메뉴 건너뛰기




Volumn 37, Issue 6, 2002, Pages 569-597

Nonlinear oscillations and stability of parametrically excited cylindrical shells

Author keywords

Cylindrical shell; Dynamic buckling; Nonlinear dynamics; Parametric instability

Indexed keywords

BIFURCATION (MATHEMATICS); BUCKLING; DEGREES OF FREEDOM (MECHANICS); EQUATIONS OF MOTION; GALERKIN METHODS; LYAPUNOV METHODS; ORDINARY DIFFERENTIAL EQUATIONS; OSCILLATIONS; RUNGE KUTTA METHODS; VIBRATIONS (MECHANICAL);

EID: 0036902950     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1020972109600     Document Type: Article
Times cited : (72)

References (39)
  • 2
    • 0012043843 scopus 로고
    • Nonlinear response of cylindrical shells subjected to dynamic axial loads
    • Roth, R.S. and Klosner, J.M., 'Nonlinear response of cylindrical shells subjected to dynamic axial loads', AIAA J. 2 (1964) 1788-1794.
    • (1964) AIAA J. , vol.2 , pp. 1788-1794
    • Roth, R.S.1    Klosner, J.M.2
  • 3
    • 0016485202 scopus 로고
    • Dynamic stability of cylindrical shells under step loading
    • Tamura, Y.S. and Babcock, C.D., 'Dynamic stability of cylindrical shells under step loading', J. Appl. Mech. 42 (1975) 190-194.
    • (1975) J. Appl. Mech. , vol.42 , pp. 190-194
    • Tamura, Y.S.1    Babcock, C.D.2
  • 4
    • 0020798663 scopus 로고
    • Effect of static preloading on the dynamic stability of structures
    • Simitses, J.G., 'Effect of static preloading on the dynamic stability of structures', AIAA J. 21 (1982) 1174-1180.
    • (1982) AIAA J. , vol.21 , pp. 1174-1180
    • Simitses, J.G.1
  • 6
    • 0012840473 scopus 로고
    • On parametric excitation and snap-through stability problems of shells
    • in: Fung, Y.C. and Sechler, E.E. (eds); Prentince-Hall, New Jersey
    • Hsu, C.S., 'On parametric excitation and snap-through stability problems of shells', in: Fung, Y.C. and Sechler, E.E. (eds) Thin-Shell Structures: Theory, Experiments and Design, Prentince-Hall, New Jersey, 1974.
    • (1974) Thin-Shell Structures: Theory, Experiments and Design
    • Hsu, C.S.1
  • 7
    • 0018263218 scopus 로고
    • Dynamic stability of circular cylindrical shells under periodic compressive forces
    • Nagai, K. and Yamaki, N., 'Dynamic stability of circular cylindrical shells under periodic compressive forces', J. Sound Vibr. 58 (1978) 425-441.
    • (1978) J. Sound Vibr. , vol.58 , pp. 425-441
    • Nagai, K.1    Yamaki, N.2
  • 8
    • 0027911843 scopus 로고
    • Dynamic instability of layered anisotropic circular cylindrical shells, Part II. Numerical results
    • Argento, A. and Scott, R.A., 'Dynamic instability of layered anisotropic circular cylindrical shells, Part II. Numerical results', J. Sound Vibr. 162(2) (1993) 323-332.
    • (1993) J. Sound Vibr. , vol.162 , Issue.2 , pp. 323-332
    • Argento, A.1    Scott, R.A.2
  • 9
    • 0000281999 scopus 로고    scopus 로고
    • Dynamic stability of cylindrical shells subjected to conservative periodic axial loads using different shell theories
    • Lam, K.Y. and Ng, T.Y., 'Dynamic stability of cylindrical shells subjected to conservative periodic axial loads using different shell theories', J. Sound Vibr. 207(4)(1997) 497-520.
    • (1997) J. Sound Vibr. , vol.207 , Issue.4 , pp. 497-520
    • Lam, K.Y.1    Ng, T.Y.2
  • 10
    • 0035055797 scopus 로고    scopus 로고
    • Dynamic instability of laminated piezoelectric shell
    • Yang, X.M. and Shen, Y.P., 'Dynamic instability of laminated piezoelectric shell', Int. J. Solids Struct. 38 (2001) 2291-2303.
