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탄성지지된 집중질량을 갖는 변단면 후판의 진동해석

Vibration Analysis of Thick Plates with Concentrated Mass on Elastic Foundation

  • 발행 : 2006.06.01

초록

This study is undertaken for the vibration analysis of tapered thick plate with concentrated mass on elastic foundation. The boundary condition of the plate is analyzed with the 4-sides simply supported and 4-fixed basis. This study find out the frequency following the change in size for each foundational variable on Pasternak foundation, one of the two-parameter elastic foundation parameter that considered the shear layer to the Winkler foundation parameter. The concentrated mass is applied with the consideration of mass of the entire plate, and the change of frequency is studies on each location with the consideration of reacting for the three locations for concentrated mass. And, in order to find out the change of frequency on the thickness of the plate, it considered tapered ratio that linearly changes depending on the length of the plate with the thickness of the plate in x-direction, and the tapered ratio has changes with 4 types ($\alpha$=0.25, 0, 5, 0.75, and 1.0). For the interpretation, the program using finite element method (F.E.M.) is used and the element coordination is used the 8-node serendipity element. Therefore, the purpose of this study is to find out the characteristics of plate vibration under the mechanica vibration or external vibration factor to facilitate as the basic data of the design to secure the stability.

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참고문헌

  1. Low, K. H., Ng, C. K. and Ong, Y. K., 1993, 'Comparative Study of Frequencies for Carrying Mass,' ASCE J. Engng Mech. ASCE Vol. 119, No. 5, pp. 917 - 937 https://doi.org/10.1061/(ASCE)0733-9399(1993)119:5(917)
  2. Kukreti, A. R., Farsa J. and Bert, C. W., 1996, Differential Quadrature and Rayleigh-Ritz Method to Determine the Fundamental Frequencies of Simply Supported Rectangular Plates with Linearly Varying Thickness, J. of Sound and Vibration, pp. 103 -122
  3. Laura, P. A. A. and Gutierrez, R. H., 1985, ' Transverse Vibration of Rectangular Plates on Inhomogeneous Foundations Part I: Rayleigh-Ritz Method,' J. of Sound and Vibration, Vol. 101, pp. 307 - 315 https://doi.org/10.1016/S0022-460X(85)80131-0
  4. Horenberg, J. A. G. and Kerstens, J. G. M. 1985, ' Transverse Vibrations of Rectangular Plates on Inhomogeneous Foundations Part II: Modal Constraint Method, ' Computers and Structures, Vol. 101, pp. 317 - 324
  5. Matsunaga, H., 2000, ' Vibration and Stability of Thick Plates in Elastic Foundations,' Journal of Enginerring Mechanics, pp. 27 - 34
  6. Leissa, A., 1993 ' Vibration of plates,' Acoustical Society of America
  7. Kim, I. -J., 2005, 'Free Vibration of Thick Plates with Concentrated Masses on In-homogeneous Pasternak Foundation,' Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 13, No.4 pp. 281 - 289 https://doi.org/10.5050/KSNVN.2003.13.4.281