Tensegrity domes are reticulated prestressed structures composed of bars in compression and cables in tension. These structures are flexible lightweight systems with low structural damping, and thus, they are sensitive to vibrations induced by strong wind and earthquakes. The present work deals with the robust multimodal control of a large-scale tensegrity dome of Geiger's type. Assuming random excitations and linear behavior of the structure around an equilibrium prestressed configuration, the control is achieved in the low-frequency range using multiple tuned mass dampers (MTMDs). The optimal MTMD parameters, ensuring optimal performances, are obtained using a root mean square displacement (RMSD)-based approach. The optimization strategy is firstly applied, in a deterministic context where the structural parameters uncertainties are not included, to control the fundamental resonant frequency of the dome structure and then extended to perform multimodal control using multiobjective optimization. In addition, in real-life situations, it's very hard to describe actual engineering structures in precise model yielding to unavoidable internal and external uncertainties. To deal with these uncertainties, it has been shown that the proposed multimodal control is also able to carry out robust control in presence of structural uncertainties. The proposed optimization strategy applied to the dome structure is compared to other optimization strategies, from the open literature. The obtained results showed the efficiency of the proposed methodology of the passive control in both contexts, that is, the deterministic and the non-deterministic where uncertainties are considered.

中文翻译：

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使用多个调谐质量阻尼器对大型张拉整体穹顶进行鲁棒多模态控制

张拉整体穹顶是由受压钢筋和受拉索组成的网状预应力结构。这些结构是具有低结构阻尼的柔性轻型系统，因此，它们对强风和地震引起的振动很敏感。目前的工作涉及盖革类型的大型张拉整体圆顶的鲁棒多模态控制。假设在平衡预应力配置周围结构的随机激励和线性行为，使用多调谐质量阻尼器 (MTMD) 在低频范围内实现控制。确保最佳性能的最佳 MTMD 参数是使用基于均方根位移 (RMSD) 的方法获得的。首先应用优化策略，在不包括结构参数不确定性的确定性环境中，控制穹顶结构的基本谐振频率，然后使用多目标优化扩展到执行多模态控制。此外，在现实生活中，由于不可避免的内部和外部不确定性，很难在精确的模型中描述实际工程结构。为了处理这些不确定性，已经表明所提出的多模态控制也能够在存在结构不确定性的情况下进行鲁棒控制。将所提出的应用于圆顶结构的优化策略与其他优化策略进行了比较，来自公开文献。获得的结果显示了所提出的被动控制方法在两种情况下的效率，即，