메뉴 건너뛰기




Volumn 30, Issue 3, 2011, Pages 442-448

Static analysis of rectangular thick plates resting on two-parameter elastic boundary strips

Author keywords

Bending analysis; Generalized Differential Quadrature; Pasternak foundation strips; Rectangular plate; Reissner plate

Indexed keywords

BENDING ANALYSIS; GENERALIZED DIFFERENTIAL QUADRATURE; PASTERNAK FOUNDATION STRIPS; RECTANGULAR PLATES; REISSNER PLATES;

EID: 79953026791     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2010.12.016     Document Type: Article
Times cited : (12)

References (32)
  • 1
    • 0345832022 scopus 로고    scopus 로고
    • Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns
    • DOI 10.1016/j.engstruct.2003.09.005
    • Ö. Civalek Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns Eng. Struct. 26 2 2004 171 186 (Pubitemid 38092752)
    • (2004) Engineering Structures , vol.26 , Issue.2 , pp. 171-186
    • Civalek, O.1
  • 2
    • 33646739297 scopus 로고    scopus 로고
    • Harmonic differential quadrature-finite differences coupled approaches for geometrically nonlinear static and dynamic analysis of rectangular plates on elastic foundation
    • Ö. Civalek Harmonic differential quadrature-finite differences coupled approaches for geometrically nonlinear static and dynamic analysis of rectangular plates on elastic foundation J. Sound Vib. 294 2006 966 980
    • (2006) J. Sound Vib. , vol.294 , pp. 966-980
    • Civalek, Ö.1
  • 3
    • 33750828363 scopus 로고    scopus 로고
    • Nonlinear analysis of thin rectangular plates on Winkler-Pasternak elastic foundations by DSC-HDQ methods
    • DOI 10.1016/j.apm.2005.11.023, PII S0307904X0500257X
    • Ö. Civalek Nonlinear analysis of thin rectangular plates on Winkler-Pasternak elastic foundations by DSC-HDQ methods Appl. Math. Model. 31 2007 606 624 (Pubitemid 44712654)
    • (2007) Applied Mathematical Modelling , vol.31 , Issue.3 , pp. 606-624
    • Civalek, O.1
  • 4
    • 0022219830 scopus 로고
    • Boundary element method applied to plates on elastic foundations
    • DOI 10.1016/0264-682X(85)90029-2
    • J.A. Costa, and C.A. Brebbia The boundary element method applied to plates on elastic foundation Eng. Anal. 2 1985 174 183 (Pubitemid 16462225)
    • (1985) Engineering Analysis , vol.2 , Issue.4 , pp. 174-183
    • Costa Jr., J.A.1    Brebbia, C.A.2
  • 5
    • 0029778546 scopus 로고    scopus 로고
    • A modified Kirchhoff theory for boundary element analysis of thin plates resting on two-parameter foundation
    • A. El-Zafrany, and S. Fadhil A modified Kirchhoff theory for boundary element analysis of thin plates resting on two-parameter foundation J. Eng. Struct. 18 2 1996 102 114
    • (1996) J. Eng. Struct. , vol.18 , Issue.2 , pp. 102-114
    • El-Zafrany, A.1    Fadhil, S.2
  • 6
    • 0030169336 scopus 로고    scopus 로고
    • Iterative solution of coupled FE/BE discretizations for plate-foundation interaction problems
    • Y.T. Feng, and D.R.J. Owen Iterative solution of coupled FE/BE discretizations for plate-foundation interaction problems Int. J. Numer. Methods Eng. 39 1996 1889 1901 (Pubitemid 126648007)
    • (1996) International Journal for Numerical Methods in Engineering , vol.39 , Issue.11 , pp. 1889-1901
    • Feng, Y.T.1    Owen, D.R.J.2
  • 7
    • 0024983136 scopus 로고
    • Lateral vibration analysis of an initially stressed rectangular thin plate on Pasternak elastic foundation
    • J.A. Gbadeyan Lateral vibration analysis of an initially stressed rectangular plate on Pasternak elastic foundation Model. Simul. Control B: Mech. Therm. Eng., Mater. Resour. Chem. 27 3 1990 9 35 (Pubitemid 20727437)
    • (1990) Modelling, simulation & control. B , vol.27 , Issue.3 , pp. 9-35
    • Gbadeyan, J.A.1
  • 8
