DOI QR코드

DOI QR Code

Free Vibration Analysis of Stiffened Tapered Thick Plates with Concentrated Masses

집중질량을 갖는 변단면 보강 후판의 자유진동해석

  • Published : 2009.08.20

Abstract

Recently, as high-rise buildings increase steeply, sub-structures of them are often supported on elastic foundation(in a case of pasternak foundation or winkler foundation). And there are many machines in sub-structures of buildings and slabs of sub-structures are affected by vibration which they make. This paper deals with vibration of plates on elastic foundation. Machines on plates are considered as concentrated mass. This paper has the object of investigating natural frequencies of tapered thick plate on pasternak foundation by means of finite element method and providing kinetic design data for mat of building structures. Free vibration analysis that tapered thick plate with Concentrated Masses in this paper. Finite element analysis of rectangular plate is done by use of rectangular finite element with 8-nodes. In order to analysis plate which is supported on pasternak foundation. The Winkler parameter is varied with 10, $10^2$, $10^3$ and the shear foundation parameter is 5, 10. This paper is analyzed varying thickness by taper ratio. The taper ratio is applied as 0.0, 0.25, 0.5, 0.75, 1.0. And the Concentrated Mass is applied as P1, Pc, P2 respectively.

Keywords

References

  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, No. 917-937 https://doi.org/10.1061/(ASCE)0733-9399(1993)119:5(917)
  2. Leissa, A. W., 1973, "The Free Vibration of Plates," Journal of Sound and Vibration, Vol. 31, No. 3, pp. 257-293 https://doi.org/10.1016/S0022-460X(73)80371-2
  3. Laura, P. A. A. and Gutierrez, R. H., 1985, "Transverse Vibration of Rectangular Plates on Inhomogeneous Foundations Part I: Rayleigh-Ritz Method," Journal of Sound and Vibration, Vol. 101, pp. 307-315 https://doi.org/10.1016/S0022-460X(85)80131-0
  4. 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. Sound and Vibration, Vol. 189, pp. 103-122 https://doi.org/10.1006/jsvi.1996.0008
  5. Cheung, Y. K., Zhou, D., 2003, "Vibration of Tapered Mindlin Plates Terms of Statics Timoshenko Beam Functions," Journal of Sound and Vibration, Vol. 260, pp. 693-709 https://doi.org/10.1016/S0022-460X(02)01008-8
  6. 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
  7. Matsunaga, H., 2000, "Vibration and Stability of Thick Plates in Elastic Foundations," Journal of Enginerring Mechanics, pp. 27-34
  8. Celik, M. and Saygun, A., 1999, "A Method for the Analysis of Plates on a Two-parameter Foundation," Computer and Structure, Vol. 36, pp.2891-2915
  9. Leissa, A., 1993, "Vibration of Plates," Acoustical Society of America
  10. 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
  11. Oh, S. K. 2003, "Free Vibration Analysis of Thick Plate Subjected to In-plane Force on Inhomogeneous Pasternak Foundation," Korean Society of Steeel Constructionvol, Vol. 15, No. 3, pp. 291-298
  12. Kim, I.-J., 2005, "Free Vibration Analysis of Tapered Opening Thick Platepro," Proceedings of the KSNVE Annual Autumn Conference, pp. 907-910
  13. Lee, B. G., et al., 2007, "Parametric Studies of Flexural Free Vibrations of Circular Strip Foundations with Various End Constraints Resting on Pasternak Soil", Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 17, No. 9, pp. 835-846 https://doi.org/10.5050/KSNVN.2007.17.9.835
  14. Ugural, A. C., 1981, "Stresses in Plates and Shells," McGraw-Hill

Cited by

  1. Dynamic Stability Analysis of Thick Plates with Varying Thickness and Concentrated Mass on Inhomogeneous Pasternak Foundation vol.21, pp.8, 2011, https://doi.org/10.5050/KSNVE.2011.21.8.698