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Volumn 69, Issue 4, 2005, Pages 529-552

The effect of small internal and external damping on the stability of distributed non-conservative systems

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL OPERATORS; EXTERNAL DAMPING; INTERNAL DAMPING;

EID: 33644864204     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jappmathmech.2005.07.004     Document Type: Article
Times cited : (76)

References (39)
  • 1
    • 34347142065 scopus 로고
    • Die Stabilitätskriterien der Elastomechanik
    • Ziegler H. Die Stabilitätskriterien der Elastomechanik Ing.-Arch. 20 1 1952 49 56
    • (1952) Ing.-Arch. , vol.20 , Issue.1 , pp. 49-56
    • Ziegler, H.1
  • 3
    • 0002378422 scopus 로고
    • Stability of equilibrium of elastic systems subjected to non-conservative forces
    • Herrmann G. Stability of equilibrium of elastic systems subjected to non-conservative forces Appl. Mech. Revs. 20 2 1967 103 108
    • (1967) Appl. Mech. Revs. , vol.20 , Issue.2 , pp. 103-108
    • Herrmann, G.1
  • 4
    • 0014565792 scopus 로고
    • Effects of damping on stability of elastic systems subjected to non-conservative forces
    • Bolotin V.V., and Zhinzher N.I. Effects of damping on stability of elastic systems subjected to non-conservative forces Intern. J. Solid Struct. 5 9 1969 965 989
    • (1969) Intern. J. Solid Struct. , vol.5 , Issue.9 , pp. 965-989
    • Bolotin, V.V.1    Zhinzher, N.I.2
  • 6
    • 85003234136 scopus 로고
    • Application of a variational method to dissipative non-conservative problems of elastic stability
    • Anderson G.L. Application of a variational method to dissipative non-conservative problems of elastic stability J. Sound and Vib 27 2 1973 279 296
    • (1973) J. Sound and Vib , vol.27 , Issue.2 , pp. 279-296
    • Anderson, G.L.1
  • 8
    • 0007955569 scopus 로고
    • The stability of a rod loaded by a "follower" force
    • Denisov G.G., and Novikov V.V. The stability of a rod loaded by a "follower" force Izv. Akad. Nauk SSSR, MTT 1 1975 150 154
    • (1975) Izv. Akad. Nauk SSSR, MTT , vol.1 , pp. 150-154
    • Denisov, G.G.1    Novikov, V.V.2
  • 9
    • 0022229543 scopus 로고
    • The role of damping on the stability of short Beck's columns
    • Lottati L. The role of damping on the stability of short Beck's columns AIAA J. 23 12 1985 1993 1995
    • (1985) AIAA J. , vol.23 , Issue.12 , pp. 1993-1995
    • Lottati, L.1
  • 11
    • 0007077573 scopus 로고
    • The quasi-stability of elasto-viscous systems with follower forces
    • Panovko Ya.G., and Sorokin S.V. The quasi-stability of elasto-viscous systems with follower forces Izv. Akad. Nauk SSSR, MTT 5 1987 135 139
    • (1987) Izv. Akad. Nauk SSSR, MTT , vol.5 , pp. 135-139
    • Panovko, Ya.G.1    Sorokin, S.V.2
  • 12
    • 0002227430 scopus 로고
    • The destabilization paradox in stability problems for non-conservative systems
    • Seyranian A.P. The destabilization paradox in stability problems for non-conservative systems Uspekhi Mekhaniki 13 2 1990 89 124
    • (1990) Uspekhi Mekhaniki , vol.13 , Issue.2 , pp. 89-124
    • Seyranian, A.P.1
  • 13
    • 0007077567 scopus 로고
    • Effect of dissipative forces with incomplete dissipation on the stability of elastic systems
    • Zhnzher N.I. Effect of dissipative forces with incomplete dissipation on the stability of elastic systems Izv. Ross. Akad. Nauk. MTT 1 1994 149 155
