메뉴 건너뛰기




Volumn 1, Issue 2, 2002, Pages 190-214

A multiparameter, numerical stability analysis of a standing cantilever conveying fluid

Author keywords

Aero elasticity; Beam flutter; Buckling; Numerical bifurcation analysis

Indexed keywords


EID: 2242425667     PISSN: 15360040     EISSN: 15360040     Source Type: Journal    
DOI: 10.1137/S1111111102400753     Document Type: Article
Times cited : (17)

References (26)
  • 1
    • 0019072146 scopus 로고
    • Hopf bifurcation phenomena in tubes carrying a fluid
    • A. K. BAJAJ, P. R. SETHNA, AND T. S. LUNDGREN, Hopf bifurcation phenomena in tubes carrying a fluid, SIAM J. Appl. Math., 39 (1980), pp. 213-230.
    • (1980) SIAM J. Appl. Math. , vol.39 , pp. 213-230
    • Bajaj, A.K.1    Sethna, P.R.2    Lundgren, T.S.3
  • 2
    • 0021409716 scopus 로고
    • Flow-induced bifurcations to three-dimensional oscillatory motions in continuous tubes
    • A. K. BAJAJ AND P. R. SETHNA, Flow-induced bifurcations to three-dimensional oscillatory motions in continuous tubes, SIAM J. Appl. Math., 44 (1984), pp. 270-286.
    • (1984) SIAM J. Appl. Math. , vol.44 , pp. 270-286
    • Bajaj, A.K.1    Sethna, P.R.2
  • 3
    • 0001506572 scopus 로고
    • Effect of symmetry-breaking on flow-induced oscillations in tubes
    • A. K. BAJAJ AND P. R. SETHNA, Effect of symmetry-breaking on flow-induced oscillations in tubes, J. Fluids and Structures, 5 (1991), pp. 651-679.
    • (1991) J. Fluids and Structures , vol.5 , pp. 651-679
    • Bajaj, A.K.1    Sethna, P.R.2
  • 4
    • 0000690224 scopus 로고
    • Dynamics of a system of articulated pipes conveying fluid. I. Theory
    • T. B. BENJAMIN, Dynamics of a system of articulated pipes conveying fluid. I. Theory, Proc. Roy. Soc. Ser. A, 261 (1961), pp. 457-486.
    • (1961) Proc. Roy. Soc. Ser. A , vol.261 , pp. 457-486
    • Benjamin, T.B.1
  • 5
    • 0000833147 scopus 로고
    • The threefold classification of disturbances inflexible surfaces bounding inviscid flows
    • T. B. BENJAMIN, The threefold classification of disturbances inflexible surfaces bounding inviscid flows, J. Fluid Mech., 16 (1963), pp. 436-450.
    • (1963) J. Fluid Mech. , vol.16 , pp. 436-450
    • Benjamin, T.B.1
  • 6
    • 21844504535 scopus 로고
    • Numerical analysis of homoclinic orbits emanating from Takens-Bogdanov point
    • W. J. BEYN, Numerical analysis of homoclinic orbits emanating from Takens-Bogdanov point, IMA J. Numer. Anal., 14 (1994), pp. 381-410.
    • (1994) IMA J. Numer. Anal. , vol.14 , pp. 381-410
    • Beyn, W.J.1
  • 10
    • 0001577644 scopus 로고
    • The calculation of high order singularities in the finite Taylor problem
    • Numerical Methods for Bifurcation Problems, Birkhäuser, Basel
    • K. A. CLIFFE AND A. SPENCE, The calculation of high order singularities in the finite Taylor problem, in Numerical Methods for Bifurcation Problems, Internat. Schriftenreihe Numer. Math. 70, Birkhäuser, Basel, 1984, pp. 129-144.
    • (1984) Internat. Schriftenreihe Numer. Math. , vol.70 , pp. 129-144
    • Cliffe, K.A.1    Spence, A.2
  • 13
    • 0002893048 scopus 로고
    • Lagrangian reduction and the double spherical pendulum
    • J. E. MARSDEN AND J. SCHEURLE, Lagrangian reduction and the double spherical pendulum, Z. Angew. Math. Phys., 44 (1993), pp. 17-43.
    • (1993) Z. Angew. Math. Phys. , vol.44 , pp. 17-43
    • Marsden, J.E.1    Scheurle, J.2
  • 14
    • 0000863468 scopus 로고
    • The calculation of turning points of nonlinear equations
