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Volumn 46, Issue 5, 2011, Pages 893-913

Free vibration analysis of elastically supported functionally raded annular plates subjected to thermal environment

Author keywords

Elastic oundation; Free vibration; Functionally graded nnular plate; Thermal environment

Indexed keywords

ANNULAR PLATE; DIFFERENTIAL QUADRATURE METHODS; ELASTIC FOUNDATION; ELASTIC OUNDATION; EQUILIBRIUM EQUATION; FIRST-ORDER SHEAR DEFORMATION THEORY; FREE VIBRATION; FREE-VIBRATION ANALYSIS; FREQUENCY PARAMETERS; FUNCTIONALLY GRADED; FUNCTIONALLY GRADED NNULAR PLATE; GEOMETRICAL PARAMETERS; GRADED INDEX; HAMILTON'S PRINCIPLE; MATERIAL PROPERTY; NEW RESULTS; NUMERICAL TOOLS; TEMPERATURE DEPENDENT; TEMPERATURE RISE; THERMAL ENVIRONMENT; THERMOELASTICS; THICKNESS DIRECTION;

EID: 79961023741     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11012-010-9345-5     Document Type: Article
Times cited : (88)

References (32)
  • 1
    • 33845211960 scopus 로고    scopus 로고
    • Free vibration analysis of functionally graded beams with simply supported edges
    • DOI 10.1016/j.matdes.2006.02.007, PII S0261306906000562
    • Aydogdu M, Taskin V (2007) Free vibration analysis of functionally graded beams with simply supported edges. Mater Des 28:1651-1656 (Pubitemid 44849250)
    • (2007) Materials and Design , vol.28 , Issue.5 , pp. 1651-1656
    • Aydogdu, M.1    Taskin, V.2
  • 2
    • 34447559507 scopus 로고    scopus 로고
    • Vibration analysis of functionally graded thin-walled rotating blades under high temperature supersonic flow using the differential quadrature method
    • DOI 10.1016/j.jsv.2007.05.011, PII S0022460X07003598
    • Fazelzadeh SA, Malekzadeh P, Zahedinejad P, Hosseini M (2007) Vibration analysis of functionally graded thinwalled rotating blades under high temperature supersonic flow using the differential quadrature method. J Sound Vib 306:333-348 (Pubitemid 47069466)
    • (2007) Journal of Sound and Vibration , vol.306 , Issue.1-2 , pp. 333-348
    • Fazelzadeh, S.A.1    Malekzadeh, P.2    Zahedinejad, P.3    Hosseini, M.4
  • 3
    • 39049095078 scopus 로고    scopus 로고
    • Free and forced vibration of a laminated FGM Timoshenko beam of variable thickness under heat conduction
    • DOI 10.1016/j.compositesb.2007.01.005, PII S135983680700025X
    • Xiang HJ, Yang J (2008) Free and forced vibration of a laminated FGM Timoshenko beam of variable thickness under heat conduction. J Compos, Part B 39:292-303 (Pubitemid 351248791)
    • (2008) Composites Part B: Engineering , vol.39 , Issue.2 , pp. 292-303
    • Xiang, H.J.1    Yang, J.2
  • 4
    • 71849084578 scopus 로고    scopus 로고
    • Thermo-mechanical vibration of FGM sandwich beam under variable elastic foundations using differential quadrature method
    • Pradhan SC, Murmu T (2008) Thermo-mechanical vibration of FGM sandwich beam under variable elastic foundations using differential quadrature method. J Sound Vib 282:509-516
    • (2008) J Sound Vib , vol.282 , pp. 509-516
    • Pradhan, S.C.1    Murmu, T.2
  • 5
    • 38749115878 scopus 로고    scopus 로고
    • Vibrations of axially moving flexible beams made of functionally graded materials
    • DOI 10.1016/j.tws.2007.08.031, PII S0263823107002170
    • Piovan MT, Sampaio R (2008) Vibration of axially moving flexible beamsmade of functionally gradedmaterials. Thin- Walled Struct 46:112-121 (Pubitemid 351178877)
    • (2008) Thin-Walled Structures , vol.46 , Issue.2 , pp. 112-121
    • Piovan, M.T.1    Sampaio, R.2
  • 6
    • 33750464833 scopus 로고    scopus 로고
    • Nonlinear vibration of initially stressed functionally graded plates
    • DOI 10.1016/j.tws.2006.08.007, PII S0263823106001352
    • Chen CS, Chen TJ, Chien RD (2006) Nonlinear vibration of initially stressed functionally graded plates. Thin-Walled Struct 44:844-851 (Pubitemid 44646701)
    • (2006) Thin-Walled Structures , vol.44 , Issue.8 , pp. 844-851
    • Chen, C.-S.1    Chen, T.J.2    Chien, R.-D.3
  • 7
    • 17844395970 scopus 로고    scopus 로고
