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Volumn 223, Issue 10, 2009, Pages 2263-2272

Free vibration of shallow shells using the Rayleigh-Ritz method and penalty parameters

Author keywords

Penalty function method; Rayleigh Ritz method; Shallow shell

Indexed keywords

FREE VIBRATION; MASS MATRICES; NEGATIVE VALUES; PENALTY FUNCTION METHOD; PENALTY FUNCTION METHODS; PENALTY PARAMETERS; RAYLEIGH-RITZ METHOD; RAYLEIGH-RITZ METHODS; SHALLOW SHELL; SHALLOW SHELLS; VIBRATION PROBLEM;

EID: 70350144981     PISSN: 09544062     EISSN: None     Source Type: Journal    
DOI: 10.1243/09544062JMES1442     Document Type: Article
Times cited : (65)

References (22)
  • 1
    • 85025753661 scopus 로고
    • The free vibration of rectangular plates
    • Leissa, A. W. The free vibration of rectangular plates. J. Sound Vibr., 1973, 31(3), 257-293
    • (1973) J. Sound Vibr. , vol.31 , Issue.3 , pp. 257-293
    • Leissa, A.W.1
  • 2
    • 0021483803 scopus 로고
    • Vibrations of completely free shallow shells of rectangular planform
    • Leissa, A.W. and Narita,Y. Vibrations of completely free shallow shells of rectangular planform. J. Sound Vibr., 1984, 96(2), 207-218
    • (1984) J. Sound Vibr. , vol.96 , Issue.2 , pp. 207-218
    • Leissa, A.W.1    Narita, Y.2
  • 3
    • 0034322771 scopus 로고    scopus 로고
    • Application of a three-dimensional shell theory to the free vibration of shells arbitrarily deep in one direction
    • Young,P.G. Application of a three-dimensional shell theory to the free vibration of shells arbitrarily deep in one direction. J. Sound Vibr., 2000, 238(2), 257-269
    • (2000) J. Sound Vibr. , vol.238 , Issue.2 , pp. 257-269
    • Young, P.G.1
  • 4
    • 0039662989 scopus 로고
    • Vibration of a class of shallowshells bounded by edges described by polynomials, part I: Theoretical approach and validation.
    • Young, P. G. and Dickinson, S. M. Vibration of a class of shallowshells bounded by edges described by polynomials, part I: theoretical approach and validation. J. Sound Vibr., 1995, 181(2), 203-214
    • (1995) J. Sound Vibr. , vol.181 , Issue.2 , pp. 203-214
    • Young, P.G.1    Dickinson, S.M.2
  • 5
    • 0042546000 scopus 로고
    • Vibration of a class of shallow shells bounded by edges described by polynomials, part II: Natural frequency parameters for shallow shells of various different planforms
    • Young, P. G. and Dickinson, S. M. Vibration of a class of shallow shells bounded by edges described by polynomials, part II: natural frequency parameters for shallow shells of various different planforms. J. Sound Vibr., 1995, 181(2), 215-230
    • (1995) J. Sound Vibr. , vol.181 , Issue.2 , pp. 215-230
    • Young, P.G.1    Dickinson, S.M.2
  • 6
    • 0026953191 scopus 로고
    • The flexural vibration of rectangular plate systems approached by using artificial springs in the Rayleigh-Ritz method
    • Yuan, J. and Dickinson, S. M. The flexural vibration of rectangular plate systems approached by using artificial springs in the Rayleigh-Ritz method. J. Sound Vibr., 1992, 159(1), 39-55.
    • (1992) J. Sound Vibr. , vol.159 , Issue.1 , pp. 39-55
    • Yuan, J.1    Dickinson, S.M.2
  • 7
    • 0022146915 scopus 로고
    • Natural frequencies of rectangular plates using characteristic orthogonal polynomials inRayleigh- Ritz method
    • Bhat, R. B. Natural frequencies of rectangular plates using characteristic orthogonal polynomials inRayleigh- Ritz method. J. Sound Vibr., 1985, 102(4), 493-499
    • (1985) J. Sound Vibr. , vol.102 , Issue.4 , pp. 493-499
    • Bhat, R.B.1
  • 8
    • 0028769407 scopus 로고
    • A pb-2 Ritz formulation for flexural vibration of shallow cylindrical shells of rectangular planform
    • Lim, C. W. and Liew, K. M. A pb-2 Ritz formulation for flexural vibration of shallow cylindrical shells of rectangular planform. J. Sound Vibr., 1994, 173(3), 343-375
    • (1994) J. Sound Vibr. , vol.173 , Issue.3 , pp. 343-375
    • Lim, C.W.1    Liew, K.M.2
  • 9
    • 2542474439 scopus 로고    scopus 로고
    • Vibration analysis of rectangular plates with general elastic boundary supports
    • Li, W. L. Vibration analysis of rectangular plates with general elastic boundary supports. J. Sound Vibr., 2004, 273(3), 619-635
    • (2004) J. Sound Vibr. , vol.273 , Issue.3 , pp. 619-635
    • Li, W.L.1
  • 10
    • 0030562046 scopus 로고    scopus 로고
    • Natural frequencies of rectangular plates using a set of static beam functions in Rayleigh-Ritz method
    • Zhou,D. Natural frequencies of rectangular plates using a set of static beam functions in Rayleigh-Ritz method. J. Sound Vibr., 1996, 189(1), 81-87
    • (1996) J. Sound Vibr. , vol.189 , Issue.1 , pp. 81-87
    • Zhou, D.1
  • 11
    • 0031237139 scopus 로고    scopus 로고
