/JACM.2018.26819.1360
  12. Akbas, S.D. (2019b), "Hygro-thermal post-buckling analysis of a functionally graded beam", Coup. Syst. Mech., 8(5), 459-471. http://dx.doi.org/10.12989/csm.2019.8.5.459.
  13. Akbas, S.D. (2020), "Geometrically nonlinear analysis of axially functionally graded beams by using finite element method", J. Comput. Appl. Mech., 51(2), 411-416. http://doi.org/10.22059/JCAMECH.2020.309019.548.
  14. Akbas, S.D. (2021a), "Forced vibration responses of axially functionally graded beams by using Ritz Method", J. Appl. Comput. Mech., 7(1), 109-115. http://dx.doi.org/10.22055/JACM.2020.34865.2491.
  15. Akbas, S.D. (2021b), "Dynamic analysis of axially functionally graded porous beams under a moving load", Steel Compos. Struct., 39(6), 811-821. https://doi.org/10.12989/scs.2021.39.6.811.
  16. Akbas, S.D. and Kocaturk, T. (2012), "Post-buckling analysis of Timoshenko beams with temperature-dependent physical properties under uniform thermal loading", Struct. Eng. Mech. 44(1), 109-125. https://doi.org/10.12989/sem.2012.44.1.109.
  17. Akbas, S.D. and Kocaturk, T. (2013), "Post-buckling analysis of functionally graded three-dimensional beams under the influence of temperature", J. Thermal Stresses, 36(12), 1233-1254. https://doi.org/10.1080/01495739.2013.788397.
  18. Alshorbagy, A.E., Eltaher, M.A. and Mahmoud, F.F. (2011), "Free vibration characteristics of a functionally graded beam by finite element method", Appl. Mathem. Modelling, 35(1), 412-425. https://doi.org/10.1016/j.apm.2010.07.006.
  19. Benahmed, A., Fahsi, B., Benzair, A., Zidour, M., Bourada, F. and Tounsi, A. (2019), "Critical buckling of functionally graded nanoscale beam with porosities using nonlocal higher-order shear deformation", Struct. Eng. Mech., 69(4), 457-466. https://doi.org/10.12989/sem.2019.69.4.457.
  20. Chen, X.L. and Liew, K.M. (2004), "Buckling of rectangular functionally graded material plates subjected to nonlinearly distributed in-plane edge loads", Smart Mater. Struct., 13(6), 1430. https://doi.org/10.1088/0964-1726/13/6/014.
  21. Ebrahimi, F. and Jafari, A. (2016), "A higher-order thermomechanical vibration analysis of temperature-dependent FGM beams with porosities", J. Eng., 2016. http://dx.doi.org/10.1155/2016/9561504.
  22. Esen, I. (2019), "Dynamic response of functional graded Timoshenko beams in a thermal environment subjected to an accelerating load", Europ. J. Mech.-A/Solids, 78, 103841. https://doi.org/10.1016/j.ijmecsci.2019.01.033.
  23. Fazzolari, F.A. (2018), "Generalized exponential, polynomial and trigonometric theories for vibration and stability analysis of porous FG sandwich beams resting on elastic foundations", Compos. Part B: Eng., 136, 254-271. https://doi.org/10.1016/j.compositesb.2017.10.022.
  24. Ghayesh, M.H. (2018), "Nonlinear vibration analysis of axially functionally graded shear-deformable tapered beams", Appl. Mathem. Modelling, 59, 583-596. https://doi.org/10.1016/j.apm.2018.02.017.
  25. Ghayesh, M.H., Farokhi, H., Gholipour, A. and Tavallaeinejad, M. (2017), "Nonlinear bending and forced vibrations of axially functionally graded tapered microbeams", Int. J. Eng. Sci., 120, 51-62. https://doi.org/10.1016/j.ijengsci.2017.03.010.
  26. Hosseini, S.A., Rahmani, O. and Bayat, S. (2021), "Thermal effect on forced vibration analysis of FG nanobeam subjected to moving load by Laplace transform method", Mech. Based Des. Struct. Mach., 1-20. https://doi.org/10.1080/15397734.2021.1943671.
  27. Hussain, M. and Naeem, M.N. (2019), "Vibration characteristics of zigzag and chiral FGM rotating carbon nanotubes sandwich with ring supports", J. Mech. Eng. Sci., Part C. 233(16), 5763-5780. https://doi.org/10.1177/0954406219855095.
  28. Jouneghani, F.Z., Dimitri, R. and Tornabene, F. (2018), "Structural response of porous FG nanobeams under hygro-thermo-mechanical loadings", Compos. Part B: Eng., 152, 71-78. https://doi.org/10.1016/j.compositesb.2018.06.023.
  29. Kirlangic, O. and Akbas, S.D. (2021), "Dynamic responses of functionally graded and layered composite beams", Smart Struct. Syst., 27(1), 115-122. https://doi.org/10.12989/sss.2021.27.1.115.