    • (2001) Int. J. Solids Struct. , vol.38 , pp. 2291-2303
    • Yang, X.M.1    Shen, Y.P.2
  • 11
    • 85013640868 scopus 로고
    • Nonlinear elastic buckling and parametric excitation of a cylinder under axial loads
    • Yao, J.C., 'Nonlinear elastic buckling and parametric excitation of a cylinder under axial loads', ASME J. Appl. Mech. 32 (1965) 109-115.
    • (1965) ASME J. Appl. Mech. , vol.32 , pp. 109-115
    • Yao, J.C.1
  • 12
    • 0000645183 scopus 로고
    • Dynamic response of finite-length cylindrical shells to nearly uniform radial impulse
    • McIvor, I.K. and Lovell, E.G., 'Dynamic response of finite-length cylindrical shells to nearly uniform radial impulse', AIAA J. 6(12) (1968) 2346-2351.
    • (1968) AIAA J. , vol.6 , Issue.12 , pp. 2346-2351
    • McIvor, I.K.1    Lovell, E.G.2
  • 14
    • 0031123696 scopus 로고    scopus 로고
    • A bifurcation analysis of the dynamics of a simplified shell model
    • Baumgarten, R., Kreuzer, E. and Popov, A.A., 'A bifurcation analysis of the dynamics of a simplified shell model', Nonlinear Dyn. 12 (1997) 307-317.
    • (1997) Nonlinear Dyn. , vol.12 , pp. 307-317
    • Baumgarten, R.1    Kreuzer, E.2    Popov, A.A.3
  • 15
    • 0032204758 scopus 로고    scopus 로고
    • Bifurcation analyses in the parametrically excited vibrations of cylindrical panels
    • Popov, A.A., Thompson, J.M.T. and Croll, J.G.A., 'Bifurcation analyses in the parametrically excited vibrations of cylindrical panels', Nonlinear Dyn. 17 (1998) 205-225.
    • (1998) Nonlinear Dyn. , vol.17 , pp. 205-225
    • Popov, A.A.1    Thompson, J.M.T.2    Croll, J.G.A.3
  • 16
    • 0001706860 scopus 로고    scopus 로고
    • Low-dimensional models of shell vibrations: Parametrically excited vibrations of shells
    • Popov, A.A., Thompson, J.M.T. and McRobie, F.A., 'Low-dimensional models of shell vibrations: parametrically excited vibrations of shells', J. Sound Vibr. 209 (1998) 163-186.
    • (1998) J. Sound Vibr. , vol.209 , pp. 163-186
    • Popov, A.A.1    Thompson, J.M.T.2    McRobie, F.A.3
  • 17
    • 0002267471 scopus 로고    scopus 로고
    • Auto-parametric resonance in cylindrical shells using geometric averaging
    • McRobie, F.A., Popov, A.A. and Thompson, J.M.T., 'Auto-parametric resonance in cylindrical shells using geometric averaging', J. Sound Vibr. 227 (1) (1999) 65-84.
    • (1999) J. Sound Vibr. , vol.227 , Issue.1 , pp. 65-84
    • McRobie, F.A.1    Popov, A.A.2    Thompson, J.M.T.3
  • 18
    • 17144463484 scopus 로고    scopus 로고
    • The role of modal coupling on the nonlinear response of cylindrical shells subjected to dynamic axial loads
    • Gonçalves, P.B. and Del Prado, Z.J.G.N., 'The role of modal coupling on the nonlinear response of cylindrical shells subjected to dynamic axial loads', in: Nonlinear Dyn. Plates Shells ASME, AMD, Vol. 238 (2000) 105-116.
    • (2000) Nonlinear Dyn. Plates Shells ASME, AMD , vol.238 , pp. 105-116
    • Gonçalves, P.B.1    Del Prado, Z.J.G.N.2
  • 19
    • 0000766816 scopus 로고
    • Influence of large amplitudes on flexural vibrations of a thin circular cylindrical shell
    • Chu, H.N., 'Influence of large amplitudes on flexural vibrations of a thin circular cylindrical shell', J. Aerospace Sci. 28 (1961) 602-609.
    • (1961) J. Aerospace Sci. , vol.28 , pp. 602-609
    • Chu, H.N.1
  • 20
    • 0001833786 scopus 로고
    • Nonlinear vibrations of circular cylindrical shells
    • in: Fung, Y.C. and Sechler, E.E. (eds); Prentice-Hall, Englewood Cliffs, NJ
