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http://dx.doi.org/10.12989/sem.2010.34.4.449

Steady-state response and free vibration of an embedded imperfect smart functionally graded hollow cylinder filled with compressible fluid  

Bian, Z.G. (Department of Civil Engineering, Ningbo Institute of Technology, Zhejiang University)
Chen, W.Q. (Institute of Applied Mechanics, Zhejiang University)
Zhao, J. (Quzhou Highway Management Department)
Publication Information
Structural Engineering and Mechanics / v.34, no.4, 2010 , pp. 449-474 More about this Journal
Abstract
A smart hollow cylinder consisting of a host functionally graded elastic core layer and two surface homogeneous piezoelectric layers is presented in this paper. The bonding between the layers can be perfect or imperfect, depending on the parameters taken in the general linear spring-layer interface model. The effect of such weak interfaces on free vibration and steady-state response is then investigated. Piezoelectric layers at inner and outer surfaces are polarized axially or radially and act as a sensor and an actuator respectively. For a simply supported condition, the state equations with non-constant coefficients are obtained directly from the formulations of elasticity/piezoelasticity. An approximate laminated model is then introduced for the sake of solving the state equations conveniently. It is further assumed that the hollow cylinder is embedded in an elastic medium and is simultaneously filled with compressible fluid. The interaction between the structure and its surrounding media is taken into account. Numerical examples are finally given with discussions on the effect of some related parameters.
Keywords
free vibration; steady-state response; smart cylinder; interaction; imperfect interfaces; spring-layer model; state space approach;
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1 Cheng, Z.Q., Jemah, A.K. and Williams, F.W. (1996), "Theory of multilayered anisotropic plates with weakened interfaces", J. Appl. Mech., 63, 1019-1026.   DOI   ScienceOn
2 Ling, Y.H., Li, J.T., Ge, C.C. and Bai, X.D. (2002), "Fabrication and evaluation of SiC/Cu functionally graded material used for plasma facing components in a fusion reactor", J. Nucl. Mater., 303, 188-195.   DOI   ScienceOn
3 Ray, M.C. and Reddy, J.N. (2005), "Active control of laminated cylindrical shells using piezoelectric fiber reinforced composites", Compos. Sci. Tech., 65, 1226-1236.   DOI   ScienceOn
4 Ray, M.C. and Sachade, H.M. (2006), "Finite element analysis of smart functionally graded plates", Int. J. Solid. Struct., 43, 5468-5484.   DOI   ScienceOn
5 Reddy, J.N. and Cheng, Z.Q. (2001), "Three-dimensional solutions of smart functionally graded plates", J. Appl. Mech., 68, 234-241.   DOI   ScienceOn
6 Librescu, L. and Schmidt, R. (2001), "A general linear theory of laminated composite shells featuring interlaminar bonding imperfections", Int. J. Solid. Struct., 38, 3355-3375.   DOI   ScienceOn
7 Pompe, W., Worch, H., Epple, M., Friess, W., Gelinsky, M., Greil, P., Hempel, U., Scharnweber, D. and Schulte, K. (2003), "Functionally graded materials for biomedical applications", Mater. Sci. Eng., 362, 40-60.   DOI   ScienceOn
8 Qu, J.M. (1993a), "Eshelby tensor for an elastic inclusion with slightly weakened interfaces", J. Appl. Mech., 60, 1048-1050.   DOI   ScienceOn
9 Junger, M.C. and Feit, D. (1993), Sound Structures, and Their Interaction, Acoustical Society of America, Woodbury, USA.
10 Kapuria, S., Bhattacharyya, M. and Kumar, A.N. (2006), "Assessment of coupled 1D models for hybrid piezoelectric layered functionally graded beams", Compos. Struct., 72, 455-468.   DOI   ScienceOn
11 He, L.H. and Lim, C.W. (2003), "Electromechanical responses of piezoelectric fiber composites with sliding interface under anti-plane deformations", Compos. Part B-Eng., 34, 373-381.   DOI   ScienceOn
12 Huang, X.L. and Shen, H.S. (2006), "Vibration and dynamic response of functionally graded plates with piezoelectric actuators in thermal environments", J. Sound Vib., 289, 25-53.   DOI   ScienceOn
