Structural Engineering and Mechanics

  • 제34권4호
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  • Pages.449-474
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  • 2010
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

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)
  • 투고 : 2008.09.16
  • 심사 : 2009.11.16
  • 발행 : 2010.03.10
⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

  1. Aboudi, J. (1987), "Damage in composites-modeling of imperfect bonding", Compos. Sci. Technol., 28, 103-128. https://doi.org/10.1016/0266-3538(87)90093-5
  2. 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. https://doi.org/10.1016/0022-5096(89)90005-7
  3. Benveniste, Y. (1985), "The effective mechanical behaviour of composite materials with imperfect contact between the constituents", Mech. Mater., 4, 197-208. https://doi.org/10.1016/0167-6636(85)90016-X
  4. 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. https://doi.org/10.12989/sem.2006.23.1.097
  5. 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. https://doi.org/10.1016/j.compstruct.2005.01.005
  6. 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. https://doi.org/10.1016/j.ijsolstr.2007.02.019
  7. 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. https://doi.org/10.1016/j.ijsolstr.2003.09.036
  8. 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. https://doi.org/10.2514/2.6817
  9. 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. https://doi.org/10.1016/j.compstruct.2003.08.010
  10. 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. https://doi.org/10.2514/1.4776
  11. 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. https://doi.org/10.1016/j.ijsolstr.2003.12.018
  12. 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. https://doi.org/10.1016/j.compstruct.2005.04.011
  13. 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. https://doi.org/10.1115/1.2787221
  14. Crawley, E.F. and Luis, J.D. (1987), "Use of piezoelectric actuators as elements of intelligent structures", AIAA J., 25, 1373-1385. https://doi.org/10.2514/3.9792
  15. Della, C.N. and Shu, D.W. (2007), "Free vibration analysis of delaminated bimaterial beams", Compos. Struct., 80, 212-220. https://doi.org/10.1016/j.compstruct.2006.05.005
  16. Ding, H.J. and Chen, W.Q. (2001), Three Dimensional Problems of Piezoelasticity, Nova Science Publishers, New York, USA.
  17. Dollar, A. and Steif, P.S. (1988), "Load transfer in composites with a Coulumb friction interface", Int. J. Solid. Struct., 24, 789-803. https://doi.org/10.1016/0020-7683(88)90048-0
  18. 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.
  19. 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. https://doi.org/10.1016/j.surfcoat.2006.09.007
  20. 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. https://doi.org/10.1016/j.surfcoat.2006.11.017
  21. 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. https://doi.org/10.1016/j.tws.2007.04.007
  22. Hashin, Z. (1990), "Thermoelastic properties of fibre composites with imperfect interface", Mech. Mater., 8, 333-348.
  23. Hashin, Z. (1991a), "Thermoelastic properties of particulate composites with imperfect interface", J. Mech. Phys. Solids, 39, 745-762. https://doi.org/10.1016/0022-5096(91)90023-H
  24. Hashin, Z. (1991b), "The Spherical inclusion with imperfect interface", J. Appl. Mech., 58, 444-449. https://doi.org/10.1115/1.2897205
  25. 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. https://doi.org/10.1016/S1359-8368(02)00138-5
  26. 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. https://doi.org/10.1016/j.jsv.2005.01.033
  27. Junger, M.C. and Feit, D. (1993), Sound Structures, and Their Interaction, Acoustical Society of America, Woodbury, USA.
  28. 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. https://doi.org/10.1016/j.compstruct.2005.01.015
  29. 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. https://doi.org/10.1016/S0020-7683(00)00263-8
  30. 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. https://doi.org/10.1016/S0022-3115(02)00801-2
  31. Lipton, R. (2001), "Effect of interfacial bonding on fiber reinforced shafts subject to antiplane shear", Int. J. Solid. Struct., 38, 369-387. https://doi.org/10.1016/S0020-7683(00)00022-6
  32. Mahmoud, N.A. (2003), "Reduction of thermal stresses by developing two-dimensional functionally graded materials", Int. J. Solid. Struct., 40, 7339-7356. https://doi.org/10.1016/j.ijsolstr.2003.08.017
  33. Moore, I.D. (2001), "Buried pipes and culverts", Geotech. Geoenviron. Eng. Handb., 18, 541-567.
  34. Pagano, N.J. and Tandon, G.P. (1990), "Modeling of imperfect bonding in fiber reinforced brittle matrix composites", Mech. Mater., 9, 49-64. https://doi.org/10.1016/0167-6636(90)90029-F
  35. 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. https://doi.org/10.1016/S0921-5093(03)00580-X
  36. Qu, J.M. (1993a), "Eshelby tensor for an elastic inclusion with slightly weakened interfaces", J. Appl. Mech., 60, 1048-1050. https://doi.org/10.1115/1.2900974
  37. Qu, J.M. (1993b), "The effect of slightly weakened interfaces on the overall elastic properties of composite materials", Mech. Mater., 14, 269-281. https://doi.org/10.1016/0167-6636(93)90082-3
  38. 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. https://doi.org/10.1016/j.compscitech.2004.12.027
  39. Ray, M.C. and Sachade, H.M. (2006), "Finite element analysis of smart functionally graded plates", Int. J. Solid. Struct., 43, 5468-5484. https://doi.org/10.1016/j.ijsolstr.2005.06.096
  40. Reddy, J.N. and Cheng, Z.Q. (2001), "Three-dimensional solutions of smart functionally graded plates", J. Appl. Mech., 68, 234-241. https://doi.org/10.1115/1.1347994
  41. 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. https://doi.org/10.1016/j.ultras.2003.12.025
  42. 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. https://doi.org/10.1016/j.compstruct.2006.06.022
  43. 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. https://doi.org/10.1016/j.compstruc.2004.03.030
  44. 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. https://doi.org/10.1016/S0020-7683(01)00180-9
  45. 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. https://doi.org/10.1016/j.compstruct.2004.04.060
  46. 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. https://doi.org/10.1016/j.compositesb.2006.03.007
  47. Tiersten, H.F. (1969), Linear Piezoelectric Plate Vibration, Plenum Press, New York, USA.
  48. Tzou, H.S. and Anderson, G.L. (1992), Intelligent Structural Systems, Kluwer Academic Publisher, Boston/ Dordrecht, USA/The Netherlands.
  49. Tzou, H.S. (1993), Piezoelectric Shells, Distributed Sensing and Control of Continua, Kluwer Academic Publisher, Boston/Dordrecht, USA/The Netherlands.
  50. 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. https://doi.org/10.1016/j.mser.2007.03.001
  51. 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. https://doi.org/10.1007/BF00370033

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