Structural Engineering and Mechanics

  • 제6권8호
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  • Pages.939-953
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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

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

  • 발행 : 1998.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

  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.

피인용 문헌

  1. Dynamic stability analysis and control of a composite beam with piezoelectric layers vol.56, pp.1, 2002, https://doi.org/10.1016/S0263-8223(01)00183-0
  2. Dynamic stability of a shape memory alloy wire reinforced composite beam vol.56, pp.3, 2002, https://doi.org/10.1016/S0263-8223(02)00008-9
  3. Effects of constraint, circular cutout and in-plane loading on vibration of rectangular plates vol.68, 2013, https://doi.org/10.1016/j.ijmecsci.2013.01.005
  4. The effects of in-plane loading on vibration and buckling of the grooved plates vol.60, pp.1, 2012, https://doi.org/10.1016/j.ijmecsci.2012.04.003
  5. 매개 가진되는 얇은 외팔보의 비선형 진동 안정성 vol.18, pp.2, 1998, https://doi.org/10.5050/ksnvn.2008.18.2.160
  6. Non-linear response and buckling of imperfect laminated composite plates under in-plane pulse forces vol.235, pp.22, 1998, https://doi.org/10.1177/0954406221996391