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Volumn 76, Issue 9-10, 2006, Pages 525-536

Nonlinear asymptotic analysis in elastica of straight bars-analytical parametric solutions

Author keywords

Asymptotic analysis; Buckling analysis; Elastica of bars; Nonlinear ODEs; Parametric solutions

Indexed keywords

ASYMPTOTIC STABILITY; BUCKLING; NONLINEAR SYSTEMS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

EID: 33750727999     PISSN: 09391533     EISSN: 14320681     Source Type: Journal    
DOI: 10.1007/s00419-006-0054-4     Document Type: Article
Times cited : (4)

References (11)
  • 1
    • 0021441550 scopus 로고
    • A parametric solution to the elastica pole-vaulting pole problem
    • Griner, G.M.: A parametric solution to the elastica pole-vaulting pole problem. J. Appl. Mech. ASMB 51, 409-414 (1984)
    • (1984) J. Appl. Mech. ASMB , vol.51 , pp. 409-414
    • Griner, G.M.1
  • 4
    • 38249029630 scopus 로고
    • Large deflections of buckled bars under distributed axial load
    • Panayotounakos, D.E., Theocaris, P.S.: Large deflections of buckled bars under distributed axial load. Int. J. Solids Struct. 24(12), 1179-1192 (1988)
    • (1988) Int. J. Solids Struct. , vol.24 , Issue.12 , pp. 1179-1192
    • Panayotounakos, D.E.1    Theocaris, P.S.2
  • 5
    • 1142301549 scopus 로고    scopus 로고
    • On the reduction and the existence of approximate analytic solutions of some basic nonlinear ODEs in mathematical physics and nonlinear mechanics
    • Panayotounakos, D.E., Sotiropoulos, N.V.: On the reduction and the existence of approximate analytic solutions of some basic nonlinear ODEs in mathematical physics and nonlinear mechanics. J. Math. Phys. JMP 45(2), 803-826 (2004)
    • (2004) J. Math. Phys. JMP , vol.45 , Issue.2 , pp. 803-826
    • Panayotounakos, D.E.1    Sotiropoulos, N.V.2
  • 6
    • 13844271262 scopus 로고    scopus 로고
    • Exact analytic solutions of unsolvable classes of first and second order nonlinear ODEs. I. Abel's equations
    • Panayotounakos, D.E.: Exact analytic solutions of unsolvable classes of first and second order nonlinear ODEs. I. Abel's equations. Appl. Math. Lett. 18, 155-162 (2005)
    • (2005) Appl. Math. Lett. , vol.18 , pp. 155-162
    • Panayotounakos, D.E.1
  • 7
    • 33646468374 scopus 로고    scopus 로고
    • Exact analytic solutions of the Abel, Emden-Fowler and generalized Emden-Fowler nonlinear ODEs
    • Panayotounakos, D.E., Kravvaritis, D.C.: Exact analytic solutions of the Abel, Emden-Fowler and generalized Emden-Fowler nonlinear ODEs. Nonlin. Anal. Real World Appl. 7(2), 634-650 (2006)
    • (2006) Nonlin. Anal. Real World Appl. , vol.7 , Issue.2 , pp. 634-650
    • Panayotounakos, D.E.1    Kravvaritis, D.C.2
  • 9
    • 0242369090 scopus 로고    scopus 로고
    • On the reduction of some second-order nonlinear ODEs in physics and mechanics to first-order nonlinear integrodifferential and Abel's classes of equations
    • Sotiropoulou, A.B., Panayotounakos, D.E.: On the reduction of some second-order nonlinear ODEs in physics and mechanics to first-order nonlinear integrodifferential and Abel's classes of equations. Theor. Appl. Fract. Mech. TAFM 40, 255-270 (2003)
    • (2003) Theor. Appl. Fract. Mech. TAFM , vol.40 , pp. 255-270
    • Sotiropoulou, A.B.1    Panayotounakos, D.E.2
  • 10
    • 3242733981 scopus 로고    scopus 로고
    • Exact parametric analytic solutions of the elastica ODEs for bars including effects of the transverse deformation
    • Sotiropoulou, A.B., Panayotounakos, D.E.: Exact parametric analytic solutions of the elastica ODEs for bars including effects of the transverse deformation. Int. J. Nonlin. Mech. 39, 1555-1570 (2004)
    • (2004) Int. J. Nonlin. Mech. , vol.39 , pp. 1555-1570
    • Sotiropoulou, A.B.1    Panayotounakos, D.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.