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http://dx.doi.org/10.12989/gae.2021.26.1.089

Analyzing dynamic response of nonlocal strain gradient porous beams under moving load and thermal environment  

Raheef, Kareem Mohsen (Mustansiriah University)
Ahmed, Ridha A. (Mustansiriah University)
Nayeeif, Adil Abed (Mustansiriah University)
Fenjan, Raad M. (Mustansiriah University)
Faleh, Nadhim M. (Mustansiriah University)
Publication Information
Geomechanics and Engineering / v.26, no.1, 2021 , pp. 89-99 More about this Journal
Abstract
This research presents dynamic response analysis of a porous functionally graded (FG) nanobeam under a moving point load. The nanobeam formulation has been established with the use of a higher-order refined beam model and nonlocal strain gradient theory (NSGT) including two scale factors named nonlocal and strain gradient factors. The porous FG material has been modeled via modified power-law functions which contain porosity volume according to even or uneven porosity dispersions. Moreover, graded nonlocality has been considered in order to provide a better modeling of size effects for FG nano-size structures. The governing equations of the nanobeam have been discretized with the use of differential quadrature method (DQM) and inverse Laplace transform approach has been utilized to calculate the dynamic deflections. The main findings of the present research indicate the influences of nonlocal strain gradient factors, moving load speed, pore amount, porosity distribution and elastic medium on dynamic deflection of FG nanobeams.
Keywords
dynamic response; moving load; porosity; strain gradient; thermal load;
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1 Simsek, M. (2010), "Dynamic analysis of an embedded microbeam carrying a moving microparticle based on the modified couple stress theory", Int. J. Eng. Sci., 48(12), 1721-1732. https://doi.org/10.1016/j.ijengsci.2010.09.027.   DOI
2 Khaniki, H.B. and Hosseini-Hashemi, S. (2017), "The size-dependent analysis of multilayered microbridge systems under a moving load/mass based on the modified couple stress theory", Eur. Phys. J. Plus, 132(5), 200. https://doi.org/10.1140/epjp/i2017-11466-0.   DOI
3 Zhang, Q. and Liu, H. (2020). On the dynamic response of porous functionally graded microbeam under moving load", Int. J. Eng. Sci., 153, 103317. https://doi.org/10.1016/j.ijengsci.2020.103317.   DOI
4 Zhang, B., He, Y., Liu, D., Shen, L. and Lei, J. (2015), "Free vibration analysis of four-unknown shear deformable functionally graded cylindrical microshells based on the strain gradient elasticity theory", Compos. Struct., 119, 578-597. https://doi.org/10.1016/j.compstruct.2014.09.032.   DOI
5 Fenjan, R.M., Ahmed, R.A. and Faleh, N.M. (2021), "Post-buckling analysis of imperfect nonlocal piezoelectric beams under magnetic field and thermal loading", Struct. Eng. Mech., 78(1), 15-22. https://doi.org/10.12989/sem.2021.78.1.015.   DOI
6 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.   DOI
7 El-Hassar, S. M., Benyoucef, S., Heireche, H. and Tounsi, A. (2016), "Thermal stability analysis of solar functionally graded plates on elastic foundation using an efficient hyperbolic shear deformation theory", Geomech. Eng., 10(3), 357-386. https://doi.org/10.12989/gae.2016.10.3.357.   DOI
8 Kunbar, L.A.H., Hamad, L.B., Ahmed, R.A. and Faleh, N.M. (2020), "Nonlinear vibration of smart nonlocal magneto-electroelastic beams resting on nonlinear elastic substrate with geometrical imperfection and various piezoelectric effects", Smart Struct. Syst., 25(5), 619-630. https://doi.org/10.12989/sss.2020.25.5.619.   DOI
9 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.   DOI
10 Mirjavadi, S.S., Bayani, H., Khoshtinat, N., Forsat, M., Barati, M.R. and Hamouda, A.M.S. (2020a), "On nonlinear vibration behavior of piezo-magnetic doubly-curved nanoshells", Smart Struct. Syst., 26(5), 631-640. https://doi.org/10.12989/sss.2020.26.5.631.   DOI
11 She, G.L., Yuan, F.G., Ren, Y.R., Liu, H.B. and Xiao, W.S. (2018), "Nonlinear bending and vibration analysis of functionally graded porous tubes via a nonlocal strain gradient theory', Compos. Struct., 203, 614-623. https://doi.org/10.1016/j.compstruct.2018.07.063.   DOI