    • Evensen, D.A., 'Nonlinear vibrations of circular cylindrical shells', in: Fung, Y.C. and Sechler, E.E. (eds) Thin Walled Structures: Theory, Experiments and Design, Prentice-Hall, Englewood Cliffs, NJ, 1974, pp. 133-155.
    • (1974) Thin Walled Structures: Theory, Experiments and Design , pp. 133-155
    • Evensen, D.A.1
  • 21
    • 44649112263 scopus 로고
    • Modal equations for the nonlinear flexural vibrations of a cylindrical shell
    • Dowell, H. and Ventres, C.S., 'Modal equations for the nonlinear flexural vibrations of a cylindrical shell', Int. J. Solids Struct. 4 (1968) 975-991.
    • (1968) Int. J. Solids Struct. , vol.4 , pp. 975-991
    • Dowell, H.1    Ventres, C.S.2
  • 22
    • 0001585013 scopus 로고
    • A perturbation analysis of nonlinear free flexural vibrations of a circular cylindrical shell
    • Atluri, S., 'A perturbation analysis of nonlinear free flexural vibrations of a circular cylindrical shell', Int. J. Solids Struct. 8 (1972) 549-569.
    • (1972) Int. J. Solids Struct. , vol.8 , pp. 549-569
    • Atluri, S.1
  • 23
    • 0016034701 scopus 로고
    • Nonlinear axisymmetric free vibration in simply supported cylindrical shells
    • Ginsberg, J.H., 'Nonlinear axisymmetric free vibration in simply supported cylindrical shells', ASME J. Appl. Mech. 41 (1974) 310-311.
    • (1974) ASME J. Appl. Mech. , vol.41 , pp. 310-311
    • Ginsberg, J.H.1
  • 24
    • 0016464381 scopus 로고
    • Nonlinear vibration of cylindrical shells
    • Chen, J.C. and Babcock, C.D., 'Nonlinear vibration of cylindrical shells', AIAA J. 13 (1975) 868-876.
    • (1975) AIAA J. , vol.13 , pp. 868-876
    • Chen, J.C.1    Babcock, C.D.2
  • 25
    • 0001169030 scopus 로고    scopus 로고
    • Nonlinear vibrations of cylindrical shells - Logical rationale
    • Evesen, D.E., 'Nonlinear vibrations of cylindrical shells - Logical rationale', J. Fluids Struct. 13 (1999) 161-164.
    • (1999) J. Fluids Struct. , vol.13 , pp. 161-164
    • Evesen, D.E.1
  • 26
    • 0000608731 scopus 로고    scopus 로고
    • Comments on the nonlinear vibrations of cylindrical shells
    • Dowell, E.H., 'Comments on the nonlinear vibrations of cylindrical shells', J. Fluids Struct. 12 (1998) 1087-1089.
    • (1998) J. Fluids Struct. , vol.12 , pp. 1087-1089
    • Dowell, E.H.1
  • 27
    • 0024731763 scopus 로고
    • Nonlinear free flexural vibration of thin circular cylindrical shells
    • Varadan, T.K., Prathap, G. and Ramani, H.V., 'Nonlinear free flexural vibration of thin circular cylindrical shells', AIAA J. 27 (1989) 1303-1304.
    • (1989) AIAA J. , vol.27 , pp. 1303-1304
    • Varadan, T.K.1    Prathap, G.2    Ramani, H.V.3
  • 28
    • 0024107487 scopus 로고
    • Nonlinear vibration analysis of fluid-filled cylindrical shells
    • Gonçalves, P.B. and Batista, R.C., 'Nonlinear vibration analysis of fluid-filled cylindrical shells', J. Sound Vibr. 127 (1988) 133-143.
    • (1988) J. Sound Vibr. , vol.127 , pp. 133-143
    • Gonçalves, P.B.1    Batista, R.C.2
  • 29
    • 0001413860 scopus 로고    scopus 로고
    • Nonlinear vibrations of simply supported, circular cylindrical shells, coupled to quiescent fluid
    • Amabili, M., Pellicano, F. and Païoussis, M.P., 'Nonlinear vibrations of simply supported, circular cylindrical shells, coupled to quiescent fluid', J. Fluids Struct. 12 (1998) 883-918.
    • (1998) J. Fluids Struct. , vol.12 , pp. 883-918
    • Amabili, M.1    Pellicano, F.2    Païoussis, M.P.3
  • 30
    • 0035311886 scopus 로고    scopus 로고
    • Nonlinear supersonic flutter of circular cylindrical shells
