메뉴 건너뛰기




Volumn 180, Issue 1-4, 2005, Pages 133-156

Free in-plane vibrations of highly buckled beams carrying a lumped mass

Author keywords

[No Author keywords available]

Indexed keywords

BUCKLING; FINITE ELEMENT METHOD; GALERKIN METHODS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; VIBRATIONS (MECHANICAL);

EID: 29144437762     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-005-0259-6     Document Type: Article
Times cited : (17)

References (34)
  • 1
    • 0001179842 scopus 로고
    • The lowest frequency of circular arcs
    • Den Hartog, J. P.: The lowest frequency of circular arcs. Phil. Mag. 5, 400-408 (1928).
    • (1928) Phil. Mag. , vol.5 , pp. 400-408
    • Den Hartog, J.P.1
  • 2
    • 85023645594 scopus 로고
    • In-plane flexural vibrations of circular rings
    • Rao, S. S., Sundararajan, V.: In-plane flexural vibrations of circular rings. J. Appl. Mech. 36, 620-625 (1969).
    • (1969) J. Appl. Mech. , vol.36 , pp. 620-625
    • Rao, S.S.1    Sundararajan, V.2
  • 3
    • 17444448102 scopus 로고    scopus 로고
    • Exact solution of in-plane vibrations of circular arches with account taken of axial extension, transverse shear and rotatory inertia effects
    • Tufekci, E., Arpaci, A.: Exact solution of in-plane vibrations of circular arches with account taken of axial extension, transverse shear and rotatory inertia effects. J. Sound Vibr. 209, 845-856 (1998).
    • (1998) J. Sound Vibr. , vol.209 , pp. 845-856
    • Tufekci, E.1    Arpaci, A.2
  • 4
    • 0029323788 scopus 로고
    • Influence of centerline extensibility on the in-plane free vibrations of loaded circular arches
    • Chidamparam, P., Leissa, A. W.: Influence of centerline extensibility on the in-plane free vibrations of loaded circular arches. J. Sound Vibr. 183, 779-795 (1995).
    • (1995) J. Sound Vibr. , vol.183 , pp. 779-795
    • Chidamparam, P.1    Leissa, A.W.2
  • 5
    • 0024051713 scopus 로고
    • Green's function solution for arch vibration
    • Mau, S. T., Williams, A. N.: Green's function solution for arch vibration. J. Eng. Mech. 114, 1259-1264 (1988).
    • (1988) J. Eng. Mech. , vol.114 , pp. 1259-1264
    • Mau, S.T.1    Williams, A.N.2
  • 6
    • 0015215480 scopus 로고
    • Free vibration of a curved beam
    • Petyt, M., Fleischer, C. C.: Free vibration of a curved beam. J. Sound Vibr. 18, 17-30 (1971).
    • (1971) J. Sound Vibr. , vol.18 , pp. 17-30
    • Petyt, M.1    Fleischer, C.C.2
  • 7
    • 0022027286 scopus 로고
    • The curved beam/deep arch/finite ring element revisited
    • Prathap, G.: The curved beam/deep arch/finite ring element revisited. Int. J. Numer. Meth. Engng. 21, 389-497 (1985).
    • (1985) Int. J. Numer. Meth. Engng. , vol.21 , pp. 389-497
    • Prathap, G.1
  • 8
    • 0029640498 scopus 로고
    • Curvature-based beam elements for the analysis of Timoshenko and shear-deformable curved beams
    • Yang, S. Y., Sin, H. C.: Curvature-based beam elements for the analysis of Timoshenko and shear-deformable curved beams. J. Sound Vibr. 187, 569-584 (1995).
    • (1995) J. Sound Vibr. , vol.187 , pp. 569-584
    • Yang, S.Y.1    Sin, H.C.2
  • 9
    • 0030146370 scopus 로고    scopus 로고
    • In-plane vibration and stability of shallow circular arches subjected to axial forces
    • Grosh, K., Pinsky, P. M.: In-plane vibration and stability of shallow circular arches subjected to axial forces. Comput. Meth. Appl. Mech. Engng. 132, 1-16 (1996).
