JOURNAL BROWSE
Search
Advanced SearchSearch Tips
Nonlinear static and vibration analysis of Euler-Bernoulli composite beam model reinforced by FG-SWCNT with initial geometrical imperfection using FEM
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Nonlinear static and vibration analysis of Euler-Bernoulli composite beam model reinforced by FG-SWCNT with initial geometrical imperfection using FEM
Mohammadimehr, M.; Alimirzaei, S.;
 Abstract
In this paper, the nonlinear static and free vibration analysis of Euler-Bernoulli composite beam model reinforced by functionally graded single-walled carbon nanotubes (FG-SWCNTs) with initial geometrical imperfection under uniformly distributed load using finite element method (FEM) is investigated. The governing equations of equilibrium are derived by the Hamilton`s principle and von Karman type nonlinear strain-displacement relationships are employed. Also the influences of various loadings, amplitude of the waviness, UD, USFG, and SFG distributions of carbon nanotube (CNT) and different boundary conditions on the dimensionless transverse displacements and nonlinear frequency ratio are presented. It is seen that with increasing load, the displacement of USFG beam under force loads is more than for the other states. Moreover it can be seen that the nonlinear to linear natural frequency ratio decreases with increasing aspect ratio (h/L) for UD, USFG and SFG beam. Also, it is shown that at the specified value of (h/L), the natural frequency ratio increases with the increasing the values amplitude of waviness while the dimensionless nonlinear to linear maximum deflection decreases. Moreover, with considering the amplitude of waviness, the stiffness of Euler-Bernoulli beam model reinforced by FG-CNT increases. It is concluded that the R parameter increases with increasing of volume fraction while the rate of this parameter decreases. Thus one can be obtained the optimum value of FG-CNT volume fraction to prevent from resonance phenomenon.
 Keywords
nonlinear static and free vibration analysis;Euler-Bernoulli composite beam model;various distribution patterns of SWCNTs;geometrical imperfection;FEM;
 Language
English
 Cited by
1.
The effect of non-local higher order stress to predict the nonlinear vibration behavior of carbon nanotube conveying viscous nanoflow, Physica B: Condensed Matter, 2017, 510, 48  crossref(new windwow)
2.
Stress and free vibration analysis of piezoelectric hollow circular FG-SWBNNTs reinforced nanocomposite plate based on modified couple stress theory subjected to thermo-mechanical loadings, Journal of Vibration and Control, 2017, 107754631770688  crossref(new windwow)
 References
1.
Akbas, S.D. (2015), "Large deflection analysis of edge cracked simple supported beams", Struct. Eng. Mech., 54(3), 433-451 crossref(new window)

2.
Ansari, R. and Ramezannezhad, S. (2011), "Nonlocal Timoshenko beam model for the large-amplitude vibrations of embedded multiwalled carbon nanotubes including thermal effects", Physica. E., 43, 1171-1178. crossref(new window)

3.
Bouiadjra, B.B., Bedia, E.A. and Tounsi, A. (2013), "Nonlinear thermal buckling behavior of functionally graded plates using an efficient sinusoidal shear deformation theory", Struct. Eng. Mech., 48(4), 547-567. crossref(new window)

4.
Eltaher, M.A., Abdelrahman, A.A., Al-Nabawy, A., Khater, M. and Mansour, A. (2014), "Vibration of nonlinear graduation of nano-Timoshenko beam considering the neutral axis position", Appl. Math. Comput., 235, 512-529. crossref(new window)

5.
Eltaher, M.A., Alshorbagy, A.E. and Mahmoud, F.F. (2013), "Vibration analysis of Euler-Bernoulli nanobeams by using finite element method", Appl. Math. Model., 37, 4787-4797. crossref(new window)

6.
Farshidianfar, A. and Soltani, P. (2012), "Nonlinear flow-induced vibration of a SWCNT with a geometrical imperfection", Comput. Mater. Sci., 53, 105-116. crossref(new window)

7.
Ghorbanpour Arani, A., Atabakhshian, V., Loghman, A., Shajari, A.R. and Amir, S. (2012), "Nonlinear vibration of embedded SWBNNTs based on nonlocal Timoshenko beam theory using DQ method", Physica B., 407, 2549-2555. crossref(new window)

8.
Heshmati, M. and Yas, M.H. (2013), "Vibrations of non-uniform functionally graded MWCNTs-polystyrene nano-composite beams under action of moving load", Mater. Des., 46, 206-218. crossref(new window)

9.
Lau, K.T., Gu, C., Gao, G.H., Ling, H.Y. and Reid, S. (2004), "Stretching process of single and multiwalled carbon nanotubes for nanocomposite", Appl. Carbon., 42, 8-426.

