Shape optimization of satellite tanks for minimum weight and maximum storage capacity

Abstract

The aim of structural design is to determine the dimensions and the shape of a system that fulfils certain requirements in an optimal way. Although this problem is not at all new, the application of mathematical algorithms together with multicriteria and shape optimization techniques as strategies for achieving an optimum are still very rarely used in practice. The efficiency of the optimization procedure SAPOP is demonstrated through the shape optimization of ultra light shell structures (e.g. satellite tanks) for which bending effects as well as the influence of large deformations in the shell theory are taken into account. After establishing a corresponding transfer matrix method for analysis, the meridional shape can be determined by using special shape functions (modified ellipsoids) and a “direct” shape optimization strategy. In addition, simultaneous optimization of shape and wall thickness distribution is introduced.