메뉴 건너뛰기




Volumn 82, Issue 31-32, 2004, Pages 2621-2634

Effect of non-linear modal interaction on the dynamic instability of axially excited cylindrical shells

Author keywords

Cylindrical shells; Modal coupling; Modal interaction; Non linear vibration; Parametric instability

Indexed keywords

BIFURCATION (MATHEMATICS); BUCKLING; DYNAMIC LOADS; GALERKIN METHODS; MATHEMATICAL MODELS; NATURAL FREQUENCIES; NONLINEAR SYSTEMS; STRUCTURAL LOADS; VIBRATION CONTROL;

EID: 10044294640     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2004.04.020     Document Type: Article
Times cited : (37)

References (41)
  • 1
    • 0000036655 scopus 로고
    • The buckling of thin cylindrical shells under axial compression
    • Von Kármán T, Tsien SH. The buckling of thin cylindrical shells under axial compression. J Appl Mech Sci 1941;8(8):303-12.
    • (1941) J Appl Mech Sci , vol.8 , Issue.8 , pp. 303-312
    • Von Kármán, T.1    Tsien, S.H.2
  • 4
    • 85003265852 scopus 로고
    • Dynamic stability of cylindrical shells under static and periodic axial and radial loads
    • Yao JC. Dynamic stability of cylindrical shells under static and periodic axial and radial loads. AIAA J 1963;1:1391-6.
    • (1963) AIAA J , vol.1 , pp. 1391-1396
    • Yao, J.C.1
  • 5
    • 85013663972 scopus 로고
    • Parametric instability of circular cylindrical shells
    • Vijayaraghavan A, Evan-Iwanowski RM. Parametric instability of circular cylindrical shells. J Appl Mech 1967:34:985-90.
    • (1967) J Appl Mech , vol.34 , pp. 985-990
    • Vijayaraghavan, A.1    Evan-Iwanowski, R.M.2
  • 6
    • 0012840473 scopus 로고
    • On parametric excitation and snap-through stability problems of shells
    • Fung YC, Sechler EE, editors. New Jersey: Prentice-Hall
    • Hsu CS. On parametric excitation and snap-through stability problems of shells. In: Fung YC, Sechler EE, editors. Thin-shell structures. New Jersey: Prentice-Hall; 1974.
    • (1974) Thin-shell Structures
    • Hsu, C.S.1
  • 7
    • 0018263218 scopus 로고
    • Dynamic stability of circular cylindrical shells under periodic compressive forces
    • Nagai K, Yamaki N. Dynamic stability of circular cylindrical shells under periodic compressive forces. J Sound Vibr 1978;58:425-41.
    • (1978) J Sound Vibr , vol.58 , pp. 425-441
    • Nagai, K.1    Yamaki, N.2
  • 8
    • 0023965956 scopus 로고
    • Parametric instability of thick orthotropic, circular cylindrical shells
    • Bert CW, Birman V. Parametric instability of thick orthotropic, circular cylindrical shells. Acta Mech 1988; 71:61-76.
    • (1988) Acta Mech , vol.71 , pp. 61-76
    • Bert, C.W.1    Birman, V.2
  • 9
    • 84965395429 scopus 로고
    • Dynamic stability of a composite circular cylindrical shell subjected to combined axial and torsional loading
    • Argento A. Dynamic stability of a composite circular cylindrical shell subjected to combined axial and torsional loading. J Comp Mater 1993;27:1722-38.
    • (1993) J Comp Mater , vol.27 , pp. 1722-1738
    • Argento, A.1
  • 10
    • 0000281999 scopus 로고    scopus 로고
    • Dynamic stability of cylindrical shells subjected to conservative periodic axial loads using different shell theories
    • Lam YK, Ng TY. Dynamic stability of cylindrical shells subjected to conservative periodic axial loads using different shell theories. J Sound Vibr 1997;207(4):497-520.
