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Volumn 223, Issue 1, 2012, Pages 43-62

3-D Free vibration analysis of thick functionally graded annular plates on Pasternak elastic foundation via differential quadrature method (DQM)

Author keywords

[No Author keywords available]

Indexed keywords

ANNULAR PLATE; COMPARISON STUDY; DIFFERENT BOUNDARY CONDITION; DIFFERENTIAL QUADRATURE METHODS; ELASTIC COEFFICIENT; ELASTIC FOUNDATION; FAST RATE; FREE VIBRATION; FREE-VIBRATION ANALYSIS; FUNCTIONALLY GRADED; GEOMETRICAL PARAMETERS; MATERIAL PROPERTY; NEW RESULTS; PASTERNAK; POWER LAW; SEMI-ANALYTICAL; SERIES SOLUTIONS; THREE-DIMENSIONAL THEORY OF ELASTICITY; TWO-PARAMETER MODELS;

EID: 84856027036     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-011-0543-6     Document Type: Article
Times cited : (58)

References (30)
  • 1
    • 0030141309 scopus 로고    scopus 로고
    • Small and large deformation of thick and thin-film multi-layers : Effects of layer geometry, plasticity and compositional gradients
    • DOI 10.1016/0022-5096(96)84548-0, PII S00225096960000063
    • Finot M., Suresh S.: Small and large deformation of thick and thin-film multilayers: effect of layer geometry, plasticity and compositional gradients. J. Mech. Phys. Solids 44, 683-721 (1996) (Pubitemid 126359297)
    • (1996) Journal of the Mechanics and Physics of Solids , vol.44 , Issue.5 , pp. 683-721
    • Finot, M.1    Suresh, S.2
  • 2
    • 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.: Asymmetric flexural vibration and thermoelastic stability of FGM circular plates using finite element method. Compos. B. Eng. 37, 642-649 (2006) (Pubitemid 44128904)
    • (2006) Composites Part B: Engineering , vol.37 , Issue.7-8 , pp. 642-649
    • Prakash, T.1    Ganapathi, M.2
  • 3
    • 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., Eisenberger M.: Exact vibration analysis of variable thickness thick annular isotropic and FGM plates. J. Sound Vib. 299, 720-738 (2007) (Pubitemid 44692287)
    • (2007) Journal of Sound and Vibration , vol.299 , Issue.4-5 , pp. 720-738
    • Efraim, E.1    Eisenberger, M.2
  • 4
    • 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 G.J., Zhong Z.: Semi-analytical solution for three-dimensional vibration of functionally graded circular plates. Comput. Methods Appl. Mech. Eng. 196, 4901-4910 (2007) (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
  • 5
    • 42649129729 scopus 로고    scopus 로고
    • Three-dimensional free vibration analysis of functionally graded annular plates using the Chebyshev-Ritz method
    • 10.1016/j.matdes.2008.03.001
    • Dong C.Y.: Three-dimensional free vibration analysis of functionally graded annular plates using the Chebyshev-Ritz method. Mater. Des. 29, 1518-1525 (2008)
    • (2008) Mater. Des. , vol.29 , pp. 1518-1525
    • Dong, C.Y.1
  • 6
    • 0001453419 scopus 로고
    • Effect of elastic foundation on axisymmetric vibrations of polar orthotropic circular plates of variable thickness
    • 10.1016/0022-460X(90)90679-T
    • Gupta U.S., Lal R., Jain S.K.: Effect of elastic foundation on axisymmetric vibrations of polar orthotropic circular plates of variable thickness. J. Sound Vib. 139, 503-513 (1990)
    • (1990) J. Sound Vib. , vol.139 , pp. 503-513
    • Gupta, U.S.1    Lal, R.2    Jain, S.K.3
  • 7
    • 0026419436 scopus 로고
    • Free vibrations of a solid circular plate of linearly varying thickness and attached to a winkler foundation
