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Volumn 53, Issue 6, 2011, Pages 436-445

Vibrations of rectangular plates with internal cracks or slits

Author keywords

Cracked plates; Ritz method; Special admissible functions; Vibrations

Indexed keywords

ADMISSIBLE FUNCTIONS; ANGULAR ORIENTATION; CENTER CRACKS; CRACKED PLATE; DOMAIN DECOMPOSITION TECHNIQUES; EXACT SOLUTION; FREE VIBRATION; INTERNAL CRACK; MODE SHAPES; RECTANGULAR PLATES; RITZ METHODS; SIMPLY SUPPORTED; SQUARE PLATES; STRESS SINGULARITIES; UPPER BOUND; VIBRATION DATA; VIBRATIONS;

EID: 79956216196     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2011.03.006     Document Type: Article
Times cited : (64)

References (22)
  • 1
    • 0343262489 scopus 로고
    • Über eine neue methode zur lösung gewisser variationsprobleme der mathematischen physik
    • W. Ritz Über eine neue methode zur lösung gewisser variationsprobleme der mathematischen physik Journal für Reine und Angewandte Mathematik 135 1908 1 61
    • (1908) Journal für Reine und Angewandte Mathematik , vol.135 , pp. 1-61
    • Ritz, W.1
  • 3
    • 0003102712 scopus 로고
    • Recent research in plate vibrations, 19731976: Classical theory
    • A.W. Leissa Recent research in plate vibrations, 19731976: classical theory The Shock and Vibration Digest 9 10 1977 13 24
    • (1977) The Shock and Vibration Digest , vol.9 , Issue.10 , pp. 13-24
    • Leissa, A.W.1
  • 4
    • 0002277941 scopus 로고
    • Plate vibration research, 19761980: Classical theory
    • A.W. Leissa Plate vibration research, 19761980: classical theory The Shock and Vibration Digest 13 9 1981 11 22
    • (1981) The Shock and Vibration Digest , vol.13 , Issue.9 , pp. 11-22
    • Leissa, A.W.1
  • 5
    • 0002669431 scopus 로고
    • Recent studies in plate vibrations: 19811985. Part I. Classical theory
    • A.W. Leissa Recent studies in plate vibrations: 19811985. Part I. Classical theory The Shock and Vibration Digest 19 2 1987 11 18
    • (1987) The Shock and Vibration Digest , vol.19 , Issue.2 , pp. 11-18
    • Leissa, A.W.1
  • 6
    • 0026953191 scopus 로고
    • Flexural vibration of rectangular plate systems approached by using artificial springs in the Rayleigh-Ritz method
    • DOI 10.1016/0022-460X(92)90450-C
    • J. Yuan, and S.M. Dickinson The flexural vibration of rectangular plate systems approached by using artificial springs in the RayleighRitz method Journal of Sound and Vibration 159 1 1992 39 55 (Pubitemid 23581119)
    • (1992) Journal of Sound and Vibration , vol.159 , Issue.1 , pp. 39-55
    • Yuan, J.1    Dickinson, S.M.2
  • 7
    • 0028448653 scopus 로고
    • A solution method for analysis of cracked plates under vibration
    • K.M. Liew, K.C. Hung, and M.K. Lim A solution method for analysis of cracked plates under vibration Engineering Fracture Mechanics 48 3 1994 393 404
    • (1994) Engineering Fracture Mechanics , vol.48 , Issue.3 , pp. 393-404
    • Liew, K.M.1    Hung, K.C.2    Lim, M.K.3
  • 8
    • 0034272444 scopus 로고    scopus 로고
    • Introduction of modified comparison functions for vibration analysis of a rectangular cracked plate
    • S.E. Khadem, and M. Rezaee Introduction of modified comparison functions for vibration analysis of a rectangular cracked plate Journal of Sound and Vibration 236 2 2000 245 258
    • (2000) Journal of Sound and Vibration , vol.236 , Issue.2 , pp. 245-258
    • Khadem, S.E.1    Rezaee, M.2
  • 9
    • 0001635120 scopus 로고
    • Free vibrations of thin rectangular plates having narrow cracks with simply supported edges. Developments in Mechanics
    • Colorado State University, Fort Collins, Colorado
    • Lynn PP, Kumbasar N. Free vibrations of thin rectangular plates having narrow cracks with simply supported edges. Developments in Mechanics. In: Proceedings of the 10th Midwestern Mechanics Conference, vol. 4, Colorado State University, Fort Collins, Colorado; 1967, p. 91128.
