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http://dx.doi.org/10.12989/aas.2020.7.4.291

Effect of dynamic absorber on the nonlinear vibration of SFG cylindrical shell  

Foroutan, Kamran (Faculty of Mechanical Engineering, Shahrood University of Technology)
Ahmadi, Habib (Faculty of Mechanical Engineering, Shahrood University of Technology)
Publication Information
Advances in aircraft and spacecraft science / v.7, no.4, 2020 , pp. 291-308 More about this Journal
Abstract
In this paper, a numerical method is utilized to study the effect of a new vibration absorber on vibration response of the stiffened functionally graded (SFG) cylindrical shell under a couple of axial and transverse compressions. The material composition of the stiffeners and shell is continuously changed through the thickness. The vibration absorber consists of a mass-spring-damper system which is connected to the ground utilizing a linear local damper. To simplify, the spring element of the vibration absorber is called global potential. The von Kármán strain-displacement kinematic nonlinearity is employed in the constitutive laws of the shell and stiffeners. To consider the stiffeners in the model, the smeared stiffener technique is used. After obtaining the governing equations, the Galerkin method is applied to discretize the nonlinear dynamic equation of system. In order to find the nonlinear vibration responses, the fourth order Runge-Kutta method is utilized. The influence of the stiffeners, the dynamic absorber parameters on the vibration behavior of the SFG cylindrical shell is investigated. Also, the influences of material parameters of the system on the vibration response are examined.
Keywords
SFG cylindrical shell; dynamic absorber; nonlinear vibration response; compression loading;
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Times Cited By KSCI : 11  (Citation Analysis)
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1 Wang, Y.Q. (2018), "Electro-mechanical vibration analysis of functionally graded piezoelectric porous plates in the translation state", Acta Astronaut., 143, 263-271. https://doi.org/10.1016/j.actaastro.2017.12.004.   DOI
2 Wang, Y.Q. and Yang, Z. (2017), "Nonlinear vibrations of moving functionally graded plates containing porosities and contacting with liquid: internal resonance", Nonlinear Dynam., 90(2), 1461-1480. https://doi.org/10.1007/s11071-017-3739-z.   DOI
3 Wang, Y.Q. and Zu, J.W. (2017a), "Vibration behaviors of functionally graded rectangular plates with porosities and moving in thermal environment", Aerosp. Sci. Technol., 69, 550-562. https://doi.org/10.1016/j.ast.2017.07.023.   DOI
4 Wang, Y.Q. and Zu, J.W. (2017b), "Nonlinear steady-state responses of longitudinally traveling functionally graded material plates in contact with liquid", Compos. Struct., 164, 130-144. https://doi.org/10.1016/j.compstruct.2016.12.053.   DOI
5 Bich, D.H., Nam, V.H. and Phuong, N.T. (2011), "Nonlinear postbuckling of eccentrically stiffened functionally graded plates and shallow shells", Vietnam J. Mech., 33(3), 131-147. https://doi.org/10.15625/0866-7136/33/3/207.   DOI
6 Bich, D.H., Van Dung, D. and Nam, V.H. (2012), "Nonlinear dynamical analysis of eccentrically stiffened functionally graded cylindrical panels", Compos. Struct., 94(8), 2465-2473. https://doi.org/10.1016/j.compstruct.2012.03.012.   DOI
7 Shaterzadeh, A., Foroutan, K. and Ahmadi, H. (2019), "Nonlinear static and dynamic thermal buckling analysis of spiral stiffened functionally graded cylindrical shells with elastic foundation", Int. J. Appl. Mech., 11(1), 1950005. https://doi.org/10.1142/S1758825119500054.   DOI
8 Sayyad, A.S. and Ghugal, Y.M. (2018), "An inverse hyperbolic theory for FG beams resting on Winkler-Pasternak elastic foundation", Adv. Aircraft Spacecraft Sci., 5(6), 671-689. https://doi.org/10.12989/aas.2018.5.6.671.   DOI
9 Sewall, J.L. and Naumann, E.C. (1968), "An experimental and analytical vibration study of thin cylindrical shells with and without longitudinal stiffeners", NASA TN D-4705, National Aeronautics and Space Administration.
10 Sewall, J.L., Clary, R.R. and Leadbetter, S.A. (1964), "An experimental and analytical vibration study of a ring-stiffened cylindrical shell structure with various support conditions", NASA TN D-2398, National Aeronautics and Space Administration.
