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Dynamic Stability Analysis of Stiffened Tapered Thick Plate with Concentrated Mass on Pasternak Foundations

Pasternak지반에 지지된 집중질량을 갖는 보강된 변단면 후판의 동적안정해석

  • 이용수 (원광대학교 건축공학부) ;
  • 김일중 (전북과학대학 건축토목계열)
  • Published : 2009.12.20

Abstract

This paper has the object of investigating dynamic stability of stiffened tapered thick plate with concentrated mass on Pasternak foundation by means of finite element method and providing kinematic design data for mat of building structures. Finite element analysis of stiffened tapered thick 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 foundation parameter is varied with 10, 100, 1000 and the shear foundation parameter is 5, 10, concentrated mass is $0.25m_c$, $1.0m_c$, tapered ratio is 0.25, 0.5. The ratio of In-plane force to critical load is applied as $0.4\sigma_{cr},\;0.6\sigma_{cr},\;0.8\sigma_{cr}$ respectively. This paper analyzed varying tapered ratio.

Keywords

References

  1. Horenberg, J. A. G. and Kerstens, J. G. M., 1985, 'Transverse Vibrations of Rectangular Plates on Inhomogeneous Foundations Part II: Modal Constraint Method,' J. Sound and Vibration, Vol. 101, pp. 317-324 https://doi.org/10.1016/S0022-460X(85)80132-2
  2. Celik, M. and Saygun, A., 1998, 'A Method for the Analysis of Plates on a Two-parameter Foundation,' Computer & Structures, Vol. 36, pp. 2891-2915
  3. Matsunaga, H., 1997, 'Buckling Instability of Thick Elastic Plates Subjected to In-plane Stresses,' Computer & Structures, Vol. 62, No.1, pp. 205-214 https://doi.org/10.1016/S0045-7949(96)00239-8
  4. Yokoyama, T., 1988, 'Parametric Instability of Timoshenko Beams Resting on an Elastic Foundation,' Computer & Structures, Vol. 28, No. 2, pp. 207-216 https://doi.org/10.1016/0045-7949(88)90041-7
  5. Kukreti, A. R., Farsa J. and Ber, 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 & Vibration, Vol. 189, Issue 1, pp. 103-122 https://doi.org/10.1006/jsvi.1996.0008
  6. Oh, S. K., 2003, 'Free Vibration Analysis of Thick Plate Subjected to In-plane Force on Inhomogeneous Pasternak Foundation,' Korean Society of Steeel Construction, Vol. 15, No. 3, pp. 291-298
  7. Lee, Y. S. and Kim, I. J., 2005 'Free Vibration Analysis of Tapered Opening Thick Plate,' Proceedings of the KSNVE Annual Autumn Conference, pp. 907-910
  8. Kim, I. J., Lee, Y. S. and Oh, S. K., 2004, 'Dynamic Stability Analysis of Tapered Thick Plate,' Proceedings of the KSNVE Annual Autumn Conference, pp. 894-897
  9. Matsunaga, H., 2004, 'Vibration and Stability of Thick Plates in Elastic Foundations,' J. Engineering Mechanics, pp. 27-34 https://doi.org/10.1061/(ASCE)0733-9399(2000)126:1(27)
  10. Lee, B. G., Li G. F., Kang, H. J. and Yoon, H. M., 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
  11. Oh, S. K., 2004, 'Stability Analysis of Stiffened Thick Plates on Pasternak Foundation,' Ph.D. Thesis, Wonkwang Univ.