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


IASS Symposium 2016

SESSION: Form Finding & Optimization

Shape optimization of latticed shells consisting of ruled surface

< Table of Contents for Form Finding & Optimization
  • Proceedings Name: IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century
  • ISSN: (Electronic Version) 2518-6582
  • Session: Form Finding & Optimization
  • Pages: 9
  • Title: Shape optimization of latticed shells consisting of ruled surface
  • Author(s): Shinnosuke Fujita, Makoto Ohsaki, Kazuya Seki
  • Keywords: shape optimization, Bezier curve, nonlinear programming, ruled surface
Abstract
A shape optimization method is presented for latticed shells using ruled surface.Boundary shape is defined using two Bezier curves, and the points with the same parameter value are connected by a line to model a ruled surface.The locations of control points of the Bezier curves are considered as design variables of the optimization problem. The total strain energy is minimized under constraints on material volume.In this optimization problem, not only vertical loads but also horizontal loads are considered.While the optimal shape is expected to have a large stiffness, it does not necessarily have enough capacity for the stress limit.Therefore, we solve another optimization problem considering strain energy and stress constraint. The effectiveness of the proposed approach is confirmed through numerical examples, and the characteristics of the optimal shapes are discussed.

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