메뉴 건너뛰기




Volumn 80, Issue 3, 2001, Pages 281-337

Buckling of a heavy tapered rod

Author keywords

Bifurcation; Elastica; Nonlinear eigenvalue problem

Indexed keywords


EID: 0009908053     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-7824(00)01196-X     Document Type: Article
Times cited : (23)

References (29)
  • 1
    • 0041566706 scopus 로고
    • Qualitative theory of the ordinary differential equations of nonlinear elasticity
    • S. Nemat-Nasser. Pergamon Press
    • Antman S.S. Qualitative theory of the ordinary differential equations of nonlinear elasticity. Nemat-Nasser S. Mechanics Today, Vol. 1, 1972. 1974;Pergamon Press.
    • (1974) Mechanics Today, Vol. 1, 1972
    • Antman, S.S.1
  • 4
    • 0009955053 scopus 로고
    • Methodus universalis determinandae curvaturae fili a potentiis quamcunque legem inter se observantibus extensi, una cum solutione problematum quorundam novorum eo pertinentium
    • Bernoulli D. Methodus universalis determinandae curvaturae fili a potentiis quamcunque legem inter se observantibus extensi, una cum solutione problematum quorundam novorum eo pertinentium. Comm. Acad. Sci. Petrop. 8:1728;62-69.
    • (1728) Comm. Acad. Sci. Petrop. , vol.8 , pp. 62-69
    • Bernoulli, D.1
  • 5
    • 0001550582 scopus 로고
    • Existence and bifurcation theorems for nonlinear elliptic eigenvalue problems on unbounded domains
    • Bongers A.L., Heinz H.-P., Küpper T. Existence and bifurcation theorems for nonlinear elliptic eigenvalue problems on unbounded domains. J. Differential Equations. 47:1983;327-357.
    • (1983) J. Differential Equations , vol.47 , pp. 327-357
    • Bongers, A.L.1    Heinz, H.-P.2    Küpper, T.3
  • 7
    • 0002224090 scopus 로고
    • A variant of the Ljusternik-Schnirelman theory
    • Clark D.C. A variant of the Ljusternik-Schnirelman theory. Indiana Univ. Math. J. 22:1972;65-74.
    • (1972) Indiana Univ. Math. J. , vol.22 , pp. 65-74
    • Clark, D.C.1
  • 8
    • 0032366067 scopus 로고    scopus 로고
    • The shape of the tallest column
    • Cox S.J., McCarthy. The shape of the tallest column. SIAM J. Math. Anal. 29:1998;547-554.
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 547-554
    • Cox, S.J.1    McCarthy2
  • 9
    • 0012018699 scopus 로고
    • Nonlinear Sturm-Liouville problems and topological degree
    • Crandall M.G., Rabinowitz P.H. Nonlinear Sturm-Liouville problems and topological degree. J. Math. Mech. 19:1970;1083-1102.
    • (1970) J. Math. Mech. , vol.19 , pp. 1083-1102
    • Crandall, M.G.1    Rabinowitz, P.H.2
  • 12
    • 0002700271 scopus 로고
    • Determinatio onerum, quae columnae gestare valent
    • Euler L. Determinatio onerum, quae columnae gestare valent. Acta Acad. Sci. Petrop. 2:1778;121-145.
    • (1778) Acta Acad. Sci. Petrop. , vol.2 , pp. 121-145
    • Euler, L.1
  • 13
    • 0002340676 scopus 로고
    • De altitudine columnarum sub proprio pondere corrueuntium
    • Euler L. De altitudine columnarum sub proprio pondere corrueuntium. Acta Acad. Sci. Petrop. 2:1778;163-193.
    • (1778) Acta Acad. Sci. Petrop. , vol.2 , pp. 163-193
    • Euler, L.1
  • 14
    • 0002702168 scopus 로고
    • Determination of the greatest height consistent with stability that a vertical pole or mast can be made, and of the greatest height to which a tree of given proportions can grow
    • Greenhill A.G. Determination of the greatest height consistent with stability that a vertical pole or mast can be made, and of the greatest height to which a tree of given proportions can grow. Proc. Cambridge Phil. Soc. 4:1881;65-73.
    • (1881) Proc. Cambridge Phil. Soc. , vol.4 , pp. 65-73
    • Greenhill, A.G.1
  • 16
    • 0001327974 scopus 로고
    • Free Ljusternik-Schnirelman theory and the bifurcation diagrams of certain singular nonlinear problems
    • Heinz H.-P. Free Ljusternik-Schnirelman theory and the bifurcation diagrams of certain singular nonlinear problems. J. Differential Equations. 66:1987;263-300.
    • (1987) J. Differential Equations , vol.66 , pp. 263-300
    • Heinz, H.-P.1
  • 17
    • 0041747441 scopus 로고
    • Bifurcation from the Essential Spectrum and Variational Techniques
    • Athens, Ohio: Ohio University Press
    • Heinz H.-P. Bifurcation from the Essential Spectrum and Variational Techniques. Differential Equations and Applications. 1989;Ohio University Press, Athens, Ohio.
    • (1989) Differential Equations and Applications
    • Heinz, H.-P.1
  • 22
    • 36448974335 scopus 로고
    • Some global results for nonlinear eigenvalue problems
    • Rabinowitz P.H. Some global results for nonlinear eigenvalue problems. J. Funct. Anal. 7:1971;487-513.
    • (1971) J. Funct. Anal. , vol.7 , pp. 487-513
    • Rabinowitz, P.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.