    • G. MOORE AND A. SPENCE, The calculation of turning points of nonlinear equations, SIAM J. Numer. Anal., 17 (1980), pp. 567-576.
    • (1980) SIAM J. Numer. Anal. , vol.17 , pp. 567-576
    • Moore, G.1    Spence, A.2
  • 15
    • 0002828895 scopus 로고
    • Dynamics of tubular cantilevers conveying fluid
    • M. P. PAÏDOUSSIS, Dynamics of tubular cantilevers conveying fluid, J. Mech. Engrg. Sci., 12 (1970), pp. 85-103.
    • (1970) J. Mech. Engrg. Sci. , vol.12 , pp. 85-103
    • Païdoussis, M.P.1
  • 17
    • 0000163696 scopus 로고
    • Dynamics stability of pipes conveying fluid
    • M. P. PAÏDOUSSIS AND N. T. ISSID, Dynamics stability of pipes conveying fluid, J. Sound Vibration, 33 (1974), pp. 267-294.
    • (1974) J. Sound Vibration , vol.33 , pp. 267-294
    • Païdoussis, M.P.1    Issid, N.T.2
  • 18
    • 0027395434 scopus 로고
    • Pipes conveying fluid: A model dynamical problem
    • M. P. PAÏDOUSSIS AND G. X. LI, Pipes conveying fluid: A model dynamical problem, J. Fluids and Structures, 7 (1993), pp. 137-204.
    • (1993) J. Fluids and Structures , vol.7 , pp. 137-204
    • Païdoussis, M.P.1    Li, G.X.2
  • 19
    • 0023817127 scopus 로고
    • Bifurcation phenomena in Taylor-Couette flow in a very short annulus
    • G. PFISTER, H. SCHMIDT, K. A. CLIFFE, AND T. MULLIN, Bifurcation phenomena in Taylor-Couette flow in a very short annulus, J. Fluid Mech., 191 (1988), pp. 1-18.
    • (1988) J. Fluid Mech. , vol.191 , pp. 1-18
    • Pfister, G.1    Schmidt, H.2    Cliffe, K.A.3    Mullin, T.4
  • 21
  • 22
    • 0028762577 scopus 로고
    • The non-linear equations of motion of pipes conveying fluid
    • C. SEMLER, G. X. LI, AND M. P. PAÏDOUSSIS, The non-linear equations of motion of pipes conveying fluid, J. Sound Vibration, 169 (1994), pp. 577-599.
    • (1994) J. Sound Vibration , vol.169 , pp. 577-599
    • Semler, C.1    Li, G.X.2    Païdoussis, M.P.3
  • 23
    • 3042519700 scopus 로고
    • On the effects of asymmetries on a system near a codimension two point
    • F. M. A. Salam and M. Levi, eds., SIAM, Philadelphia
    • S. W. SHAW AND P. R. SETHNA, On the effects of asymmetries on a system near a codimension two point, in Dynamical Systems Approaches to Nonlinear Problems in Systems and Circuits, F. M. A. Salam and M. Levi, eds., SIAM, Philadelphia, 1988, pp. 317-332.
    • (1988) Dynamical Systems Approaches to Nonlinear Problems in Systems and Circuits , pp. 317-332
    • Shaw, S.W.1    Sethna, P.R.2
  • 24
    • 0023167367 scopus 로고
    • On codimension-three bifurcations in the motion of articulated tubes conveying a fluid
    • S. W. SHAW AND P. R. SETHNA, On codimension-three bifurcations in the motion of articulated tubes conveying a fluid, Phys. D, 24 (1987), pp. 305-327.
    • (1987) Phys. D , vol.24 , pp. 305-327
    • Shaw, S.W.1    Sethna, P.R.2
  • 25
    • 0021418315 scopus 로고
    • The computation of symmetry-breaking bifurcation points
    • B. WERNER AND A. SPENCE, The computation of symmetry-breaking bifurcation points, SIAM J. Numer. Anal., 21 (1984), pp. 388-399.
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 388-399
    • Werner, B.1    Spence, A.2
  • 26
    • 21844499256 scopus 로고
    • Steady-state Hopf mode interaction at a symmetry-breaking Takens-Bogdanov point
    • W. WU, A. SPENCE, AND K. A. CLIFFE, Steady-state Hopf mode interaction at a symmetry-breaking Takens-Bogdanov point, IMA J. Numer. Anal., 14 (1994), pp. 137-160.
    • (1994) IMA J. Numer. Anal. , vol.14 , pp. 137-160
    • Wu, W.1    Spence, A.2    Cliffe, K.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.