11 Shegokara, N.L. and Lal, A. (2016), "Stochastic dynamic instability response of piezoelectric functionally graded beams supported by elastic foundation", Adv. Aircraft Spacecraft Sci., 3(4), 471-502. https://doi.org/10.12989/aas.2016.4.3.471.   DOI
12 Sofiyev, A. and Schnack, E. (2004), "The stability of functionally graded cylindrical shells under linearly increasing dynamic torsional loading", Eng. Struct., 26(10), 1321-1331. https://doi.org/10.1016/j.engstruct.2004.03.016.   DOI
13 Foroutan, K., Shaterzadeh, A. and Ahmadi, H. (2018), "Nonlinear dynamic analysis of spiral stiffened functionally graded cylindrical shells with damping and nonlinear elastic foundation under axial compression", Struct. Eng. Mech., 66(3), 295-303. https://doi.org/10.12989/sem.2018.66.3.295.   DOI
14 Bich, D.H., Van Dung, D., Nam, V.H. and Phuong, N.T. (2013), "Nonlinear static and dynamic buckling analysis of imperfect eccentrically stiffened functionally graded circular cylindrical thin shells under axial compression", Int. J. Mech. Sci., 74, 190-200. https://doi.org/10.1016/j.ijmecsci.2013.06.002.   DOI
15 Duc, N.D. and Thang, P.T. (2015), "Nonlinear dynamic response and vibration of shear deformable imperfect eccentrically stiffened S-FGM circular cylindrical shells surrounded on elastic foundations", Aerosp. Sci. Technol., 40, 115-127. https://doi.org/10.1016/j.ast.2014.11.005.   DOI
16 Ebrahimi, F. and Heidari, E. (2018), "Surface effects on nonlinear vibration and buckling analysis of embedded FG nanoplates via refined HOSDPT in hygrothermal environment considering physical neutral surface position", Adv. Aircraft Spacecraft Sci., 5(6), 691-729. https://doi.org/10.12989/aas.2018.5.6.691.   DOI
17 Foroutan, K., Shaterzadeh, A. and Ahmadi, H. (2019), "Nonlinear dynamic analysis of spiral stiffened cylindrical shells rested on elastic foundation", Steel Compos. Struct., 32(4), 509-519. https://doi.org/10.12989/scs.2019.32.4.509.   DOI
18 Foroutan, K., Shaterzadeh, A. and Ahmadi, H. (2020), "Nonlinear static and dynamic hygrothermal buckling analysis of imperfect functionally graded porous cylindrical shells", Appl. Math. Model., 77, 539-553. https://doi.org/10.1016/j.apm.2019.07.062.   DOI
19 Goncalves, P.B. and Del Prado, Z.J. (2005), "Low-dimensional Galerkin models for nonlinear vibration and instability analysis of cylindrical shells", Nonlinear Dynam., 41(1-3), 129-145. https://doi.org/10.1007/s11071-005-2802-3.   DOI
20 Hong, C. (2014), "Rapid heating induced vibration of circular cylindrical shells with magnetostrictive functionally graded material", Arch. Civ. Mech. Eng., 14(4), 710-720. http://doi.org/10.1016/j.acme.2013.10.012.   DOI
21 Huang, H. and Han, Q. (2010), "Nonlinear dynamic buckling of functionally graded cylindrical shells subjected to time-dependent axial load", Compos. Struct., 92(2), 593-598 https://doi.org/10.1016/j.compstruct.2009.09.011.   DOI
22 Huang, Y. and Fuller, C. (1997), "The effects of dynamic absorbers on the forced vibration of a cylindrical shell and its coupled interior sound field", J. Sound Vib., 200(4), 401-418. https://doi.org/10.1006/jsvi.1996.0708.   DOI
23 Huang, Y.M. and Chen, C.C. (2000), "Optimal design of dynamic absorbers on vibration and noise control of the fuselage", Comput. Struct., 76(6), 691-702. https://doi.org/10.1016/S0045-7949(99)00190-X.   DOI
24 Meng, H., Han, Z.J. and Lu, G.Y. (2016), "Non-axisymmetric dynamic buckling of Cylindrical Shells under Axial Step Load", Adv. Mater. Sci. Eng., 157-163. https://doi.org/10.1142/9789813141612_0021.
