Structural Engineering and Mechanics

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Buckling mosaic of a circular plate on a partial elastic foundation

  • Yu, L.H. (Department of Mathematics, National Chung Cheng University) ;
  • Wang, C.Y. (Department of Mathematics and Mechanical Engineering, Michigan State University)
  • Received : 2009.01.22
  • Accepted : 2009.08.14
  • Published : 2010.01.10
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Abstract

Keywords

References

  1. Galletly, G.D. (1959), "Circular plates on a generalized elastic foundation", J. Appl. Mech., 26, 297.
  2. Gupta, U.S. and Ansari, A.H. (1998), "Asymmetric vibrations and elastic stability of polar orthotropic circular plates of linearly varying profile", J. Sound Vib., 215, 231-250. https://doi.org/10.1006/jsvi.1998.1589
  3. Gupta, U.S., Ansari, A.H. and Sharma, S. (2006), "Buckling and vibration of polar orthotropic circular plate resting on Winkler foundation", J. Sound Vib., 297, 457-476. https://doi.org/10.1016/j.jsv.2006.01.073
  4. Gupta, U.S., Lal, R. and Jain, S.K. (1991), "Buckling and vibrations of polar orthotropic circular plates of linearly varying thickness resting on an elastic foundation", J. Sound Vib., 147, 423-434. https://doi.org/10.1016/0022-460X(91)90491-2
  5. Hetenyi, M. (1948), Beams on Elastic Foundation. Univ. Michigan, Ann Arbor.
  6. Kline, L.V. and Hancock, J.O. (1965), "Buckling of circular plate on elastic foundation", J. Eng. Ind., 87, 323- 324. https://doi.org/10.1115/1.3670833
  7. Wang, C.Y. (2005), "On the buckling of a circular plate on an elastic foundation", J. Appl. Mech., 72, 795-796. https://doi.org/10.1115/1.1988347
  8. Wang, C.M., Wang, C.Y. and Reddy, J.N. (2005), Exact Solutions for Buckling of Structural Members CRC Press, Boca Raton.
  9. Wolkowisky, J.H. (1969), "Buckling of the circular plate embedded in elastic springs- an application to geophysics", Commun. Pure Appl. Math., 22, 639-667. https://doi.org/10.1002/cpa.3160220506
  10. Yu, Y.Y. (1957), "Axisymmetrical bending of circular plates under simultaneous action of lateral load, force in the middle plane, and elastic foundation", J. Appl. Mech., 24, 141-143.

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