13 Hashin, Z. (1990), "Thermoelastic properties of fibre composites with imperfect interface", Mech. Mater., 8, 333-348.
14 Aboudi, J. (1987), "Damage in composites-modeling of imperfect bonding", Compos. Sci. Technol., 28, 103-128.   DOI   ScienceOn
15 Benveniste, Y. (1985), "The effective mechanical behaviour of composite materials with imperfect contact between the constituents", Mech. Mater., 4, 197-208.   DOI   ScienceOn
16 Bian, Z.G., Ying, J., Chen, W.Q. and Ding, H.J. (2006a), "Bending and free vibration analysis of a smart functionally graded plate", Struct. Eng. Mech., 23, 97-113.   DOI
17 Bian, Z.G., Lim, C.W. and Chen, W.Q. (2006b), "On functionally graded beams with integrated surface piezoelectric layers", Compos. Struct., 72, 339-351.   DOI   ScienceOn
18 Mahmoud, N.A. (2003), "Reduction of thermal stresses by developing two-dimensional functionally graded materials", Int. J. Solid. Struct., 40, 7339-7356.   DOI   ScienceOn
19 Rokhlin, S.I., Wang, L., Xie, B., Yakovlev, V.A. and Adler, L. (2004), "Modulated angle beam ultrasonic spectroscopy for evaluation of imperfect interfaces and adhesive bonds", Ultrasonics, 42, 1037-1047.   DOI   ScienceOn
20 Lipton, R. (2001), "Effect of interfacial bonding on fiber reinforced shafts subject to antiplane shear", Int. J. Solid. Struct., 38, 369-387.   DOI   ScienceOn
21 Moore, I.D. (2001), "Buried pipes and culverts", Geotech. Geoenviron. Eng. Handb., 18, 541-567.
22 Pagano, N.J. and Tandon, G.P. (1990), "Modeling of imperfect bonding in fiber reinforced brittle matrix composites", Mech. Mater., 9, 49-64.   DOI   ScienceOn
23 Chen, W.Q., Cai, J.B. and Ye, G.R. (2003), "Exact solutions of cross-ply laminate with bonding imperfections", AIAA J., 41, 2244-2250.   DOI   ScienceOn
24 Ding, H.J. and Chen, W.Q. (2001), Three Dimensional Problems of Piezoelasticity, Nova Science Publishers, New York, USA.
25 Chen, W.Q., Wang, Y.F., Cai, J.B. and Ye, G.R. (2004c), "Three-dimensional analysis of cross-ply laminated cylindrical panels with weak interfaces", Int. J. Solid. Struct., 41, 2429-2446.   DOI   ScienceOn
26 Chen, W.Q., Jung, J.P. and Lee, K.Y. (2006), "Static and dynamic behavior of simply-supported cross-ply laminated piezoelectric cylindrical panels with imperfect bonding", Compos. Struct., 74, 265-276.   DOI   ScienceOn
27 Chen, W.Q. and Lee, K.Y. (2004), "Three-dimensional exact analysis of angle-ply laminates in cylindrical bending with interfacial damage via state space method", Compos. Struct., 64, 275-283.   DOI   ScienceOn
28 Chen, W.Q., Ying, J., Cai, J.B. and Ye, G.R. (2004b), "Benchmark solution of laminated beams with bonding imperfections", AIAA J., 42, 426-429.   DOI   ScienceOn
29 Botta, F. and Cerri, G. (2007), "Wave propagation in Reissner-Mindlin piezoelectric coupled cylinder with nonconstant electric field through the thickness", Int. J. Solid. Struct., 44, 6201-6219.   DOI   ScienceOn
30 Chen, W.Q., Bian, Z.G., Lv, C.F. and Ding, H.J. (2004a), "3D free vibration analysis of a functionally graded piezoelectric hollow cylinder filled with compressible fluid", Int. J. Solid. Struct., 41, 947-964.   DOI   ScienceOn
31 Achenbach, J.D. and Zhu, H. (1989), "Effect of interracial zone on mechanical behaviour and failure of fibrereinforced composites", J. Mech. Phys. Solids, 37, 381-393.   DOI   ScienceOn
32 Gorokhovskya, V., Bowmana, C., Gannona, P., VanVorousa, D., Voevodinb, A.A., Rutkowskib, A., Muratorec, C., Smithd, R.J., Kayanid, A., Gellese, D., Shutthanandane, V. and Trusov, B.G. (2006), "Tribological performance of hybrid filtered arc-magnetron coatings: Part I: Coating deposition process and basic coating properties characterization", Surf. Coat. Tech., 201, 3732-3747.   DOI   ScienceOn
33 Hashin, Z. (1991a), "Thermoelastic properties of particulate composites with imperfect interface", J. Mech. Phys. Solids, 39, 745-762.   DOI   ScienceOn
34 Hashin, Z. (1991b), "The Spherical inclusion with imperfect interface", J. Appl. Mech., 58, 444-449.   DOI
35 Haddadpour, H., Mahmoudkhani, S. and Navazi, H.M. (2007), "Free vibration analysis of functionally graded cylindrical shells including thermal effects", Thin Wall. Struct., 45, 591-599.   DOI   ScienceOn
36 Gorokhovsky, V., Bowman, C., Gannon, P., VanVorous, D., Voevodin, A.A. and Rutkowski, A. (2007), "Tribological performance of hybrid filtered arc-magnetron coatings Part II: Tribological properties characterization", Surf. Coat. Tech., 201, 6228-6238.   DOI   ScienceOn
37 Dollar, A. and Steif, P.S. (1988), "Load transfer in composites with a Coulumb friction interface", Int. J. Solid. Struct., 24, 789-803.   DOI   ScienceOn
38 Galassi, C., Dinescu, M., Uchino, K. and Sayer, M. (2000), Piezoelectric Materials: Advances in Science, Technology and Applications, Kluwer Academic Publisher, Boston/Dordrecht, USA/The Netherlands.
