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Volumn 82, Issue 9-10, 2004, Pages 689-701

Large-amplitude vibration of an initially stressed plate on elastic foundations

Author keywords

Large amplitude vibration; Non uniform initial stress; Pasternak foundation; Winkler foundation

Indexed keywords

ELASTICITY; LINEAR SYSTEMS; MATRIX ALGEBRA; PARTIAL DIFFERENTIAL EQUATIONS; POISSON RATIO; RESIDUAL STRESSES; VIBRATIONS (MECHANICAL);

EID: 1842607044     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2004.02.018     Document Type: Article
Times cited : (13)

References (37)
  • 1
    • 85143679579 scopus 로고
    • Influence of large amplitudes on free flexural vibrations of elastic plates
    • Chauhan H.N., Herrmann G. Influence of large amplitudes on free flexural vibrations of elastic plates. J. Appl. Mech. 23:1956;532-540.
    • (1956) J. Appl. Mech. , vol.23 , pp. 532-540
    • Chauhan, H.N.1    Herrmann, G.2
  • 2
    • 0006687104 scopus 로고
    • Small and large amplitude free vibrations of square shallow shells
    • Chauhan A.P., Ashwell D.G. Small and large amplitude free vibrations of square shallow shells. Int. J. Mech. Sci. 11:1969;337-350.
    • (1969) Int. J. Mech. Sci. , vol.11 , pp. 337-350
    • Chauhan, A.P.1    Ashwell, D.G.2
  • 3
    • 0018444459 scopus 로고
    • Effects of large amplitude shear and rotatory inertia on vibration of rectangular plates
    • Sathyamoorthy M. Effects of large amplitude shear and rotatory inertia on vibration of rectangular plates. J. Sound Vib. 63:1979;161-167.
    • (1979) J. Sound Vib. , vol.63 , pp. 161-167
    • Sathyamoorthy, M.1
  • 4
    • 84930776505 scopus 로고
    • New approach to the analysis of large deflections of plates
    • Berger H.M. New approach to the analysis of large deflections of plates. J. Appl. Mech. 22:1955;465-472.
    • (1955) J. Appl. Mech. , vol.22 , pp. 465-472
    • Berger, H.M.1
  • 5
    • 0020141379 scopus 로고
    • Nonlinear oscillations of laminated, anisotropic, rectangular plates
    • Reddy J.N., Chao W.C. Nonlinear oscillations of laminated, anisotropic, rectangular plates. Trans. Am. Soc. Mech. Engrs. 49:1982;396-402.
    • (1982) Trans. Am. Soc. Mech. Engrs. , vol.49 , pp. 396-402
    • Reddy, J.N.1    Chao, W.C.2
  • 6
    • 0021857259 scopus 로고
    • Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory
    • Reddy J.N., Phan N.D. Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory. J. Sound Vib. 98:1985;157-170.
    • (1985) J. Sound Vib. , vol.98 , pp. 157-170
    • Reddy, J.N.1    Phan, N.D.2
  • 7
    • 0031121341 scopus 로고    scopus 로고
    • Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method - I: The fundamental mode of isotropic plates
    • Han W. Geometrically nonlinear vibration analysis of thin, rectangular plates using the hierarchical finite element method - I: the fundamental mode of isotropic plates. Comput. Struct. 63:1997;95-308.
    • (1997) Comput. Struct. , vol.63 , pp. 95-308
    • Han, W.1
  • 8
    • 0031142628 scopus 로고    scopus 로고
    • Computational formulation for periodic vibration of geometrically nonlinear structures - Part 1: Theoretical background
    • Lewandowski R. Computational formulation for periodic vibration of geometrically nonlinear structures - part 1: theoretical background. Int. J. Solids Struct. 34:1997;1925-1947.
    • (1997) Int. J. Solids Struct. , vol.34 , pp. 1925-1947
    • Lewandowski, R.1
  • 9
    • 0016387761 scopus 로고
    • Large amplitude vibration of some moderately thick structural elements
    • Singh P.N., Sundarajan V., Das Y.C. Large amplitude vibration of some moderately thick structural elements. J. Sound Vib. 36:1974;375-387.
