Publication: An extended nonlinear-based method for optimum cutting pattern generation of membrane structures
Issued Date
2010-08-24
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ISSN
15517616
0094243X
0094243X
Other identifier(s)
2-s2.0-77955723256
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Mahidol University
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SCOPUS
Bibliographic Citation
AIP Conference Proceedings. Vol.1233, No.PART 1 (2010), 970-975
Suggested Citation
W. Punurai, W. Tongpool, W. Saardwong An extended nonlinear-based method for optimum cutting pattern generation of membrane structures. AIP Conference Proceedings. Vol.1233, No.PART 1 (2010), 970-975. doi:10.1063/1.3452312 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/29946
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Title
An extended nonlinear-based method for optimum cutting pattern generation of membrane structures
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Abstract
The cutting pattern for membrane structures obtained by using the geodesic line method or flattening technique does not allow the actual stresses in the structures to be specified. As a result, the occurrence of surface wrinkles may form under service loading. In this paper, a method for determining an optimum cutting pattern which accounts for the designed stresses of the membrane structures is presented. Using the displacements of the 3-D surface as the key variables, the method proposed utilizes a nonlinear analysis technique based upon the second Piola-Kirchhoff stress tensor, Green strain tensor and Saint Venant-Kirchhoff hyperelastic material. The genetic algorithm is also adopted to solve the optimization problem. To verify the validation of the existing method, a cone shape membrane structure was analyzed. By using the proposed method, the deviation of the actual membrane stresses from the assumed design stresses could be reduced. © 2010 American Institute of Physics.