메뉴 건너뛰기




Volumn 40, Issue 2, 1997, Pages 295-317

Free vibration analysis of kirchhoff plates resting on elastic foundation by mixed finite element formulation based on Gâteaux differential

Author keywords

Dynamic analysis; Finite elements; Foundation; Plate

Indexed keywords

BENDING (DEFORMATION); DYNAMIC RESPONSE; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; FOUNDATIONS; TORSIONAL STRESS; VIBRATIONS (MECHANICAL);

EID: 0030737378     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19970130)40:2<295::AID-NME66>3.0.CO;2-2     Document Type: Article
Times cited : (84)

References (32)
  • 1
    • 0016561535 scopus 로고
    • Mixed finite-element approximation of linear boundary-value problems
    • J. N. Reddy and J. T. Oden, 'Mixed finite-element approximation of linear boundary-value problems', Quar. Appl. Math., 255-280 (1975)
    • (1975) Quar. Appl. Math. , pp. 255-280
    • Reddy, J.N.1    Oden, J.T.2
  • 2
    • 0017916002 scopus 로고
    • Improvement of plate and shell finite elements by mixed finite elements
    • S. W. Lee and T. T. H. Pian, 'Improvement of plate and shell finite elements by mixed finite elements', AIAA J., 16, 29-34 (1978).
    • (1978) AIAA J. , vol.16 , pp. 29-34
    • Lee, S.W.1    Pian, T.T.H.2
  • 3
    • 85007692148 scopus 로고
    • Derivation of element stiffness matrices by assumed stress distributions
    • T.T. H. Pian, 'Derivation of element stiffness matrices by assumed stress distributions', AIAA J., 2,1333-1336 (1964).
    • (1964) AIAA J. , vol.2 , pp. 1333-1336
    • Pian, T.T.H.1
  • 4
    • 84983938964 scopus 로고
    • A historical note about hybrid elements
    • T. T. H. Pian, 'A historical note about hybrid elements', Int. j. numer. methods eng., 12, 891-892, (1978).
    • (1978) Int. J. Numer. Methods Eng. , vol.12 , pp. 891-892
    • Pian, T.T.H.1
  • 5
    • 0020207718 scopus 로고
    • Alternative ways for formulation of hybrid stress elements
    • T. T. H. Pian and D. P. Chen, 'Alternative ways for formulation of hybrid stress elements', Int. j. numer. methods eng., 18, 1679-1684 (1982).
    • (1982) Int. J. Numer. Methods Eng. , vol.18 , pp. 1679-1684
    • Pian, T.T.H.1    Chen, D.P.2
  • 6
    • 0022159229 scopus 로고
    • On an alleged philosopher's stone concerning variational principles with subsidiary conditions
    • H. A. Mang, G. Hofstetter and R. H. Gallagher, 'On an alleged philosopher's stone concerning variational principles with subsidiary conditions', Int. j. numer. methods eng., 21, 1971-1999 (1985).
    • (1985) Int. J. Numer. Methods Eng. , vol.21 , pp. 1971-1999
    • Mang, H.A.1    Hofstetter, G.2    Gallagher, R.H.3
  • 8
    • 0001340242 scopus 로고
    • The mixed finite element formulation for three dimensional bars
    • A. Y. Aköz, M. H. Omurtag and A. N. Dǒgruouǧlu, 'The mixed finite element formulation for three dimensional bars', Int. J. Solids Struct., 28, 225-234 (1991).
    • (1991) Int. J. Solids Struct. , vol.28 , pp. 225-234
    • Aköz, A.Y.1    Omurtag, M.H.2    Dǒgruouǧlu, A.N.3
  • 9
    • 0027110296 scopus 로고
    • Mixed finite element formulation of eccentrically stiffened cylindrical shells
    • M. H. Omurtag and A. Y. Aköz, 'Mixed finite element formulation of eccentrically stiffened cylindrical shells', Comput. Struct., 42, 751-768 (1992).
    • (1992) Comput. Struct. , vol.42 , pp. 751-768
    • Omurtag, M.H.1    Aköz, A.Y.2
  • 10
    • 0026850911 scopus 로고
    • The mixed finite element solution of the helical beams with variable cross section under arbitrary loading
    • M. H. Omurtag and A. Y. Aköz, 'The mixed finite element solution of the helical beams with variable cross section under arbitrary loading', Comput. Struct., 43, 325-331 (1992).
    • (1992) Comput. Struct. , vol.43 , pp. 325-331
    • Omurtag, M.H.1    Aköz, A.Y.2
  • 11
    • 0027678168 scopus 로고
    • A compatible cylindrical shell element for stiffened cylindrical shells in mixed finite element formulation
    • M. H. Omurtag and A. Y. Aköz, 'A compatible cylindrical shell element for stiffened cylindrical shells in mixed finite element formulation', Comput. Struct., 49, 363-370 (1993).
    • (1993) Comput. Struct. , vol.49 , pp. 363-370
    • Omurtag, M.H.1    Aköz, A.Y.2
  • 12
    • 0029634384 scopus 로고
    • Isoparametric mixed finite element formulation of orthotropic cylindrical shells
    • M. H. Omurtag and A. Y. Aköz, 'Isoparametric mixed finite element formulation of orthotropic cylindrical shells', Comput. Struct., 55, 915-924 (1995).
    • (1995) Comput. Struct. , vol.55 , pp. 915-924
    • Omurtag, M.H.1    Aköz, A.Y.2
  • 13
    • 0028498676 scopus 로고
    • Hyperbolic paraboloid shell analysis via mixed finite element formulation