    • Amabili, M. and Pellicano, F., 'Nonlinear supersonic flutter of circular cylindrical shells', AIAA J. 39 (2001) 564-573.
    • (2001) AIAA J. , vol.39 , pp. 564-573
    • Amabili, M.1    Pellicano, F.2
  • 31
    • 0019697088 scopus 로고
    • Explicit lower bounds for the buckling of axially loaded cylinders
    • Croll, J.G.A. and Batista, R.C., 'Explicit lower bounds for the buckling of axially loaded cylinders', Int. J. Mech. Sci. 23 (1981) 331-343.
    • (1981) Int. J. Mech. Sci. , vol.23 , pp. 331-343
    • Croll, J.G.A.1    Batista, R.C.2
  • 32
    • 0022888791 scopus 로고
    • Hidden symmetry concepts in the elastic buckling of axially loaded cylinders
    • Hunt, G.W., Williams, K.A.J.E. Cowell, R.G., 'Hidden symmetry concepts in the elastic buckling of axially loaded cylinders', Int. J. Solid Struct. 22 (1986) 1501-1515.
    • (1986) Int. J. Solid Struct. , vol.22 , pp. 1501-1515
    • Hunt, G.W.1    Williams, K.A.J.E.2    Cowell, R.G.3
  • 33
    • 0012077066 scopus 로고    scopus 로고
    • Influence of modal coupling, symmetry breaking and energy distribution on the loss of stability of cylindrical shells under lateral and axial loads
    • M.Sc. Dissertation, Catholic University, PUC-Rio, Rio de Janeiro, Brazil
    • Santee, D.M., 'Influence of Modal Coupling, Symmetry Breaking and Energy Distribution on the Loss of Stability of Cylindrical Shells under Lateral and Axial Loads', M.Sc. Dissertation, Catholic University, PUC-Rio, Rio de Janeiro, Brazil, 1988.
    • Santee, D.M.1
  • 34
    • 85007684399 scopus 로고
    • Some experimental observations on the nonlinear vibration of cylindrical shells
    • Olson, M.D., 'Some experimental observations on the nonlinear vibration of cylindrical shells', AIAA J. 3 (1965) 1775-1777.
    • (1965) AIAA J. , vol.3 , pp. 1775-1777
    • Olson, M.D.1
  • 35
    • 0012104703 scopus 로고    scopus 로고
    • Nonlinear vibrations of fluid-filled, simply supported circular cylindrical shells: Theory and experiments
    • Amabili, M., Pellicano, F. and Païdoussis, M.P., 'Nonlinear vibrations of fluid-filled, simply supported circular cylindrical shells: theory and experiments', Nonlinear Dyn. Plates Shells ASME, AMD, Vol. 238 (2000) 73-84.
    • (2000) Nonlinear Dyn. Plates Shells ASME, AMD , vol.238 , pp. 73-84
    • Amabili, M.1    Pellicano, F.2    Païdoussis, M.P.3
  • 36
    • 0028516871 scopus 로고
    • Global transient dynamics of nonlinear parametrically excited systems
    • Soliman, M.S., 'Global transient dynamics of nonlinear parametrically excited systems', Nonlinear Dyn. 6 (1994) 317-329.
    • (1994) Nonlinear Dyn. , vol.6 , pp. 317-329
    • Soliman, M.S.1
  • 37
    • 0012045289 scopus 로고    scopus 로고
    • The influence of initial stresses and boundary restrains on the nonlinear vibrations of cylindrical shells
    • Evensen, D.A., 'The influence of initial stresses and boundary restrains on the nonlinear vibrations of cylindrical shells', in: Nonlinear Dyn. Plates Shells ASME, AMD, Vol. 238 (2000) 47-59.
    • (2000) Nonlinear Dyn. Plates Shells ASME, AMD , vol.238 , pp. 47-59
    • Evensen, D.A.1
  • 38
    • 0008494528 scopus 로고
    • Determining lyapunov exponents from a time series
    • Wolf, A., Swift, J.B., Swinney, H.L. and Vastano, J.A., 'Determining Lyapunov exponents from a time series', Physica D 16 (1985) 285-317.
    • (1985) Physica D , vol.16 , pp. 285-317
    • Wolf, A.1    Swift, J.B.2    Swinney, H.L.3    Vastano, J.A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.