    • Natural frequencies of a functionally graded anisotropic rectangular plate
    • DOI 10.1016/j.jsv.2004.03.068, PII S0022460X04003633
    • Batra RC, Jin J (2005) Natural frequencies of a functionally graded anisotropic rectangular plate. J Sound Vib 282:509-516 (Pubitemid 40583903)
    • (2005) Journal of Sound and Vibration , vol.282 , Issue.1-2 , pp. 509-516
    • Batra, R.C.1    Jin, J.2
  • 8
    • 0037104820 scopus 로고    scopus 로고
    • Vibration characteristics and transient response of shear-deformable functionally graded plates in thermal environments
    • DOI 10.1006/jsvi.2001.4161
    • Yang J, Shen HS (2002) Vibration characteristics and transient response of shear-deformable functionally graded plates in thermal environment. J Sound Vib 255:579-602 (Pubitemid 35432565)
    • (2002) Journal of Sound and Vibration , vol.255 , Issue.3 , pp. 579-602
    • Yang, J.1    Shen, H.-S.2
  • 9
    • 85010190064 scopus 로고    scopus 로고
    • Static and dynamic deformations of thick functionally graded elastic plates by using higher-order shear and normal deformable plate theory and meshless local Petrov-Galerkin method
    • Qian LF, Batra RC, Chen LM (2004) Static and dynamic deformations of thick functionally graded elastic plates by using higher-order shear and normal deformable plate theory and meshless local Petrov-Galerkin method. Compos, Part B 35:685-697
    • (2004) Compos, Part B , vol.35 , pp. 685-697
    • Qian, L.F.1    Batra, R.C.2    Chen, L.M.3
  • 10
    • 36148965132 scopus 로고    scopus 로고
    • Higher-order shear and normal deformable theory for functionally graded incompressible linear elastic plates
    • DOI 10.1016/j.tws.2007.07.008, PII S0263823107001541
    • Batra RC (2007) Higher-order shear and normal deformable theory for functionally graded incompressible linear elastic plates. Thin-Walled Struct 45:974-982 (Pubitemid 350116325)
    • (2007) Thin-Walled Structures , vol.45 , Issue.12 , pp. 974-982
    • Batra, R.C.1
  • 11
    • 18444386798 scopus 로고    scopus 로고
    • Temperature dependent vibration analysis of functionally graded rectangular plates
    • Kim YW (2005) Temperature dependent vibration analysis of functionally graded rectangular plates. J Sound Vib 284:531-549
    • (2005) J Sound Vib , vol.284 , pp. 531-549
    • Kim, Y.W.1
  • 12
    • 67349212665 scopus 로고    scopus 로고
    • Three-dimensional free vibration analysis of thick functionally graded plates on elastic foundations
    • Malekzadeh P (2009) Three-dimensional free vibration analysis of thick functionally graded plates on elastic foundations. Compos Struct 90:428-437
    • (2009) Compos Struct , vol.90 , pp. 428-437
    • Malekzadeh, P.1
  • 13
    • 38949195306 scopus 로고    scopus 로고
    • Thermal effect on vibration of non-homogenous visco-elastic rectangular plate of linearly varying thickness
    • DOI 10.1007/s11012-007-9093-3
    • Gupta AK, Kumar L (2008) Thermal effect on vibration of non-homogeneous visco-elastic rectangular plate of linearly varying thickness. Meccanica 43:47-54 (Pubitemid 351231624)
    • (2008) Meccanica , vol.43 , Issue.1 , pp. 47-54
    • Gupta, A.K.1    Kumar, L.2
  • 14
    • 48449096422 scopus 로고    scopus 로고
    • Study of the effect of thermal gradient on free vibration of clamped visco-elastic rectangular plate with linearly thickness variation in both directions
    • Gupta AK, Kaur H (2008) Study of the effect of thermal gradient on free vibration of clamped visco-elastic rectangular plate with linearly thickness variation in both directions. Meccanica 43:449-458
    • (2008) Meccanica , vol.43 , pp. 449-458
    • Gupta, A.K.1    Kaur, H.2
  • 15
    • 31344435898 scopus 로고    scopus 로고
    • On the plane strain and plane stress solutions of functionally graded rotating solid shaft and solid disk problems
    • DOI 10.1007/s00707-005-0276-5
    • Eraslan AN, Akis T (2006) On the plane strain and plane stress solutions of functionally graded rotating solid shaft and solid disk problems. Acta Mech 181:43-63 (Pubitemid 43146257)
