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Volumn 197, Issue 3, 1996, Pages 263-281

Closed form approximation of vibration modes of rectangular cantilever plates by the variational reduction method

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; APPROXIMATION THEORY; BOUNDARY CONDITIONS; MODAL ANALYSIS; PARTIAL DIFFERENTIAL EQUATIONS; STRUCTURAL ANALYSIS; VARIATIONAL TECHNIQUES; VIBRATIONS (MECHANICAL);

EID: 0030259359     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0531     Document Type: Article
Times cited : (25)

References (14)
  • 1
    • 0003758712 scopus 로고
    • (NASA SP 160). Washington, DC: U.S. Government Printing Office
    • A. W. LEISSA 1969 Vibration of Plates (NASA SP 160). Washington, DC: U.S. Government Printing Office.
    • (1969) Vibration of Plates
    • Leissa, A.W.1
  • 2
    • 85025753661 scopus 로고
    • The free vibration of rectangular plates
    • A. W. LEISSA 1973 Journal of Sound and Vibration 31, 257-293. The free vibration of rectangular plates.
    • (1973) Journal of Sound and Vibration , vol.31 , pp. 257-293
    • Leissa, A.W.1
  • 3
    • 0022146915 scopus 로고
    • Natural frequencies of rectangular plates using characteristic orthogonal polynomials in Rayleigh-Ritz method
    • R. B. BHAT 1985 Journal of Sound and Vibration 102, 493-499. Natural frequencies of rectangular plates using characteristic orthogonal polynomials in Rayleigh-Ritz method.
    • (1985) Journal of Sound and Vibration , vol.102 , pp. 493-499
    • Bhat, R.B.1
  • 4
    • 0023044804 scopus 로고
    • On the use of orthogonal polynomials in Rayleigh-Ritz method for the study of flexural vibration and buckling of isotropic and orthotropic plates
    • S. M. DICKINSON and A. DI BLASIO 1986 Journal of Sound and Vibration 108, 51-62. On the use of orthogonal polynomials in Rayleigh Ritz method for the study of flexural vibration and buckling of isotropic and orthotropic plates.
    • (1986) Journal of Sound and Vibration , vol.108 , pp. 51-62
    • Dickinson, S.M.1    Di Blasio, A.2
  • 5
    • 0025414417 scopus 로고
    • Numerical experiments on the determination of natural frequencies of transverse vibrations of rectangular plate of non-uniform thickness
    • R. B. BHAT, P. A. A. LAURA, R. G. GUTIERREZ, V. H. CORTINEZ and H. C. SANZI 1990 Journal of Sound and Vibration 138, 205-219. Numerical experiments on the determination of natural frequencies of transverse vibrations of rectangular plate of non-uniform thickness.
    • (1990) Journal of Sound and Vibration , vol.138 , pp. 205-219
    • Bhat, R.B.1    Laura, P.A.A.2    Gutierrez, R.G.3    Cortinez, V.H.4    Sanzi, H.C.5
  • 7
    • 0004655951 scopus 로고
    • An extension of the Kantorovich method
    • A. D. KERR 1968 Quarterly of Applied Mathematics 26, 219-229. An extension of the Kantorovich method.
    • (1968) Quarterly of Applied Mathematics , vol.26 , pp. 219-229
    • Kerr, A.D.1
  • 8
    • 0004657646 scopus 로고
    • An application of the extended Kantorovich method to the stress analysis of a clamped rectangular plate
    • A. D. KERR and H. ALEXANDER 1968 Acta Mechanica 6, 180-196. An application of the extended Kantorovich method to the stress analysis of a clamped rectangular plate.
    • (1968) Acta Mechanica , vol.6 , pp. 180-196
    • Kerr, A.D.1    Alexander, H.2
  • 9
    • 0001162184 scopus 로고
    • An extended Kantorovich method for the solution of eigenvalue problems
    • A. D. KERR 1969 International Journal of Solids and Structures 5, 559-572. An extended Kantorovich method for the solution of eigenvalue problems.
    • (1969) International Journal of Solids and Structures , vol.5 , pp. 559-572
    • Kerr, A.D.1
  • 10
    • 0017301259 scopus 로고
    • Application of the extended Kantorovich method to the vibration of clamped rectangular plates
    • R. JONES and B. J. MILNE 1976 Journal of Sound and Vibration 45, 309-316, Application of the extended Kantorovich method to the vibration of clamped rectangular plates.
    • (1976) Journal of Sound and Vibration , vol.45 , pp. 309-316
    • Jones, R.1    Milne, B.J.2
  • 12
    • 30244532507 scopus 로고    scopus 로고
    • Vibration of rectangular plates by reduction of the plate partial differential equation into simultaneous ordinary differential equations
    • In press
    • C. RAJALINGHAM, R. B. BHAT and G. D. XISTRIS Journal of Sound and Vibration. In press. Vibration of rectangular plates by reduction of the plate partial differential equation into simultaneous ordinary differential equations.
    • Journal of Sound and Vibration
    • Rajalingham, C.1    Bhat, R.B.2    Xistris, G.D.3
  • 13
    • 0030572194 scopus 로고    scopus 로고
    • Vibration of rectangular plates using plate characteristic functions as shape functions in Rayleigh-Ritz method
    • C. RAJALINGHAM, R. B. BHAT and G. D. XISTRIS 1996 Journal of Sound and Vibration 193, 497-509. Vibration of rectangular plates using plate characteristic functions as shape functions in Rayleigh Ritz method.
    • (1996) Journal of Sound and Vibration , vol.193 , pp. 497-509
    • Rajalingham, C.1    Bhat, R.B.2    Xistris, G.D.3
  • 14
    • 0042509322 scopus 로고
    • On the use of simply supported plate functions in Rayleigh-Ritz method applied to flexural vibration of rectangular plates
    • S. M. DICKINSON 1978 Journal of Sound and Vibration 59, 143-146. On the use of simply supported plate functions in Rayleigh Ritz method applied to flexural vibration of rectangular plates.
    • (1978) Journal of Sound and Vibration , vol.59 , pp. 143-146
    • Dickinson, S.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.