    • (1994) Izv. Ross. Akad. Nauk. MTT , vol.1 , pp. 149-155
    • Zhnzher, N.I.1
  • 14
    • 0002363338 scopus 로고
    • On two effects in fluid/structure interaction theory
    • Balkema Rotterdam
    • Seyranian A.P., and Pedersen P. On two effects in fluid/structure interaction theory Flow-Induced Vibration 1965 Balkema Rotterdam 565 576
    • (1965) Flow-Induced Vibration , pp. 565-576
    • Seyranian, A.P.1    Pedersen, P.2
  • 15
    • 0007031213 scopus 로고    scopus 로고
    • Stabilization of non-conservative systems by dissipative forces and indeterminacy of the critical load
    • Seyranian A.P. Stabilization of non-conservative systems by dissipative forces and indeterminacy of the critical load Dokl. Ross. Akad. Nauk 348 3 1996 323 326
    • (1996) Dokl. Ross. Akad. Nauk , vol.348 , Issue.3 , pp. 323-326
    • Seyranian, A.P.1
  • 16
    • 0033233452 scopus 로고    scopus 로고
    • On singularities of a boundary of the stability domain
    • Mailybaev A.A., and Seyranian A.P. On singularities of a boundary of the stability domain SIAM J. Matrix Anal. Appl. 21 1 1999 106 128
    • (1999) SIAM J. Matrix Anal. Appl. , vol.21 , Issue.1 , pp. 106-128
    • Mailybaev, A.A.1    Seyranian, A.P.2
  • 17
    • 0034513601 scopus 로고    scopus 로고
    • Dynamic stability of columns subjected to follower loads: A survey
    • Langthjem M.A., and Sugiyama Y. Dynamic stability of columns subjected to follower loads: A survey J. Sound and Vibr. 238 5 2000 809 851
    • (2000) J. Sound and Vibr. , vol.238 , Issue.5 , pp. 809-851
    • Langthjem, M.A.1    Sugiyama, Y.2
  • 18
    • 0036778879 scopus 로고    scopus 로고
    • Effect of damping on the postcritical behavior of autonomous non-conservative systems
    • Dolotin V.V., Grishko A.A., and Panov M.Yu. Effect of damping on the postcritical behavior of autonomous non-conservative systems Intern. J. Non-Linear Mech. 37 2002 1163 1179
    • (2002) Intern. J. Non-Linear Mech. , vol.37 , pp. 1163-1179
    • Dolotin, V.V.1    Grishko, A.A.2    Panov, M.Yu.3
  • 19
    • 2942684668 scopus 로고    scopus 로고
    • How do small velocity-dependent forces (de)stabilize a non-conservative system?
    • Copenhagen KIRILLOV O.N. How do small velocity-dependent forces (de)stabilize a non-conservative system? DCAMM Report No. 681 2003
    • (2003) DCAMM Report No. 681
    • Kirillov, O.N.1
  • 20
    • 5644221869 scopus 로고    scopus 로고
    • The destabilization paradox
    • Kirillov O.N. The destabilization paradox Dokl. Ross. Akad. Nauk 395 5 2004 614 620
    • (2004) Dokl. Ross. Akad. Nauk , vol.395 , Issue.5 , pp. 614-620
    • Kirillov, O.N.1
  • 21
    • 0347959045 scopus 로고
    • Die Knicklast des einseitig eingespannten, tangential gedrückten Stables
    • Beck M. Die Knicklast des einseitig eingespannten, tangential gedrückten Stables ZAMP 3 1952 225 228 3
    • (1952) ZAMP , vol.3 , pp. 225-228
    • Beck, M.1
  • 22
    • 0013044793 scopus 로고
    • Bifurcation in one-parameter circulatory systems
    • Seyranian A.P. Bifurcation in one-parameter circulatory systems Izv. Akad. Nauk SSSR. MTT 1 1994 142 148
    • (1994) Izv. Akad. Nauk SSSR. MTT , vol.1 , pp. 142-148
    • Seyranian, A.P.1
  • 23
    • 0002917393 scopus 로고
    • The eigenvalues and eigenfunctions of certain classes of non-self-adjoint equations
    • Keldysh M.V. The eigenvalues and eigenfunctions of certain classes of non-self-adjoint equations Dokl. Akad. Nauk SSSR 77 1951 11 14