    • (1974) J. Sound Vib. , vol.36 , pp. 375-387
    • Singh, P.N.1    Sundarajan, V.2    Das, Y.C.3
  • 10
    • 0001679021 scopus 로고
    • Large-amplitude vibration of thin plates
    • Pillai S.R.R., Rao B.N. Large-amplitude vibration of thin plates. J. Sound Vib. 149:1991;509-512.
    • (1991) J. Sound Vib. , vol.149 , pp. 509-512
    • Pillai, S.R.R.1    Rao, B.N.2
  • 11
    • 0026420056 scopus 로고
    • Improved solution for the non-linear vibration of simply supported rectangular cross-ply plates
    • Pillai S.R.R., Rao B.N. Improved solution for the non-linear vibration of simply supported rectangular cross-ply plates. J. Sound Vib. 150:1991;517-519.
    • (1991) J. Sound Vib. , vol.150 , pp. 517-519
    • Pillai, S.R.R.1    Rao, B.N.2
  • 12
    • 0033889867 scopus 로고    scopus 로고
    • Linear and geometrically nonlinear vibrations of fiber reinforced laminated plates and shallow shells
    • Sinfh A.V. Linear and geometrically nonlinear vibrations of fiber reinforced laminated plates and shallow shells. Comput. Struct. 76:2000;277-285.
    • (2000) Comput. Struct. , vol.76 , pp. 277-285
    • Sinfh, A.V.1
  • 13
    • 0033745567 scopus 로고    scopus 로고
    • Vibration of prismatic beam on an elastic foundation by the differential quadrature element method
    • Chen C.N. Vibration of prismatic beam on an elastic foundation by the differential quadrature element method. Comput. Struct. 77:2000;1-9.
    • (2000) Comput. Struct. , vol.77 , pp. 1-9
    • Chen, C.N.1
  • 14
    • 0034778185 scopus 로고    scopus 로고
    • Analysis of plate resting on elastic supports and elastic foundation by finite strip method
    • Huang M.H., Thambiratnam D.P. Analysis of plate resting on elastic supports and elastic foundation by finite strip method. Comput. Struct. 79:2001;2547-2557.
    • (2001) Comput. Struct. , vol.79 , pp. 2547-2557
    • Huang, M.H.1    Thambiratnam, D.P.2
  • 15
    • 0031274159 scopus 로고    scopus 로고
    • The mixed finite element formulation for the thick plates on elastic foundations
    • Eratll N., Akoz A.Y. The mixed finite element formulation for the thick plates on elastic foundations. Comput. Struct. 65:1997;515-529.
    • (1997) Comput. Struct. , vol.65 , pp. 515-529
    • Eratll, N.1    Akoz, A.Y.2
  • 16
    • 0030392026 scopus 로고    scopus 로고
    • Vibration analysis of Timoshenko beam-columns on two-parameter elastic foundation
    • Yokoyama T. Vibration analysis of Timoshenko beam-columns on two-parameter elastic foundation. Comput. Struct. 61(6):1996;995-1007.
    • (1996) Comput. Struct. , vol.61 , Issue.6 , pp. 995-1007
    • Yokoyama, T.1
  • 17
    • 0032064871 scopus 로고    scopus 로고
    • Free vibration analysis of orthotropic plates resting on Pasternak foundation by mixed finite element formulation
    • Omurtag M.H., Kadioglu F. Free vibration analysis of orthotropic plates resting on Pasternak foundation by mixed finite element formulation. Comput. Struct. 67:1998;253-265.
    • (1998) Comput. Struct. , vol.67 , pp. 253-265
    • Omurtag, M.H.1    Kadioglu, F.2
  • 18
    • 0031550205 scopus 로고    scopus 로고
    • Analysis of orthotropic plate-foundation interaction by mixed finite element formulation using GâTeaux differential
    • Özcelikörs Y., Omurtag M.H., Demir H. Analysis of orthotropic plate-foundation interaction by mixed finite element formulation using GâTeaux differential. Compos. Struct. 62(1):1997;93-106.
    • (1997) Compos. Struct. , vol.62 , Issue.1 , pp. 93-106
    • Özcelikörs, Y.1    Omurtag, M.H.2    Demir, H.3
  • 19
    • 0033359548 scopus 로고    scopus 로고
    • Nonlinear free flexural vibrations/post-buckling analysis of laminated orthotropic beams/columns on a two parameter elastic foundation