12 Barati, M.R. (2018), "Vibration analysis of porous FG nanoshells with even and uneven porosity distributions using nonlocal strain gradient elasticity. Acta Mech., 229(3), 1183-1196. https://doi.org/10.1007/s00707-017-2032-z.   DOI
13 Ebrahimi, F., Barati, M.R. and Zenkour, A.M. (2018), "A new nonlocal elasticity theory with graded nonlocality for thermomechanical vibration of FG nanobeams via a nonlocal thirdorder shear deformation theory", Mech. Adv. Mater. Struct., 25(6), 512-522. https://doi.org/10.1080/15376494.2017.1285458.   DOI
14 Shahsavari, D., Karami, B., Janghorban, M. and Li, L. (2017), "Dynamic characteristics of viscoelastic nanoplates under moving load embedded within visco-Pasternak substrate and hygrothermal environment", Mater. Res. Express, 4(8), 085013. https://doi.org/10.1088/2053-1591/aa7d89.   DOI
15 Simsek, M. (2019). Some closed-form solutions for static, buckling, free and forced vibration of functionally graded (FG) nanobeams using nonlocal strain gradient theory", Compos. Struct., 224, 111041. https://doi.org/10.1016/j.compstruct.2019.111041.   DOI
16 Atmane, H.A., Tounsi, A., Bernard, F. and Mahmoud, S.R. (2015), "A computational shear displacement model for vibrational analysis of functionally graded beams with porosities," Steel Compos. Struct., 19(2), 369-384. https://doi.org/10.12989/scs.2015.19.2.369.   DOI
17 Abouelregal, A.E. and Zenkour, A.M. (2017), "Dynamic response of a nanobeam induced by ramp-type heating and subjected to a moving load", Microsyst. Technol., 23(12), 5911-5920. https://doi.org/10.1007/s00542-017-3365-1.   DOI
18 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.   DOI
19 Akgoz, B. and Civalek, O. (2015), "A microstructure-dependent sinusoidal plate model based on the strain gradient elasticity theory", Acta Mech., 226(7), 2277-2294. https://doi.org/10.1007/s00707-015-1308-4.   DOI
20 Arefi, M. and Zenkour, A.M. (2016), "Free vibration, wave propagation and tension analyses of a sandwich micro/nano rod subjected to electric potential using strain gradient theory", Mater. Rese. Express, 3(11), 115704. https://doi.org/10.1088/2053-1591/3/11/115704.   DOI
21 Eltaher, M.A., Emam, S.A. and Mahmoud, F.F. (2012), "Free vibration analysis of functionally graded size-dependent nanobeams", Appl. Math. Comput., 218(14), 7406-7420. https://doi.org/10.1016/j.amc.2011.12.090.   DOI
22 Eringen, A.C. (1983), "On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves", J. Appl. Phys., 54(9), 4703-4710. https://doi.org/10.1063/1.332803.   DOI
23 Lou, J., He, L., Wu, H. and Du, J. (2016), "Pre-buckling and buckling analyses of functionally graded microshells under axial and radial loads based on the modified couple stress theory", Compos. Struct., 142, 226-237. https://doi.org/10.1016/j.compstruct.2016.01.083.   DOI
24 Issad, M.N., Fekrar, A., Bakora, A., Bessaim, A. and Tounsi, A. (2018), "Free vibration and buckling analysis of orthotropic plates using a new two variable refined plate theory", Geomech. Eng., 15(1), 711-719. https://doi.org/10.12989/gae.2018.15.1.711.   DOI
25 Lam, D.C., Yang, F., Chong, A.C.M., Wang, J. and Tong, P. (2003), "Experiments and theory in strain gradient elasticity", J. Mech. Phys. Solids, 51(8), 1477-1508. https://doi.org/10.1016/S0022-5096(03)00053-X.   DOI
26 Li, L., Hu, Y. and Ling, L. (2015), "Flexural wave propagation in small-scaled functionally graded beams via a nonlocal strain gradient theory", Compos. Struct., 133, 1079-1092. https://doi.org/10.1016/j.compstruct.2015.08.014.   DOI
27 Martinez-Criado, G. (2016), "Application of micro-and nanobeams for materials science", Synchrotron Light Sources Free-electron Lasers Accelerator Physics, Instrument. Sci. Appl., 1505-1539. https://doi.org/10.1007/978-3-319-14394-1_46.
28 Mirjavadi, S.S., Forsat, M., Yahya, Y.Z., Barati, M.R., Jayasimha, A.N. and Hamouda, A.M.S. (2020b), "Porosity effects on post-buckling behavior of geometrically imperfect metal foam doubly-curved shells with stiffeners", Struct. Eng. Mech., 75(6), 701-711. https://doi.org/10.12989/sem.2020.75.6.701.   DOI
29 Nami, M.R. and Janghorban, M. (2014), "Resonance behavior of FG rectangular micro/nano plate based on nonlocal elasticity theory and strain gradient theory with one gradient constant. Compos. Struct., 111, 349-353. https://doi.org/10.1016/j.compstruct.2014.01.012.   DOI