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IASS-SLTE Symposium 2014: Shells, Membranes and Spatial Structures: Footprints


IASS Symposium 2014

SESSION: General 9: Computational Tools, Shape Finding and Optimization

A study on the triangular mesh modeling of grid shell using the differential evaluation algorithm

< Table of Contents for General 9: Computational Tools, Shape Finding and Optimization
  • Proceedings Name: IASS-SLTE Symposium 2014: Shells, Membranes and Spatial Structures: Footprints
  • ISSN: (Electronic Version) 2518-6582
  • Session: General 9: Computational Tools, Shape Finding and Optimization
  • Title: A study on the triangular mesh modeling of grid shell using the differential evaluation algorithm
  • Author(s): Sudeok SHON, Euishin KWAK, Seungjae LEE
  • Keywords: Triangular mesh: Differential evaluation algorithm: Standard deviations: Grid dome
Abstract
This paper aimed at modeling a triangular mesh for grid shell by using differential evolution algorithm. For this purpose, an optimization process to find a find regular triangular mesh on the curved surface was proposed and the program was developed. An objective function was consist of areas and edge's length of each triangular and its standard deviations, and design variables were subject to the upper and lower boundary which was calculated on the nodal connectivity. Triangular plate model and network dome models, which are initially consist of randomly irregular triangular mesh, are selected for the target examples. For the plate model, the results are well matched the exact solution, and the final triangular mesh is becoming the fine regular triangular exactly. In network dome models, the objective function are converged and well approached minimum standard deviation of triangular area and edge's length. Additionally, decreasing curvature of the model, the standard deviation of the mesh modeling is decreasing.

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