메뉴 건너뛰기




Volumn 36, Issue 3, 2012, Pages 1132-1147

On the effects of coupling between in-plane and out-of-plane vibrating modes of smart functionally graded circular/annular plates

Author keywords

FGM; Free vibration; Mindlin plate theory; Piezoelectric; Sandwich structures

Indexed keywords

ANALYTICAL AND NUMERICAL METHODS; CIRCULAR/ANNULAR PLATE; CLOSED FORM SOLUTIONS; DEVELOPED MODEL; DIFFERENT BOUNDARY CONDITION; FIRST-ORDER SHEAR DEFORMATION THEORY; FREE VIBRATION; FREQUENCY PARAMETERS; FUNCTIONALLY GRADED; FUNCTIONALLY GRADED PLATES; IN-PLANE; MATERIAL PROPERTY; MINDLIN; OUT-OF-PLANE; PIEZOELECTRIC; TRANSVERSE DISPLACEMENTS; TRANSVERSE VIBRATIONS; VIBRATING MODES; VIBRATIONAL BEHAVIOR;

EID: 83655192019     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2011.07.051     Document Type: Article
Times cited : (21)

References (33)
  • 1
    • 83655175216 scopus 로고
    • Vibration of Plates, Office of Technology Utilization, Washington, DC
    • A.W. Leissa, Vibration of Plates, Office of Technology Utilization, Washington, DC, 1969.
    • (1969)
    • Leissa, A.W.1
  • 2
    • 0001650960 scopus 로고
    • Natural modes and natural frequencies of uniform, circular, free-edge plates
    • Itao K., Crandall S.H. Natural modes and natural frequencies of uniform, circular, free-edge plates. J. Appl. Mech. 1979, 46:448-453.
    • (1979) J. Appl. Mech. , vol.46 , pp. 448-453
    • Itao, K.1    Crandall, S.H.2
  • 3
    • 0038186413 scopus 로고
    • Axially symmetric flexural vibrations of a circular disk
    • Deresiewicz H., Mindlin R.D. Axially symmetric flexural vibrations of a circular disk. J. Appl. Mech. 1955, 49:633-638.
    • (1955) J. Appl. Mech. , vol.49 , pp. 633-638
    • Deresiewicz, H.1    Mindlin, R.D.2
  • 4
    • 33750608502 scopus 로고    scopus 로고
    • Exact vibration analysis of variable thickness thick annular isotropic and FGM plates
    • Efraim E., Eisenberger M. Exact vibration analysis of variable thickness thick annular isotropic and FGM plates. J. Sound Vib. 2007, 299:720-738.
    • (2007) J. Sound Vib. , vol.299 , pp. 720-738
    • Efraim, E.1    Eisenberger, M.2
  • 5
    • 74249122443 scopus 로고    scopus 로고
    • Closed-form solution for free vibration of piezoelectric coupled annular plates using Levinson plate theory
    • Hosseini Hashemi S.H., Es'haghi M., Karimi M. Closed-form solution for free vibration of piezoelectric coupled annular plates using Levinson plate theory. J. Sound Vib. 2010, 329:1390-1408.
    • (2010) J. Sound Vib. , vol.329 , pp. 1390-1408
    • Hosseini Hashemi, S.H.1    Es'haghi, M.2    Karimi, M.3
  • 6
    • 75049084356 scopus 로고    scopus 로고
    • Vibration analysis of rectangular Mindlin plates on elastic foundations and vertically in contact with stationary fluid by the Ritz method
    • Hosseini Hashemi S.H., Karimi M., Rokni Damavandi Taher H. Vibration analysis of rectangular Mindlin plates on elastic foundations and vertically in contact with stationary fluid by the Ritz method. Ocean Eng. 2010, 37:174-185.
    • (2010) Ocean Eng. , vol.37 , pp. 174-185
    • Hosseini Hashemi, S.H.1    Karimi, M.2    Rokni Damavandi Taher, H.3
  • 7
    • 0019060591 scopus 로고
    • Natural frequencies of circular plates
    • Irie T., Yamada G., Takagi K. Natural frequencies of circular plates. J. Appl. Mech. 1980, 47:652-655.
    • (1980) J. Appl. Mech. , vol.47 , pp. 652-655
    • Irie, T.1    Yamada, G.2    Takagi, K.3
  • 8
    • 35148820078 scopus 로고    scopus 로고
    • Free vibration and stability of functionally graded plates according to a 2-D higher-order deformation theory