    • (2006) Acta Mechanica , vol.181 , Issue.1-2 , pp. 43-63
    • Eraslan, A.N.1    Akis, T.2
  • 16
    • 33746405079 scopus 로고    scopus 로고
    • Asymmetric flexural vibration and thermoelastic stability of FGM circular plates using finite element method
    • DOI 10.1016/j.compositesb.2006.03.005, PII S1359836806000461
    • Prakash T, Ganapathi M (2006) Asymmetric flexural vibration and thermoelastic stability of FGM circular plates using finite element method. Compos, Part B 37:642-649 (Pubitemid 44128904)
    • (2006) Composites Part B: Engineering , vol.37 , Issue.7-8 , pp. 642-649
    • Prakash, T.1    Ganapathi, M.2
  • 17
    • 33750608502 scopus 로고    scopus 로고
    • Exact vibration analysis of variable thickness thick annular isotropic and FGM plates
    • DOI 10.1016/j.jsv.2006.06.068, PII S0022460X0600633X
    • Efraim E, EisenbergerM(2007) Exact vibration analysis of variable thickness thick annular isotropic and FGM plates. J Sound Vib 299:720-738 (Pubitemid 44692287)
    • (2007) Journal of Sound and Vibration , vol.299 , Issue.4-5 , pp. 720-738
    • Efraim, E.1    Eisenberger, M.2
  • 18
    • 34548716366 scopus 로고    scopus 로고
    • Semi-analytical solution for three-dimensional vibration of functionally graded circular plates
    • DOI 10.1016/j.cma.2007.06.028, PII S004578250700285X
    • Nie GJ, Zhong Z (2007) Semi-analytical solution for three-dimensional vibration of functionally graded circular plates. Comput Methods Appl Mech Eng 196:4901-4910 (Pubitemid 47423970)
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.49-52 , pp. 4901-4910
    • Nie, G.J.1    Zhong, Z.2
  • 19
    • 36949013033 scopus 로고    scopus 로고
    • Effect of non-homogeneity on natural frequencies of vibration of elliptic plates
    • DOI 10.1007/s11012-007-9077-3
    • Chakraverty S, Jindal R, Agarwal VK (2007) Effect of nonhomogeneity on natural frequencies of vibration of elliptic plates. Meccanica 42:585-599 (Pubitemid 350240965)
    • (2007) Meccanica , vol.42 , Issue.6 , pp. 585-599
    • Chakraverty, S.1    Jindal, R.2    Agarwal, V.K.3
  • 20
    • 42649129729 scopus 로고    scopus 로고
    • Three-dimensional free vibration analysis of functionally graded annular plates using the Chebyshev- Ritz method
    • Dong CY (2008) Three-dimensional free vibration analysis of functionally graded annular plates using the Chebyshev- Ritz method. Mater Des 29:1518-1525
    • (2008) Mater des , vol.29 , pp. 1518-1525
    • Dong, C.Y.1
  • 21
    • 70349753311 scopus 로고    scopus 로고
    • Effect of thermal gradient on vibration of non-homogeneous visco-elastic elliptic plate of variable thickness
    • Gupta AK, Kumar L (2009) Effect of thermal gradient on vibration of non-homogeneous visco-elastic elliptic plate of variable thickness. Meccanica 44:507-518
    • (2009) Meccanica , vol.44 , pp. 507-518
    • Gupta, A.K.1    Kumar, L.2
  • 22
    • 71849104182 scopus 로고    scopus 로고
    • Threedimensional free vibration of thick functionally graded annular plates in thermal environment
    • Malekzadeh P, Shahpari SA, Ziaee HR (2010) Threedimensional free vibration of thick functionally graded annular plates in thermal environment. J Sound Vib 329:425-442
    • (2010) J Sound Vib , vol.329 , pp. 425-442
    • Malekzadeh, P.1    Shahpari, S.A.2    Ziaee, H.R.3
  • 23
    • 33644600149 scopus 로고    scopus 로고
    • Threedimensional free vibration of thick circular plates on Pasternak foundation
    • Zhou D, Lo SH, Au FTK, Cheung YK (2006) Threedimensional free vibration of thick circular plates on Pasternak foundation. J Sound Vib 292:726-741
    • (2006) J Sound Vib , vol.292 , pp. 726-741
    • Zhou, D.1    Lo, S.H.2    Ftk, A.3    Cheung, Y.K.4
  • 24
    • 38849094625 scopus 로고    scopus 로고
    • 3-D free vibration analysis of annular plates on Pasternak elastic foundation via p-Ritz method
    • DOI 10.1016/j.jsv.2007.10.020, PII S0022460X07008097