    • 0031237844 scopus 로고    scopus 로고
    • Numerical differential quadrature method for Reissner/Mindlin plates on two-parameter foundations
    • PII S0020740397000015
    • J.B. Han, and K.M. Liew Numerical differential quadrature method for Reissner/Mindlin plates on two parameter foundations Int. J. Mech. Sci. 39 9 1997 977 989 (Pubitemid 127382128)
    • (1997) International Journal of Mechanical Sciences , vol.39 , Issue.9 , pp. 977-989
    • Han, J.-B.1    Liew, K.M.2
  • 9
    • 0004969757 scopus 로고
    • Uber die Brucksichtigung der Schubver Zerruhgen in ebehen platten
    • H. Hencky Uber die Brucksichtigung der Schubver Zerruhgen in ebehen platten Ing. Arch. 16 1947 72
    • (1947) Ing. Arch. , vol.16 , pp. 72
    • Hencky, H.1
  • 12
    • 0024915537 scopus 로고
    • Rectangular Mindlin plates on an elastic foundation
    • J. Kobayashi, and K. Sonada Rectangular Mindlin plates on an elastic foundation Int. J. Mech. Sci. 31 1989 679 692
    • (1989) Int. J. Mech. Sci. , vol.31 , pp. 679-692
    • Kobayashi, J.1    Sonada, K.2
  • 13
    • 0033988248 scopus 로고    scopus 로고
    • Canonical exact solutions for Levy-plates on two-parameter foundation using Green's functions
    • DOI 10.1016/S0141-0296(98)00116-3, PII S0141029698001163
    • K.Y. Lam, C.M. Wang, and X.Q. He Canonical exact solution for Levy-plates on two-parameter foundation using Green's functions Int. J. Eng. Struct. 22 2000 364 378 (Pubitemid 30000080)
    • (2000) Engineering Structures , vol.22 , Issue.4 , pp. 364-378
    • Lam, K.Y.1    Wang, C.M.2    He, X.Q.3
  • 14
    • 0034466097 scopus 로고    scopus 로고
    • Rectangular thick plates on Winkler foundation: Differential quadrature element solution
    • DOI 10.1016/S0020-7683(98)00306-0
    • F.-L. Liu Rectangular thick plates on Winkler foundation: differential Quadrature element solution Int. J. Solids Struct. 37 2000 1743 1763 (Pubitemid 32213088)
    • (2000) International Journal of Solids and Structures , vol.37 , Issue.12 , pp. 1743-1763
    • Liu, F.-L.1
  • 15
    • 84973010670 scopus 로고
    • Influence of rotatory inertia and shear on flexural motions of isotopic elastic plates
    • R.D. Mindlin Influence of rotatory inertia and shear on flexural motions of isotopic elastic plates J. Appl. Mech. 18 1951 31 38
    • (1951) J. Appl. Mech. , vol.18 , pp. 31-38
    • Mindlin, R.D.1
  • 16
    • 0005714412 scopus 로고
    • On a new method of analysis of an elastic foundation by means of two foundation constants
    • (in Russian)
    • Pasternak, P.L., 1954. On a new method of analysis of an elastic foundation by means of two foundation constants. Gps. Izd. Lit. po Strait. i Arkh. (in Russian).
    • (1954) Gps. Izd. Lit. Po Strait. i Arkh
    • Pasternak, P.L.1
  • 17
    • 85162732170 scopus 로고
    • On the theory of bending of elastic plates
    • E. Reissner On the theory of bending of elastic plates J. Math. Phys. 23 1944 184
    • (1944) J. Math. Phys. , vol.23 , pp. 184
    • Reissner, E.1
  • 18
    • 85103554891 scopus 로고
    • Effect of transverse shear deformation on elastic plates
    • E. Reissner Effect of transverse shear deformation on elastic plates J. Appl. Mech. 12 1954 69 77
    • (1954) J. Appl. Mech. , vol.12 , pp. 69-77
    • Reissner, E.1
  • 19
    • 0028183817 scopus 로고
    • Rectangular thick plate with free edges on Pasternak Foundation
    • X.P. Shi, S.A. Tan, and T.F. Fwa Rectangular thick plate with free edges on the Pasternak foundation J. Eng. Mech., ASCE 120 1994 971 988 (Pubitemid 24431701)
    • (1994) Journal of Engineering Mechanics - ASCE , vol.120 , Issue.5 , pp. 971-988
    • Shi, X.P.1    Tan, S.A.2    Fwa, T.F.3
  • 21
    • 0035918609 scopus 로고    scopus 로고