    • Matsunaga H. Free vibration and stability of functionally graded plates according to a 2-D higher-order deformation theory. Compos. Struct. 2008, 82:499-512.
    • (2008) Compos. Struct. , vol.82 , pp. 499-512
    • Matsunaga, H.1
  • 9
    • 0029152046 scopus 로고
    • Exact free vibration analysis of laminated plate with embedded piezoelectric layer
    • Heyliger P., Saravanos D.A. Exact free vibration analysis of laminated plate with embedded piezoelectric layer. Acoust. Soc. Am. 1995, 98:1547-1557.
    • (1995) Acoust. Soc. Am. , vol.98 , pp. 1547-1557
    • Heyliger, P.1    Saravanos, D.A.2
  • 10
    • 0029394658 scopus 로고
    • Free vibration of piezoelectric laminates in cylindrical bending
    • Heyliger P., Saravanos D.A. Free vibration of piezoelectric laminates in cylindrical bending. Int. J. Solids Struct. 1995, 32:2945-2959.
    • (1995) Int. J. Solids Struct. , vol.32 , pp. 2945-2959
    • Heyliger, P.1    Saravanos, D.A.2
  • 11
    • 0032673957 scopus 로고    scopus 로고
    • Free axisymmetric vibration of transversely isotropic piezoelectric circular plates
    • Ding H., Xu R., Chi Y., Chen W. Free axisymmetric vibration of transversely isotropic piezoelectric circular plates. Int. J. Solids Struct. 1999, 36:4629-4652.
    • (1999) Int. J. Solids Struct. , vol.36 , pp. 4629-4652
    • Ding, H.1    Xu, R.2    Chi, Y.3    Chen, W.4
  • 12
    • 0035304813 scopus 로고    scopus 로고
    • Analysis of piezoelectric coupled circular plate
    • Wang Q., Quek S.T., Sun C.T., Liu X. Analysis of piezoelectric coupled circular plate. Smart Mater. Struct. 2001, 10:229-239.
    • (2001) Smart Mater. Struct. , vol.10 , pp. 229-239
    • Wang, Q.1    Quek, S.T.2    Sun, C.T.3    Liu, X.4
  • 13
    • 0037066650 scopus 로고    scopus 로고
    • Analytical solution for free vibration of piezoelectric coupled moderately thick circular plates
    • Liu X., Wang Q., Quek S.T. Analytical solution for free vibration of piezoelectric coupled moderately thick circular plates. Int. J. Solids Struct. 2002, 39:2129-2151.
    • (2002) Int. J. Solids Struct. , vol.39 , pp. 2129-2151
    • Liu, X.1    Wang, Q.2    Quek, S.T.3
  • 14
    • 12344293643 scopus 로고    scopus 로고
    • Free vibration analysis of piezoelectric coupled thin and thick annular plate
    • Duan W.H., Quek S.T., Wang Q. Free vibration analysis of piezoelectric coupled thin and thick annular plate. J. Sound Vib. 2005, 281:119-139.
    • (2005) J. Sound Vib. , vol.281 , pp. 119-139
    • Duan, W.H.1    Quek, S.T.2    Wang, Q.3
  • 15
    • 35748971019 scopus 로고    scopus 로고
    • A modified axisymmetric finite element for the 3-D vibration analysis of piezoelectric laminated circular and annular plates
    • Liu C.F., Chen T.J., Chen Y.J. A modified axisymmetric finite element for the 3-D vibration analysis of piezoelectric laminated circular and annular plates. J. Sound Vib. 2008, 309:794-804.
    • (2008) J. Sound Vib. , vol.309 , pp. 794-804
    • Liu, C.F.1    Chen, T.J.2    Chen, Y.J.3
  • 16
    • 0031121229 scopus 로고    scopus 로고
    • The vibration of a rectangular laminated elastic plate with embedded piezoelectric sensors and actuators
    • Batra R.C., Liang X.Q. The vibration of a rectangular laminated elastic plate with embedded piezoelectric sensors and actuators. Comput. Struct. 1997, 63:203-216.
    • (1997) Comput. Struct. , vol.63 , pp. 203-216
    • Batra, R.C.1    Liang, X.Q.2
  • 17
    • 0035398086 scopus 로고    scopus 로고
    • Exact solution for rectangular sandwich plates with embedded piezoelectric shear actuators
    • Vel S.S., Batra R.C. Exact solution for rectangular sandwich plates with embedded piezoelectric shear actuators. AIAA J. 2001, 39:1363-1373.
