Parametric Modeling And Shape Optimization Of Six Typical Double Primary Ribs Reticulated Dome

Dome structure has the characteristics of both the reticulated shell structure and the truss structure, which is reasonable force, larger span, rich and beautiful modeling, broad application prospects. But the high cost of dome structure and it is necessary to optimal design.In this paper, based on the six typical double primary ribs reticulated dome the main load-bearing structure, setting the double rib, six typical double primary ribs reticulated dome was shaped. Through the research of mesh generation rules of six typical double primary ribs reticulated dome, applied the finite element software ANSYS APDL language to program the appropriate macro, parametric modeling of the six typical double primary ribs reticulated dome was realized; six typical double primary ribs reticulated dome model was generated through inputing a partial double spherical shell five geometric parameters (span S, rise high F, double primary ribs thickness T, number of hoop symmetry areas Kn and radial node cycles Nx). A large number of modeling examples show that the parametric modeling methods and modeling procedures are simple, efficient, practical, and greatly facilitate the partial double spherical network dome static analysis and the analytic comparison of various structural optimization design programs.Based on parametric modeling of six typical double primary ribs reticulated dome, through static analysis of six typical double primary ribs reticulated dome, compared to the partial doublespherical latticed dome static analysis results under the same geometric parameters and displacement constraints and loading conditions, the location and distribution pattern of the six typical double primary ribs reticulated dome in maximum displacement and stress was obtained, and provide a basis for optimization design for the partial double spherical reticulated dome. Base on the characteristics of the partial double spherical latticed dome and ANSYS software in an open environment, programmed FORTRAN Calling ANSYS to analysis the calculation module and deal with strength, stiffness and stability constraints of partial double spherical reticulated dome characteristics; base on discrete variable structural optimization design method, using a sequence of two algorithms preparation of partial double spherical reticulated dome shape optimization procedure, six typical double primary ribs reticulated dome was optimizated under different span and rise span ratio.Based on six typical double primary ribs reticulated dome shape optimization results, the rules of steel consumption of six kinds structural with the number of hoop symmetry areas anc the radial node cycles and span ratio was analysed; the rules of steel consumption with the variation in span ratio in the same span and double primary ribs thicknes, different shell types was analysed. The optimizing results show that:steel consumption of six typical double primary ribs reticulated dome is minimum when rise span ratio equal to the 1/4 or 1/5 in large span (span 90m to 120m); steel consumption of ribbed, kiewitt, three way grid and geodesic typical double primary ribs reticulated dome is smaller in small span (span 30m to 50m); stee(?) consumption of Kiewitt and geodesic typical double primary ribs reticulated dome is smalle(?) in the large span (span 60m to 120m). The results has significance to structural engineering design of the reticulated shell.