1 |
Ke, L.L., Yang, J. and Kitipornchai, S. (2010b), "An analytical study on the nonlinear vibration of functionally graded beams", Meccanica, 45(6), 743-752.
DOI
|
2 |
Lai, S.K., Harrington, J., Xiang, Y. and Chow, K.W. (2012), "Accurate analytical perturbation approach for large amplitude vibration of functionally graded beams", Int. J. Non-Linear Mech., 47(5), 473-480.
DOI
|
3 |
Lu, X.X. and Hu, Z. (2012), "Mechanical property evaluation of single-walled carbon nanotubes by finite element modeling", Compos. Part B: Eng., 43(4), 1902-1913.
DOI
|
4 |
Malekzadeh, P. and Dehbozorgi, M. (2016), "Low velocity impact analysis of functionally graded carbon nanotubes reinforced composite skew plates", Compos. Struct., 140, 728-748.
DOI
|
5 |
Malekzadeh, P. and Heydarpour, Y. (2015), "Mixed Navierlayerwise differential quadrature three-dimensional static and free vibration analysis of functionally graded carbon nanotube reinforced composite laminated plates", Meccanica, 50(1), 143-167.
DOI
|
6 |
Malekzadeh, P. and Setoodeh, A.R. (2007), "Large deformation analysis of moderately thick laminated plates on nonlinear elastic foundation by DQM", Compos. Struct., 80(4), 569-579.
DOI
|
7 |
Malekzadeh, P. and Vosoughi, A.R. (2009), "DQM large amplitude vibration of composite beams on nonlinear elastic foundation with restrained edges", Common. Nonlinear Sci. Numer. Simul., 14(3), 906-915.
DOI
|
8 |
Malekzadeh, P. and Zarei, A.R. (2014), "Free vibration of quadrilateral laminated plates with carbon nanotube reinforced composite layers", Thin-Wall. Struct., 82, 221-232.
DOI
|
9 |
Mehrabadi, S.J., Aragh, B.S., Khoshkhahesh, V. and Taherpour, A. (2012), "Mechanical buckling of nanocomposite rectangular plate reinforced by aligned and straight single-walled carbon nanotubes", Compos. Part B: Eng., 43(4), 2031-2040.
DOI
|
10 |
Rao, S.S. (2007), Vibration of Continuous Systems, John Wiley and Sons, Hoboken, NJ, USA.
|
11 |
Setoodeh, A.R. and Rezaei, M. (2017a), "Large amplitude free vibration analysis of functionally graded nano/micro beams on nonlinear elastic foundation", Struct. Eng. Mech., Int. J., 61(2), 209-220.
DOI
|
12 |
Sahoo, R. and Singh, B.N. (2014), "A new trigonometric zigzag theory for buckling and free vibration analysis of laminated composite and sandwich plates", Compos. Struct., 117, 316-332.
DOI
|
13 |
Sedighi, H.M., Shirazi, K.H. and Zare, J. (2012), "An analytic solution of transversal oscillation of quintic non-linear beam with homotopy analysis method", Int. J. Non-Linear Mech., 47(7), 777-784.
DOI
|
14 |
Setoodeh, A.R. and Afrahim, S. (2014), "Nonlinear dynamic analysis of FG micro-pipes conveying fluid based on strain gradient theory", Compos. Struct., 116, 128-135.
DOI
|
15 |
Setoodeh, A.R. and Rezaei, M. (2017b), "An explicit solution for the size-dependent large amplitude transverse vibration of thin functionally graded micro-plates", Sci. Iran. [In press]
|
16 |
Setoodeh, A.R. and Shojaee, M. (2016), "Application of TW-DQ method to nonlinear free vibration analysis of FG carbon nanotube-reinforced composite quadrilateral plates", Thin-Wall. Struct., 108, 1-11.
DOI
|
17 |
Setoodeh, A.R., Rezaei, M. and Zendehdel Shahri, M.R. (2016), "Linear and nonlinear torsional free vibration of functionally graded micro/nano-tubes based on modified couple stress theory", Appl. Math. Mech. Eng. Ed., 37(6), 725-740.
DOI
|
18 |
Alesadi, A., Galehdari, M. and Shojaee, S. (2017), "Free vibration and buckling analysis of cross-ply laminated composite plates using Carrera's unified formulation based on Isogeometric approach", Comput. Struct., 183, 38-47.