    • Hosseini Hashemi SH, Rokni Damavandi Taher H, Omidi M (2008) 3-D free vibration analysis of annular plates on Pasternak elastic foundation via p-Ritz method. J Sound Vib 311:1114-1140 (Pubitemid 351187938)
    • (2008) Journal of Sound and Vibration , vol.311 , Issue.3-5 , pp. 1114-1140
    • Hosseini Hashemi, Sh.1    Rokni Damavandi Taher, H.2    Omidi, M.3
  • 25
    • 40849085321 scopus 로고    scopus 로고
    • Two-dimensional elasticity solutions for functionally graded beams resting on elastic foundations
    • DOI 10.1016/j.compstruct.2007.07.004, PII S0263822307001912
    • Ying J, Lü CF, Chen WQ (2008) Two-dimensional elasticity solutions for functionally graded beams on elastic foundations. Compos Struct 84:209-219 (Pubitemid 351396257)
    • (2008) Composite Structures , vol.84 , Issue.3 , pp. 209-219
    • Ying, J.1    Lu, C.F.2    Chen, W.Q.3
  • 26
    • 59649093500 scopus 로고    scopus 로고
    • Thermo-mechanical vibration of FGM sandwich beam under variable elastic foundations using differential quadrature method
    • Pradhan SC, Murmu T (2009) Thermo-mechanical vibration of FGM sandwich beam under variable elastic foundations using differential quadrature method. J Sound Vib 321:342-362
    • (2009) J Sound Vib , vol.321 , pp. 342-362
    • Pradhan, S.C.1    Murmu, T.2
  • 27
    • 42649136213 scopus 로고    scopus 로고
    • Benchmark solutions for functionally graded thick plates resting on Winkler-Pasternak elastic foundations
    • DOI 10.1016/j.compstruct.2007.10.010, PII S0263822307002449
    • Huang ZY, Lü CF, Chen WQ (2008) Benchmark solutions for functionally graded thick plates resting on Winkler- Pasternak elastic foundations. Compos Struct 85:95-104 (Pubitemid 351598110)
    • (2008) Composite Structures , vol.85 , Issue.2 , pp. 95-104
    • Huang, Z.Y.1    Lu, C.F.2    Chen, W.Q.3
  • 28
    • 0029724421 scopus 로고    scopus 로고
    • Differential quadrature method in computational mechanics: A review
    • Bert CW, Malik M (1996) Differential quadrature method in computational mechanics: a review. Appl Mech Rev 49:1-27 (Pubitemid 126614778)
    • (1996) Applied Mechanics Reviews , vol.49 , Issue.1 , pp. 1-27
    • Bert, C.W.1    Malik, M.2
  • 29
    • 36749026229 scopus 로고    scopus 로고
    • Differential quadrature large amplitude free vibration analysis of laminated skew plates based on FSDT
    • DOI 10.1016/j.compstruct.2007.04.007, PII S026382230700116X
    • Malekzadeh P (2008) Differential quadrature large amplitude free vibration analysis of laminated skew plates based on FSDT. Compos Struct 83:189-200 (Pubitemid 350215235)
    • (2008) Composite Structures , vol.83 , Issue.2 , pp. 189-200
    • Malekzadeh, P.1
  • 30
    • 43049168901 scopus 로고    scopus 로고
    • A hybrid layerwise and differential quadrature method for inplane free vibration of laminated thick circular arches
    • Malekzadeh P, Setoodeh AR, Barmshouri E (2008) A hybrid layerwise and differential quadrature method for inplane free vibration of laminated thick circular arches. J Sound Vib 315:215-225
    • (2008) J Sound Vib , vol.315 , pp. 215-225
    • Malekzadeh, P.1    Setoodeh, A.R.2    Barmshouri, E.3
  • 31
    • 36148971641 scopus 로고    scopus 로고
    • Nonlinear free vibration of tapered Mindlin plates with edges elastically restrained against rotation using DQM
    • DOI 10.1016/j.tws.2007.08.016, PII S0263823107002157
    • Malekzadeh P (2008) Nonlinear free vibration of tapered Mindlin plates with edges elastically restrained against rotation using DQM. Thin-Walled Struct 46:11-26 (Pubitemid 350116333)
    • (2008) Thin-Walled Structures , vol.46 , Issue.1 , pp. 11-26
    • Malekzadeh, P.1
  • 32
    • 67349101563 scopus 로고    scopus 로고
    • Free vibration analysis of functionally graded panels and shells of revolution
    • Tornabene F, Viola E (2009) Free vibration analysis of functionally graded panels and shells of revolution. Meccanica 44:255-281
    • (2009) Meccanica , vol.44 , pp. 255-281
    • Tornabene, F.1    Viola, E.2


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