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A platform for research: civil engineering, architecture and urbanism
Prestress analysis and geometry optimization for conical cable domes with zero Gaussian curvature
https://orcid.org/0000-0002-8778-0999
Highlights This paper studies the overall topology and the arrangements of the cables and struts for the conical cable dome in detailed. This paper gives a simplified method for calculating feasible prestress of the components. This paper introduces prestress and energy uniformity index to evaluate the structural mechanical properties. The single-criterion and multi-criterion optimization based on the genetic algorithm is used to enhance the uniformity of the feasible prestress and the load-bearing capacity.
Abstract The conical cable dome with a rotating cone and zero Gaussian curvature is a new type of cable dome with the generatrix that follows a straight line. The paper studies the prestress design and mechanical properties of such cable domes. First, on the basis of the section and vertical diagrams of the proposed cone, a simplified method is developed to calculate feasible prestresses of cables and struts using the principle of nodal balance. Second, prestress distribution, load-bearing capacity, and prestress of the conical cable domes with 15 different combinations of rise-span ratio and inner triangular slope under both prestress and load states are studied. Additionally, the paper proposes five load conditions to assess the performance of the conical cable domes. Finally, the total strain energy, basic frequency, radial reaction, and gravity are optimized through single-criterion and multi-criterion based on the combination of a genetic algorithm and the Newton iteration method. To keep the outer appearance of the conical cable dome, the work selects the strut length as the optimization variable. An optimized conical cable dome is recommended with a low prestress uniformity index and high uniformity index. The results indicate that the conical cable dome is sensitive to the asymmetrical loads, especially the wind loads. For the single-criterion optimization, the structure with the basic frequency under loads as the objective function has the best load-bearing capacity. After optimization, the maximum nodal displacement is 32% and 43% of the original one under LC4 and LC5. Besides, to get a synthetic optimization result, a multi-criterion optimization is suggested.
Prestress analysis and geometry optimization for conical cable domes with zero Gaussian curvature
https://orcid.org/0000-0002-8778-0999
Highlights This paper studies the overall topology and the arrangements of the cables and struts for the conical cable dome in detailed. This paper gives a simplified method for calculating feasible prestress of the components. This paper introduces prestress and energy uniformity index to evaluate the structural mechanical properties. The single-criterion and multi-criterion optimization based on the genetic algorithm is used to enhance the uniformity of the feasible prestress and the load-bearing capacity.
Abstract The conical cable dome with a rotating cone and zero Gaussian curvature is a new type of cable dome with the generatrix that follows a straight line. The paper studies the prestress design and mechanical properties of such cable domes. First, on the basis of the section and vertical diagrams of the proposed cone, a simplified method is developed to calculate feasible prestresses of cables and struts using the principle of nodal balance. Second, prestress distribution, load-bearing capacity, and prestress of the conical cable domes with 15 different combinations of rise-span ratio and inner triangular slope under both prestress and load states are studied. Additionally, the paper proposes five load conditions to assess the performance of the conical cable domes. Finally, the total strain energy, basic frequency, radial reaction, and gravity are optimized through single-criterion and multi-criterion based on the combination of a genetic algorithm and the Newton iteration method. To keep the outer appearance of the conical cable dome, the work selects the strut length as the optimization variable. An optimized conical cable dome is recommended with a low prestress uniformity index and high uniformity index. The results indicate that the conical cable dome is sensitive to the asymmetrical loads, especially the wind loads. For the single-criterion optimization, the structure with the basic frequency under loads as the objective function has the best load-bearing capacity. After optimization, the maximum nodal displacement is 32% and 43% of the original one under LC4 and LC5. Besides, to get a synthetic optimization result, a multi-criterion optimization is suggested.
Prestress analysis and geometry optimization for conical cable domes with zero Gaussian curvature
https://orcid.org/0000-0002-8778-0999
Highlights This paper studies the overall topology and the arrangements of the cables and struts for the conical cable dome in detailed. This paper gives a simplified method for calculating feasible prestress of the components. This paper introduces prestress and energy uniformity index to evaluate the structural mechanical properties. The single-criterion and multi-criterion optimization based on the genetic algorithm is used to enhance the uniformity of the feasible prestress and the load-bearing capacity.
Abstract The conical cable dome with a rotating cone and zero Gaussian curvature is a new type of cable dome with the generatrix that follows a straight line. The paper studies the prestress design and mechanical properties of such cable domes. First, on the basis of the section and vertical diagrams of the proposed cone, a simplified method is developed to calculate feasible prestresses of cables and struts using the principle of nodal balance. Second, prestress distribution, load-bearing capacity, and prestress of the conical cable domes with 15 different combinations of rise-span ratio and inner triangular slope under both prestress and load states are studied. Additionally, the paper proposes five load conditions to assess the performance of the conical cable domes. Finally, the total strain energy, basic frequency, radial reaction, and gravity are optimized through single-criterion and multi-criterion based on the combination of a genetic algorithm and the Newton iteration method. To keep the outer appearance of the conical cable dome, the work selects the strut length as the optimization variable. An optimized conical cable dome is recommended with a low prestress uniformity index and high uniformity index. The results indicate that the conical cable dome is sensitive to the asymmetrical loads, especially the wind loads. For the single-criterion optimization, the structure with the basic frequency under loads as the objective function has the best load-bearing capacity. After optimization, the maximum nodal displacement is 32% and 43% of the original one under LC4 and LC5. Besides, to get a synthetic optimization result, a multi-criterion optimization is suggested.
Prestress analysis and geometry optimization for conical cable domes with zero Gaussian curvature
He, Yutao (author) / Guo, Jiamin (author) / Zhao, Yu (author) / Zhu, Mingliang (author) / Jiang, Zhiyu (author)
Thin-Walled Structures ; 196
2023-12-31
Article (Journal)
Electronic Resource
English
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