DOI
|
19 |
Anjana, R., Sharma, S. and Bansal, A. (2016), "Molecular dynamics simulation of carbon nanotube reinforced polythylene composites", J. Compos. Mater. DOI: 10.1177/0021998316674264
DOI
|
20 |
Setoodeh, A.R. and Shojaee, M. (2017), "Critical buckling load optimization of functionally graded carbon-nanotube reinforced laminated composite quadrilateral plates", Polym. Compos. DOI: 10.1002/pc.24289
DOI
|
21 |
Shen, H.S. (2009), "Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments", Compos. Struct., 91(1), 9-19.
DOI
|
22 |
Togun, N. and Bagdatli, S.M. (2016a), "Size dependent nonlinear vibration of the tensioned nanobeam based on the modified couple stress theory", Compos. Part B: Eng., 97, 255-262.
DOI
|
23 |
Sun, C.H., Li, F., Cheng, H.M. and Lu, G.Q. (2005), "Axial Young's modulus prediction of single-walled carbon nanotube arrays with diameters from nanometer to meter scales", Appl. Phys. Lett., 87(19), 193101.
DOI
|
24 |
Thostenson, E.T. and Chou, T.W. (2003), "On the elastic properties of carbon nanotube-based composites: Modelling and characterization", J. Phys.-Appl. Phys., 36(5), 573-582.
DOI
|
25 |
Thostenson, E.T., Ren, Z.F. and Chou, T.W. (2001), "Advances in the science and technology of carbon nanotubes and their composites: A review", Compos. Sci. Technol., 61(13), 1899-1912.
DOI
|
26 |
Togun, N. and Bagdatli, S.M. (2016b), "Nonlinear vibration of a nanobeam on a Pasternak elastic foundation based on non-local Euler-Bernoulli beam theory", Math. Comput. Appl., 21(1), 3.
|
27 |
Bagdatli, S.M. (2015b), "Non-linear transverse vibrations of tensioned nanobeams using nonlocal beam theory", Struct. Eng. Mech., Int. J., 55(2), 281-298.
DOI
|
28 |
Ansari, R., Faghih Shojaei, M., Mohammadi, V., Gholami, R. and Sadeghi, F. (2014), "Nonlinear forced vibration analysis of functionally graded carbon nanotube-reinforced composite Timoshenko beams", Compos. Struct., 113, 316-327.
DOI
|
29 |
Azrar, L., Benamar, R. and White, R.G. (1999), "A semi-analytical approach to the nonlinear dynamic response problem of S-S and C-C beams at large vibration amplitudes, part I: General theory and application to the single mode approach to free and forced vibration analysis", J. Sound Vib., 224(2), 183-207.
DOI
|
30 |
Bagdatli, S.M. (2015a), "Non-linear vibration of nanobeams with various boundary condition based on nonlocal elasticity theory", Compos. Part B: Eng., 80, 43-52.
DOI
|
31 |
Wu, H.L., Yang, J. and Kitipornchai, S. (2016), "Nonlinear vibration of functionally graded carbon nanotube-reinforced composite beams with geometric imperfections", Compos. Part B: Eng., 90, 86-96.
DOI
|
32 |
Vodenitcharova, T. and Zhang, L.C. (2006), "Bending and local buckling of a nanocomposite beam reinforced by a singlewalled carbon nanotube", Int. J. Solids Struct., 43(10), 3006-3024.
DOI
|
33 |
Vosoughi, A.R., Malekzadeh, P., Banan, Ma.R. and Banan, Mo.R. (2012), "Thermal buckling and postbuckling of laminated composite beams with temperature-dependent properties", Int. J. Non-Linear Mech., 47(3), 96-102.
DOI
|
34 |
Wang, Q., Shi, D. and Liang, Q. (2016), "Free vibration analysis of axially loaded laminated composite beams with general boundary conditions by using a modified Fourier-Ritz approach", J. Compos. Mater., 50(15), 2111-2135.
DOI
|
35 |
Esawi, A.M.K. and Farag, M.M. (2007), "Carbon nanotube reinforced composites: potential and current challenges", Mater. Des., 28(9), 2394-2401.
