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<p>This study presents a comprehensive optimization framework for six-bar tensegrity deployable antennas, integrating five key geometric parameters: torsion angle, cable diameter, structural height, drop-to-span ratio, and focal length. A bi-objective optimization approach minimizes prestress non-uniformity and surface error, addressing the critical trade-offs between structural stability and electromagnetic performance. The framework employs advanced multi-objective algorithms (NSGA-II, NSGA-III, and SPEA2), with NSGA-III demonstrating superior performance in handling high-dimensional parameter spaces. Finite element analysis validates the optimal configuration, achieving balanced performance metrics: uniform prestress distribution and high surface accuracy. The optimal parameters derived from the optimization are a torsion angle of 41.53<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(^\circ ,\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mmultiscripts> <mrow /> <mrow /> <mo>∘</mo> </mmultiscripts> <mo>,</mo> </mrow> </math></EquationSource> </InlineEquation> cable diameter of 3&#xa0;mm, structural height of 0.59 m, drop-to-span ratio of 0.17, and focal length of 0.3 m. The results highlight the efficacy of concurrent geometric and mechanical optimization in aerospace antenna design, providing a benchmark for deployable tensegrity structures. This work advances the field by systematically resolving coupled parameter interactions, offering a robust methodology for precision antenna systems.</p>

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Intelligent form-finding and optimization of six-bar tensegrity deployable antennas for enhanced prestress distribution and surface accuracy

  • 期刊论文

  • 发表日期：

    2026年5月8日

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  • Ruiwei Liu,
  • Haoyu Yang,
  • Weiming Li,
  • Hongwei Guo,
  • Jingwen Chen,
  • Feng Ke,
  • Manjia Su

摘要

This study presents a comprehensive optimization framework for six-bar tensegrity deployable antennas, integrating five key geometric parameters: torsion angle, cable diameter, structural height, drop-to-span ratio, and focal length. A bi-objective optimization approach minimizes prestress non-uniformity and surface error, addressing the critical trade-offs between structural stability and electromagnetic performance. The framework employs advanced multi-objective algorithms (NSGA-II, NSGA-III, and SPEA2), with NSGA-III demonstrating superior performance in handling high-dimensional parameter spaces. Finite element analysis validates the optimal configuration, achieving balanced performance metrics: uniform prestress distribution and high surface accuracy. The optimal parameters derived from the optimization are a torsion angle of 41.53 \(^\circ ,\) ∘ , cable diameter of 3 mm, structural height of 0.59 m, drop-to-span ratio of 0.17, and focal length of 0.3 m. The results highlight the efficacy of concurrent geometric and mechanical optimization in aerospace antenna design, providing a benchmark for deployable tensegrity structures. This work advances the field by systematically resolving coupled parameter interactions, offering a robust methodology for precision antenna systems.