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Structural Engineering and Mechanics Volume 39, Number 1, July10 2011 , pages 93-113 DOI: https://doi.org/10.12989/sem.2011.39.1.093 |
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Geodesic shape finding of membrane structure with geodesic string by the dynamic relaxation method |
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K.S. Lee and S.E. Han
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| Abstract | ||
| The explicit nonlinear dynamic relaxation method (DRM) is applied to the nonlinear geodesic shape finding analysis by introducing fictional tensioned \'strings\' along the desired seams with a three or four-node membrane element. A number of results from the numerical example for the nonlinear geodesic shape finding and patterning analysis are obtained by the proposed method to demonstrate the accuracy and efficiency of the developed method. Therefore, the proposed geodesic shape finding algorithm may improve the applicability of a four-node membrane element to membrane structural engineering and design analysis simultaneously for the shape finding, stress, and patterning analysis. | ||
| Key Words | ||
| tension membrane structures; patterning; geodesic element; shape finding algorithm; dynamic relaxation method; kinetic damping | ||
| Address | ||
| K.S. Lee and S.E. Han: Department of Architectural Engineering, School of Architecture, Inha University, 253 Yonghyundong, Nam-gu, Incheon 402-751, Korea | ||