    • (1997) J Sound Vibr , vol.207 , Issue.4 , pp. 497-520
    • Lam, Y.K.1    Ng, T.Y.2
  • 11
    • 85013640868 scopus 로고
    • Nonlinear elastic buckling and parametric excitation of a cylinder under axial loads
    • Yao YC. Nonlinear elastic buckling and parametric excitation of a cylinder under axial loads. J Appl Mech 1965;32:109-15.
    • (1965) J Appl Mech , vol.32 , pp. 109-115
    • Yao, Y.C.1
  • 12
    • 0000645183 scopus 로고
    • Dynamic response of finite-length cylindrical shells to nearly uniform radial impulse
    • McIvor KI, Lovell EG. Dynamic response of finite-length cylindrical shells to nearly uniform radial impulse. AIAA J 1968;6:2346-51.
    • (1968) AIAA J , vol.6 , pp. 2346-2351
    • McIvor, K.I.1    Lovell, E.G.2
  • 14
    • 0015974660 scopus 로고
    • Effect of longitudinal resonance on the parametric stability of an axially excited cylindrical shell
    • Koval LR. Effect of longitudinal resonance on the parametric stability of an axially excited cylindrical shell. J Acoust Soc Am 1974;55(1):91-7.
    • (1974) J Acoust Soc Am , vol.55 , Issue.1 , pp. 91-97
    • Koval, L.R.1
  • 15
    • 0027907117 scopus 로고
    • Dynamic stability and non-linear parametric vibration of cylindrical shells
    • Kovtunov VB. Dynamic stability and non-linear parametric vibration of cylindrical shells. Comput Struct 1993; 46(1): 149-56.
    • (1993) Comput Struct , vol.46 , Issue.1 , pp. 149-156
    • Kovtunov, V.B.1
  • 16
    • 0001706860 scopus 로고    scopus 로고
    • Low dimensional models of shell vibrations. Parametrically excited vibrations of cylindrical shells
    • Popov AA, Thompson JMT, McRobie FA. Low dimensional models of shell vibrations. Parametrically excited vibrations of cylindrical shells. J Sound Vibr 1998;209(1): 163-86.
    • (1998) J Sound Vibr , vol.209 , Issue.1 , pp. 163-186
    • Popov, A.A.1    Thompson, J.M.T.2    McRobie, F.A.3
  • 17
    • 0036902950 scopus 로고    scopus 로고
    • Nonlinear oscillations and stability of parametrically excited cylindrical shells
    • Gonçalves PB, Del Prado ZJNG. Nonlinear oscillations and stability of parametrically excited cylindrical shells. Mechanica 2002;37:569-97.
    • (2002) Mechanica , vol.37 , pp. 569-597
    • Gonçalves, P.B.1    Del Prado, Z.J.N.G.2
  • 18
    • 0038659901 scopus 로고    scopus 로고
    • Stability and vibration of empty and fluid-filled circular cylindrical shells under static and periodic axial loads
    • Pellicano F, Amabili M. Stability and vibration of empty and fluid-filled circular cylindrical shells under static and periodic axial loads. Int J Solids Struct 2003;40:3229-51.
    • (2003) Int J Solids Struct , vol.40 , pp. 3229-3251
    • Pellicano, F.1    Amabili, M.2
  • 19
    • 0022888791 scopus 로고
    • Hidden symmetry concepts in the elastic buckling of axially loaded cylinders
    • Hunt GW, Williams KAJ, Cowell RG. Hidden symmetry concepts in the elastic buckling of axially loaded cylinders. Int J Solid Struct 1986;22:1501-15.
    • (1986) Int J Solid Struct , vol.22 , pp. 1501-1515
    • Hunt, G.W.1    Williams, K.A.J.2    Cowell, R.G.3
  • 21
    • 85024529756 scopus 로고
    • The normal modes of non-linear N-degree-of-freedom systems
    • Rosenberg RM. The normal modes of non-linear N-degree-of-freedom systems. J Appl Mech 1962;29:7-14.
    • (1962) J Appl Mech , vol.29 , pp. 7-14
    • Rosenberg, R.M.1
  • 22
