Optimization of gridshell bar orientation using a simplified genetic approach

Gridshells are defined as structures that have the shape and rigidity of a double curvature shell but consist of a grid instead of a continuous surface. This study concerns those obtained by elastic deformation of an initially flat two-way grid. This paper presents a novel approach to generate gridshells on an imposed shape under imposed boundary conditions. A numerical tool based on a geometrical method, the compass method, is developed. It is coupled with genetic algorithms to optimize the orientation of gridshell bars in order to minimize the stresses and therefore to avoid bar breakage during the construction phase. Examples of application are shown.

[1]  H. Nooshin,et al.  Configuration processing of nexorades using genetic algorithms , 2004 .

[2]  Olivier Baverel,et al.  Gridshells in Composite Materials: Construction of a 300 m2 Forum for the Solidays’ Festival in Paris , 2012 .

[3]  Richard Harris,et al.  Design and construction of the Downland Gridshell , 2003 .

[4]  Olivier Baverel,et al.  From shape to shell: a design tool to materialize freeform shapes using gridshell structures , 2013 .

[5]  Olivier Baverel,et al.  Mapping two-way continuous elastic grid on an imposed surface: Application to grid shells , 2010 .

[6]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[7]  Robert Hooke,et al.  A description of helioscopes, and some other instruments , 2004 .

[8]  Sigrid Adriaenssens,et al.  Tensegrity Spline Beam and Grid Shell Structures , 2001 .

[9]  Sergio Pellegrino,et al.  Multi-objective optimization of free-form grid structures , 2009 .

[10]  Olivier Baverel,et al.  Structural Optimization of Gridshells , 2011 .

[11]  Eugene Vladimirovich Popov,et al.  Geometric Approach to Chebyshev Net Generation Along an Arbitrary Surface Represented by NURBS , 2002 .

[12]  Jonathan Roynon,et al.  The Savill Garden Gridshell design and construction , 2008 .

[13]  P. Boisse,et al.  3 – Finite element analysis of composite forming , 2007 .

[14]  Emmanuelle Vidal-Salle,et al.  Simulation of wrinkling during textile composite reinforcement forming. Influence of tensile, in-plane shear and bending stiffnesses , 2011 .

[15]  Gilbert Syswerda,et al.  Uniform Crossover in Genetic Algorithms , 1989, ICGA.

[16]  Angela Vincenti,et al.  BIANCA: a genetic algorithm to solve hard combinatorial optimisation problems in engineering , 2010, J. Glob. Optim..

[17]  F. Van Der Weeën,et al.  Algorithms for draping fabrics on doubly‐curved surfaces , 1991 .

[18]  Olivier Baverel,et al.  Form-finding of a grid shell in composite materials , 2006 .

[19]  Philippe Boisse,et al.  A semi‐discrete shell finite element for textile composite reinforcement forming simulation , 2009 .

[20]  Michael Barnes.  Form and stress engineering of tension structures , 1994 .

[21]  Yoshihiko. Kuroiwa.  Regularisation of Structural Forms Using Genetic Algorithms. , 2000 .

[22]  Sergio Pellegrino,et al.  MAPPING TWO-WAY GRIDS ONTO FREE-FORM SURFACES , 2008 .

[23]  M. Barnes,et al.  Form Finding and Analysis of Tension Structures by Dynamic Relaxation , 1999 .

[24]  Olivier Baverel,et al.  Design of nexorades or reciprocal frame systems with the dynamic relaxation method , 2009 .

[25]  Olivier Baverel,et al.  Gridshell structures in glass fibre reinforced polymers , 2010 .