Nonlinear analysis of smart functionally graded annular sector plates using cylindrically orthotropic piezoelectric fiber reinforced composite
Source abstract
Abstract
This work deals with the geometrically nonlinear thermo-electro-elastic analysis of functionally graded (FG) annular sector plates integrated with the annular patches of cylindrically orthotropic piezoelectric fiber reinforced composite (PFRC). The annular patches with an external voltage across their thickness act as the distributed actuators and their performance in controlling the nonlinear flexural deformations of the host FG plates is investigated. The temperature field is assumed to be spatially uniform over the plate surfaces and varied through the thickness of the substrate FG plates. The temperature-dependent material properties of the FG plates are assumed to be graded in the thickness direction of the plates according to a power-law distribution while the Poisson’s ratio is assumed to be a constant over the domain of the substrate plate. A finite element model of the overall smart FG annular sector plate is developed based on the first order shear deformation theory and the Von Karman nonlinear strain–displacement relations. The governing nonlinear finite element equations are derived employing the principle of minimum potential energy and solved using direct iteration method. The numerical results illustrate significant control authority of the cylindrically orthotropic PFRC annular patches for active control of nonlinear deformations of the substrate FG annular sector plates. The numerical results also reveal the best radial and circumferential locations of the annular PFRC patches for effective control. For a specified circumferential stretch of the annular PFRC patches, their minimum radial length is numerically estimated in such a way that the performance of the overall smart FG plate is not affected significantly. The effects of the material properties and the temperature of the host FG plate on the performance of the annular PFRC patches are also discussed.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Composite Structure Analysis and Optimization · Aeroelasticity and Vibration Control · Structural Analysis and Optimization
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References (35)
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1. Aboudi, J., Pindera, M.J., Arnold, S.M.: Thermoelastic theory for the response of materials functionally graded in two directions. Int. J. Solids Struct. 33, 931–966 (1996)10.1016/0020-7683(95)00084-4 ↗
2. Alibeigloo, A., Simintan, V.: Elasticity solution of functionally graded circular and annular plates integrated with sensor and actuator layers using differential quadrature. Compos. Struct. (2011). doi: 10.1010/j.compstruct.2011.04.003
3. Ashida, F., Sakata, S., Matsumoto, K.: Structure design of a piezoelectric composite disk for control of thermal stress. ASME J. Appl. Mech. 75, 0610091–0610098 (2008)10.1115/1.2965369 ↗
4. Bailey, T., Hubbard, J.E., James, E.: Distributed piezoelectric polymer active vibration control of a cantilever beam. J. Guid. Control Dyn. 8, 605–611 (1985)10.2514/3.20029 ↗
5. Batra, R.C., Vel, S.S.: Exact solution for thermoelastic deformations of functionally graded thick rectangular plates. AIAA J. 40, 1421–1433 (2001)
6. Dong, S., Tong, L.: Vibration control of plates using discretely distributed piezoelectric quasi-modal actuators/sensors. AIAA J. 39, 1766–1772 (2001)10.2514/2.1507 ↗
7. Ebrahimi, F., Rastgoo, A., Atai, A.A.: A theoretical analysis of smart moderately thick shear deformable annular functionally graded plate. Eur. J. Mech. A. Solids 28, 962–973 (2009)10.1016/j.euromechsol.2008.12.008 ↗
8. Feldman, E., Aboudi, J.: Buckling analysis of functionally graded plates subjected to uniaxial loading. Compos. Struct. 38, 29–36 (1997)10.1016/S0263-8223(97)00038-X ↗
9. He, X.Q., Ng, T.Y., Sivashanker, S., Liew, K.M.: Active control of FGM plates with integrated piezoelectric sensors and actuators. Int. J. Solids Struct. 38, 1641–1655 (2001)10.1016/S0020-7683(00)00050-0 ↗
10. Huang, X.L., Shen, H.S.: Vibration and dynamic response of functionally graded plates with piezoelectric actuators in thermal environments. J. Sound Vib. 289, 25–53 (2006)10.1016/j.jsv.2005.01.033 ↗
11. Hui, L.H.: Axisymmetric response of circular plates with piezoelectric layers: exact solutions. Int. J. Mech. Sci. 40, 1265–1289 (1998)10.1016/S0020-7403(98)00017-4 ↗