    • (1996) Comput. Meth. Appl. Mech. Engng. , vol.132 , pp. 1-16
    • Grosh, K.1    Pinsky, P.M.2
  • 10
    • 0030567729 scopus 로고    scopus 로고
    • Vibration and buckling analysis of circular arches using DQM
    • Kang, K. J., Bert, C. W., Striz, A. G.: Vibration and buckling analysis of circular arches using DQM. Comput. Struct. 60, 49-57 (1996).
    • (1996) Comput. Struct. , vol.60 , pp. 49-57
    • Kang, K.J.1    Bert, C.W.2    Striz, A.G.3
  • 11
    • 0030086036 scopus 로고    scopus 로고
    • In-plane vibration and stability of shallow circular arches subjected to axial forces
    • Matsunaga, K.: In-plane vibration and stability of shallow circular arches subjected to axial forces. Int. J. Solids Struct. 33, 469-482 (1996).
    • (1996) Int. J. Solids Struct. , vol.33 , pp. 469-482
    • Matsunaga, K.1
  • 12
    • 0012503874 scopus 로고    scopus 로고
    • Free vibrations of non-circular arches with nonuniform crosssection
    • Oh, S-J., Lee, B. K., Lee I-W.: Free vibrations of non-circular arches with nonuniform crosssection. Int. J. Solids Struct. 37, 4871-4891 (2000).
    • (2000) Int. J. Solids Struct. , vol.37 , pp. 4871-4891
    • Oh, S.-J.1    Lee, B.K.2    Lee, I.-W.3
  • 13
    • 0025460858 scopus 로고
    • Planar vibration of an elastica arch: Theory and experiment
    • Perkins, N. C.: Planar vibration of an elastica arch: theory and experiment. J. Vibr. Acoust. 112, 374-379 (1990).
    • (1990) J. Vibr. Acoust. , vol.112 , pp. 374-379
    • Perkins, N.C.1
  • 14
    • 0000411375 scopus 로고
    • Supercritical stability of an axially moving beam, part I: Model and equilibrium analysis
    • Hwang, S.-J., Perkins, N. C.: Supercritical stability of an axially moving beam, part I: model and equilibrium analysis. J. Sound Vibr. 154(3), 381-396 (1992).
    • (1992) J. Sound Vibr. , vol.154 , Issue.3 , pp. 381-396
    • Hwang, S.-J.1    Perkins, N.C.2
  • 15
    • 38249012343 scopus 로고
    • Supercritical stability of an axially moving beam, part II: Vibration and stability analyses
    • Hwang, S.-J., Perkins, N. C.: Supercritical stability of an axially moving beam, part II: vibration and stability analyses. J. Sound Vibr. 154(3), 397-409 (1992).
    • (1992) J. Sound Vibr. , vol.154 , Issue.3 , pp. 397-409
    • Hwang, S.-J.1    Perkins, N.C.2
  • 16
    • 0028043065 scopus 로고
    • High speed stability of coupled band/wheel systems: Theory and experiment
    • Hwang, S.-J., Perkins, N. C.: High speed stability of coupled band/wheel systems: theory and experiment. J. Sound Vibr. 169(4), 459-483 (1994).
    • (1994) J. Sound Vibr. , vol.169 , Issue.4 , pp. 459-483
    • Hwang, S.-J.1    Perkins, N.C.2
  • 17
    • 0003350042 scopus 로고
    • Dynamic buckling
    • (Flugge, W., ed.). New York: McGraw-Hill
    • Mettler, E.: Dynamic buckling. In: Handbook of engineering mechanics (Flugge, W., ed.). New York: McGraw-Hill 1962.
    • (1962) Handbook of Engineering Mechanics
    • Mettler, E.1
  • 18
    • 0029322444 scopus 로고
    • Investigation of natural frequencies and mode shapes of buckled beams
    • Nayfeh, A. H., Kreider, W., Anderson, T. J.: Investigation of natural frequencies and mode shapes of buckled beams. AIAA J. 33, 1121-1126 (1995).
    • (1995) AIAA J. , vol.33 , pp. 1121-1126
    • Nayfeh, A.H.1    Kreider, W.2    Anderson, T.J.3
  • 19
    • 0032180345 scopus 로고    scopus 로고
