DOI QR코드

DOI QR Code

The Theory of Thin-Walled Curved Rectangular Box Beams Under Torsion and Out-of-Plane Bending

비틀림과 평면외 굽힘을 받는 직사각단면 곡선 박판보 이론

  • Published : 2000.10.01

Abstract

We propose a new one-dimensional theory for thin-walled curved box beams having rectangular cross sections, in which torsional, out-of-plane bending, warping and distortional deformations are coupled. The major difference between the present theory and existing theories lies in that the present theory takes into account additional distortion as well as warping. To verify the present theory, a standard finite element based on the present theory is developed and used for numerical analysis. A couple of numerical examples indeed confirm that the consideration of warping and distortional deformations is very important.

Keywords

Curved Box Beam;Thin-Walled Beam;Warping;Distortion;Bending

References

  1. Zienkiewicz, O. C. and Taylor, R. L., 1989, The Finite Element Method, Vol. 1, 4th ed., McGraw-Hill, Inc., London
  2. Razaqpur, A. G. and Li, H. G., 1994, 'Refined Analysis of Curved Thin-Walled Multicell Box Girders,' Computers & Structures, Vol. 53, No. 1, pp. 131-142 https://doi.org/10.1016/0045-7949(94)90136-8
  3. Mentrasti, L., 1995, 'Curved Thin-Walled Open-Closed Cross Section Beams with Finite Width,' International Journal of Engineering Science, Vol. 33, No. 4, pp. 497-524 https://doi.org/10.1016/0020-7225(94)00076-X
  4. Hughes, T. J. R., 1987, The Finite Element Method, Prentice-Hall, Inc., New Jersey
  5. Chu, K. H. and Pinjarkar, S. G., 1971, 'Analysis of Horizontally Curved Box Girder Bridges,' Journal of Structural Division, ASCE, Vol. 97, No. ST10, pp. 2481-2501
  6. Zhang, S. H. and Lyons, L. P. R., 1984, 'A Thin-Walled Box Beam Finite Element for Curved Bridge Analysis,' Computers & Structures, Vol. 18, No. 6, pp. 1035-1046 https://doi.org/10.1016/0045-7949(84)90148-2
  7. Li, W. Y., Than, L. G. and Cheung, Y. K., 1988, 'Curved Box-Girder Bridges,' Journal of Structural Engineering, ASCE, Vol. 114, No. 6, pp. 1324-1338
  8. Kang, K., Bert, C. W. and Striz, A. G., 1996, 'Vibration Analysis of Horizontally Curved Beams with Warping Using DQM,' Journal of Structural Engineering, ASCE, Vol. 122, No. 6, pp. 657-662 https://doi.org/10.1061/(ASCE)0733-9445(1996)122:6(657)
  9. Hsu, Y. T., Fu, C. C. and Schelling, D. R., 1990, 'An Imoroved Horizontally-Curved Beam Element,' Computers & Structures, Vol. 34, No. 2, pp. 313-318 https://doi.org/10.1016/0045-7949(90)90375-C
  10. Fu, C. C. and Hsu, Y. T., 1995, 'The Development of an Improved Curvilinear Thin-Walled Vlasov Element,' Computers & Structures, Vol. 54, No. 1, pp. 147-159 https://doi.org/10.1016/0045-7949(94)P4141-Y
  11. Brookhart, G. C., 1967, 'Circular-Arc I-Type Girders,' Journal of Structural Division, ASCE, Vol. 93, No. ST6, pp. 133-159
  12. El-Amin, F. M., 1976, 'Horizontally Curved Beam Finite Element Including Warping,' International Journal for Numerical Methods in Engineering, Vol. 10, pp. 1397-1428 https://doi.org/10.1002/nme.1620100618
  13. Kim, Y. Y. and Kim, J. H., 1999, 'Thin -Walled Closed Box Beam Element for Static and Dynamic Analysis,' International Journal for Numerical Methods in Engineering, Vol. 45, pp. 473-490 https://doi.org/10.1002/(SICI)1097-0207(19990610)45:4<473::AID-NME603>3.0.CO;2-B
  14. Kim, J. H. and Kim, Y. Y., 1999, 'Analysis of Thin-Walled Closed Beams with General Quadrilateral Cross Sections,' Journal of Applied Mechanics, ASME, Vol. 66(4), pp. 904-912
  15. Kim, J. H. and Kim, Y. Y., 'Finite Element Analysis of Thin-Walled Closed Beams with General Cross Sections,' to appear in International Journal for Numerical Methods in Engineering
  16. 김윤영, 2000년 출간예정, 선형 탄성학과 응용, 문운당
  17. Vlasov, V. Z., 1961, Thin Walled Elastic Beams, Israel Program for Scientific Translations, Jerusalem
  18. 김윤영, 김진홍, 송상헌, 1998, '비틀림을 받는 직사각 폐단면 박판보 유한요소 개발,' 대한기계학회논문집(A), 제22권, 제6호, pp. 947-954