    • DOI 10.1016/0022-460X(91)90738-6
    • Laura P.A.A., Gutierrez R.H.: Free vibrations of a solid circular plate of linearly varying thickness and attached to Winkler foundation. J. Sound Vib. 144, 149-161 (1991) (Pubitemid 21671700)
    • (1991) Journal of Sound and Vibration , vol.144 , Issue.1 , pp. 149-161
    • Laura, P.A.A.1    Gutierrez, R.H.2
  • 8
    • 21844487726 scopus 로고
    • Effect of an elastic foundation on axisymmetric vibrations of polar orthotropic Mindlin circular plates. Indian
    • 0814.73035
    • Gupta U.S., Lal R., Sagar R.: Effect of an elastic foundation on axisymmetric vibrations of polar orthotropic Mindlin circular plates. Indian. J. Pure Appl. Math. 25, 1317-1326 (1994)
    • (1994) J. Pure Appl. Math. , vol.25 , pp. 1317-1326
    • Gupta, U.S.1    Lal, R.2    Sagar, R.3
  • 9
    • 0028413252 scopus 로고
    • Exact vibration solution for initially stressed Mindlin plates on Pasternak foundations
    • 10.1016/0020-7403(94)90037-X 0799.73048
    • Xiang Y., Wang C.M., Kitipornchai S.: Exact vibration solution for initially stressed Mindlin plates on Pasternak foundations. Int. J. Mech. Sci. 36, 311-316 (1994)
    • (1994) Int. J. Mech. Sci. , vol.36 , pp. 311-316
    • Xiang, Y.1    Wang, C.M.2    Kitipornchai, S.3
  • 10
    • 0029639461 scopus 로고
    • Free vibration of plates with stepped variations in thickness on non-homogeneous elastic foundations
    • 10.1006/jsvi.1995.0269 0966.74502
    • Ju F., Lee H.P.K.H.: Free vibration of plates with stepped variations in thickness on non-homogeneous elastic foundations. J. Sound Vib. 183, 533-545 (1995)
    • (1995) J. Sound Vib. , vol.183 , pp. 533-545
    • Ju, F.1    Lee, H.P.K.H.2
  • 11
    • 0002657714 scopus 로고    scopus 로고
    • Buckling and vibration of thick laminates on pasternak foundations
    • Xiang Y., Kitipornchai S., Liew K.M.: Buckling and vibration of thick laminates on Pasternak foundations. J. Eng. Mech. ASCE 122, 54-63 (1996) (Pubitemid 126544374)
    • (1996) Journal of Engineering Mechanics , vol.122 , Issue.1 , pp. 54-63
    • Xiang, Y.1    Kitipornchai, S.2    Liew, K.M.3
  • 12
    • 0033683466 scopus 로고    scopus 로고
    • Vibration and stability of, thick plates on elastic foundations
    • 10.1061/(ASCE)0733-9399(2000)126:1(27)
    • Matsunaga H.: Vibration and stability of, thick plates on elastic foundations. J. Eng. Mech. ASCE 126, 27-34 (2000)
    • (2000) J. Eng. Mech. ASCE , vol.126 , pp. 27-34
    • Matsunaga, H.1
  • 13
    • 0037063260 scopus 로고    scopus 로고
    • Effect of elastic foundation on asymmetric vibration of polar orthotropic linearly tapered circular plates
    • DOI 10.1006/jsvi.2000.3518
    • Gupta U.S., Ansari A.H.: Effect of elastic foundation on axisymmetric vibrations of polar orthotropic linearly tapered circular plates. J. Sound Vib. 254, 411-426 (2002) (Pubitemid 35275023)
    • (2002) Journal of Sound and Vibration , vol.254 , Issue.3 , pp. 411-426
    • Gupta, U.S.1    Ansari, A.H.2
  • 14
    • 4344643150 scopus 로고    scopus 로고
    • Vibration of non-uniform thick plates on elastic foundation by differential quadrature method
    • DOI 10.1016/j.engstruct.2004.05.008, PII S0141029604001609
    • Malekzadeh P., Karami G.: Vibration of non-uniform thick plates on elastic foundation by differential quadrature method. Eng. Struct. 26, 1473-1482 (2004) (Pubitemid 39142784)
    • (2004) Engineering Structures , vol.26 , Issue.10 , pp. 1473-1482
    • Malekzadeh, P.1    Karami, G.2