    • (1951) Dokl. Akad. Nauk SSSR , vol.77 , pp. 11-14
    • Keldysh, M.V.1
  • 24
    • 84956102241 scopus 로고
    • The completeness of eigenfunctions of certain classes of non-self-adjoint linear operators
    • Keldysh M.V. The completeness of eigenfunctions of certain classes of non-self-adjoint linear operators Uspekhi Mat. Nauk 26 4 1971 15 41
    • (1971) Uspekhi Mat. Nauk , vol.26 , Issue.4 , pp. 15-41
    • Keldysh, M.V.1
  • 28
    • 0141604976 scopus 로고
    • Boundary-value problems for ordinary differential equations with a parameter in the boundary conditions
    • Shkalikov A.A. Boundary-value problems for ordinary differential equations with a parameter in the boundary conditions Funkts. Anal. i ego Priozh. 16 4 1982 92 93
    • (1982) Funkts. Anal. i Ego Priozh. , vol.16 , Issue.4 , pp. 92-93
    • Shkalikov, A.A.1
  • 31
    • 0036425513 scopus 로고    scopus 로고
    • The collapse of Keldysh chains and the stability of non-conservative systems
    • Kirillov O.N., and Seyranian A.P. The collapse of Keldysh chains and the stability of non-conservative systems Dokl. Ross. Akad. Nauk 385 2 2002 172 176
    • (2002) Dokl. Ross. Akad. Nauk , vol.385 , Issue.2 , pp. 172-176
    • Kirillov, O.N.1    Seyranian, A.P.2
  • 32
    • 4544269808 scopus 로고    scopus 로고
    • Collapse of the Keldysh chains and stability of continuous non-conservative systems
    • Kirillov O.N., and Seyranian A.P. Collapse of the Keldysh chains and stability of continuous non-conservative systems SIAM J. Appl. Math. 64 4 2004 1383 1407
    • (2004) SIAM J. Appl. Math. , vol.64 , Issue.4 , pp. 1383-1407
    • Kirillov, O.N.1    Seyranian, A.P.2
  • 34
    • 0001966602 scopus 로고
    • The solution of certain perturbation problems in the case of matrices and selfadjoint and non-self-adjoint differential equations
    • Vishik M.I., and Lyusternik L.A. The solution of certain perturbation problems in the case of matrices and selfadjoint and non-self-adjoint differential equations I. Uspekhi Mat. Nauk 15 3 1960 3 80
    • (1960) I. Uspekhi Mat. Nauk , vol.15 , Issue.3 , pp. 3-80
    • Vishik, M.I.1    Lyusternik, L.A.2
  • 35
    • 85003273939 scopus 로고
    • Determining the nature of instability in nonconservative problems
    • Plaut R.H. Determining the nature of instability in nonconservative problems AIAA J. 10 7 1972 967 968
    • (1972) AIAA J. , vol.10 , Issue.7 , pp. 967-968
    • Plaut, R.H.1
  • 36
    • 0017428609 scopus 로고
    • Influence of boundary conditions on the stability of a column under non-conservative load
    • Pedersen P. Influence of boundary conditions on the stability of a column under non-conservative load Intern. J. Solids Struct. 13 5 1977 445 455
    • (1977) Intern. J. Solids Struct. , vol.13 , Issue.5 , pp. 445-455
    • Pedersen, P.1
  • 37
    • 0020499554 scopus 로고
    • Sensitivity analysis for problems of dynamic stability
    • Pedersen P., and Seyranian A.P. Sensitivity analysis for problems of dynamic stability Intern. J. Solids Struct. 19 4 1983 315 335
    • (1983) Intern. J. Solids Struct. , vol.19 , Issue.4 , pp. 315-335
    • Pedersen, P.1    Seyranian, A.P.2
  • 38
    • 15544362021 scopus 로고
    • Bemerkung zu einem Satze von Hurwitz
    • Bilharz H. Bemerkung zu einem Satze von Hurwitz ZAMM 24 1944 77 82
    • (1944) ZAMM , vol.24 , pp. 77-82
    • Bilharz, H.1


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