This paper presents a design method for novel tensegrity torus based on a bilevel optimization model. The novel tensegrity torus is assembled by a plurality of deformed three-rod prismatic tensegrity units, which can be uniquely determined by 5 geometric parameters. Taking the five parameters as optimization variable, the uniformity of both geometry and prestress as optimization objective, a bilevel optimization model is innovatively established. This model can integrate multiple optimization objectives and address nested optimization problems. Three numerical examples with different equal divisions are established and the optimization results indicate good effect of optimization model. Further parameter analysis of the bilevel optimization model demonstrates that reasonable constraints can enhance the optimization effect of the model. Compared to other equal divisions, the prestress of 18-division torus is the most uniform.

本文提出了一种基于双层优化模型的新型张拉整体环面设计方法。新型张拉整体环面由多个变形三杆棱柱张拉整体单元组装而成，可由5个几何参数唯一确定。以5个参数为优化变量，以几何形状和预应力的均匀性为优化目标，创新性地建立了双层优化模型。该模型可以集成多个优化目标并解决嵌套优化问题。建立了3个不同等分的数值算例，优化结果表明优化模型效果良好。对双层优化模型的进一步参数分析表明，合理的约束可以增强模型的优化效果。与其他等划分相比，18划分环面的预应力是最均匀的。