Electro-magnetic potential effects on free vibration of rotating circular cylindrical shells of functionally graded materials with laminated composite core and piezo electro-magnetic two face sheets
Restricted accessResearch articleFirst published online October, 2021
Electro-magnetic potential effects on free vibration of rotating circular cylindrical shells of functionally graded materials with laminated composite core and piezo electro-magnetic two face sheets
In this study, the effect of electric and magnetic potential on the free vibration of rotating circular cylindrical shell of functionally graded piezo electromagnetic composed with fiber reinforced polymers has been investigated. The laminated fiber reinforced polymer is in the core and is supported with the functionally graded material layer on the both sides, and two piezoelectric layers are mounted on the outside and inside of the cylindrical shells. Relationships between strain and displacement are expressed based on Love’s first approximation shell theory. Then according to Hamilton’s principle, the governing equations for the cylindrical shell are extracted. Also, the Navier’s solution is used to solve the equations of the cylindrical shell for the simply–simply supported boundary conditions. The numerical results of the analytical solution for the rotating functionally graded piezoelectric–fiber reinforced polymer cylindrical shells based on the effect of magnetic and electric potential, axial and circumferential wave number and speed rotation are obtained. These results are compared with other research and demonstrated a good agreement.
Lam KY and Loy CT. Influence of boundary conditions for a thin laminated rotating cylindrical shell. Compos Struct 1998; 41: 215-228.
2.
LoyCTLamKYReddyJN.Vibration of functionally graded cylindrical shells. Int J Mech Sci1999; 41: 309–324.
3.
ChenCQShenYPWangXM.Exact solution of orthotropic cylindrical shell with piezoelectric layers under cylindrical bending. Int J Solids Struct1996; 33: 4481–l494.
BuchananGR.Free vibration of an infinite magneto-electro-elastic cylinder. J Sound Vib2003; 268: 413–426.
6.
VelSSBaillargeonBP.Analysis of static deformation vibration and active damping of cylindrical composite shells with piezoelectric shear actuators. J Vib Acoust2005; 127: 305–407.
ShengGGWangX.Active control of functionally graded laminated cylindrical shells. Compos Struct2009; 90: 448–457.
9.
ShengGGWangX.Thermoelastic vibration and buckling analysis of functionally graded piezoelectric cylindrical shells. Appl Math Model2010; 34: 2630–2643.
10.
AlibeiglooAKaniAMPashaeiMH.Elasticity solution for the free vibration analysis of functionally graded cylindrical shell bonded to thin piezoelectric layers. Int J Pressure Vessel Piping2012; 89: 98–111.
Mohandes M, Ghasemi AR, Irani-Rahagi M, et al. Development of beam modal function for free vibration analysis of FML circular cylindrical shells. J Vib Control 2018; 24(14): 3026–3035.
17.
Ghasemi AR and Mohandes M. Free vibration analysis of micro and nano fiber metal laminates circular cylindrical shells based on modified couple stress theory. Mech Adv Mater Struct 2020; 27:43–54.
18.
Qin Z, Yang Z, Zu J and Chu F. Free vibration analysis of rotating cylindrical shells coupled with moderately thick annular plates. Int J Mech Sci 2018; 142-143: 127–139.
19.
QinZPangXSafaeiB, et al.Free vibration analysis of rotating functionally graded CNT reinforced composite cylindrical shells with arbitrary boundary conditions. Compos Struct2019; 220: 847–860.
20.
Loy CT and Lam KY. Vibrations of rotating thin cylindrical panels. Appl Acoust 1995;46: 327–343.
21.
PradhanSCLoyCTLamKY, et al. Vibration characteristics of functionally graded cylindrical shells under various boundary conditions. Appl Acoust2000; 61: 111–129.
22.
Lam KY, Loy CT. Influence of boundary conditions and fibre orientation on the natural frequencies of thin orthotropic laminated cylindrical shells. Compos struct 1995; 31: 2 l–30.
23.
GhasemiARMeskiniM. Investigations on dynamic analysis and free vibration of FGMs rotating circular cylindrical shells. SN Appl Sci. Epub ahead of print 4 March 2019. DOI: 10.1007/s42452-019-0299-5.
24.
TornabeneF.On the critical speed evaluation of arbitrarily oriented rotating doubly curved shells made of functionally graded materials. Thin Wall Struct2019; 140: 85–98.
25.
LangZXuewuL.Buckling and vibration analysis of functionally graded magneto-electro-thermo-elastic circular cylindrical shells. Appl Math Model2013; 37: 2279–2292.
26.
WuCPTsaiYH.Static behavior of functionally graded magneto-electric-elastic shells under electric displacement and magnetic flux. Int J Eng Sci2007; 45: 744–769.
27.
FernandesAPougetJ.Structural response of composite plates equipped with piezoelectric actuators. Comput Struct2006; 84: 1459–1470.
28.
HabibiMHashemabadiDSafarpourH.Vibration analysis of a high-speed rotating GPLRC nanostructure coupled with a piezoelectric actuator. Eur Phys J Plus2019; 134: 307
29.
ReddyJN. (2004) Mechanics of laminated composite plates and shells. 2nd ed. London: CRC Press.
30.
Ungbhakorn V and Wattanasakulpong N., Thermo-elastic vibration analysis of third-order shear deformable functionally graded plates with distributed patch mass under thermal environment. Appl Acoust2013; 74: 1045–1059.
31.
LiXLiYHXieTF.Vibration characteristics of a rotating composite laminated cylindrical shell in subsonic air flow and hygrothermal environment. Int J Mech Sci2019; 150: 356–368.
32.
SunSCaoDHanQ.Vibration studies of rotating cylindrical shells with arbitrary edges using characteristic orthogonal polynomials in the Rayleigh–Ritz method. Int J Mech Sci2013; 68: 180–189.
CarestaMKessissoglouNJ.Purely axial vibration of thin cylindrical shells with shear-diaphragm boundary conditions. Appl Acoust2009; 70: 1081–1086.
35.
BenachourATaharHDAtmaneHA, et al. A four variable refined plate theory for free vibrations of functionally graded plates with arbitrary gradient. Compos Part B2011; 42: 1386–1394.
