Browse > Article
http://dx.doi.org/10.12989/scs.2017.25.2.141

Damping and vibration analysis of viscoelastic curved microbeam reinforced with FG-CNTs resting on viscoelastic medium using strain gradient theory and DQM  

Allahkarami, Farshid (Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University)
Nikkhah-Bahrami, Mansour (Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University)
Saryazdi, Maryam Ghassabzadeh (Vehicle Technology Research Institute, Amirkabir University of Technology)
Publication Information
Steel and Composite Structures / v.25, no.2, 2017 , pp. 141-155 More about this Journal
Abstract
This paper presents an investigation into the magneto-thermo-mechanical vibration and damping of a viscoelastic functionally graded-carbon nanotubes (FG-CNTs)-reinforced curved microbeam based on Timoshenko beam and strain gradient theories. The structure is surrounded by a viscoelastic medium which is simulated with spring, damper and shear elements. The effective temperature-dependent material properties of the CNTs-reinforced composite beam are obtained using the extended rule of mixture. The structure is assumed to be subjected to a longitudinal magnetic field. The governing equations of motion are derived using Hamilton's principle and solved by employing differential quadrature method (DQM). The effect of various parameter like volume percent and distribution type of CNTs, temperature change, magnetic field, boundary conditions, material length scale parameter, central angle, viscoelastic medium and structural damping on the vibration and damping behaviors of the nanocomposite curved microbeam is examined. The results show that with increasing volume percent of CNTs and considering magnetic field, material length scale parameter and viscoelastic medium, the frequency of the system increases and critically damped situation occurs at higher values of damper constant. In addition, the structure with FGX distribution type of CNTs has the highest stiffness. It is also observed that increasing temperature, structural damping and central angle of curved microbeam decreases the frequency of the system.
Keywords
vibration analysis; FG-CNTs-reinforced composite; curved microbeam; Timoshenko beam; strain gradient theory; magnetic field; viscoelastic medium;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
연도 인용수 순위
1 Abdollahi, D., Ahdiaghdam, S., Ivaz, K. and Shabani, R. (2016), "A theoretical study for the vibration of a cantilever microbeam as a free boundary problem", Appl. Math. Model., 40(3), 1836-1846.   DOI
2 Ahouel, M., Houari, M.S.A., Adda Bedia, E.A. and Tounsi, A. (2016), "Size-dependent mechanical behavior of functionally graded trigonometric shear deformable nanobeams including neutral surface position concept", Steel Compos. Struct., Int. J., 20(5), 963-981.   DOI
3 Ansari, R., Gholami, R. and Sahmani, S. (2011), "Free vibration analysis of size-dependent functionally graded microbeams based on the strain gradient Timoshenko beam theory", Compos. Struct., 94(1), 221-228.   DOI
4 Chen, X. and Meguid, S.A. (2015), "On the parameters which govern the symmetric snap-through buckling behavior of an initially curved microbeam", Int. J. Solids Struct., 66, 77-87.   DOI
5 Ghayesh, M.H., Farokhi, H. and Hussain, S.H. (2016), "Viscoelastically coupled size-dependent dynamics of microbeams", Int. J. Eng. Sci., 109, 243-255.   DOI
6 Dehrouyeh-Semnani, A.M., Dehrouyeh, M., Torabi-Kafshgari, M. and Nikkhah-Bahrami, M. (2015), "An investigation into sizedependent vibration damping characteristics of functionally graded viscoelastically damped sandwich microbeams", Int. J. Eng. Sci., 96, 68-85.   DOI
7 Ebrahimi, F. and Salari, E. (2015), "Thermal buckling and free vibration analysis of size dependent Timoshenko FG nanobeam in thermal environments", Compos. Struct., 128, 363-380.   DOI
8 Ghadiri, M. and Shafiei, N. (2016), "Vibration analysis of rotating functionally graded Timoshenko microbeam based on modified couple stress theory under different temperature distributions", Acta Astronaut., 121, 221-240.   DOI
9 Ghayesh, M.H., Farokhi, H. and Gholipour, A. (2017), "Vibration analysis of geometrically imperfect three-layered sheardeformable microbeams", Int. J. Mech. Sci., 122, 370-383.   DOI
10 Ilkhani, M.R. and Hosseini-Hashemi, S.H. (2016), "Size dependent vibro-buckling of rotating beam based on modified couple stress theory", Compos. Struct., 143, 75-83.   DOI
11 Jia, X.L., Ke, L.L., Feng, C.B., Yang, J. and Kitipornchai, S. (2015), "Size effect on the free vibration of geometrically nonlinear functionally graded micro-beam under electrical actuation and temperature change", Compos. Struct., 133, 1137-1148.   DOI
12 Lam, D.C.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.   DOI
13 Kolahch, R. and Moniribidgoli, A.M. (2016), "Size-dependent sinusoidal beam model for dynamic instability of single-walled carbon nanotubes", Appl. Math. Mech. - Engl Ed., 372, 265-274.