  • 16
    • 33644600149 scopus 로고    scopus 로고
    • Three-dimensional free vibration of thick circular plates on Pasternak foundation
    • 10.1016/j.jsv.2005.08.028
    • Zhou D., Lo S.H., Au F.T.K., Cheung Y.K.: Three-dimensional free vibration of thick circular plates on Pasternak foundation. J. Sound Vib. 292, 726-741 (2006)
    • (2006) J. Sound Vib. , vol.292 , pp. 726-741
    • Zhou, D.1    Lo, S.H.2    Au, F.T.K.3    Cheung, Y.K.4
  • 17
    • 33747349965 scopus 로고    scopus 로고
    • Buckling and vibration of polar orthotropic circular plate resting on Winkler foundation
    • 10.1016/j.jsv.2006.01.073
    • Gupta U.S., Ansari A.H., Sharma S.: Buckling and vibration of polar orthotropic circular plate resting on Winkler foundation. J. Sound Vib. 297, 457-476 (2006)
    • (2006) J. Sound Vib. , vol.297 , pp. 457-476
    • Gupta, U.S.1    Ansari, A.H.2    Sharma, S.3
  • 18
    • 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 S.H., Rokni Damavandi Taher H., Omidi M.: 3-D free vibration analysis of annular plates on Pasternak elastic foundation via p-Ritz method. J. Sound Vib 311, 1114-1140 (2008) (Pubitemid 351187938)
    • (2008) Journal of Sound and Vibration , vol.311 , Issue.3-5 , pp. 1114-1140
    • Hosseini Hashemi, S.H.1    Rokni Damavandi Taher, H.2    Omidi, M.3
  • 19
    • 59049085004 scopus 로고    scopus 로고
    • The validity range of CPT and Mindlin plate theory in comparison with 3-D vibrational analysis of circular plates on the elastic foundation
    • 10.1016/j.euromechsol.2008.07.012 1156.74332
    • Hosseini-Hashemi Sh., Omidi M., Rokni Damavandi Taher H.: The validity range of CPT and Mindlin plate theory in comparison with 3-D vibrational analysis of circular plates on the elastic foundation. Eur. J. Mech. A Solids 28, 289-304 (2009)
    • (2009) Eur. J. Mech. A Solids , vol.28 , pp. 289-304
    • Hosseini-Hashemi, Sh.1    Omidi, M.2    Rokni Damavandi Taher, H.3
  • 20
    • 72149133082 scopus 로고    scopus 로고
    • Vibration analysis of orthotropic rectangular plates on elastic foundations
    • 10.1016/j.compstruct.2009.09.015
    • Ming-Hung Hsu.: Vibration analysis of orthotropic rectangular plates on elastic foundations. Compos. Struct. 92, 844-852 (2010)
    • (2010) Compos. Struct. , vol.92 , pp. 844-852
    • Ming-Hung, H.1
  • 21
    • 70350361951 scopus 로고    scopus 로고
    • Three-dimensional layerwise-finite element free vibration analysis of thick laminated annular plates on elastic foundation
    • 10.1016/j.apm.2009.06.015 1185.74046 2563357
    • Malekzadeh P., Afsari A., Zahedinejad P., Bahadori R.: Three-dimensional layerwise-finite element free vibration analysis of thick laminated annular plates on elastic foundation. Appl. Math. Model. 34, 776-790 (2010)
    • (2010) Appl. Math. Model. , vol.34 , pp. 776-790
    • Malekzadeh, P.1    Afsari, A.2    Zahedinejad, P.3    Bahadori, R.4
  • 22
    • 63449104331 scopus 로고    scopus 로고
    • Three-dimensional free vibration analysis of thick functionally graded plates on elastic foundations
    • 10.1016/j.compstruct.2008.08.007
    • Malekzadeh P.: Three-dimensional free vibration analysis of thick functionally graded plates on elastic foundations. Compos. Struct. 89, 367-373 (2009)
    • (2009) Compos. Struct. , vol.89 , pp. 367-373
    • Malekzadeh, P.1
  • 23
    • 70350692270 scopus 로고    scopus 로고
    • Three-dimensional free vibration analysis of functionally graded material plates resting on an elastic foundation