39 Crawley, E.F. and Luis, J.D. (1987), "Use of piezoelectric actuators as elements of intelligent structures", AIAA J., 25, 1373-1385.   DOI   ScienceOn
40 Della, C.N. and Shu, D.W. (2007), "Free vibration analysis of delaminated bimaterial beams", Compos. Struct., 80, 212-220.   DOI   ScienceOn
41 Wilsona, S.A., Jourdaina, R.P.J., Zhanga, Q., Doreya, R.A., Bowenb, C.R., Willanderc, M., Wahabd, O.U., Willandere, M., Al-hillie, S.M., Nure, O., Quandtf, E., Johanssong, C., Pagounish, E., Kohli, M., Matovicj, J., Samelk, B., Van der Wijngaartk, W., Jagerl, E.W.J., Carlssonl, D., Djinovicj, Z., Wegenerp, M., Moldovanm, C., Iosubm, R., Abadn, E., Wendlandto, M., Rusug, C. and Persson, K. (2007), "New materials for microscale sensors and actuators: An engineering review", Mater. Sci. Eng. R. Rep., 56, 1-129.   DOI   ScienceOn
42 Zhong, F.H. and Folias, E.S. (1992), "The 3D stress field of a fiber embedded into a matrix and subjected to an axial load", Comput. Mech., 9, 233-247.   DOI
43 Tan, P. and Tong, L.Y. (2006), "A sensor charge output deviation method for delamination detection using isolated piezoelectric actuator and sensor patches", Compos. Part B-Eng., 37, 583-592.   DOI   ScienceOn
44 Tiersten, H.F. (1969), Linear Piezoelectric Plate Vibration, Plenum Press, New York, USA.
45 Tzou, H.S. and Anderson, G.L. (1992), Intelligent Structural Systems, Kluwer Academic Publisher, Boston/ Dordrecht, USA/The Netherlands.
46 Tzou, H.S. (1993), Piezoelectric Shells, Distributed Sensing and Control of Continua, Kluwer Academic Publisher, Boston/Dordrecht, USA/The Netherlands.
47 Shakeri, M., Akhlaghi, M. and Hoseini, S.M. (2006), "Vibration and radial wave propagation velocity in functionally graded thick hollow cylinder", Compos. Struct., 76, 174-181.   DOI   ScienceOn
48 Simoes Moita, J.M., Correia, I.F.P., Mota Soares, C.M.M. and Mota Soares, C.A. (2004), "Active control of adaptive laminated structures with bonded piezoelectric sensors and actuators", Comput. Struct., 82, 1349-1358.   DOI   ScienceOn
49 Tan, P. and Tong, L.Y. (2004), "Identification of delamination in a composite beam using integrated piezoelectric sensor/actuator layer", Compos. Struct., 66, 391-398.   DOI
50 Sun, D.C., Tong, L.Y. and Atluri, S.N. (2001), "Effects of piezoelectric sensor/actuator debonding on vibration control of smart beams", Int. J. Solid. Struct., 38, 9033-9051.   DOI   ScienceOn
51 Qu, J.M. (1993b), "The effect of slightly weakened interfaces on the overall elastic properties of composite materials", Mech. Mater., 14, 269-281.   DOI   ScienceOn