DOI QR코드

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Effects of damping on the parametric instability behaviour of plates under localized edge loading (compression or tension)

  • Deolasi, P.J. (Department of Aerospace Engineering, Indian Institute of Technology) ;
  • Datta, P.K. (Department of Aerospace Engineering, Indian Institute of Technology)
  • 발행 : 1995.05.25

초록

The parametric instability behaviour of a plate subjected to localized in-plane compressive or tensile periodic edge loading is studied, considering the effects of damping into the system. Different edge loading cases have been considered. Damping has been introduced in the form of proportional damping. Dynamic instability behaviour under compressive or tensile periodic edge loading shows that the instability regions are influenced by the load band width and its location on the edge. The effects of damping on the instability regions show that there is a critical value of dynamic load factor beyond which the plate becomes dynamically unstable. The critical dynamic load factor increases as damping increases. Damping generally reduces the widths of the instability regions.

키워드

참고문헌

  1. Bolotin, V. V. (1964), The dynamic stability of elastic systems, Holden-Day, San Francisco, U.S.A.
  2. Caughey, T. K. and OKelly, M. E. J. (1965), "Classical normal modes in damped linear dynamic systems", J. Appl. Mech. Trans. ASME, 32, 583-588. https://doi.org/10.1115/1.3627262
  3. Cederbaum, G. (1992), "Parametric excitation of viscoelastic plates", Mech. of Str. and Mach., 20, 37-51. https://doi.org/10.1080/08905459208905159
  4. Chen, H.C. (1993), "Partial eigensolution of damped structural systems by Arnoldis method", Earthquake Engg. and Struct. Dynamics, 22, 63-74. https://doi.org/10.1002/eqe.4290220106
  5. Engel, R. S. (1991), "Dynamic stability of an axially loaded beam on elastic foundation with damping", J. Sound and Vibration, 146, 463-478. https://doi.org/10.1016/0022-460X(91)90702-L
  6. Foss, K. A. (1958), "Coordinates which uncouple the equations of motion of damped linear dynamic systems", J. Appl. Mech., Trans. ASME, 25, 361-364.
  7. Hutt, J. M. and Salam, A. E. (1971), "Dynamic stability of plates by finite element method", J. Eng. Mech. Div., ASCE, 97, 879-899.
  8. Ioannides, E. and Grootenhuis, P. (1979), "A finite element analysis of the harmonic response of damped three-layer plates", J. Sound and Vibration, 67, 2203-2208.
  9. Khan, M. Z. and Walker, A. C. (1972), "Buckling of plates subjected to localized edge loading", The Structural Engineer, 50, 225-232.
  10. Leissa, A.W. (1969), Vibration of plates, U.S. Govt. printing office, NASA SP-160., Acoustical Society of America.
  11. Leissa, A. W. and Ayoub, E. F. (1988), "Vibration and buckling of a simply supported rectangular plate subjected to a pair of in-plane concentrated forces, Journal of Sound and Vibration, 127, 155-171. https://doi.org/10.1016/0022-460X(88)90356-2
  12. Leissa, A. W. and Ayoub, E. F. (1989), "Tension buckling of rectangular sheets due to concentrated forces", J. Eng. Mech., ASCE, 115, 2749-2762. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:12(2749)
  13. Meirovitch, L. (1967), Analytical methods in vibrations, The McMillan Co., NY.
  14. Rockey, K. C. and Bagchi, D. K. (1970), "Buckling of plate girder webs under partial edge loading", Int. J. Mech. Sci., 12, 61. https://doi.org/10.1016/0020-7403(70)90007-X
  15. Spencer, H. H. and Surjanhata, H. (1985), "Plate buckling under partial edge loading", Developments in Mechanics (Proc. of the 19th Midwestern Mech. Conf.), 13, 83-84.
  16. Timoshenko, S. P. and Gere, J. M. (1961), Theory of elastic stability (second edition), New York, McGraw Hill.

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