Structural Engineering and Mechanics

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Vibration, buckling and dynamic stability of a cantilever rectangular plate subjected to in-plane force

  • Published : 1998.12.25
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Abstract

Vibration, buckling and dynamic stability of a cantilever rectangular plate subjected to an in-plane sinusoidally varying load applied along the free end are analyzed. The thin plate small deflection theory is used. The Rayleigh-Ritz method is employed to solve vibration and buckling of the plate. The dynamic stability problem is solved by using the Hamilton principle to drive time variables. The resulting time variables are solved by the harmonic balance method. Buckling properties and natural frequencies of the plate are shown at first. Unstable regions are presented for various loading conditions. Simple parametric resonances and combination resonances with sum type are obtained for various loading conditions, static load and damping.

Keywords

References

  1. Bolotin, V.V. (1964), The Dynamic Stability of Elastic Systems, Holden-Day.
  2. Column Research Committee of Japan (1971), Handbook of Structural Stability, Column Research Committee of Japan, Corona, 1-112.
  3. Hsu, C.H. (1963), "On the Parametric excitation of dynamic systems having multiple degree of freedom", Journal of Applied Mechanics, 30, 363-372. https://doi.org/10.1115/1.3636562
  4. Leissa, A.W. (1969), Vibration of Plates, NASA, Sp-160, 76.
  5. Takahashi, K.and Konishi, Y. (1988), "Dynamic stability of a rectangular plate subjected to distributed in-plane dynamic force", Journal of Sound and Vibration, 123(1), 115-127. https://doi.org/10.1016/S0022-460X(88)80082-8
  6. Takahashi, K. (1982), "Instability of parametric dynamic systems with non-uniform damping", Journal of Sound and Vibration, 80, 257-262.
  7. Takahashi, K. (1981), "An approach to inuestigate the instability of the multiple-degree-of freedom parametric dynamic systems", Journal of Sound and Vibration, 78(4), 519-529. https://doi.org/10.1016/S0022-460X(81)80122-8
  8. Yamaki, N. and Nagai, K. (1975), "Dynamic stability of rectangular plates under periodic compressive forces", Reports of the Institute of the High Speed Mechanics, Tohoku University, 32, 103-127.

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