W. PunuraiW. TongpoolW. SaardwongMahidol UniversityArchitectural Engineering 49 LimitedItalian-Thai Development PCL2018-09-242018-09-242010-08-24AIP Conference Proceedings. Vol.1233, No.PART 1 (2010), 970-975155176160094243X2-s2.0-77955723256https://repository.li.mahidol.ac.th/handle/20.500.14594/29946The 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.Mahidol UniversityPhysics and AstronomyConference PaperSCOPUS10.1063/1.3452312