곡률과 회전을 고려한 유공 강판의 자유진동해석

Free Vibration Analysis of Perforated Steel Plates with Various Cutout Curvatures and Rotations

  • Woo, Jin-Ho (Department of Ocean Engineering, Pukyong National University) ;
  • Na, Won-Bae (Department of Ocean Engineering, Pukyong National University)
  • 투고 : 2010.08.12
  • 심사 : 2010.12.17
  • 발행 : 2010.12.31

초록

This study presents free vibration analyses of perforates steel plates with various cutouts. Four different parameters (shape, size, curvature radius ratio, and rotation of cutouts) were considered to investigate the effects of those parameters on the free vibration characteristics, such as natural frequencies of the perforated steel plates. Three different shapes of cutouts are circle, square, and triangle, and the considered sizes are 5, 10, 15, 20, and 25 mm. For the triangular and square cutouts, the characteristic radii of the inscribed circles of those cutouts were defined. In addition, the curvature radius ratio was defined as the ratio of curvature radius of bluntness and the characteristic radius. Then, total seven different curvature radius ratios (0, 0.1, 0.3, 0.5, 0.7, 0.9, and 1) were considered. To investigate the rotation effect of the cutouts, it was considered four rotations ($0^{\circ}$, $15^{\circ}$, $30^{\circ}$, and $45^{\circ}$) for the square cutouts and three rotations (0, 15, and 30) for the triangular cutouts. All the free vibration analyses were conducted using a general purpose finite element program. From the analyses we found that the most influential parameter for the free vibration response of the perforated plates is the size of cutout. The other factors such as the shape, curvature radius ratio, and rotation are minors; they mainly change the natural frequency as long as the size effect is accompanied.

키워드

참고문헌

  1. 곽문규, 한상보 (2005). “독립좌표연성법을 이용한 직사각형 구멍을 갖는 직사각형 평판의 자유진동해석”, 한국소음진동공학회논문집, Vol 15, No 12, pp 1398-1407. https://doi.org/10.5050/KSNVN.2005.15.12.1398
  2. 김극천, 한성용, 정정훈 (1987). “유공직사각형 보강판의 진동해석”, 대한조선학회지, Vol 24, No 3, pp 35-42.
  3. 윤종욱, 이장무 (1996). “이중 사인 시리즈법에 의한 직사각형 평판의 자유진동해석”, 한국소음진동공학회논문집, Vol 6, No 6, pp 771-777.
  4. 이영신, 이윤복 (1994). “2개의 원형구멍이 있는 4변 고정, 등방성 정사각형 판의 자유진동해석”, 한국소음진동공학회논문집, Vol 4, No 3, pp 283-293.
  5. Boay, C.G. (1996). ”Free Vibration of Laminated Composite Plates with a Central Circular Hole”, Composite Structures, Vol 35, pp 357-368. https://doi.org/10.1016/S0263-8223(96)00037-2
  6. Grossi, R.O., Arenas, B.D.V. and Laura, P.A.A. (1997). ”Free Vibration of Rectangular Plates with Circular Openings”, Ocean Engineering, Vol 24, No 1, pp 19-24. https://doi.org/10.1016/0029-8018(96)83604-3
  7. Hota, S.S. and Padhi, P. (2007). ”Vibration of Plates with Arbitrary Shapes of Cutouts”, Journal of Sound and Vibration, Vol 302, pp 1030-1036. https://doi.org/10.1016/j.jsv.2007.01.003
  8. Huang, M., Ma, X.Q., Sakiyama, T., Matsuda, H. and Morita, C. (2007). ”Free Vibration Analysis of Rectangular Plates with Variable Thickness and Point Supports”, Journal of Sound and Vibration, Vol 300, pp 435-452. https://doi.org/10.1016/j.jsv.2005.01.059
  9. Huang, M. and Sakiyama, T. (1999). ”Free Vibration Analysis of Rectangular Plates with Variously-shaped Holes”, Journal of Sound and Vibration, Vol 226, No 4, pp 769-786. https://doi.org/10.1006/jsvi.1999.2313
  10. Jhung, M.J., Choi, Y.H. and Ryu, Y.H. (2009). ”Free Vibration Analysis of Circular Plate with Eccentric Hole Submerged in Fluid”, Nuclear Engineering and Technology, Vol 41, No 3, pp 355-364. https://doi.org/10.5516/NET.2009.41.3.355
  11. Jhung, M.J. and Jo, J.C. (2006). ”Equivalent Material Properties of Perforated Plate with Triangular or Square Penetration Pattern for Dynamic Analysis”, Nuclear Engineering and Technology, Vol 38, No 7, pp 689-696.
  12. Kwak, M.K. and Han, S. (2007). ”Free Vibration Analysis of Rectangular Plate with a Hole by Means of Independent Coordinate Coupling Method”, Journal of Sound and Vibration, Vol 306, pp 12-30. https://doi.org/10.1016/j.jsv.2007.05.041
  13. Liew, K.M., Kitipornchai, S., Leung, A.Y.T. and Lim, C.W. (2003). ”Analysis of the Free Vibration of Rectangular Plates with Central Cut-outs using the Discrete Ritz Method”, International Journal of Mechanical Sciences, Vol 45, pp 941-959. https://doi.org/10.1016/S0020-7403(03)00109-7
  14. Liu, T., Wang, K., Dong, Q.W. and Liu, M.S. (2009). ”Hydroelastic Natural Vibrations of Perforated Plates with Cracks”, Procedia Engineering, Vol 1, pp 129-133. https://doi.org/10.1016/j.proeng.2009.06.030
  15. Sakiyama, T., Huang, M., Matsuda, H. and Morita, C. (2003). ”Free Vibration of Orthotropic Square Plates with a Square Hole”, Journal of Sound and Vibration, Vol 259, No 1, pp 63-80. https://doi.org/10.1006/jsvi.2002.5181