Curved Surface Shape Optimization by Minimization of Moment Distribution Application to Real Structure

1. Abstract This paper is aimed at minimizing the bending moment which caused in curved surface structures. The dimension of structure weight is three, and the material strength dimension is two. Therefore, the bigger the structure scale is, the more bearing capacity will be occupied by initial stress caused by dead load. Thus, with the growing of span, structural form will be greatly restricted by mechanics. Finally, it will be difficult to achieve the shape with high efficiency. And, the curved surface structures are used in large scale, so the mechanical behavior of this kind of structure can’t be accurately evaluated by intuition. For this reason, it will be hoped that some presentation can be put forward for structure design target. Usually method is according to required design condition, calculating the minimal cost of structure after the curved surface structure’s shape has been decided. However, as previously mentioned, it is difficult to evaluate the mechanics behavior of curved surface structure by intuition, such as complicated linear problem, the free-form surface problem of geometry function. Therefore, the curved surface shape is limited by the solution gained from design condition, and this solution can’t be explained by mechanics. Because the form of curved surface structure is determined by mechanics, it’s important to hold the global feature by investigating the influence caused by various mechanics response. As the basal research of curved surface shape decided by mechanics behavior, the point of this paper is to consider typical character of this structure, the bending moment distribution. The bending moment primarily aroused by materials plasticization is main stress component. Hence, taking collapse into account, bending moment become good mechanical evaluation index of material nonlinearity and geometry nonlinearity.