  30. Kocaturk, T. and Akbas, S.D. (2013), "Thermal post-buckling analysis of functionally graded beams with temperature-dependent physical properties", Steel Compos. Struct., 15(5), 481-505. https://doi.org/10.12989/scs.2013.15.5.481.
  31. Liu, B., Guo, M., Liu, C. and Xing, Y. (2019), "Free vibration of functionally graded sandwich shallow shells in thermal environments by a differential quadrature hierarchical finite element method", Compos. Struct., 225, 111173. https://doi.org/10.1016/j.compstruct.2019.111173.
  32. Liu, H., Zhang, Q. and Ma, J. (2021), "Thermo-mechanical dynamics of two-dimensional FG microbeam subjected to a moving harmonic load", Acta Astronautica, 178, 681-692. https://doi.org/10.1016/j.actaastro.2020.09.045.
  33. Malekzadeh, P. and Monajjemzadeh, S.M. (2013), "Dynamic response of functionally graded plates in thermal environment under moving load", Compos. Part B: Eng., 45(1), 1521-1533. https://doi.org/10.1016/j.compositesb.2012.09.022.
  34. Pegios, I.P. and Hatzigeorgiou, G.D. (2018), "Finite element free and forced vibration analysis of gradient elastic beam structures", Acta Mechanica, 229(12), 4817-4830. https://doi.org/10.1007/s00707-018-2261-9.
  35. Rajasekaran, S. and Khaniki, H.B. (2019), "Size-dependent forced vibration of non-uniform bi-directional functionally graded beams embedded in variable elastic environment carrying a moving harmonic mass", Appl. Mathem. Modelling, 72, 129-154. https://doi.org/10.1016/j.apm.2019.03.021.
  36. Reddy J.N. and Chin C.D, (1998), "Thermoelastical analysis of functionally graded cylinders and plates", J. Thermal Stresses, 21(6), 593-626, 1998. https://doi.org/10.1080/01495739808956165.
  37. Sharma, P., Singh, R. and Hussain, M. (2019), "On modal analysis of axially functionally graded material beam under hygrothermal effect", Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, https://doi.org/10.1177/0954406219888234.
  38. Sheng, G.G. and Wang, X. (2019), "Nonlinear forced vibration of functionally graded Timoshenko microbeams with thermal effect and parametric excitation", Int. J. Mech. Sci., 155, 405-416. https://doi.org/10.1016/j.ijmecsci.2019.03.015.
  39. Simsek, M., Kocaturk, T. and Akbas, S.D. (2012), "Dynamic behavior of an axially functionally graded beam under action of a moving harmonic load", Compos. Struct., 94(8), 2358-2364. https://doi.org/10.1016/j.compstruct.2012.03.020.
  40. Sofiyev, A.H. (2010), "Dynamic response of an FGM cylindrical shell under moving loads", Compos. Struct., 93(1), 58-66. https://doi.org/10.1016/j.compstruct.2010.06.015.
  41. Taati, E. and Fallah, F. (2019), "Exact solution for frequency response of sandwich microbeams with functionally graded cores", J. Vib. Control, 25(19-20), 2641-2655. https://doi.org/10.1177/1077546319864645.
  42. Tao, C., Fu, Y. M. and Dai, H. L. (2016), "Nonlinear dynamic analysis of fiber metal laminated beams subjected to moving loads in thermal environment", Compos. Struct., 140, 410-416. https://doi.org/10.1016/j.compstruct.2015.12.011.
  43. Van Bui, T. (2017), "Effect of temperature and porosities on dynamic response of functionally graded beams carrying a moving load", Sci. Technol. Develop. J., 20(K2), 24-33. https://doi.org/10.32508/stdj.v20iK2.445.
  44. Wang, Y. and Wu, D. (2016), "Thermal effect on the dynamic response of axially functionally graded beam subjected to a moving harmonic load", Acta Astronautica, 127, 171-181. https://doi.org/10.1016/j.actaastro.2016.05.030.
  45. Wattanasakulpong, N. and Ungbhakorn, V. (2014), "Linear and nonlinear vibration analysis of elastically restrained ends FGM beams with porosities", Aeros. Sci. Technol., 32(1), 111-120. https://doi.org/10.1016/j.ast.2013.12.002.
  46. Wu, D., Liu, A., Huang, Y., Huang, Y., Pi, Y. and Gao, W. (2018), "Dynamic analysis of functionally graded porous structures through finite element analysis", Eng. Struct., 165, 287-301. https://doi.org/10.1016/j.engstruct.2018.03.023.
  47. Yang, J., Chen, D. and Kitipornchai, S. (2018), "Buckling and free vibration analyses of functionally graded graphene reinforced porous nanocomposite plates based on Chebyshev-Ritz method", Compos. Struct., 193, 281-294. https://doi.org/10.1016/j.compstruct.2018.03.090.
  48. Zhao, J., Xie, F., Wang, A., Shuai, C., Tang, J. and Wang, Q. (2019), "Vibration behavior of the functionally graded porous (FGP) doubly-curved panels and shells of revolution by using a semi-analytical method", Compos. Part B: Eng., 157, 219-238. https://doi.org/10.1016/j.compositesb.2018.08.087.