Shape optimization of spherical networks

摘要

Lattice shells are characterized by significant number of different elements, whereas aes- thetic, practical and economic considrations call for rendering each component (Joints, bars, cladding panels) as uniform as possible. Regular subdivisions of the shell can generally be ob- tained by moving the joints on its middle surface until a global characteristic property of the network, expressed by some function defined on the set of nodal coordinates, reaches a rela- tive extremum. In this paper, the geometry of single-layer spherical networks of given topol- ogy is optimized according to two criteria: the first is to minimize the sum of the bar lengths the second to minimize their variance.