한국복합재료학회:학술대회논문집 (Proceedings of the Korean Society For Composite Materials Conference)
- 한국복합재료학회 2001년도 추계학술발표대회 논문집
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- Pages.163-169
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- 2001
Elliptic Integral Solutions of Large Deflection of Reinforcing Fiber Elastica with Circular Wavy Pattern
- Jung, Jae-Ho (Department of Material Engineering, Seoul National University) ;
- Lee, Kyung-Woo (Department of Textile and Fashion, Dong-Ah University) ;
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Kang, Tae-Jin
(Department of Material Engineering, Seoul National University)
- 발행 : 2001.10.01
초록
The solution of two-dimensional deflection of circular wavy reinforcing fiber elastics was obtained for one end clamped boundary under concentrated load condition. The fiber was regarded as a linear elastic material. Wavy shape was described as a combination of half-circular arc smoothly connected each other with constant curvature of all the same magnitude and alternative sign. Also load direction was taken into account. As a result, the solution was expressed in terms of a series of elliptic integrals. These elliptic integrals had two different transformed parameters involved with load value and initial radius of curvature. While we found the exact solutions and expressed them in terms of elliptic integrals, the recursive ignition formulae about the displacement and arc length at each segment of circular section were obtained. Algorithm of determining unknown parameters was established and the profile curve of deflected beam was shown in comparison with initial shape.