    • 0343442545 scopus 로고    scopus 로고
    • Nonlinear normal modes of planar frames discretised by the finite element method
    • Scares MES, Mazzilli CEN. Nonlinear normal modes of planar frames discretised by the finite element method. Comput Struct 2000; 77:458-93.
    • (2000) Comput Struct , vol.77 , pp. 458-493
    • Scares, M.E.S.1    Mazzilli, C.E.N.2
  • 23
    • 0035284245 scopus 로고    scopus 로고
    • Reduction of finite-element models of planar frames using nonlinear normal modes
    • Mazzilli CEN, Scares MES, Baracho Neto OGP. Reduction of finite-element models of planar frames using nonlinear normal modes. Int J Solid Struct 2001;38:1993-2008.
    • (2001) Int J Solid Struct , vol.38 , pp. 1993-2008
    • Mazzilli, C.E.N.1    Scares, M.E.S.2    Baracho Neto, O.G.P.3
  • 24
    • 0037411955 scopus 로고    scopus 로고
    • Resonant nonlinear normal modes. Part I: Analytical treatment for structural one-dimensional systems
    • Lacarbonara W, Rega G, Nayfeh AH. Resonant nonlinear normal modes. Part I: analytical treatment for structural one-dimensional systems. Int J Non-Linear Mech 2003;38:851-72.
    • (2003) Int J Non-Linear Mech , vol.38 , pp. 851-872
    • Lacarbonara, W.1    Rega, G.2    Nayfeh, A.H.3
  • 25
    • 0000766816 scopus 로고
    • Influence of large amplitudes on flexural vibrations of a thin circular cylindrical shell
    • Chu HN, Influence of large amplitudes on flexural vibrations of a thin circular cylindrical shell. J Aerospace Sci 1961;28:602-9.
    • (1961) J Aerospace Sci , vol.28 , pp. 602-609
    • Chu, H.N.1
  • 26
    • 0001833786 scopus 로고
    • Nonlinear vibrations of circular cylindrical shells
    • Fung YC, Sechler EE, editors. Englewood Cliffs, NJ: Prentice-Hall
    • Evensen DA. Nonlinear vibrations of circular cylindrical shells. In: Fung YC, Sechler EE, editors. Thin walled structures: theory, experiments and design. Englewood Cliffs, NJ: Prentice-Hall; 1990. p. 133-55.
    • (1990) Thin Walled Structures: Theory, Experiments and Design , pp. 133-155
    • Evensen, D.A.1
  • 27
    • 44649112263 scopus 로고
    • Modal equations for the non-linear flexural vibrations of a cylindrical shell
    • Dowell LH, Ventres CS. Modal equations for the non-linear flexural vibrations of a cylindrical shell. Int J Solids Struct 1968;4:975-91.
    • (1968) Int J Solids Struct , vol.4 , pp. 975-991
    • Dowell, L.H.1    Ventres, C.S.2
  • 28
    • 0001585013 scopus 로고
    • A perturbation analysis of non-linear free flexural vibrations of a circular cylindrical shell
    • Atluri S. A perturbation analysis of non-linear free flexural vibrations of a circular cylindrical shell. Int J Solids Struct 1972;8:549-69.
    • (1972) Int J Solids Struct , vol.8 , pp. 549-569
    • Atluri, S.1
  • 29
    • 0016034701 scopus 로고
    • Nonlinear axisymmetric free vibration in simply supported cylindrical shells
    • ASME
    • Ginsberg JH. Nonlinear axisymmetric free vibration in simply supported cylindrical shells. J Appl Mech, ASME 1974:41:310-1.
    • (1974) J Appl Mech , vol.41 , pp. 310-311
    • Ginsberg, J.H.1
  • 30
    • 0016464381 scopus 로고
    • Nonlinear vibration of cylindrical shells
    • Chen JC, Babcock CD. Nonlinear vibration of cylindrical shells. AIAA J 1975; 13:868-76.
    • (1975) AIAA J , vol.13 , pp. 868-876
    • Chen, J.C.1    Babcock, C.D.2
  • 31
    • 0024107487 scopus 로고
