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Volumn 42, Issue 2, 2005, Pages 175-184

Application of Jacobian elliptic functions to the analysis of the steady-state solution of the damped duffing equation with driving force of elliptic type

Author keywords

Damped system; Elliptic integrals; Floquet theory; Jacobi elliptic functions; Nonlinear vibrations

Indexed keywords

APPROXIMATION THEORY; DAMPING; FREQUENCY RESPONSE; NONLINEAR SYSTEMS; VIBRATIONS (MECHANICAL);

EID: 26844458281     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-005-2554-0     Document Type: Article
Times cited : (17)

References (13)
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    • Hsu, C.S.1
  • 4
    • 0014610877 scopus 로고
    • On defining equivalent systems for certain ordinary non-linear differential equations
    • Iwan, W. D., 'On defining equivalent systems for certain ordinary non-linear differential equations', International Journal of Non-Linear Mechanics 4, 1969, 325-334.
    • (1969) International Journal of Non-linear Mechanics , vol.4 , pp. 325-334
    • Iwan, W.D.1
  • 5
    • 0038822480 scopus 로고    scopus 로고
    • Applications of Jacobian elliptic functions to the analysis of forced vibrations of a non-linear conservative system
    • Detinko, F. M., 'Applications of Jacobian elliptic functions to the analysis of forced vibrations of a non-linear conservative system', Mechanics of Solids 31(4), 1996, 5-8.
    • (1996) Mechanics of Solids , vol.31 , Issue.4 , pp. 5-8
    • Detinko, F.M.1
  • 8
    • 0024034396 scopus 로고
    • On the transition from regular to chaotic behaviour in the Duffing oscillator
    • van Dooren, R., 'On the transition from regular to chaotic behaviour in the Duffing oscillator', Journal of Sound and Vibration 123(2), 1988, 327-339.
    • (1988) Journal of Sound and Vibration , vol.123 , Issue.2 , pp. 327-339
    • Van Dooren, R.1
  • 9
    • 1542287366 scopus 로고    scopus 로고
    • Analysis of a beam-column system under varying axial forces el elliptic type: The exact solution of Lamés equation
    • Elías-Zuñiga, A., 'Analysis of a beam-column system under varying axial forces el elliptic type: The exact solution of Lamés equation', International Journal of Solids and Structures 41, 2004, 2155-2163.
    • (2004) International Journal of Solids and Structures , vol.41 , pp. 2155-2163
    • Elías-Zuñiga, A.1
  • 10
    • 84971667229 scopus 로고
    • On the stability of Hill's equation with four independent parameters
    • Rand, R. H., 'On the stability of Hill's equation with four independent parameters', Journal of Applied Mechanics 1969, 885-886.
    • (1969) Journal of Applied Mechanics , pp. 885-886
    • Rand, R.H.1
  • 11
    • 10444252614 scopus 로고    scopus 로고
    • Computing the stability regions of Hill's equation
    • Simakhina, S. V. and Tier, C., 'Computing the stability regions of Hill's equation', Applied Mathematics and Computation 162(2), 2005, 639-660.
    • (2005) Applied Mathematics and Computation , vol.162 , Issue.2 , pp. 639-660
    • Simakhina, S.V.1    Tier, C.2
  • 12
    • 84979318776 scopus 로고
    • Über die Stabilität von Lösungen Hillscher Differentialgleichungen mit drei unabhängigen Parametern
    • Klotter, K. and Kotowski, G., 'Über die Stabilität von Lösungen Hillscher Differentialgleichungen mit drei unabhängigen Parametern', Zeitschrift für Angewandte Mathematik und Mechanik 1943, 149-155.
    • (1943) Zeitschrift für Angewandte Mathematik und Mechanik , pp. 149-155
    • Klotter, K.1    Kotowski, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.