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Volumn 47, Issue 5, 1996, Pages 809-816

Stability of axial motions of nonlinearly elastic loops

Author keywords

Axial motion; Elastic string; Energy momentum; Stability

Indexed keywords


EID: 0030488982     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00915277     Document Type: Article
Times cited : (6)

References (13)
  • 1
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    • Dichman, D.J.1    Maddocks, J.H.2
  • 2
    • 0030298714 scopus 로고    scopus 로고
    • Hamiltonian dynamics of an elastica and stability of solitary waves
    • to appear
    • D. J. Dichman, J. H. Maddocks and R. L. Pego, Hamiltonian dynamics of an elastica and stability of solitary waves. to appear Arch. Rat. Mech. Anal. (1996).
    • (1996) Arch. Rat. Mech. Anal.
    • Dichman, D.J.1    Maddocks, J.H.2    Pego, R.L.3
  • 3
    • 0000468151 scopus 로고
    • Stability theory of solitary waves in the presence of symmetry, I
    • M. Grillakis, J. Shatah and W. Strauss, Stability theory of solitary waves in the presence of symmetry, I. J. Functional Anal. 74 (1987), 160-196.
    • (1987) J. Functional Anal. , vol.74 , pp. 160-196
    • Grillakis, M.1    Shatah, J.2    Strauss, W.3
  • 4
    • 0001137421 scopus 로고
    • Stability and bifurcation of rotating nonlinearly elastic loops
    • T. J. Healey, Stability and bifurcation of rotating nonlinearly elastic loops. Q. Appl. Math. 48 (1990), 679-698.
    • (1990) Q. Appl. Math. , vol.48 , pp. 679-698
    • Healey, T.J.1
  • 5
    • 0025494657 scopus 로고
    • Steady axial motions of strings
    • T. J. Healey and J. Papadopoulos, Steady axial motions of strings. J. Appl. Mech. 57 (1990), 785-787.
    • (1990) J. Appl. Mech. , vol.57 , pp. 785-787
    • Healey, T.J.1    Papadopoulos, J.2
  • 7
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    • Cambridge University Press, Cambridge
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    • (1906) Theoretical Mechanics
    • Love, A.E.H.1
  • 8
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    • On the stability of relative equilibria
    • J. H. Maddocks, On the stability of relative equilibria. IMA J. Appl. Math. 46 (1991), 71-99.
    • (1991) IMA J. Appl. Math. , vol.46 , pp. 71-99
    • Maddocks, J.H.1
  • 10
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    • personal communication.
    • J. Papadopoulos, personal communication.
    • Papadopoulos, J.1
  • 11
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    • The hamiltonian structure of elasticity. The material and convective representation of solids, rods and plates
    • J. C. Simo, J.E. Marsden and P.S. Krishnaprasad, The Hamiltonian Structure of Elasticity. The Material and Convective Representation of Solids, Rods and Plates. A.R.M.A. 104 (1988), 125-183.
    • (1988) A.R.M.A. , vol.104 , pp. 125-183
    • Simo, J.C.1    Marsden, J.E.2    Krishnaprasad, P.S.3
  • 12
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    • Stability of coupled rigid bodies and geometrically exact rods
    • J. C. Simo, T. A. Posbergh and J. E. Marsden, Stability of coupled rigid bodies and geometrically exact rods. Physics Reports 193 (1990), 280-360.
    • (1990) Physics Reports , vol.193 , pp. 280-360
    • Simo, J.C.1    Posbergh, T.A.2    Marsden, J.E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.