    • (2001) AIAA J. , vol.39 , pp. 1363-1373
    • Vel, S.S.1    Batra, R.C.2
  • 18
    • 0001228130 scopus 로고    scopus 로고
    • Three-dimensional solutions of smart functionally graded plates
    • Reddy J.N., Cheng Z.Q. Three-dimensional solutions of smart functionally graded plates. J. Appl. Mech. ASME 2001, 68:234-241.
    • (2001) J. Appl. Mech. ASME , vol.68 , pp. 234-241
    • Reddy, J.N.1    Cheng, Z.Q.2
  • 19
    • 0037202024 scopus 로고    scopus 로고
    • Active control of FGM shells subjected to a temperature gradient via piezoelectric sensor/actuator patches
    • Liew K.M., He X.Q., Ng T.Y., Kipornachai S. Active control of FGM shells subjected to a temperature gradient via piezoelectric sensor/actuator patches. Int. J. Numer. Method Eng. 2002, 55(6):653-668.
    • (2002) Int. J. Numer. Method Eng. , vol.55 , Issue.6 , pp. 653-668
    • Liew, K.M.1    He, X.Q.2    Ng, T.Y.3    Kipornachai, S.4
  • 20
    • 0033692986 scopus 로고    scopus 로고
    • Three-dimensional transient piezo-thermo-elasticity in functionally graded rectangular plate bonded to a piezoelectric plate
    • Ootao Y., Tanigawa Y. Three-dimensional transient piezo-thermo-elasticity in functionally graded rectangular plate bonded to a piezoelectric plate. Int. J. Solids Struct. 2000, 37:4377-4401.
    • (2000) Int. J. Solids Struct. , vol.37 , pp. 4377-4401
    • Ootao, Y.1    Tanigawa, Y.2
  • 21
    • 0034925888 scopus 로고    scopus 로고
    • Control of transient thermoelastic displacement of a functionally graded rectangular plate bonded to a piezoelectric plate due to nonuniform heating
    • Ootao Y., Tanigawa Y. Control of transient thermoelastic displacement of a functionally graded rectangular plate bonded to a piezoelectric plate due to nonuniform heating. Acta Mech. 2001, 148:17-33.
    • (2001) Acta Mech. , vol.148 , pp. 17-33
    • Ootao, Y.1    Tanigawa, Y.2
  • 22
    • 0035306011 scopus 로고    scopus 로고
    • Design of smart functionally graded thermo-piezoelectric composite structure
    • Wang B.L., Noda N. Design of smart functionally graded thermo-piezoelectric composite structure. Smart Mater. Struct. 2001, 10:189-193.
    • (2001) Smart Mater. Struct. , vol.10 , pp. 189-193
    • Wang, B.L.1    Noda, N.2
  • 23
    • 51049103153 scopus 로고    scopus 로고
    • An analytical study on the free vibration of smart circular thin FGM plate based on classical plate theory
    • Ebrahimi F., Rastgoo A. An analytical study on the free vibration of smart circular thin FGM plate based on classical plate theory. Thin-Walled Struct. 2008, 46:1402-1408.
    • (2008) Thin-Walled Struct. , vol.46 , pp. 1402-1408
    • Ebrahimi, F.1    Rastgoo, A.2
  • 24
    • 41849085491 scopus 로고    scopus 로고
    • Free vibration analysis of smart annular FGM plates integrated with Piezoelectric layers
    • 13
    • Ebrahimi F., Rastgoo A. Free vibration analysis of smart annular FGM plates integrated with Piezoelectric layers. Smart Mater. Struct. 2008, 17:015044. 13pp.
    • (2008) Smart Mater. Struct. , vol.17 , pp. 015044
    • Ebrahimi, F.1    Rastgoo, A.2
  • 25
    • 67650724050 scopus 로고    scopus 로고
    • A theoretical analysis of smart moderately thick shear deformable annular functionally graded plate
    • 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 2008, 28:962-973.
    • (2008) Eur. J. Mech. A - Solids , vol.28 , pp. 962-973
    • Ebrahimi, F.1    Rastgoo, A.2    Atai, A.A.3
  • 26
    • 47149098211 scopus 로고    scopus 로고
    • Analytical investigation on axisymmetric free vibrations of moderately thick circular functionally graded plate integrated with piezoelectric layers