12. Jomehzadeh, E., Saidi, A.R., Atashipour, S.R.: An analytical approach for stress analysis of functionally graded annular sector plates. Mater. Des. 30, 3679–3685 (2009)10.1016/j.matdes.2009.02.011 ↗
13. Koizumi, M.: Concept of FGM. Ceram. Trans. 34, 3–10 (1993)
14. Li, S.-R., Zhang, J.-H., Zhao, Y.-G.: Nonlinear thermo-mechanical post- buckling of circular FGM plate with geometric imperfection. Thin-Walled Struct. 45, 528–536 (2007)10.1016/j.tws.2007.04.002 ↗
15. Liew, K.M., He, X.Q., Ng, T.Y., Kitipornchai, S.: Finite element piezo-thermo-elasticity analysis and active control of FGM plates with integrated piezoelectric sensors and actuators. Comput. Mech. 31, 350–358 (2003)10.1007/s00466-003-0437-0 ↗
16. Mallik, N., Ray, M.C.: Effective coefficients of piezoelectric fiber reinforced composites. AIAA J. 41, 704–710 (2003)10.2514/2.2001 ↗
17. Miller, S. E., Hubbard, J. E.: Observability of a Bernoulli-Euler beam using PVF2 as a distributed sensor. MIT Draper Laboratory Report (1987)
18. Noda, N.: Thermal residual stresses in functionally graded materials. J. Therm. Stress 22, 477–512 (1999)10.1080/014957399280841 ↗
19. Ootao, Y., Tanigawa, Y.: Three-dimensional transient piezo-thermo-elasticity in functionally graded rectangular plate bonded to a piezoelectric plate. Int. J. Solids Struct. 37, 4377–4401 (2000)10.1016/S0020-7683(99)00257-7 ↗
20. Panda, S., Ray, M.C.: Nonlinear analysis of smart functionally graded plates integrated with a layer of piezoelectric fiber reinforced composite. Smart Mater. Struct. 15, 1595–1604 (2006)10.1088/0964-1726/15/6/011 ↗
21. Praveen, G.N., Reddy, J.N.: Nonlinear transient thermo-elastic analysis of functionally graded ceramic metal plates. Int. J. Solids Struct. 35, 4457–4476 (1998)10.1016/S0020-7683(97)00253-9 ↗
22. Ray, M.C., Reddy, J.N.: Active control of laminated cylindrical shells using piezoelectric fiber reinforced composites. Compos. Sci. Technol. 65, 1226–1236 (2005)10.1016/j.compscitech.2004.12.027 ↗
23. Ray, M.C., Sachade, H.M.: Exact solutions for the functionally graded plates integrated with a layer of piezoelectric fiber-reinforced composite. ASME J. Appl. Mech. 73, 622–632 (2006)10.1115/1.2165230 ↗
24. Reddy, J.N., Cheng, Z.Q.: Three-dimensional solutions of smart functionally graded plates. ASME J. Appl. Mech. 68, 234–241 (2001)10.1115/1.1347994 ↗
25. Reddy, J.N., Huang, C.L.: Nonlinear axisymmetric bending of annular plates with varying thickness. Int. J. Solids Struct. 17, 811–825 (1981)10.1016/0020-7683(81)90090-1 ↗
26. Saidi, A.R., Baferani, A.H.: Thermal buckling analysis of moderately thick functionally graded annular sector plates. Compos. Struct. 92, 1744–1752 (2010)10.1016/j.compstruct.2010.01.004 ↗
27. Sekouri, E.M., Yan-Ru, H., Ngo, A.D.: Modeling of a circular plate with piezoelectric actuators. Mechatronics 14, 1007–1020 (2004)10.1016/j.mechatronics.2004.04.003 ↗
28. Sepahi, O., Forouzan, M.R., Malekzadeh, P.: Large deflection analysis of thermo-mechanical loaded annular FGM plates on nonlinear elastic foundation via DQM. Compos. Struct. 92, 2369–2378 (2010)10.1016/j.compstruct.2010.03.011 ↗
29. Shen, H.S.: Nonlinear bending response of functionally graded plates subjected to transverse loads and in thermal environments. Int. J. Mech. Sci. 44, 561–584 (2002)10.1016/S0020-7403(01)00103-5 ↗
30. Shen, H.S.: A comparison of buckling and post buckling behavior of FGM plates with piezoelectric fiber reinforced composite actuators. Compos. Struct. 91, 375–384 (2009)10.1016/j.compstruct.2009.06.005 ↗
31. Srinivasan, R.S., Thiruvenkatachari, V.: Nonlinear bending of annular sector plates using a matrix method. Comput. Struct. 18, 803–819 (1984)10.1016/0045-7949(84)90027-0 ↗
32. Tiersten, H.F.: Linear Piezoelectric Plate Vibrations. Plenum Press, New York (1969)10.1007/978-1-4899-6453-3 ↗
33. Woo, J., Meguid, S.A.: Nonlinear analysis of functionally graded plates and shallow shells. Int. J. Solids Struct. 38, 7409–7421 (2001)10.1016/S0020-7683(01)00048-8 ↗
34. Xia, X.K., Shen, H.S.: Nonlinear vibration and dynamic response of FGM plates with piezoelectric fiber reinforced composite actuators. Compos. Struct. 90, 254–262 (2009)10.1016/j.compstruct.2009.03.018 ↗
35. Yang, J., Kitipornchai, S., Liew, K.M.: Non-linear analysis of thermo-electro-mechanical behavior of shear deformable FGM plates with piezoelectric actuators. Int. J. Numer. Methods Eng. 59, 1605–1632 (2004)10.1002/nme.932 ↗