    • M. H. Omurtag and A. Y. Ak̈z, Hyperbolic paraboloid shell analysis via mixed finite element formulation', Int. j. numer. methods eng., 37, 3037-3056 (1994).
    • (1994) Int. J. Numer. Methods Eng. , vol.37 , pp. 3037-3056
    • Omurtag, M.H.1    Ak̈z, A.Y.2
  • 14
    • 0026908119 scopus 로고
    • A new functional for Reissner plates and its application
    • A. Y. Ak̈z and (Eratli) N. Uzcan, 'A new functional for Reissner plates and its application', Comput. Struct., 44, 1139-1144 (1992).
    • (1992) Comput. Struct. , vol.44 , pp. 1139-1144
    • Ak̈z, A.Y.1    Uzcan, N.2
  • 15
    • 0040548230 scopus 로고
    • Functional for Kármán plates and its application
    • Kirazliyayla-Turkey
    • A. Y. Ak̈z, 'Functional for Kármán plates and its application', (In Turkish), VI. National Applied Mechanics Meeting, Kirazliyayla-Turkey, 1989, pp. 74-85.
    • (1989) VI. National Applied Mechanics Meeting , pp. 74-85
    • Ak̈z, A.Y.1
  • 17
    • 0015600156 scopus 로고
    • On the convergence of a mixed finite element scheme for plate bending
    • F. Kikuchi and Y. Ando, 'On the convergence of a mixed finite element scheme for plate bending', Nucl. Eng. Des., 24, 357-373 (1973).
    • (1973) Nucl. Eng. Des. , vol.24 , pp. 357-373
    • Kikuchi, F.1    Ando, Y.2
  • 18
  • 19
    • 0022877899 scopus 로고
    • Vibration of thin shells of revolution based on a mixed finite element formulation
    • W. Altman and E. L. Neto, 'Vibration of thin shells of revolution based on a mixed finite element formulation', Comput. Struct., 23, 291-303 (1986).
    • (1986) Comput. Struct. , vol.23 , pp. 291-303
    • Altman, W.1    Neto, E.L.2
  • 23
    • 85033165855 scopus 로고
    • Discussion of "A simplified method for design of mats on elastic foundations"
    • by S. N. Shukla
    • R. Mician, 'Discussion of "A simplified method for design of mats on elastic foundations" by S. N. Shukla', ACI J., 82, 584-586 (1985).
    • (1985) ACI J. , vol.82 , pp. 584-586
    • Mician, R.1
  • 24
    • 0021494107 scopus 로고
    • A simplified method for design of mats on elastic foundations
    • S. N. Shukla, 'A simplified method for design of mats on elastic foundations', ACI J., 81, 469-475 (1984).
    • (1984) ACI J. , vol.81 , pp. 469-475
    • Shukla, S.N.1
  • 26
    • 0002277941 scopus 로고
    • Plate vibration research 1976-1980: Classical theory
    • A. W. Leissa, 'Plate vibration research 1976-1980: classical theory', Shock Vibration Digest, 13, 11-36 (1981).
    • (1981) Shock Vibration Digest , vol.13 , pp. 11-36
    • Leissa, A.W.1
  • 27
    • 0027625707 scopus 로고
    • A nine node spline element for free vibration analysis of general plates
    • S. C. Fan and M. H. Luah, 'A nine node spline element for free vibration analysis of general plates', J. Sound Vibration, 165, 85-100 (1993).
    • (1993) J. Sound Vibration , vol.165 , pp. 85-100
    • Fan, S.C.1    Luah, M.H.2
  • 28
    • 0026420118 scopus 로고
    • Free vibration analysis of a flat plate using the hierarchical finite element method
    • N. S. Bardell, 'Free vibration analysis of a flat plate using the hierarchical finite element method', J. Sound Vibration, 151, 263-289 (1991).
    • (1991) J. Sound Vibration , vol.151 , pp. 263-289
    • Bardell, N.S.1
  • 29
    • 0023044657 scopus 로고
    • Free vibration analysis of right triangular plates with combinations of clamped-simply supported boundary conditions
    • D. J. Gorman, 'Free vibration analysis of right triangular plates with combinations of clamped-simply supported boundary conditions', J. Sound Vibration, 106, 419-431 (1986).
    • (1986) J. Sound Vibration , vol.106 , pp. 419-431
    • Gorman, D.J.1
  • 30
    • 0027625886 scopus 로고
    • The vibration of circular plate with varying thickness
    • T. S. Yang, 'The vibration of circular plate with varying thickness', J. Sound Vibration, 165, 178-184 (1993).
    • (1993) J. Sound Vibration , vol.165 , pp. 178-184
    • Yang, T.S.1
  • 31
    • 0026419436 scopus 로고
    • Free vibration of a solid circular plate of linearly varying thickness and attached to a Winkler foundation
    • P. A. A. Laura, R. H. Gutierrez, R. Carnicer and H. C. Sanzi, 'Free vibration of a solid circular plate of linearly varying thickness and attached to a Winkler foundation', J. Sound Vibration, 144, 149-161 (1991).
    • (1991) J. Sound Vibration , vol.144 , pp. 149-161
    • Laura, P.A.A.1    Gutierrez, R.H.2    Carnicer, R.3    Sanzi, H.C.4
  • 32
    • 0026376169 scopus 로고
    • Generalized variational principles of plates on elastic foundation
    • R. L. Yuan and L. S. Wang, 'Generalized variational principles of plates on elastic foundation', J. Appl. Mech., 58, 1001-1004 (1991).
    • (1991) J. Appl. Mech. , vol.58 , pp. 1001-1004
    • Yuan, R.L.1    Wang, L.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.