Structural Engineering and Mechanics

  • 제6권7호
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  • Pages.747-756
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  • 1998
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

On Beck's column with shear and compressibility

  • Cveticanin, L.J. (Department of Technical Sciences) ;
  • Atanackovic, T.M. (Department of Technical Sciences)
  • 발행 : 1998.10.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper the influence of rotary inertia, shear and compressibility on the value of the critical force for the Beck's column is analyzed. The constitutive equation is of Engesser's type. As a result, the critical load parameter for which instability of flutter type occurs is calculated for several values of the column's parameters.

키워드

참고문헌

  1. Atanackovic, T.M. and Spasic, D.T. (1991), "Effect of shear and compressibility on stability of a heavy column with an end load", Q. Jl. Mech. Appl Math., 44, 601-617. https://doi.org/10.1093/qjmam/44.4.601
  2. Beck, M. (1952), "Die Knicklast des einseitig eingespannten, tangential gedriickten Stabes", ZAMP, 3, 225-228. https://doi.org/10.1007/BF02008828
  3. Becker, M., Hauger, W. and Winzen, W. (1977), "Influence of internal and external damping on the stability of Becks column on an elastic foundation", Journal of Sound and Vibration, 54, 468-472. https://doi.org/10.1016/0022-460X(77)90460-6
  4. Carr, J. and Malhardeen, M.Z. (1979), "Becks problem", SIAM Journal of Applied Mathemaqtics, 37, 261-262. https://doi.org/10.1137/0137017
  5. Gjelsvik, A. (1991), "Stability of built-up columns", ASCE Journal of Engineering Mechanics, 117, 1331-1345. https://doi.org/10.1061/(ASCE)0733-9399(1991)117:6(1331)
  6. Hauger, W. (1975), "Stability of a compressible rod subjected to nonconservative forces", ASME Journal of Applied Mechanics, 42, 887-888. https://doi.org/10.1115/1.3423729
  7. Jankovic, M.S. (1993), "Comments on eigenvalue sensitivity in the stability analysis of Beck's column with a concentrated mass at the free end", Journal of Sound and Vibration, 167, 557-559. https://doi.org/10.1006/jsvi.1993.1353
  8. Libai, A. (1992), "Equations for the nonlinear planar deformation of beams", ASME Journal of Applied Mechanics, 59, 1028-1030. https://doi.org/10.1115/1.2894019
  9. Matsuda, H., Sakiyama, T. and Morita, Ch. (1993), "Variable cross sectional Becks column subjected to nonconservative load", ZAMM, 73, 383-385.
  10. Panovko, Y.G. and Gubanova, I.I. (1987), Stability and Vibration of Elastic Systems, 4th ed. Moscow: Nauka (in Russian)..
  11. Schmidt, R. and DaDeppo, D.A. (1971), "Nonlinear theory of arches with transverse shear deformation and rotary inertia", The Journal of the Industrial Mathematics Society, 21, 33-49. https://doi.org/10.1137/0121005
  12. Smith, T.E. and Herrmann, G. (1972), "Stability of a beam on an elastic foundation subjected to a follower force", ASME Journal of Applied Mechanics, 39, 628-629. https://doi.org/10.1115/1.3422743

피인용 문헌

  1. STABILITY OF DAMPED COLUMNS ON A WINKLER FOUNDATION UNDER SUB-TANGENTIAL FOLLOWER FORCES vol.13, pp.02, 2013, https://doi.org/10.1142/S021945541350020X
  2. Non-conservative Instability of Shear Flexible Steel Columns Considering Inelastic Effect vol.41, pp.10, 2016, https://doi.org/10.1007/s13369-015-2004-3
  3. Dynamic stability of shear-flexible beck’s columns based on Engesser’s and Haringx’s buckling theories vol.86, pp.21-22, 2008, https://doi.org/10.1016/j.compstruc.2008.04.012
  4. Dynamic stability analysis for Beck’s type of inelastic Timoshenko steel columns vol.15, pp.4, 2015, https://doi.org/10.1007/s13296-015-1216-4
  5. Dynamic stability analysis of shear-flexible composite beams vol.83, pp.5, 2013, https://doi.org/10.1007/s00419-012-0712-7
  6. Surface stress effects may induce softening: Euler–Bernoulli and Timoshenko buckling solutions vol.44, pp.9, 2012, https://doi.org/10.1016/j.physe.2012.05.019