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Volumn 216, Issue 2, 1998, Pages 321-327

Recurrence scheme for the generation of two-dimensional boundary characteristic orthogonal polynomials to study vibration of plates

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EID: 0004569347     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.1652     Document Type: Article
Times cited : (12)

References (15)
  • 1
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    • 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
  • 2
    • 0023044804 scopus 로고
    • On the use of orthogonal polynomials in Rayleigh-Ritz method for the study of the flexural vibration and buckling of isotropic and orthotropic rectangular 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 the flexural vibration and buckling of isotropic and orthotropic rectangular plates.
    • (1986) Journal of Sound and Vibration , vol.108 , pp. 51-62
    • Dickinson, S.M.1    Di Blasio, A.2
  • 3
    • 0024964571 scopus 로고
    • On the lateral vibration of thin annular and circular composite plates subject to certain complicating effects
    • C. S. KIM and S. M. DICKINSON 1989 Journal of Sound and Vibration 130, 363-377. On the lateral vibration of thin annular and circular composite plates subject to certain complicating effects.
    • (1989) Journal of Sound and Vibration , vol.130 , pp. 363-377
    • Kim, C.S.1    Dickinson, S.M.2
  • 4
    • 0025703076 scopus 로고
    • Application of two dimensional plate functions to flexural vibrations of skew plates
    • K. M. LIEW and K. Y. LAM 1990 Journal of Sound and Vibration 139, 241-252. Application of two dimensional plate functions to flexural vibrations of skew plates.
    • (1990) Journal of Sound and Vibration , vol.139 , pp. 241-252
    • Liew, K.M.1    Lam, K.Y.2
  • 5
    • 0025671710 scopus 로고
    • Free vibration analysis of rectangular plates using orthogonal plate function
    • K. M. LIEW, K. Y. LAM and S. T. CHOW 1990 Computers and Structures 34, 79-85. Free vibration analysis of rectangular plates using orthogonal plate function.
    • (1990) Computers and Structures , vol.34 , pp. 79-85
    • Liew, K.M.1    Lam, K.Y.2    Chow, S.T.3
  • 7
    • 0023647906 scopus 로고
    • Flexural vibration of polygonal plates using characteristic orthogonal polynomials in two variables
    • R. B. BHAT 1987 Journal of Sound and Vibration 114, 65-71. Flexural vibration of polygonal plates using characteristic orthogonal polynomials in two variables.
    • (1987) Journal of Sound and Vibration , vol.114 , pp. 65-71
    • Bhat, R.B.1
  • 8
    • 0027110448 scopus 로고
    • On the use of orthogonal polynomials in Rayleigh-Ritz method for the study of transverse vibration of elliptic plates
    • B. SINGH and S. CHAKRAVERTY 1992 Computers and Structures 43, 439-443. On the use of orthogonal polynomials in Rayleigh-Ritz method for the study of transverse vibration of elliptic plates.
    • (1992) Computers and Structures , vol.43 , pp. 439-443
    • Singh, B.1    Chakraverty, S.2
  • 9
    • 0027114773 scopus 로고
    • Transverse vibration of simply-supported elliptic and circular plates using orthogonal polynomials in two variables
    • B. SINGH and S. CHAKRAVERTY 1992 Journal of Sound and Vibration 152, 149-155. Transverse vibration of simply-supported elliptic and circular plates using orthogonal polynomials in two variables.
    • (1992) Journal of Sound and Vibration , vol.152 , pp. 149-155
    • Singh, B.1    Chakraverty, S.2
  • 10
    • 0026403713 scopus 로고
    • Transverse vibration of completely free elliptic and circular plates using orthogonal polynomials in Rayleigh-Ritz method
    • B. SINGH and S. CHAKRAVERTY 1991 International Journal of Mechanical Sciences 33, 741-751. Transverse vibration of completely free elliptic and circular plates using orthogonal polynomials in Rayleigh-Ritz method.
    • (1991) International Journal of Mechanical Sciences , vol.33 , pp. 741-751
    • Singh, B.1    Chakraverty, S.2
  • 13
    • 0008909251 scopus 로고
    • The recursion formulas for orthogonal polynomials in n variables
    • M. A. KOWALSKI 1982 SIAM Journal of Mathematical Analysis 13, 309-315. The recursion formulas for orthogonal polynomials in n variables.
    • (1982) SIAM Journal of Mathematical Analysis , vol.13 , pp. 309-315
    • Kowalski, M.A.1
  • 14
    • 0000105784 scopus 로고
    • Orthogonality and recursion formulas for polynomials in n variables
    • M. A. KOWALSKI 1982 SIAM Journal of Mathematical Analysis 13, 316-323. Orthogonality and recursion formulas for polynomials in n variables.
    • (1982) SIAM Journal of Mathematical Analysis , vol.13 , pp. 316-323
    • Kowalski, M.A.1
  • 15
    • 84907171961 scopus 로고
    • Algebraic properties of two-variable orthogonal polynomials on the hypercircle
    • Y. GENIN and Y. KAMP 1976 Philips Research Report 31, 411-422. Algebraic properties of two-variable orthogonal polynomials on the hypercircle.
    • (1976) Philips Research Report , vol.31 , pp. 411-422
    • Genin, Y.1    Kamp, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.