    • Numerical study of grid distribution effect on accuracy of DQ analysis of beams and plates by error estimation of derivative approximation
    • DOI 10.1002/nme.150
    • C. Shu, H. Chen, Xue, and H. Du Numerical study of grid distribution effect on accuracy of DQ analysis of beams and plates by error estimation of derivative approximation Int. J. Numer. Methods Eng. 51 2001 159 179 (Pubitemid 32386805)
    • (2001) International Journal for Numerical Methods in Engineering , vol.51 , Issue.2 , pp. 159-179
    • Shu, C.1    Chen, W.2    Xue, H.3    Du, H.4
  • 22
    • 0016962647 scopus 로고
    • Thick plates on an elastic foundation by finite elements
    • O.J. Svec Thick plates on an elastic foundation by finite elements J. Eng. Mech., ASCE 102 1976 461 477
    • (1976) J. Eng. Mech., ASCE , vol.102 , pp. 461-477
    • Svec, O.J.1
  • 24
    • 0036609046 scopus 로고    scopus 로고
    • Differential cubature method for analysis of shear deformable rectangular plates on Pasternak foundations
    • DOI 10.1016/S0020-7403(02)00034-6, PII S0020740302000346
    • T.M. Teo, and K.M. Liew Differential cubature method for analysis of shear deformable rectangular plates on Pasternak foundation Int. J. Mech. Sci. 44 2002 1179 1194 (Pubitemid 34715776)
    • (2002) International Journal of Mechanical Sciences , vol.44 , Issue.6 , pp. 1179-1194
    • Teo, T.M.1    Liew, K.M.2
  • 26
    • 50549083723 scopus 로고    scopus 로고
    • 2-D solution for free vibrations of parabolic shells using generalized differential quadrature method
    • F. Tornabene, and E. Viola 2-D solution for free vibrations of parabolic shells using generalized differential quadrature method Eur. J. Mech. A/Solids 27 6 2008 1001 1025
    • (2008) Eur. J. Mech. A/Solids , vol.27 , Issue.6 , pp. 1001-1025
    • Tornabene, F.1    Viola, E.2
  • 27
    • 0022810715 scopus 로고
    • Thick rectangular plates on an elastic foundation
    • G.Z. Voyiadjis, and P.I. Kattan Thick rectangular plates on an elastic foundation J. Eng. Mech., ASCE 112 1986 1218 1240
    • (1986) J. Eng. Mech., ASCE , vol.112 , pp. 1218-1240
    • Voyiadjis, G.Z.1    Kattan, P.I.2
  • 28
    • 0026624244 scopus 로고
    • Fundamental solutions and boundary integral equations for Reissner's plates on two parameter foundation
    • J. Wang, X. Wang, and M. Huang Fundamental solutions and boundary integral equations for Reissner's plates on two parameter foundation Int. J. Solids Struct. 29 1992 1233 1239
    • (1992) Int. J. Solids Struct. , vol.29 , pp. 1233-1239
    • Wang, J.1    Wang, X.2    Huang, M.3
  • 30
    • 79953029550 scopus 로고
    • The state of stress in thick elastic plates
    • S. Woinowsky-Krieger The state of stress in thick elastic plates Ing. Arch. 4 1931 305 331 (in German)
    • (1931) Ing. Arch. , vol.4 , pp. 305-331
    • Woinowsky-Krieger, S.1
  • 31
    • 77955329030 scopus 로고    scopus 로고
    • DSC-Ritz element method for vibration analysis of rectangular Mindlin plates with mixed edge supports
    • Y. Xiang, S.K. Lai, L. Zhou, and C.W. Lim DSC-Ritz element method for vibration analysis of rectangular Mindlin plates with mixed edge supports Eur. J. Mech. A/Solids 29 4 2010 619 628
    • (2010) Eur. J. Mech. A/Solids , vol.29 , Issue.4 , pp. 619-628
    • Xiang, Y.1    Lai, S.K.2    Zhou, L.3    Lim, C.W.4
  • 32
    • 0028413252 scopus 로고
    • Exact vibration solution for initially stressed Mindlin plates on Pasternak foundations
    • Y. Xiang, C.M. Wang, and S. Kitipornchai Exact vibration solution for initially stressed Mindlin plates on Pasternak foundations Int. J. Mech. Sci. 36 1994 311 316
    • (1994) Int. J. Mech. Sci. , vol.36 , pp. 311-316
    • Xiang, Y.1    Wang, C.M.2    Kitipornchai, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.