    • Patel B.P., Ganapathi M., Touratier M. Nonlinear free flexural vibrations/post-buckling analysis of laminated orthotropic beams/columns on a two parameter elastic foundation. Compos. Struct. 46:1999;189-196.
    • (1999) Compos. Struct. , vol.46 , pp. 189-196
    • Patel, B.P.1    Ganapathi, M.2    Touratier, M.3
  • 20
    • 0038331413 scopus 로고
    • Postbuckling analysis of orthotropic rectangular plates on nonlinear elastic foundations
    • Shen H.S. Postbuckling analysis of orthotropic rectangular plates on nonlinear elastic foundations. Eng. Struct. 17(6):1995;407-412.
    • (1995) Eng. Struct. , vol.17 , Issue.6 , pp. 407-412
    • Shen, H.S.1
  • 21
    • 0041972949 scopus 로고
    • Postbuckling analysis of imperfect composite laminated plates on nonlinear elastic foundations
    • Shen H.S., Williams F.W. Postbuckling analysis of imperfect composite laminated plates on nonlinear elastic foundations. Int. J. Nonlinear Mech. 30(5):1995;651-659.
    • (1995) Int. J. Nonlinear Mech. , vol.30 , Issue.5 , pp. 651-659
    • Shen, H.S.1    Williams, F.W.2
  • 22
    • 0029634517 scopus 로고
    • Nonlinear buckling of a structure with random imperfection and random axial compression by a conditional simulation technique
    • Li Y.W., Elishakoff J.H., Starnes J., Shinozuka M. Nonlinear buckling of a structure with random imperfection and random axial compression by a conditional simulation technique. Comput. Struct. 56(1):1995;59-64.
    • (1995) Comput. Struct. , vol.56 , Issue.1 , pp. 59-64
    • Li, Y.W.1    Elishakoff, J.H.2    Starnes, J.3    Shinozuka, M.4
  • 23
    • 0031599185 scopus 로고    scopus 로고
    • Thermomechanical postbuckling of geometrically imperfect shear-deformable flat and curved panels on a nonlinear elastic foundation
    • Lin W., Librescu L. Thermomechanical postbuckling of geometrically imperfect shear-deformable flat and curved panels on a nonlinear elastic foundation. Int. J. Eng. Sci. 36(2):1998;189-206.
    • (1998) Int. J. Eng. Sci. , vol.36 , Issue.2 , pp. 189-206
    • Lin, W.1    Librescu, L.2
  • 24
    • 0034230641 scopus 로고    scopus 로고
    • The dual variational principle and equilibria for a beam resting on a discontinuous nonlinear elastic foundation
    • Grossinho M.R., Tersian A. The dual variational principle and equilibria for a beam resting on a discontinuous nonlinear elastic foundation. Nonlinear Anal. 41:2000;417-431.
    • (2000) Nonlinear Anal. , vol.41 , pp. 417-431
    • Grossinho, M.R.1    Tersian, A.2
  • 25
    • 1842523297 scopus 로고
    • Traveling loads on viscoelastic plates on nonlinear foundations
    • Padovan J. Traveling loads on viscoelastic plates on nonlinear foundations. J. Appl. Mech. 44:1977;677-682.
    • (1977) J. Appl. Mech. , vol.44 , pp. 677-682
    • Padovan, J.1
  • 26
    • 0030105335 scopus 로고    scopus 로고
    • Free vibration and stability behaviour of uniform beams and columns on nonlinear elastic foundation
    • Naidu N.R., Rao G.V. Free vibration and stability behaviour of uniform beams and columns on nonlinear elastic foundation. Comput. Struct. 58(6):1996;1213-1215.
    • (1996) Comput. Struct. , vol.58 , Issue.6 , pp. 1213-1215
    • Naidu, N.R.1    Rao, G.V.2
  • 27
    • 0032074538 scopus 로고    scopus 로고
    • Two-dimensional modulation and instabilities of flexural waves of a thin plate on nonlinear elastic foundation
    • Collet B., Pouget J. Two-dimensional modulation and instabilities of flexural waves of a thin plate on nonlinear elastic foundation. Wave Motion. 27:1998;341-354.
    • (1998) Wave Motion , vol.27 , pp. 341-354
    • Collet, B.1    Pouget, J.2
  • 28
    • 0030567489 scopus 로고    scopus 로고