14 Kolahchi, R., Rabani Bidgoli, M., Beygipoor, Gh. and Fakhar, M.H. (2015), "A nonlocal nonlinear analysis for buckling in embedded FG-SWCNT-reinforced microplates subjected to magnetic field", J. Mech. Sci. Tech., 29, 3669-3677 .   DOI
15 Kolahchi, R., Hosseini, H. and Esmailpour, M. (2016a), "Differential cubature and quadrature-Bolotin methods for dynamic stability of embedded piezoelectric nanoplates based on visco-nonlocal-piezoelasticity theories", Compos. Struct., 157, 174-186.   DOI
16 Kolahchi, R., Safari, M. and Esmailpour, M. (2016b), "Dynamic stability analysis of temperature-dependent functionally graded CNT-reinforced visco-plates resting on orthotropic elastomeric medium", Compos. Struct., 150, 255-265.   DOI
17 Kolahchi, R., Zarei, M.Sh., Hajmohammad, M.H. and Naddaf Oskouei, A. (2017), "Visco-nonlocal-refined Zigzag theories for dynamic buckling of laminated nanoplates using differential cubature-Bolotin methods", Thin-Wall Struct., 113, 162-169.   DOI
18 Liu, Y.P. and Reddy, J.N. (2011), "A nonlocal curved beam model based on a modified couple stress theory", Int. J. Struct. Stab. Dyn., 11(3), 495-512.
19 Shafiei, N., Mousavi, A. and Ghadiri, M. (2016), "Vibration behavior of a rotating non-uniform FG microbeam based on the modified couple stress theory an GDQEM", Compos. Struct. 149, 157-169.   DOI
20 Shen, H.Sh. and Zhang, Ch.L. (2011), "Nonlocal beam model for nonlinear analysis of carbon nanotubes on elastomeric substrates", Comput. Mat. Sci., 50(3), 1022-1029.   DOI
21 Wang, L., Xu, Y.Y. and Ni, Q. (2013), "Size-dependent vibration analysis of three-dimensional cylindrical microbeams based on modified couple stress theory: A unified trestment", Int. J. Eng. Sci., 68, 1-10.   DOI
22 Simsek, M. (2011), "Forced vibration of an embedded singlewalled carbon nanotube traversed by a moving load using nonlocal Timoshenko beam theory", Steel Compos. Struct., Int. J., 11(1), 59-76.   DOI
23 Simsek, M. (2014), "Large amplitude free vibration of nanobeams with various boundary conditions based on the nonlocal elasticity theory", Compos. Part B: Eng., 56, 621-628.   DOI
24 Simsek, M. (2015), "Size dependent nonlinear free vibration of an axially functionally graded AFG microbeam using He's variational method", Compos. Struct., 131, 207-214.   DOI
25 Tang, M., Ni, Q., Wnag, L., Luo, Y. and Wang, Y. (2014), "Sizedependent vibration analysis of a microbeam in flow based on modified couple stress theory", Int. J. Eng. Sci., 85, 20-30.   DOI
26 Togun, N. and Bagdatli, S.M. (2016), "Size dependent nonlinear vibration of the tensioned nanobeam based on the modified couple stress theory", Compos. Part B: Eng., 97, 255-262.   DOI
27 Wang, L., Liu, W.B. and Dai, H.L. (2015), "Dynamics and instability of current-carrying microbeams in a longitudinal magnetic field", Physica E, 66, 87-92.   DOI
28 Yang, W.D., Fang, C.Q. and Wang, X. (2017), "Nonlinear dynamic characteristics of FGCNTs reinforced microbeam with piezoelectric layer based on unifying stress-strain gradient", Compos. Part B: Eng., 111, 372-386.   DOI
29 Zamanian, M. and Karimiyan, A. (2015), "Analysis of the mechanical behavior of a doubled microbeam configuration under electrostatic actuation", Int. J. Mech. Sci., 93, 82-92.   DOI
30 Zenkour, A.M. and Abouelregal, A.E. (2016), "Thermoelastic interaction in functionally graded nanobeams subjected to timedependent heat flux", Steel Compos. Struct., Int. J., 18(4), 909-924.
31 Zhang, L.W., Lei, Z.X. and Liew, K.M. (2015), "Free vibration analysis of functionally graded carbon nanotube-reinforced composite triangular plates using the FSDT and element-free IMLS-Ritz method", Compos. Struct., 120, 189-199.   DOI