메뉴 건너뛰기




Volumn 38, Issue 3, 2002, Pages 372-376

Equilibrium of an inverted mathematical double-link pendulum with a follower force

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); ELASTICITY; HINGES; STIFFNESS; VISCOELASTICITY;

EID: 0036298064     PISSN: 10637095     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1016098615226     Document Type: Article
Times cited : (12)

References (25)
  • 1
    • 0007034233 scopus 로고
    • On stability and self-oscillations of a double pendulum with elastic elements under a follower force
    • S. A. Agafonov, "On stability and self-oscillations of a double pendulum with elastic elements under a follower force," Izv. RAN, Mekh. Tverd. Tela, No. 5, 185-190 (1992).
    • (1992) Izv. RAN, Mekh. Tverd. Tela , vol.5 , pp. 185-190
    • Agafonov, S.A.1
  • 2
    • 0141662134 scopus 로고    scopus 로고
    • Stabilization of equilibrium of the Ziegler pendulum through parametric excitation
    • S. A. Agafonov "Stabilization of equilibrium of the Ziegler pendulum through parametric excitation," Izv. RAN, Mekh. Tverd. Tela, No. 6, 36-40 (1997).
    • (1997) Izv. RAN, Mekh. Tverd. Tela , vol.6 , pp. 36-40
    • Agafonov, S.A.1
  • 4
    • 0030131557 scopus 로고    scopus 로고
    • Real bifurcations of double-link rolling systems
    • V. G. Verbitskii and L. G. Lobas, "Real bifurcations of double-link rolling systems," Prikl. Mat. Mekh., 60, No. 3, 418-425 (1996).
    • (1996) Prikl. Mat. Mekh. , vol.60 , Issue.3 , pp. 418-425
    • Verbitskii, V.G.1    Lobas, L.G.2
  • 5
    • 0007114551 scopus 로고
    • Real bifurcations of dynamic systems with simple symmetry upon variation in the control parameters
    • V. G. Verbitskii and L. G. Lobas, "Real bifurcations of dynamic systems with simple symmetry upon variation in the control parameters," Probl. Upravl. Inform., No. 6, 47-62 (1995).
    • (1995) Probl. Upravl. Inform. , vol.6 , pp. 47-62
    • Verbitskii, V.G.1    Lobas, L.G.2
  • 6
    • 0007077567 scopus 로고
    • Influence of dissipative forces with incomplete dissipation on the stability of elastic systems
    • N. I. Zhinzher, "Influence of dissipative forces with incomplete dissipation on the stability of elastic systems," Izv. RAN, Mekh. Tverd. Tela, No. 1, 149-155 (1994).
    • (1994) Izv. RAN, Mekh. Tverd. Tela , vol.1 , pp. 149-155
    • Zhinzher, N.I.1
  • 7
    • 0030100449 scopus 로고    scopus 로고
    • Nonlinear stability and pitchfork bifurcations in dynamic systems with simple symmetry
    • L. G. Lobas, "Nonlinear stability and pitchfork bifurcations in dynamic systems with simple symmetry," Prikl. Mat. Mekh., 60, No. 2, 327-332 (1996).
    • (1996) Prikl. Mat. Mekh. , vol.60 , Issue.2 , pp. 327-332
    • Lobas, L.G.1
  • 8
    • 0007077573 scopus 로고
    • On quasistability of viscoelastic systems with follower forces
    • Ya. G. Panovko and S. V. Sorokin, "On quasistability of viscoelastic systems with follower forces," Izv. AN SSSR, Mekh. Tverd. Tela, No. 5, 135-139 (1987).
    • (1987) Izv. AN SSSR, Mekh. Tverd. Tela , vol.5 , pp. 135-139
    • Panovko, Y.G.1    Sorokin, S.V.2
  • 9
    • 0007031213 scopus 로고    scopus 로고
    • On the stabilization of nonconservative systems by dissipative forces and on the uncertainty of the critical load
    • A. P. Seiranyan, "On the stabilization of nonconservative systems by dissipative forces and on the uncertainty of the critical load," Dokl. RAN, 348, No. 3, 323-326 (1996).
    • (1996) Dokl. RAN , vol.348 , Issue.3 , pp. 323-326
    • Seiranyan, A.P.1
  • 10
    • 22844453863 scopus 로고    scopus 로고
    • On the motion of a reversible double simple pendulum with tracking force
    • I. G. Boruk and L. G. Lobas, "On the motion of a reversible double simple pendulum with tracking force," Int. Appl. Mech., 35, No. 7, 745-750 (1999).
    • (1999) Int. Appl. Mech. , vol.35 , Issue.7 , pp. 745-750
    • Boruk, I.G.1    Lobas, L.G.2
  • 11
    • 0014795970 scopus 로고
    • On the destabilizing effect of non-linear damping in non-conservative systems with follower forces
    • P. Hagedom, "On the destabilizing effect of non-linear damping in non-conservative systems with follower forces," Int. J. Non-Linear Mech., 5, No. 2, 341-358 (1970).
    • (1970) Int. J. Non-linear Mech. , vol.5 , Issue.2 , pp. 341-358
    • Hagedom, P.1
  • 12
    • 0007078760 scopus 로고