    • Non-linear vibration analysis of fluid-filled cylindrical shells
    • Gonçalves PB, Batista RC. Non-linear vibration analysis of fluid-filled cylindrical shells. J Sound Vibr 1988; 127: 133-43.
    • (1988) J Sound Vibr , vol.127 , pp. 133-143
    • Gonçalves, P.B.1    Batista, R.C.2
  • 32
    • 0024731763 scopus 로고
    • Nonlinear free flexural vibration of thin circular cylindrical shells
    • Varadan TK, Prathap G, Ramani HV. Nonlinear free flexural vibration of thin circular cylindrical shells. AIAA J 1989;27:1303-4.
    • (1989) AIAA J , vol.27 , pp. 1303-1304
    • Varadan, T.K.1    Prathap, G.2    Ramani, H.V.3
  • 33
    • 0001413860 scopus 로고    scopus 로고
    • Nonlinear vibrations of simply supported, circular cylindrical shells, coupled to quiescent fluid
    • Amabili M, Pellicano F, Païdoussis MP. Nonlinear vibrations of simply supported, circular cylindrical shells, coupled to quiescent fluid. J Fluids Struct 1998;12:883-918.
    • (1998) J Fluids Struct , vol.12 , pp. 883-918
    • Amabili, M.1    Pellicano, F.2    Païdoussis, M.P.3
  • 34
    • 0035311886 scopus 로고    scopus 로고
    • Nonlinear supersonic flutter of circular cylindrical shells
    • Amabili M, Pellicano F. Nonlinear supersonic flutter of circular cylindrical shells. AIAA J 2001;39:564-73.
    • (2001) AIAA J , vol.39 , pp. 564-573
    • Amabili, M.1    Pellicano, F.2
  • 35
    • 0019697088 scopus 로고
    • Explicit lower bounds for the buckling of axially loaded cylinders
    • Croll JGA, Batista RC. Explicit lower bounds for the buckling of axially loaded cylinders. Int J Mech Sci 1981; 23:331-43.
    • (1981) Int J Mech Sci , vol.23 , pp. 331-343
    • Croll, J.G.A.1    Batista, R.C.2
  • 36
    • 85148696081 scopus 로고
    • A new theory for the buckling of thin cylinders under axial compression and bending
    • Donnell LH. A new theory for the buckling of thin cylinders under axial compression and bending. Trans ASME 1934;56:795.
    • (1934) Trans ASME , vol.56 , pp. 795
    • Donnell, L.H.1
  • 37
    • 10044262486 scopus 로고    scopus 로고
    • The influence of initial stresses and boundary restrains on the non-linear vibrations of cylindrical shells
    • Païdoussis MP, Amabili M, Gonçalves PB, editors. AMD New York: ASME
    • Evensen DA. The influence of initial stresses and boundary restrains on the non-linear vibrations of cylindrical shells. In: Païdoussis MP, Amabili M, Gonçalves PB, editors. Nonlinear dynamics of shells and plates, AMD-vol. 238. New York: ASME; 2000.
    • (2000) Nonlinear Dynamics of Shells and Plates , vol.238
    • Evensen, D.A.1
  • 38
    • 0028516871 scopus 로고
    • Global transient dynamics of non-linear parametrically excited systems
    • Soliman MS. Global transient dynamics of non-linear parametrically excited systems. Nonlinear Dyn 1994;6:317-29.
    • (1994) Nonlinear Dyn , vol.6 , pp. 317-329
    • Soliman, M.S.1
  • 39
    • 0037251473 scopus 로고    scopus 로고
    • Chaotic behavior resulting in transient and steady state instabilities of pressure-loaded shallow spherical shells
    • Soliman MS, Gonçalves PB. Chaotic behavior resulting in transient and steady state instabilities of pressure-loaded shallow spherical shells. J Sound Vibr 2003;259(3):497-512.
    • (2003) J Sound Vibr , vol.259 , Issue.3 , pp. 497-512
    • Soliman, M.S.1    Gonçalves, P.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.