DOI
|
36 |
Bayat, M., Pakar, I. and Emadi, A. (2013), "Vibration of electrostatically actuated microbeam by means of homotopy perturbation method", Struct. Eng. Mech., Int. J., 48(6), 823-831.
DOI
|
37 |
Biswal, M., Sahu, S.K. and Asha, A.V. (2016), "Vibration of composite cylindrical shallow shells subjected to hygrothermal loading-experimental and numerical results", Compos. Part B: Eng., 98, 108-119.
DOI
|
38 |
Cadec, M., Coleman, J.N., Barron, V., Hedicke, K. and Blau, W.J. (2002), "Morphological and mechanical properties of carbonnanotube-reinforced semicrystalline and amorphous polymer composites", Appl. Phys. Lett., 81(27), 5123-5125.
DOI
|
39 |
Fiedler, B., Gojny, F.H., Wichmann, M.H.G., Notle, M.C.M. and Schulte. K. (2006), "Fundamental aspects of nano-reinforced composites", Compos. Sci. Technol., 66(16), 3115-3125.
DOI
|
40 |
Wuite, J. and Adali, S. (2005), "Deflection and stress behaviour of nanocomposite reinforced beams using a multiscale analysis", Compos. Struct., 71(3-4), 388-396.
DOI
|
41 |
Yas, M.H. and Samadi, N. (2012), "Free vibration and buckling analysis of carbon nanotube-reinforced composite Timoshenko beams on elastic foundation", Int. J. Press. Vessels Pip., 98, 119-128.
DOI
|
42 |
Yazdi, A.A. (2013), "Homotopy perturbation method for nonlinear vibration analysis of functionally graded plate", J. Vib. Acoust., 135(2), 021012.
DOI
|
43 |
Zafarmand, H. and Kadkhodayan, M. (2014), "Nonlinear analysis of functionally graded nanocomposite rotating thick disks with variable thickness reinforced with carbon nanotubes", Aerosp. Sci. Technol., 41, 47-54.
|
44 |
Zhu, P., Lei, Z.X. and Liew, K.M. (2012), "Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory", Compos. Struct., 94(4), 1450-1460.
DOI
|
45 |
He, J.H. (1999), "Variational iteration method-a kind of non-linear analytical technique: some examples", Int. J. Non-Linear Mech., 34(4), 699-708.
DOI
|
46 |
Formica, G., Lacarbonara, W. and Alessi, R. (2010), "Vibrations of carbon nanotube-reinforced composites", J. Sound Vib., 329(10), 1875-1889.
DOI
|
47 |
Ghorbani Shenas, A., Malekzadeh, P. and Ziaee, S. (2017), "Vibration analysis of pre-twisted functionally graded carbon nanotube reinforced composite beams in thermal environment", Compos. Struct., 162, 325-340.
DOI
|
48 |
Han, Y. and Elliot, J. (2007), "Molecular dynamics simulations of the elastic properties of polymer/carbon nanotube composites", Comput. Mater. Sci., 39(2), 315-323.
DOI
|
49 |
Heydarpour, Y., Aghdam, M.M. and Malekzadeh, P. (2014), "Free vibration analysis of rotating functionally graded carbon nanotube-reinforced composite truncated conical shells", Compos. Struct., 117, 187-200.
DOI
|
50 |
He, J.H. (2007), "Variational iteration method-Some recent results and new interpretations", J. Comput. Appl. Math., 207(1), 3-17.
DOI
|
51 |
Iijima, S. (1991), "Helical microtubules of graphitic carbon", Nature, 354(6348), 56-58.
DOI
|
52 |
Javanmard, M., Bayat, M. and Ardakani, A. (2013), "Nonlinear vibration of Euler-Bernoulli beams resting on linear elastic foundation", Steel Compos. Struct., Int. J., 15(4), 439-449.
DOI
|
53 |
Jooybar, N., Malekzadeh, P. and Fiouz, A. (2016), "Vibration of functionally graded carbon nanotubes reinforced composite truncated conical panels with elastically restrained against rotation edges in thermal environment", Compos. Part B: Eng., 106, 242-261.
DOI
|
54 |
Ke, L.L., Yang, J. and Kitipornchai, S. (2010a), "Nonlinear free vibration of functionally graded carbon nanotube-reinforced composite beams", Compos. Struct., 92(3), 676-683.
DOI
|