    • (9 pp)
    • Amini, M.H., Soleimani, M., Rastgoo, A.: Three-dimensional free vibration analysis of functionally graded material plates resting on an elastic foundation. Smart Mater. Struct. 180, 85015 (9 pp) (2009)
    • (2009) Smart Mater. Struct. , vol.180 , pp. 85015
    • Amini, M.H.1    Soleimani, M.2    Rastgoo, A.3
  • 24
    • 78649630625 scopus 로고    scopus 로고
    • Free vibration analysis of continuous grading fiber reinforced plates on elastic foundation
    • Yas, M.H., Sobhani Aragh, B.: Free vibration analysis of continuous grading fiber reinforced plates on elastic foundation. Int. J. Eng. Sci. (2010)
    • (2010) Int. J. Eng. Sci.
    • Yas, M.H.1    Sobhani Aragh, B.2
  • 25
    • 73049109042 scopus 로고    scopus 로고
    • Differential quadrature analysis of functionally graded circular and annular sector plates on elastic foundation
    • 10.1016/j.matdes.2009.10.060
    • Hosseini-Hashemi Sh., Akhavan H., Rokni Damavandi Taher H., Daemi N., Alibeigloo A.: Differential quadrature analysis of functionally graded circular and annular sector plates on elastic foundation. Mater. Des. 31, 1871-1880 (2010)
    • (2010) Mater. Des. , vol.31 , pp. 1871-1880
    • Hosseini-Hashemi, Sh.1    Akhavan, H.2    Rokni Damavandi Taher, H.3    Daemi, N.4    Alibeigloo, A.5
  • 26
    • 76349121518 scopus 로고    scopus 로고
    • Vibration analysis of radially FGM sectorial plates of variable thickness on elastic foundations
    • 10.1016/j.compstruct.2009.12.016
    • Hosseini-Hashemi Sh., Rokni Damavandi Taher H., Akhavan H.: Vibration analysis of radially FGM sectorial plates of variable thickness on elastic foundations. Compos. Struct. 92, 1734-1743 (2010)
    • (2010) Compos. Struct. , vol.92 , pp. 1734-1743
    • Hosseini-Hashemi, Sh.1    Rokni Damavandi Taher, H.2    Akhavan, H.3
  • 27
    • 0041517714 scopus 로고    scopus 로고
    • Elasticity solution for free vibration of laminated beams
    • DOI 10.1016/S0263-8223(03)00086-2
    • Chen W.Q., Lv C.F., Bian Z.G.: Elasticity solution for free vibration of laminated beams. Compos. Struct. 62, 75-82 (2003) (Pubitemid 37002539)
    • (2003) Composite Structures , vol.62 , Issue.1 , pp. 75-82
    • Chen, W.Q.1    Lv, C.F.2    Bian, Z.G.3
  • 28
    • 0026939625 scopus 로고
    • Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stoaks equations
    • 10.1002/fld.1650150704
    • Shu C., Richards B.E.: Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stoaks equations. Int. J. Numer. Methods Fluids 15, 8-791 (1992)
    • (1992) Int. J. Numer. Methods Fluids , vol.15 , pp. 8-791
    • Shu, C.1    Richards, B.E.2
  • 29
    • 70350349121 scopus 로고    scopus 로고
    • Dynamic analysis of multi-directional functionally graded annular plates
    • 10.1016/j.apm.2009.06.009 1185.74047 2563343
    • Nie G.J., Zhong Z.: Dynamic analysis of multi-directional functionally graded annular plates. Appl. Math. Model. 34, 608-616 (2010)
    • (2010) Appl. Math. Model. , vol.34 , pp. 608-616
    • Nie, G.J.1    Zhong, Z.2
  • 30
    • 0029724421 scopus 로고    scopus 로고
    • Differential quadrature method in computational mechanics: A review
    • Bert C.W., Malik M.: Differential quadrature method in computational mechanics: A review. Appl. Mech. Rev. 49, 1-27 (1996) (Pubitemid 126614778)
    • (1996) Applied Mechanics Reviews , vol.49 , Issue.1 , pp. 1-27
    • Bert, C.W.1    Malik, M.2


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