    • Analysis of vibrating circular plates having non-uniform constraints using the modal properties of free-edge plates: Application to bolted plates
    • Amabili, M., Pierandrei, R., and Frosali, G. Analysis of vibrating circular plates having non-uniform constraints using the modal properties of free-edge plates: application to bolted plates. J. Sound Vibr., 1997, 206(1), 23-38.
    • (1997) J. Sound Vibr. , vol.206 , Issue.1 , pp. 23-38
    • Amabili, M.1    Pierandrei, R.2    Frosali, G.3
  • 12
    • 33845547627 scopus 로고    scopus 로고
    • Introducing the use of positive and negative inertial functions in asymptotic modeling
    • Ilanko, S. Introducing the use of positive and negative inertial functions in asymptotic modelling. Proc. R. Soc. A., 2005, 461, 2545-2562
    • (2005) Proc. R. Soc. A. , vol.461 , pp. 2545-2562
    • Ilanko, S.1
  • 13
    • 0036736932 scopus 로고    scopus 로고
    • The use of negative penalty functions in constrained variational problems
    • Ilanko, S. The use of negative penalty functions in constrained variational problems. Commun. Numer. Methods Eng., 2002, 18, 659-668
    • (2002) Commun. Numer. Methods Eng. , vol.18 , pp. 659-668
    • Ilanko, S.1
  • 14
    • 0038545462 scopus 로고    scopus 로고
    • The use of asymptotic modelling in vibration and stability analysis of structures
    • Ilanko, S. The use of asymptotic modelling in vibration and stability analysis of structures. J. Sound Vibr., 2003, 263(5), 1047-1054
    • (2003) J. Sound Vibr. , vol.263 , Issue.5 , pp. 1047-1054
    • Ilanko, S.1
  • 15
    • 0037194568 scopus 로고    scopus 로고
    • Existence of natural frequencies of systems with artificial restraints and their convergence in asymptotic modelling
    • Ilanko, S. Existence of natural frequencies of systems with artificial restraints and their convergence in asymptotic modelling. J. Sound Vibr., 2002, 255(5), 883-898
    • (2002) J. Sound Vibr. , vol.255 , Issue.5 , pp. 883-898
    • Ilanko, S.1
  • 16
    • 0032785094 scopus 로고    scopus 로고
    • Asymptotic modelling of rigid boundaries and connections in the Rayleigh-Ritz method
    • Ilanko, S. and Dickinson, S. M. Asymptotic modelling of rigid boundaries and connections in the Rayleigh-Ritz method. J. Sound Vibr., 1999, 219(2), 370-378
    • (1999) J. Sound Vibr. , vol.219 , Issue.2 , pp. 370-378
    • Ilanko, S.1    Dickinson, S.M.2
  • 17
    • 33750309255 scopus 로고    scopus 로고
    • The use of negative penalty functions in linear systems of equations
    • Askes,H. and Ilanko,S.The use of negative penalty functions in linear systems of equations. Proc. R. Soc. A. 2006, 462, 2965-2975
    • (2006) Proc. R. Soc. A. , vol.462 , pp. 2965-2975
    • Askes, H.1    Ilanko, S.2
  • 18
    • 0030784178 scopus 로고    scopus 로고
    • The free vibration of thin rectangular planform shallow shells with slits
    • Crossland, J. A. and Dickinson, S. M. The free vibration of thin rectangular planform shallow shells with slits. J. Sound Vibr., 1997, 199(3), 513-521
    • (1997) J. Sound Vibr. , vol.199 , Issue.3 , pp. 513-521
    • Crossland, J.A.1    Dickinson, S.M.2
  • 19
    • 42349112815 scopus 로고    scopus 로고
    • Research advances in the dynamic instability behaviour of plates and shells: 1987-2005 part I: Conservative systems
    • Sahu, S. K. and Datta, P. K. Research advances in the dynamic instability behaviour of plates and shells: 1987- 2005, part I: conservative systems. Appl.Mech. Rev., 2007, 60, 65-75.
    • (2007) Appl.Mech. Rev. , vol.60 , pp. 65-75
    • Sahu, S.K.1    Datta, P.K.2
  • 20
    • 84960798507 scopus 로고
    • Variational methods for the solution of problems of equilibrium and vibration
    • Courant,R.Variational methods for the solution of problems of equilibrium and vibration. Bull. Am. Math. Soc., 1943, 49, 1-23.
    • (1943) Bull. Am. Math. Soc. , vol.49 , pp. 1-23
    • Courant, R.1
  • 21
    • 0042037500 scopus 로고
    • Accurate calculation methods for natural frequencies of plates with special attention to the higher modes
    • Oosterhout, G. M., van der Hoogt, P. J. M., and Spiering, R. M. E. J. Accurate calculation methods for natural frequencies of plates with special attention to the higher modes. J. Sound Vibr., 1995, 183(1), 33-47.
    • (1995) J. Sound Vibr. , vol.183 , Issue.1 , pp. 33-47
    • Oosterhout, G.M.1    Van Der Hoogt, P.J.M.2    Spiering, R.M.E.J.3
  • 22
    • 0028447377 scopus 로고
    • Vibration of perforated doublycurved shallow shells with rounded corners
    • Liew,K.M.and Lim,C.W.Vibration of perforated doublycurved shallow shells with rounded corners. Int. J. Solids Struct., 1994, 31(11), 1519-1536
    • (1994) Int. J. Solids Struct. , vol.31 , Issue.11 , pp. 1519-1536
    • Liew, K.M.1    Lim, C.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.