    • (1967) Proceedings of the 10th Midwestern Mechanics Conference , vol.4 , pp. 911-928
    • Lynn, P.P.1    Kumbasar, N.2
  • 11
    • 0019674678 scopus 로고
    • Vibration and bending of a cracked plate
    • B.D. Aggarwala, and P.D. Ariel Vibration and bending of a cracked plate Rozprawy Inzynierskie 29 2 1981 295 310
    • (1981) Rozprawy Inzynierskie , vol.29 , Issue.2 , pp. 295-310
    • Aggarwala, B.D.1    Ariel, P.D.2
  • 12
    • 0019898326 scopus 로고
    • Free vibration of a simply-supported rectangular plate with a straight through-notch
    • K. Neku Free vibration of a simply-supported rectangular plate with a straight through-notch Bulletin of the Japan Society of Mechanical Engineers 25 199 1982 16 23
    • (1982) Bulletin of the Japan Society of Mechanical Engineers , vol.25 , Issue.199 , pp. 16-23
    • Neku, K.1
  • 13
    • 0020888232 scopus 로고
    • Bending vibration of a simply supported rectangular plate with a crack parallel to one edge
    • DOI 10.1016/0013-7944(83)90004-8
    • R. Solecki Bending vibration of a simply supported rectangular plate with a crack parallel to one edge Engineering Fracture Mechanics 18 6 1983 1111 1118 (Pubitemid 14455278)
    • (1983) Engineering Fracture Mechanics , vol.18 , Issue.6 , pp. 1111-1118
    • Solecki Roman1
  • 15
    • 0025855687 scopus 로고
    • A finite element model of cracked plates and application to vibration problems
    • G.L. Qian, S.N. Gu, and J.S. Jiang A finite element model of cracked plates and application to vibration problems Computers and Structures 39 5 1991 483 487
    • (1991) Computers and Structures , vol.39 , Issue.5 , pp. 483-487
    • Qian, G.L.1    Gu, S.N.2    Jiang, J.S.3
  • 16
    • 0027837112 scopus 로고
    • Natural vibrations of rectangular plates with a through crack
    • M. Krawczuk Natural vibrations of rectangular plates with a through crack Archive of Applied Mechanics 63 7 1993 491 504
    • (1993) Archive of Applied Mechanics , vol.63 , Issue.7 , pp. 491-504
    • Krawczuk, M.1
  • 18
    • 0035058341 scopus 로고    scopus 로고
    • Experimental and numerical analysis of vibrating cracked plates at resonant frequencies
    • C.C. Ma, and C.H. Huang Experimental and numerical analysis of vibrating cracked plates at resonant frequencies Experimental Mechanics 41 1 2001 8 18
    • (2001) Experimental Mechanics , vol.41 , Issue.1 , pp. 8-18
    • Ma, C.C.1    Huang, C.H.2
  • 19
    • 58849153725 scopus 로고    scopus 로고
    • Vibration analysis of cracked plates using the extended finite element method
    • M. Bachene, R. Tiberkak, and S. Rechak Vibration analysis of cracked plates using the extended finite element method Archive of Applied Mechanics 79 2009 249 262
    • (2009) Archive of Applied Mechanics , vol.79 , pp. 249-262
    • Bachene, M.1    Tiberkak, R.2    Rechak, S.3
  • 20
    • 0002634023 scopus 로고
    • Surface stress singularities resulting from various boundary conditions in angular corners of plates under bending
    • Williams ML. Surface stress singularities resulting from various boundary conditions in angular corners of plates under bending. In: Proceedings of the First US National Congress of Applied Mechanics; 1952, p. 3259.
    • (1952) Proceedings of the First US National Congress of Applied Mechanics , pp. 325-329
    • Williams, M.L.1
  • 21
    • 0022146915 scopus 로고
    • Natural frequencies of rectangular plates using characteristic orthogonal polynomials in rayleigh-ritz method
    • R.B. Bhat Natural frequencies of rectangular plates using characteristic orthogonal polynomials in RayleighRitz method Journal of Sound and Vibration 102 4 1985 493 499 (Pubitemid 15606533)
    • (1985) Journal of Sound and Vibration , vol.102 , Issue.4 , pp. 493-499
    • Bhat, R.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.