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Original Articles

Inelastic Static and Dynamic Stability Analyses of a Column Subjected to a Nonconservative Force

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Pages 346-366 | Received 10 Aug 2010, Accepted 29 Nov 2010, Published online: 19 May 2011

REFERENCES

  • AISC. ( 2005 ). Specification for Structural Steel Buildings . Chicago , Illinois : American Institute of Steel Construction .
  • Chen , W. F. , Lui , E. M. ( 1987 ). Structural Stability, Theory and Implementation . New York : Elsevier Science Publishing Co., Inc .
  • Chen , W. F. , Lui , E. M. ( 1992 ). Stability Design of Steel Frames . New York : CRC Press .
  • Detinko , F. M. ( 2003 ). Lumped damping and stability of Beck column with a tip mass . International Journal of Solids and Structures 40 : 4479 – 4486 .
  • Gasparini , A. M. , Saetta , A. V. , Vitaliani , R. V. ( 1995 ). On the stability and instability regions of non-conservative continuous system under partially follower forces . Computer Methods in Applied Mechanics and Engineering 124 : 63 – 78 .
  • Imielowski , Sz. ( 1993 ). Sensitivity analysis of a stepped column under circulatory load . ZAMM 73 : T186 – T189 .
  • IMSL. ( 1995 ). Microsoft IMSL Library. Microsoft Corporation .
  • Kikuchi , F. ( 1973 ). A finite element method for non-self-adjoint problems . International Journal for Numerical Methods in Engineering 6 : 39 – 54 .
  • Langthjem , M. A. , Sugiyama , Y. ( 2000 ). Dynamic stability of columns subjected to follower loads: A survey . Journal of Sound and Vibration 238 : 809 – 851 .
  • Lee , H. P. ( 1995 ). Divergence and flutter of a cantilever rod with an intermediate spring support . International Journal of Solids and Structures 32 : 1371 – 1382 .
  • Lee , H. P. ( 1996a ). Effects of damping on the dynamic stability of a rod with an intermediate spring support subjected to follower forces . Computers and Structures 60 : 31 – 39 .
  • Lee , H. P. (1996b). Dynamic stability of a tapered cantilever beam on an elastic foundation subjected to a follower force. International Journal of Solids and Structures 33:1409–1424.
  • Lee , H. P. ( 1996c ). Damping effects on the dynamic stability of a rod subjected to intermediate follower loads . Computer Methods in Applied Mechanics and Engineering 131 : 147 – 157 .
  • Leipholz , H. ( 1980 ). Stability of Elastic Systems . The Netherlands : Sijthoff and Noordhoff International Publishers BV, Alphen aan den Rijn .
  • Marzani , A. , Tornabene , F. , Viola , E. ( 2008 ). Nonconservative stability problems via generalized differential quadrature method . Journal of Sound and Vibration 315 : 176 – 196 .
  • Prabhakara , D. L. , Dharshan , M. D. , Uthpal , U. J. ( 2006 ). Flutter stability behavior of free-free column with a movable mass subjected to follower drag force . International Journal of Structural Stability and Dynamics 6 : 215 – 231 .
  • Rao , B. N. , Rao , G. V. ( 1987 ). Applicability of the static or dynamic criterion for the stability of a cantilever column under a tip-concentrated subtangential follower force . Journal of Sound and Vibration 120 : 197 – 200 .
  • Ryu , B. J. , Katayama , K. , Sugiyama , Y. ( 1998 ). Dynamic stability of Timoshenko columns subjected to subtangential forces . Computers and Structures 68 : 499 – 512 .
  • Sato , K. ( 1996 ). Instability of a clamped-elastically restrained Timoshenko column carrying a tip load, subjected to a follower force . Journal of Sound and Vibration 194 : 623 – 630 .
  • Takahashi , I. ( 1998 ). Vibration and stability of a cracked shaft simultaneously subjected to a follower force with an axial force . International Journal of Solids and Structures 35 : 3071 – 3080 .
  • Takahashi , I. ( 1999 ). Vibration and stability of a non-uniform cracked Timoshenko beam subjected to follower force . Computers and Structures 71 : 585 – 591 .
  • #Communicated by M. Amabili.

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