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The Effects of the Aspect Ratio on Natural Frequency of the Advanced Composite Materials Road Structures

복합신소재 도로구조물의 형상비가 고유진동수에 미치는 영향

  • Received : 2013.04.02
  • Accepted : 2013.05.27
  • Published : 2013.06.17

Abstract

PURPOSES: Current theories for composite structures are too difficult for design engineers for construction. The purpose of this paper is to demonstrate to the practicing engineers, how to apply the advanced composite materials theory to the road structures. METHODS: Some laminate orientations have decreasing values of $D_{16}$, $B_{16}$, $D_{26}$ and $B_{26}$ stiffnesses as the ply number increases. The plate aspect ratio considered is from 1 to 5. In order to study the effect of $M_x$ on the equilibrium equations, two cases are considered. $M_x$ term is considered or neglected. RESULTS: Most of the road structures have high aspect ratios, for such cases further simplification is possible by neglecting the effect of the longitudinal moment terms. CONCLUSIONS: Most of the road structures have plate aspect ratios higher than 2. It is concluded that, for all boundary conditions, neglecting the longitudinal moment($M_x$) terms is acceptable if the aspect ratio (a/b) is equal to or higher than 2. This conclusion gives good guide line for design of the road structures.

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References

  1. Ashton, J. E.," Anisotropic Plate Analysis- Boundary Condition", J. of Composite Materials. pp. 162-171, April, 1970.
  2. Han, B. K., Kim, D. H., "Simple Method of Vibration Analysis of Three Span Continuous Reinforced Concrete Bridge with Elastic Intermediate Supportm", Journal of Korean Society for Composite Materials, Vol. 17, No. 3, 2004, pp. 23-28.
  3. Han, B. K, Kim, D. H., "Analysis of Steel Bridges by Means of Specially Orthotropic Plate Theory", Journal of Korean Society of Steel Construction, Vol. 13, No. 1, 2001, pp. 61-69.
  4. Han, B. K, Kim, D. H," A Study on Size/Scale Effects in the Failure of Specially Orthotropic Slab Bridges"Journal of Korean Society for Composite Materials, Vol. 23, No. 1, 2010, pp. 23-30. https://doi.org/10.7234/kscm.2010.23.1.023
  5. Kim, D. H., "Composite Structures for Civil and Architectural Engineering", E&FN SPON, Chapman & Hall, London, 1995.
  6. Kim, D. H., Han, B. K., Lee, J. H., Hong, C. W., "Simple Methods of Vibration Analysis of Three Span Continuous Reinforced Concrete Bridge with Elastic Intermediate Supports", Proceeding of the Advances in Structural Engineering and Mechanics, Seoul, Vol. 2, pp. 1279 - 1284, 1999
  7. Pagano, N. J., 1970. "Exact Solution for Rectangular Bidirectional Composites and Sandwich Plates", Journal of Composites Materials, Vol. 4, No. 1, pp 20-34. https://doi.org/10.1177/002199837000400102
  8. Stephen P. Timoshenko, and S. Woinowsky-krieger, 1989. "Theory of Plates and Shells, Second Edition", Mcgraw Hill Book Co
  9. Whitney, J. M. and Leissa, A. W., 1970. "Analysis of a Simply Supported Laminated Anisotropic Rectangular Plate", J. of AIAA, Vol. 8, No. 1 pp. 28-33. https://doi.org/10.2514/3.5601