    • On the destabilizing effect of damping in nonconservative elastic systems
    • G. Hermann and I.-C. Jong, "On the destabilizing effect of damping in nonconservative elastic systems," Trans. ASME, Ser. E, J. Appl. Mech., E32, No. 3, 592-597 (1965).
    • (1965) Trans. ASME, Ser. E, J. Appl. Mech. , vol.E32 , Issue.3 , pp. 592-597
    • Hermann, G.1    Jong, I.-C.2
  • 13
    • 0007077574 scopus 로고
    • Stabilitätsverlust der gestreckten Lage eines raumlichen Doppelpendels mit elastischer Endlagerung unter einer volgelast
    • E. Lindtner, A. Steindl, and H. Troger, "Stabilitätsverlust der gestreckten Lage eines raumlichen Doppelpendels mit elastischer Endlagerung unter einer Volgelast," Z. angew. Math. Mech., 67, No. 4, 105-107 (1987).
    • (1987) Z. Angew. Math. Mech. , vol.67 , Issue.4 , pp. 105-107
    • Lindtner, E.1    Steindl, A.2    Troger, H.3
  • 14
    • 0031379254 scopus 로고    scopus 로고
    • Nonlinear stability and triple-equilibrium bifurcations in finite-dimensional dynamical systems with symmetry
    • L. G. Lobas, "Nonlinear stability and triple-equilibrium bifurcations in finite-dimensional dynamical systems with symmetry," Eng. Simul., 14, No. 5, 713-725 (1997).
    • (1997) Eng. Simul. , vol.14 , Issue.5 , pp. 713-725
    • Lobas, L.G.1
  • 15
    • 22044433757 scopus 로고    scopus 로고
    • Bifurcations of steady states and periodic motions of finite-dimensional dynamical systems with simple symmetry
    • L. G. Lobas, "Bifurcations of steady states and periodic motions of finite-dimensional dynamical systems with simple symmetry," Int. Appl. Mech., 34, No 1, 1-24 (1998).
    • (1998) Int. Appl. Mech. , vol.34 , Issue.1 , pp. 1-24
    • Lobas, L.G.1
  • 16
    • 0035535423 scopus 로고    scopus 로고
    • The dynamics of finite-dimensional systems under nonconservative position forces
    • L. G. Lobas, "The dynamics of finite-dimensional systems under nonconservative position forces," Int. Appl. Mech., 37, No. 1, 38-65 (2001).
    • (2001) Int. Appl. Mech. , vol.37 , Issue.1 , pp. 38-65
    • Lobas, L.G.1
  • 18
    • 84983970735 scopus 로고
    • A new destabilization phenomenon in nonconservative systems
    • R. H. Plaut, "A new destabilization phenomenon in nonconservative systems," Z. Angew. Math. Mech., 51, No. 4, 319-321 (1971).
    • (1971) Z. Angew. Math. Mech. , vol.51 , Issue.4 , pp. 319-321
    • Plaut, R.H.1
  • 19
    • 0021161379 scopus 로고
    • Coupled flutter and divergence bifurcation of a double pendulum
    • R. Scheidl, H. Troger, and K. Zeman, "Coupled flutter and divergence bifurcation of a double pendulum," Int. J. Non-Linear Mech., 19, No. 2, 163-176 (1984).
    • (1984) Int. J. Non-linear Mech. , vol.19 , Issue.2 , pp. 163-176
    • Scheidl, R.1    Troger, H.2    Zeman, K.3
  • 20
    • 0007073988 scopus 로고
    • Globales verzweigungsverhalten am beispiel eines langselastischen doppelpendels unter volgelast
    • A. Stribersky and H. Troger, "Globales Verzweigungsverhalten am Beispiel eines langselastischen Doppelpendels unter Volgelast," Z. angew. Math. Mech., 68, No. 4, 126-128 (1988).
    • (1988) Z. Angew. Math. Mech. , vol.68 , Issue.4 , pp. 126-128
    • Stribersky, A.1    Troger, H.2
  • 22
    • 0019708546 scopus 로고
    • Zur korrekten modellbildung in der dynamik diskreter systeme
    • H. Troger and K. Zeman, "Zur korrekten Modellbildung in der Dynamik diskreter Systeme," Ingenieur-Archiv., 51, No. 1/2, 31-43 (1981).
    • (1981) Ingenieur-Archiv. , vol.51 , Issue.1-2 , pp. 31-43
    • Troger, H.1    Zeman, K.2
  • 23
    • 34347142065 scopus 로고
    • Die stabilitätskriterien der elastomechanik
    • H. Ziegler, "Die Stabilitätskriterien der Elastomechanik, " Ingenieur-Archiv., 20, No. 1, 49-56 (1952).
    • (1952) Ingenieur-Archiv. , vol.20 , Issue.1 , pp. 49-56
    • Ziegler, H.1
  • 24
    • 0002474552 scopus 로고    scopus 로고
    • Linear elastic stability
    • H. Ziegler, "Linear elastic stability," Z. angew. Math. Phys., 4, No. 2, 89-121; No. 3, 167-185 (1953).
    • (1953) Z. Angew. Math. Phys. , vol.4 , Issue.2 , pp. 89-121
    • Ziegler, H.1
  • 25
    • 0002474552 scopus 로고    scopus 로고
    • H. Ziegler, "Linear elastic stability," Z. angew. Math. Phys., 4, No. 2, 89-121; No. 3, 167-185 (1953).
    • Z. Angew. Math. Phys. , vol.3 , pp. 167-185


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.