Abstract.
The present work is mainly focused on studying the influences of angular velocity on the wave propagation responses of functionally graded (FG) piezo-electric nanobeams. Moreover, the effects of porosity are also regarded in the wave propagation analysis of size-dependent FG beams. The distribution of electro-mechanical properties of a piezo-electric beam are precisely described employing power-law formulation. The nonlocal elasticity theory is utilized to account for the influences of small scale. Herein, a classical beam theory is expounded to derive the nonlocal governing equations of the nanobeam. Once the governing equations are completely derived, an analytical solution method is applied to obtain the dispersion relations of propagating waves. A comparison of this model with previous studies is then made to show the validity of the obtained results. Finally, the influences of various variants, such as wave number, nonlocal parameter, gradient index, electric voltage, volume fraction of porosity and angular velocity, are studied in detail to show how these parameters can affect the wave frequency, phase velocity and escape frequency of FG smart rotary porous nanobeams.
Similar content being viewed by others
References
S. Iijima, Nature 354, 56 (1991)
A.C. Eringen, Int. J. Eng. Sci. 10, 425 (1972)
A.C. Eringen, J. Appl. Phys. 54, 4703 (1983)
F. Ebrahimi, M.R. Barati, Arab. J. Sci. Eng. 41, 1679 (2016)
F. Ebrahimi, M.R. Barati, Eur. Phys. J. Plus 131, 279 (2016)
F. Ebrahimi, M.R. Barati, Appl. Phys. A 122, 1 (2016)
F. Ebrahimi, M.R. Barati, Appl. Phys. A 122, 792 (2016)
F. Ebrahimi, M.R. Barati, Int. J. Eng. Sci. 107, 183 (2016)
F. Ebrahimi, M.R. Barati, Compos. Struct. 159, 433 (2017)
F. Ebrahimi, M. Boreiry, Appl. Phys. A 121, 1305 (2015)
F. Ebrahimi, M.R. Barati, Eur. Phys. J. Plus 131, 1 (2016)
F. Ebrahimi, M.R. Barati, J. Mech. 33, 23 (2016)
F. Ebrahimi, M.R. Barati, Compos. Struct. 159, 174 (2017)
S. Narendar, S. Gopalakrishnan, Comput. Mater. Sci. 47, 526 (2009)
F. Ebrahimi, E. Salari, Acta Astron. 113, 29 (2015)
F. Ebrahimi, M.R. Barati, Arab. J. Sci. Eng. (2016) DOI:10.1007/s13369-016-2266-4
F. Ebrahimi, M.R. Barati, Appl. Phys. A 122, 843 (2016)
F. Ebrahimi, M. Ghadiri, E. Salari, S.A.H. Hoseini, G.R. Shaghaghi, J. Mech. Sci. Technol. 29, 1207 (2015)
F. Ebrahimi, E. Salari, S.A.H. Hosseini, J. Therm. Stresses 38, 1360 (2015)
F. Ebrahimi, M.R. Barati, Adv. Nano Res. 4, 65 (2016)
F. Ebrahimi, M.R. Barati, Int. J. Smart Nano Mater. 7, 69 (2016)
F. Ebrahimi, M.R. Barati, Mech. Adv. Mater. Struct. (2016) DOI:10.1080/15376494.2016.1196795
F. Ebrahimi, S.H.S. Hosseini, J. Therm. Stresses 39, 606 (2016)
F. Ebrahimi, N. Shafiei, Mech. Adv. Mater. Struct. 24, 761 (2017)
R. Barretta, L. Feo, R. Luciano, F.M. de Sciarra, Compos. Part B: Eng. 96, 274 (2016)
M. Koizumi, M. Niino, MRS Bull. 20, 19 (1995)
F. Ebrahimi, A. Rastgoo, Arch. Appl. Mech. 81, 361 (2011)
F. Ebrahimi, A. Rastgoo, Int. J. Mech. Mater. Design 5, 157 (2009)
F. Ebrahimi, E. Salari, S.A.H. Hosseini, Meccanica 51, 951 (2016)
F. Ebrahimi, M.R. Barati, Int. J. Smart Nano Mater. 7, 119 (2016)
F. Ebrahimi, M.R. Barati, J. Vib. Control (2016) DOI:10.1177/1077546316646239
F. Ebrahimi, M.R. Barati, Appl. Phys. A 122, 910 (2016)
F. Ebrahimi, M.R. Barati, Smart Mater. Struct. 25, 105014 (2016)
F. Ebrahimi, M.R. Barati, J. Intell. Mater. Syst. Struct. (2016) DOI:10.1177/1045389X16672569
F. Ebrahimi, M.R. Barati, A. Dabbagh, Int. J. Eng. Sci. 107, 169 (2016)
F. Ebrahimi, A. Dabbagh, Compos. Struct. 162, 281 (2017)
F. Ebrahimi, M.R. Barati, P. Haghi, J. Therm. Stresses (2016) DOI:10.1080/01495739.2016.1230483
F. Ebrahimi, S.H.S. Hosseini, Eur. Phys. J. Plus 131, 1 (2016)
F. Ebrahimi, Mech. Adv. Mater. Struct. 20, 854 (2013)
F. Ebrahimi, F. Ghasemi, E. Salari, Meccanica 51, 223 (2016)
M.A. Eltaher, S.A. Emam, F.F. Mahmoud, Appl. Math. Comput. 218, 7406 (2012)
H.M. Sedighi, F. Daneshmand, M. Abadyan, Compos. Struct. 124, 55 (2015)
R. Barretta, R. Luciano, F. Marotti de Sciarra, Math. Probl. Eng. 2015, 495095 (2015)
R. Barretta, L. Feo, R. Luciano, F.M. de Sciarra, R. Penna, Compos. Part B: Eng. 100, 208 (2016)
M. Čanadija, R Barretta, F.M. de Sciarra, Compos. Struct. 135, 286 (2016)
F. Ebrahimi, E. Salari, Compos. Struct. 128, 363 (2015)
F. Ebrahimi, E. Salari, Compos. Part B: Eng. 79, 156 (2015)
F. Ebrahimi, E. Salari, Smart Mater. Struct. 24, 125007 (2015)
F. Ebrahimi, M.R. Barati, Arab. J. Sci. Eng. 41, 1679 (2016)
F. Ebrahimi, M.R. Barati, Eur. Phys. J. Plus 131, 279 (2016)
F. Ebrahimi, M.R. Barati, Appl. Phys. A 122, 792 (2016)
F. Ebrahimi, E. Salari, Appl. Phys. A 122, 793 (2016)
K. Kiani, Int. J. Eng. Sci. 106, 57 (2016)
F. Ebrahimi, M.R. Barati, J. Braz. Soc. Mech. Sci. Eng. 39, 937 (2017)
F. Ebrahimi, M.R. Barati, P. Haghi, Eur. Phys. J. Plus 131, 383 (2016)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ebrahimi, F., Dabbagh, A. Wave propagation analysis of smart rotating porous heterogeneous piezo-electric nanobeams. Eur. Phys. J. Plus 132, 153 (2017). https://doi.org/10.1140/epjp/i2017-11366-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2017-11366-3