10.
Li, C. (2013), "Size-dependent thermal behaviors of axially traveling nanobeams based on a strain gradient theory", Struct. Eng. Mech., 48(3), 415-434. crossref(new window)

11.
Li, Z.M. (2014), "Thermal post buckling behavior of 3D braided beams with initial geometric imperfection under different type temperature distributions", Compos. Struct., 108, 924-936. crossref(new window)

12.
Liew, K.M., Lei, Z.X. and Zhan, L.W. (2015), "Mechanical analysis of functionally graded carbon nanotube reinforced composites", A Review, Compos. Struct., 120,90-97. crossref(new window)

13.
Mohammadimehr, M. and Mostafavifar, M. (2016), "Free vibration analysis of sandwich plate with a transversely flexible core and FG-CNTs reinforced nanocomposite face sheets subjected to magnetic field and temperature-dependent material properties using SGT", Compos. Part B: Eng., 94(1), 253-270. crossref(new window)

14.
Mohammadimehr, M. and Rahmati, A.H. (2013), "Small scale effect on electro-thermo-mechanical vibration analysis of single-walled boron nitride nanorods under electric excitation", Turk J. Eng. Environ. Sci., 37, 1-15.

15.
Mohammadimehr, M., Mohandes, M. and Moradi, M. (2016a), "Size dependent effect on the buckling and vibration analysis of double-bonded nanocomposite piezoelectric plate reinforced by boron nitride nanotube based on modified couple stress theory", J.Vib. Control, 22(7), 1790-1807. crossref(new window)

16.
Mohammadimehr, M., Monajemi, A.A. and Moradi, M. (2015a), "Vibration analysis of viscoelastic tapered micro-rod based on strain gradient theory resting on visco-pasternak foundation using DQM", J. Mech. Sci. Technol., 29(6), 2297-2305. crossref(new window)

17.
Mohammadimehr, M., Rousta Navi, B. and Ghorbanpour Arani, A. (2015b), "Free vibration of viscoelastic double-bonded polymeric nanocomposite plates reinforced by FG-SWCNTs using MSGT, sinusoidal shear deformation theory and meshless method", Compos. Struct., 131, 654-671. crossref(new window)

18.
Mohammadimehr, M., Salemi, M. and Rousta Navi, B. (2016b), "Bending, buckling, and free vibration analysis of MSGT microcomposite Reddy plate reinforced by FG-SWCNTs with temperature-dependent material properties under hydro-thermo-mechanical loadings using DQM", Compos. Struct., 138, 361-380. crossref(new window)

19.
Narendar, S., Gupta, S.S. and Gopalakrishnan, S. (2012), "Wave propagation in single-walled carbon nanotube under longitudinal magnetic field using nonlocal Euler-Bernoulli beam theory", Appl. Math. Model., 36, 4529-4538. crossref(new window)

20.
Putcha, N.S. and Refined, A. (1986), "Mixed shear flexible finite element for the nonlinear analysis of laminated plates",Comput. Struct., 22, 529-538. crossref(new window)

21.
Rahmati, A.H. and Mohammadimehr, M. (2014), "Vibration analysis of non-uniform and non-homogeneous boron nitride nanorods embedded in an elastic medium under combined loadings using DQM", Physica B., 440, 88-98. crossref(new window)

22.
Ranjan, R. (2011), "Nonlinear finite element analysis of bending of straight beams using hp-spectral approximations", J. Solid. Mech., 3, 96-113.

23.
Reddy, J.N. (1987),"Mixed finite element models for laminated composite plate", J. Eng. Indus., 109, 39-45. crossref(new window)

24.
Reddy, J.N. (2004), An Introduction to nonlinear finite element analysis, Oxford University Press, Oxford, New York, USA.

25.
Simsek, M. (2014), "Nonlinear static and free vibration analysis of microbeams based on the nonlinear elastic foundation using modified couple stress theory and He's variational method", Compos. Struct., 12, 264-272.

26.
Wang, B., Deng, Z., Ouyang, H. and Zhou, J. (2015), "Wave propagation analysis in nonlinear curved single-walled carbon nanotubes based on nonlocal elasticity theory", Physica. E., 66, 283-292. crossref(new window)

27.
Wang, B., Deng, Z.C. and Zhang, K. (2013), "Nonlinear vibration of embedded single walled carbon nanotube with geometrical imperfection under harmonic load based on nonlocal Timoshenko beam theory", Appl. Math. Mech., Engl. Ed. (English Edition), 34(3), 269-280. crossref(new window)

28.
Yas, M.H. and Heshmati, M. (2012), "Dynamic analysis of functionally graded nanocomposite beams reinforced by randomly oriented carbon nanotube under the action of moving load", Appl. Math. Model., 36, 1371-1394. crossref(new window)

29.
Yas, M.H. and Samadi, N. (2012), "Free vibrations and buckling analysis of carbon nanotube-reinforced composite Timoshenko beams on elastic foundation", Int. J. Press. Ves. Pip., 98, 119-128. crossref(new window)