25 Ng, T., Lam, K., Liew, K. and Reddy, J. (2001), "Dynamic stability analysis of functionally graded cylindrical shells under periodic axial loading", Int. J. Solids Struct., 38(8), 1295-1309. https://doi.org/10.1016/S0020-7683(00)00090-1.   DOI
26 Pandy, M.G. and Koss, L. (1984), "Admittance-matched structures for the reduction of noise in tank making operations", J. Sound Vib., 95(2), 261-279. https://doi.org/10.1016/0022-460X(84)90547-9.   DOI
27 Pellicano, F. (2007), "Vibrations of circular cylindrical shells: Theory and experiments", J. Sound Vib., 303(1-2), 154-170. https://doi.org/10.1016/j.jsv.2007.01.022.   DOI
28 Wang, Y.Q., Huang, X.B. and Li, J. (2016), "Hydroelastic dynamic analysis of axially moving plates in continuous hot-dip galvanizing process", Int. J. Mech. Sci., 110, 201-216. https://doi.org/10.1016/j.ijmecsci.2016.03.010.   DOI
29 Sofiyev, A.H. (2004), "The stability of functionally graded truncated conical shells subjected to aperiodic impulsive loading", Int. J. Solids Struct., 41(13), 3411-3424. https://doi.org/10.1016/j.ijsolstr.2004.02.003.   DOI
30 Sofiyev, A.H. (2009), "The vibration and stability behavior of freely supported FGM conical shells subjected to external pressure", Compos. Struct., 89(3), 356-366. https://doi.org/10.1016/j.compstruct.2008.08.010.   DOI
31 Wang, Y.Q., Liang, L. and Guo, X.H. (2013), "Internal resonance of axially moving laminated circular cylindrical shells", J. Sound Vib., 332(24), 6434-6450. https://doi.org/10.1016/j.jsv.2013.07.007.   DOI
32 Wang, Y.Q., Wan, Y.H. and Zu, J.W. (2019a), "Nonlinear dynamic characteristics of functionally graded sandwich thin nanoshells conveying fluid incorporating surface stress influence", Thin Wall. Struct., 135, 537-547. https://doi.org/10.1016/j.tws.2018.11.023.   DOI
33 Wang, Y., Ye, C. and Zu, J.W. (2018), "Identifying the temperature effect on the vibrations of functionally graded cylindrical shells with porosities", Appl. Math. Mech., 39(11), 1587-1604. https://doi.org/10.1007/s10483-018-2388-6.   DOI
34 Qin, Z., Chu, F. and Zu, J. (2017), "Free vibrations of cylindrical shells with arbitrary boundary conditions: A comparison study", Int. J. Mech. Sci., 133, 91-99. https://doi.org/10.1016/j.ijmecsci.2017.08.012.   DOI
35 Wang, Y.Q., Ye, C. and Zu, J.W. (2019b), "Nonlinear vibration of metal foam cylindrical shells reinforced with graphene platelets", Aerosp. Sci. Technol., 85, 359-370. https://doi.org/10.1016/j.ast.2018.12.022.   DOI
36 Wang, Y.Q., Ye, C. and Zu, J.W. (2019c), "Vibration analysis of circular cylindrical shells made of metal foams under various boundary conditions", Int. J. Mech. Mater. Des., 15(2), 333-344. https://doi.org/10.1007/s10999-018-9415-8.   DOI
37 Zenkour, A.M. and Aljadani, M.H. (2018), "Mechanical buckling of functionally graded plates using a refined higher-order shear and normal deformation plate theory", Adv. Aircraft Spacecraft Sci., 5(6), 615-632. https://doi.org/10.12989/aas.2018.5.6.615.   DOI
38 Turco, E. and Gardonio, P. (2017), "Sweeping shunted electro-magnetic tuneable vibration absorber: Design and implementation", J. Sound Vib., 407, 82-105. https://doi.org/10.1016/j.jsv.2017.06.035.   DOI
39 Van Dung, D. and Nam, V.H. (2014), "Nonlinear dynamic analysis of eccentrically stiffened functionally graded circular cylindrical thin shells under external pressure and surrounded by an elastic medium", Eur. J. Mech. A Solid., 46, 42-53. https://doi.org/10.1016/j.euromechsol.2014.02.008.   DOI
40 Volmir, A.S. (1972), Non-linear Dynamics of Plates and Shells, AS Science Edition M, USSR.
41 Wang, Y.Q. (2014), "Nonlinear vibration of a rotating laminated composite circular cylindrical shell: traveling wave vibration", Nonlinear Dynam., 77(4), 1693-1707. https://doi.org/10.1007/s11071-014-1410-5.   DOI