    • Reliability of structures subject to normally distributed initial imperfections
    • Ikeda K., Murota K., Elishakoff I. Reliability of structures subject to normally distributed initial imperfections. Comput. Struct. 59(3):1996;463-469.
    • (1996) Comput. Struct. , vol.59 , Issue.3 , pp. 463-469
    • Ikeda, K.1    Murota, K.2    Elishakoff, I.3
  • 29
    • 0032272694 scopus 로고    scopus 로고
    • Nonlinear vibration of thin plates with initial stress by spline finite strip method
    • Cheung Y.K., Zhu D.S., Iu V.P. Nonlinear vibration of thin plates with initial stress by spline finite strip method. Thin-Walled Struct. 32:1998;275-287.
    • (1998) Thin-walled Struct. , vol.32 , pp. 275-287
    • Cheung, Y.K.1    Zhu, D.S.2    Iu, V.P.3
  • 30
    • 0020720188 scopus 로고
    • Nonlinear vibrations of a clamped rectangular plate with initial deflection and initial edge displacement - Part I: Theory
    • Yamaki N., Chiba M. Nonlinear vibrations of a clamped rectangular plate with initial deflection and initial edge displacement - part I: theory. Thin-Walled Struct. 1:1983;3-29.
    • (1983) Thin-walled Struct. , vol.1 , pp. 3-29
    • Yamaki, N.1    Chiba, M.2
  • 31
    • 0020804930 scopus 로고
    • Large amplitude vibration of an initially stressed moderately thick plate
    • Chen L.W., Doong J.L. Large amplitude vibration of an initially stressed moderately thick plate. J. Sound Vib. 89:1983;499-508.
    • (1983) J. Sound Vib. , vol.89 , pp. 499-508
    • Chen, L.W.1    Doong, J.L.2
  • 32
    • 0020826891 scopus 로고
    • Large amplitude vibration of an initially stressed thick circular plate
    • Chen L.W., Doong J.L. Large amplitude vibration of an initially stressed thick circular plate. Am. Inst. Aeronaut. Astronaut. J. 21:1983;1317-1324.
    • (1983) Am. Inst. Aeronaut. Astronaut. J. , vol.21 , pp. 1317-1324
    • Chen, L.W.1    Doong, J.L.2
  • 33
    • 58149325987 scopus 로고
    • Large amplitude vibration of plates according to higher order deformation theory
    • Chen C.S., Lai J.Y., Doong J.L. Large amplitude vibration of plates according to higher order deformation theory. J. Sound Vib. 188:1995;149-166.
    • (1995) J. Sound Vib. , vol.188 , pp. 149-166
    • Chen, C.S.1    Lai, J.Y.2    Doong, J.L.3
  • 34
    • 0035834480 scopus 로고    scopus 로고
    • Nonlinear vibration of an initially stressed plate based on a modified plate theory
    • Chen C.S., Hwang J.R., Doong J.L. Nonlinear vibration of an initially stressed plate based on a modified plate theory. Int. J. Solids Struct. 38:2001;8563-8583.
    • (2001) Int. J. Solids Struct. , vol.38 , pp. 8563-8583
    • Chen, C.S.1    Hwang, J.R.2    Doong, J.L.3
  • 35
    • 0036722089 scopus 로고    scopus 로고
    • Large amplitude vibration of an initially stressed cross ply laminated plates
    • Chen C.S., Cheng W.S., Chien R.D., Doong J.L. Large amplitude vibration of an initially stressed cross ply laminated plates. Appl. Acoust. 63:2002;939-956.
    • (2002) Appl. Acoust. , vol.63 , pp. 939-956
    • Chen, C.S.1    Cheng, W.S.2    Chien, R.D.3    Doong, J.L.4
  • 36
    • 0016092107 scopus 로고
    • Initially stressed mindlin plates
    • Brunell E.J., Robertson S.R. Initially stressed mindlin plates. AIAA J. 12:1974;1036-1045.
    • (1974) AIAA J. , vol.12 , pp. 1036-1045
    • Brunell, E.J.1    Robertson, S.R.2
  • 37
    • 0017301244 scopus 로고
    • Vibrations of an initially stressed thick
    • Brunell E.J., Robertson S.R. Vibrations of an initially stressed thick. J. Sound Vib. 45:1976;405-416.
    • (1976) J. Sound Vib. , vol.45 , pp. 405-416
    • Brunell, E.J.1    Robertson, S.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.