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탄성지반을 고려한 집중질량뜰 갖고 면내력이 작용하는 변단면 보강후판의 진동해석

Vibration Analysis of Tapered Thick Plate with Concentrated Mass Subjected to In-plane Force on Elastic Foundation

  • 발행 : 2008.10.20

초록

The purpose of this paper is to investigate natural frequencies of tapered thick plate with concentrated masses subjected to in-plane force on pasternak foundation by means of finite element method and providing kinetic design data for mat of building structures. Finite element analysis of rectangular plate is done by using rectangular finite element with 8-nodes. For analysis, plates is supported on pasternak foundation. The Winkler parameter is varied with 10, 102, the shear foundation parameter is 5. The taper ratio is applied as 0.0, 0.25, 0.5 and the ratio of the concentrated mass to plate mass as 0.25, 0.5 respectively. As results, we can see that when stiffener's sizes or foundation parameter are larger, the natural frequency increases, and when the concentrated mass or taper ratio or in-plane stress is larger, the natural frequency decreases.

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참고문헌

  1. Hearmon, R. F. S., 1959, "The Frequancy of Flexural Vibration of Rectangular Orthotropic Plates with Clamped or Supported Edges", J. appl. Mech. Trans. ASME, pp. 537-540
  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., 1984, "Vibration of Plates Elastically Supported on a Non-homogeneous Foundation", Journal of Sound and Vibration, Vol. 95, No. 4. pp. 531-536 https://doi.org/10.1016/0022-460X(84)90235-9
  4. Laura, P. A. A. and Gutierrez, R. H., 1985, "Transverse Vibration of Rectangular Plates on Inhomogeneous Foundations Part I: Rayleigh-Ritz Method", JSV, Vol. 101, pp. 307-315 https://doi.org/10.1016/S0022-460X(85)80131-0
  5. Horenberg, J. A. G., & 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
  6. 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)
  7. Lee, S. G., 1996, "Stability of Rectangular Plates with Cutouts", 3rd Asian-Pacific Conference on Computational Mechanics(APCOM-3), Seoul Korea, pp. 479-484
  8. Lee, Y.-S., etc., 1999, "A Study on the Buckling and the Vibration Analysis of the Stiffened Plates with Elastic Spring", Proceedings of the Computational Structural Engineering Institute Conference, Vol. 12, No. 2, pp. 35-42
  9. Mecit, C. and Ahmet, S., 1999, "A Method for the Analysis of Plates on a Two-parameter Foundation", Computer and Structure, Vol. 36, pp. 2891-2915
  10. Matsunaga, H., 2000 "Vibration and Stability of Thick Plates in Elastic Foundations", Journal of Enginerring Mechanics, pp. 27-34
  11. 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
  12. Lee, Y. S. and Kim, I. J., 2005 "Free Vibration Analysis of Tapered Opening Thick Plate", Proceedings of KSNVE Annual Autumn Conference, pp. 907-910
  13. Kim, I. J., Lee, Y. S. and Oh, S. K., 2004, "Dynamic Stability Analysis of Tapered Thick Plate", Proceedings of KSNVE Annual Autumn Conference, pp. 894-897
  14. Sheikh, I. A., Elwi, A. E. and Grondin, G. Y., 2003, "Stiffened Steel plates under Combined Compression and Bending", Journal of Construction Steel Research Vol. 59, pp. 911-930 https://doi.org/10.1016/S0143-974X(02)00079-2
  15. Lee, B. G., et al, 2007, " Parametric Studies of Flexural Free Vibrations of Circular Strip Foundations with Various End Constraints Resting on Pasternak Soil", 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
  16. Oh, S. K., 2004, "Stability Analysis of Stiffened Thick Plates on Pasternak Foundation", Doctor's Degree, Graduate School of Wonkwang Univ