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http://dx.doi.org/10.11112/jksmi.2011.15.6.219

The Influence of the Aspect Ratio on the Natural Frequency of the Specially Orthotropic Laminated Plates  

Han, Bong Koo (서울과학기술대학교 건설공학부)
Kim, Duck Hyun (서울과학기술대학교 건설공학부)
Publication Information
Journal of the Korea institute for structural maintenance and inspection / v.15, no.6, 2011 , pp. 219-225 More about this Journal
Abstract
Advanced composite structures are too difficult for such design engineers for construction and some simple but accurate enough methods are necessary. The simply supported laminated plates are analyzed by the specially orthotropic laminates theory. This method, however, may be too difficult for some practising engineers. In this paper, the result of analysis for such plate by means of the beam theory with unit width is reported. The plate aspect ratio considered is from 1 : 1 to 1 : 5. Most of the bridge and building slabs on girders have large aspect ratios. For such cases further simplification is possible by neglecting the effect of the longitudinal moment terms($M_x$) on the relevant partial differential equations of equilibrium. In this paper. the influence of the aspect ratio on the natural frequency of the specially orthotropic laminated plates is studied and it is concluded that the method used is sufficiently accurate for engineering purposes. The result of this paper can be used for simply supported laminated plates analysis.
Keywords
Natural frequency; Aspect ratio; Specially orthotropic laminated plates;
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  • Reference
1 Goldberg, John E. and Kim, D. H., "The Effect of Neglecting the Radial Moment Term in Analyzing a Sectorial Plate by Means of Finite Differences", Proc, of the Seventh International Symposium on Space Technology and Sciences, Tokyo, Japan, 1967.
2 Han, B. K. and Kim D. H., "Analysis of Steel Bridges by Means of Specially Orthotropic Plate Theory", Jour. of KSSC, vol 13, No. 1, 2001, pp.61-69.
3 Han, B. K, and Kim, D. H., "Analysis of Prstressed Concrete Slab Bridge by Beam Theory", Jour. of KISM, vol. 7, No. 2, 2003, pp.115-124.
4 Han, B. K, and Kim, D. H., "Simple Method of Analysis for Reinforced Concrete Slab Bridges", Jour. of KISM, vol. 7, No. 4, 2003, pp.110-118.
5 Han, B. K. and Suk, J. W., "The Influence of the Aspect Ratio on the Natural Frequency of the Composite Laminated Plates", Jour. of the Korean Society for Advanced Composite Structures, vol. 1, No. 2, 2010, pp.14-18.
6 Kim. D. H., "A Method of Vibration Analysis of Irreqularly Shaped Structural Members", Proceedings, International Symposium on Engineering Problems in Creating Coastal Industrial Sites, Seoul, Korea, October, 1974.
7 Kim, D. H., "Simple Method of Anaysis for Preliminary Design of Certain Composite Laminated Primary Structures for Civil Construction II", Journal of Materials Processing Technology, 55, Elsevier, London, 1993.
8 Kim, D. H., "Composite Structure for Civil and Architectural Engineering", E & FN Spon, 1st edition, London, 1995,
9 Pagano, N. J., "Exact Solution for Rectangular Bidirectional Composites and Sandwich Plates", Jour. of Composites Materials, vol. 4, No. 1, 1970, pp.20-34.   DOI
10 Stephen P. Timoshenko, and S. Woinowsky- krieger, "Theory of Plates and Shells, Second Edition", Mcgraw Hill Book Co., 1989.
11 Whitney, J. M. and Leissa, A. W., "Analysis of a Simply Supported Laminated Anisotropic Rectangular Plate", Jour. of AIAA, vol. 8, No. 1, 1970, pp.28-33, 1970.   DOI
12 Ashton, J. E., "Anisotropic Plate Analysis- Boundary Condition", Jour. of Composite Materials, April, 1970, pp.162-171,