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IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century


IASS Symposium 2016

SESSION: Computational Methods

Shape optimization of gridshells by bending moment minimization

< Table of Contents for Computational Methods
  • Proceedings Name: IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century
  • ISSN: (Electronic Version) 2518-6582
  • Session: Computational Methods
  • Pages: 10
  • Title: Shape optimization of gridshells by bending moment minimization
  • Author(s): Giovanni Della Puppa, Martin Trautz, Stefano Lenci
  • Keywords: optimization, form-finding, gridshells, direct differentiation, differential evolution
Abstract
Due to the enhanced efficiency of structures subjected to normal stresses rather than bending, the optimization of a gridshell should seek for an almost moment-free design, whereas the design variables are represented by the nodal elevations. The new approach proposed in this paper is based on a discretization of the structure with 3D Beam elements. The objective function is defined as a scalar indicator of the bending moment, which affects the entire structure. First order sensitivities are achieved by direct differentiation of the objective function with respect to nodal elevations. Both gradient-based and evolutionary algorithms are applied in order to search for an optimal design. Results are compared with benchmarks found in the references.

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