    • Ebrahimi F., Rastgoo A., kargarnovin M.H. Analytical investigation on axisymmetric free vibrations of moderately thick circular functionally graded plate integrated with piezoelectric layers. J. Mech. Sci. Technol. 2008, 22:1058-1072.
    • (2008) J. Mech. Sci. Technol. , vol.22 , pp. 1058-1072
    • Ebrahimi, F.1    Rastgoo, A.2    kargarnovin, M.H.3
  • 27
    • 75549086783 scopus 로고    scopus 로고
    • Closed-form vibration analysis of thick annular functionally graded plates with integrated piezoelectric layers
    • Hosseini Hashemi Sh., Es'haghi M., Karimi M. Closed-form vibration analysis of thick annular functionally graded plates with integrated piezoelectric layers. Int. J. Mech. Sci. 2010, 52:410-428.
    • (2010) Int. J. Mech. Sci. , vol.52 , pp. 410-428
    • Hosseini Hashemi, S.1    Es'haghi, M.2    Karimi, M.3
  • 28
    • 77950671815 scopus 로고    scopus 로고
    • Exact closed-form frequency equations for thick circular plates using a third-order shear deformation theory
    • Hosseini-Hashemi Sh., Es'haghi M., Rokni Damavandi Taher H., Fadaie M. Exact closed-form frequency equations for thick circular plates using a third-order shear deformation theory. J. Sound Vib. 2010, 329:3382-3396.
    • (2010) J. Sound Vib. , vol.329 , pp. 3382-3396
    • Hosseini-Hashemi, S.1    Es'haghi, M.2    Rokni Damavandi Taher, H.3    Fadaie, M.4
  • 29
    • 75449111781 scopus 로고    scopus 로고
    • An exact analytical solution for freely vibrating piezoelectric coupled circular/annular thick plates using Reddy plate theory
    • Hosseini-Hashemi Sh., Es'haghi M., Rokni Damavandi Taher H. An exact analytical solution for freely vibrating piezoelectric coupled circular/annular thick plates using Reddy plate theory. Compos. Struct. 2010, 92:1333-1351.
    • (2010) Compos. Struct. , vol.92 , pp. 1333-1351
    • Hosseini-Hashemi, S.1    Es'haghi, M.2    Rokni Damavandi Taher, H.3
  • 30
    • 79960018097 scopus 로고    scopus 로고
    • Vibration analysis of piezoelectric FGM sensors using an accurate method
    • Es'haghi M., Hosseini Hashemi S.H., Fadaee M. Vibration analysis of piezoelectric FGM sensors using an accurate method. Int. J. Mech. Sci. 2011, 53(8):585-594.
    • (2011) Int. J. Mech. Sci. , vol.53 , Issue.8 , pp. 585-594
    • Es'haghi, M.1    Hosseini Hashemi, S.H.2    Fadaee, M.3
  • 31
    • 0003411868 scopus 로고    scopus 로고
    • Mathematical Handbook of Formulas and Tables
    • McGraw-Hill, Singapore
    • Speigel M.R. Mathematical Handbook of Formulas and Tables. Schaum's Outline Series 1999, McGraw-Hill, Singapore.
    • (1999) Schaum's Outline Series
    • Speigel, M.R.1
  • 32
    • 77953359833 scopus 로고    scopus 로고
    • 2-D differential quadrature solution for vibration analysis of functionally graded conical, cylindrical shell and annular plate structures
    • Tornabene F., Viola E., Inman D.J. 2-D differential quadrature solution for vibration analysis of functionally graded conical, cylindrical shell and annular plate structures. J. Sound Vib. 2009, 328:259-290.
    • (2009) J. Sound Vib. , vol.328 , pp. 259-290
    • Tornabene, F.1    Viola, E.2    Inman, D.J.3
  • 33
    • 79951513386 scopus 로고    scopus 로고
    • Study on the free vibration of thick functionally graded rectangular plates according to a new exact closed-form procedure
    • Hosseini Hashemi S.H., Fadaee M., Atashipour S.R. Study on the free vibration of thick functionally graded rectangular plates according to a new exact closed-form procedure. Compos. Struct. 2011, 93(2):22-735.
    • (2011) Compos. Struct. , vol.93 , Issue.2 , pp. 22-735
    • Hosseini Hashemi, S.H.1    Fadaee, M.2    Atashipour, S.R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.