    • Experimental validation of reduction methods for weakly nonlinear distributed-parameter systems: Analysis of a buckled beam
    • Lacarbonara, W., Nayfeh, A. H., Kreider, W.: Experimental validation of reduction methods for weakly nonlinear distributed-parameter systems: Analysis of a buckled beam. Nonlin. Dyn. 17, 95-117 (1998).
    • (1998) Nonlin. Dyn. , vol.17 , pp. 95-117
    • Lacarbonara, W.1    Nayfeh, A.H.2    Kreider, W.3
  • 23
    • 0041938714 scopus 로고    scopus 로고
    • High performance vibration isolation using spring in Euler column buckling mode
    • Winterflood, J., Barber, T., Slagmolen, B.: High performance vibration isolation using spring in Euler column buckling mode. Phys. Lett. A 300, 122-130 (2002).
    • (2002) Phys. Lett. A , vol.300 , pp. 122-130
    • Winterflood, J.1    Barber, T.2    Slagmolen, B.3
  • 24
    • 0037422138 scopus 로고    scopus 로고
    • Vibration isolation using buckled structures
    • Virgin, L. N., Davis, R. B.: Vibration isolation using buckled structures. J. Sound Vibr. 260, 965-973 (2003).
    • (2003) J. Sound Vibr. , vol.260 , pp. 965-973
    • Virgin, L.N.1    Davis, R.B.2
  • 26
    • 1342264180 scopus 로고    scopus 로고
    • Modeling of planar non-shallow prestressed beams towards asymptotic solutions
    • Lacarbonara, W., Paolone, A., Yabuno, H.: Modeling of planar non-shallow prestressed beams towards asymptotic solutions. Mech. Res. Commun. 31, 301-310 (2004).
    • (2004) Mech. Res. Commun. , vol.31 , pp. 301-310
    • Lacarbonara, W.1    Paolone, A.2    Yabuno, H.3
  • 28
    • 18444413238 scopus 로고    scopus 로고
    • On the linear normal modes of planar pre-stressed curved beams
    • Addessi, D., Lacarbonara, W., Paolone, A.: On the linear normal modes of planar pre-stressed curved beams. J. Sound Vibr. 284(3-5), 1075-1097 (2005).
    • (2005) J. Sound Vibr. , vol.284 , Issue.3-5 , pp. 1075-1097
    • Addessi, D.1    Lacarbonara, W.2    Paolone, A.3
  • 31
    • 0022792209 scopus 로고
    • A three-dimensional finite strain rod model. Part II: Geometric and computational aspects
    • Simo, J.C., Vu-Quoc, L.: A three-dimensional finite strain rod model. Part II: Geometric and computational aspects. Comput. Meth. Appl. Mech. Engng. 58, 79-116 (1986).
    • (1986) Comput. Meth. Appl. Mech. Engng. , vol.58 , pp. 79-116
    • Simo, J.C.1    Vu-Quoc, L.2
  • 32
    • 0023964748 scopus 로고
    • On the dynamics in space of rods undergoing large motions-a geometrically exact approach
    • Simo, J.C., Vu-Quoc, L.: On the dynamics in space of rods undergoing large motions-a geometrically exact approach. Comput. Meth. Appl. Mech. Engng. 66, 125-161 (1988).
    • (1988) Comput. Meth. Appl. Mech. Engng. , vol.66 , pp. 125-161
    • Simo, J.C.1    Vu-Quoc, L.2
  • 33
    • 0003541648 scopus 로고    scopus 로고
    • Berkeley, CA: Department of Civil and Environmental Engineering, University of California
    • Taylor, R. L.: FEAP-A finite element analysis program, version 7.4. Berkeley, CA: Department of Civil and Environmental Engineering, University of California 2002.
    • (2002) FEAP-A Finite Element Analysis Program, Version 7.4
    • Taylor, R.L.1
  • 34
    • 34250416240 scopus 로고
    • On a curve veering aberation
    • Leissa, A. W.: On a curve veering aberation. Z. Angew. Math. Phys. 25, 99-111 (1974).
    • (1974) Z. Angew. Math. Phys. , vol.25 , pp. 99-111
    • Leissa, A.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.