High fidelity adaptive mirror simulations with reduced order models.

IF 1.7 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Journal of Mathematics in Industry Pub Date : 2024-01-01 Epub Date: 2024-09-06 DOI:10.1186/s13362-024-00158-5
Bernadett Stadler, Roberto Biasi, Mauro Manetti, Andreas Obereder, Ronny Ramlau, Matteo Tintori
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Abstract

In the design process of large adaptive mirrors numerical simulations represent the first step to evaluate the system design compliance in terms of performance, stability and robustness. For the next generation of Extremely Large Telescopes increased system dimensions and bandwidths lead to the need of modeling not only the deformable mirror alone, but also all the system supporting structure or even the full telescope. The capability to perform the simulations with an acceptable amount of time and computational resources is highly dependent on finding appropriate methods to reduce the size of the resulting dynamic models. In this paper we present a framework developed together with the company Microgate to create a reduced order structural model of a large adaptive mirror as a preprocessing step to the control system simulations. The reduced dynamic model is then combined with the remaining system components allowing to simulate the full adaptive mirror in a computationally efficient way. We analyze the feasibility of our reduced models for Microgate's prototype of the adaptive mirror of the Giant Magellan Telescope.

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利用减阶模型进行高保真自适应反射镜模拟。
在大型自适应反射镜的设计过程中,数值模拟是评估系统在性能、稳定性和鲁棒性方面是否符合设计要求的第一步。对于下一代超大望远镜,系统尺寸和带宽的增加导致不仅需要对可变形反射镜单独建模,还需要对所有系统支撑结构甚至整个望远镜建模。能否在可接受的时间和计算资源范围内进行模拟,在很大程度上取决于能否找到合适的方法来缩小动态模型的尺寸。在本文中,我们介绍了一个与 Microgate 公司共同开发的框架,用于创建大型自适应反射镜的缩小结构模型,作为控制系统模拟的预处理步骤。然后,将简化的动态模型与其余系统组件相结合,就能以计算效率高的方式模拟完整的自适应反射镜。我们分析了微门公司的巨型麦哲伦望远镜自适应反射镜原型缩小模型的可行性。
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来源期刊
Journal of Mathematics in Industry
Journal of Mathematics in Industry MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
CiteScore
5.00
自引率
0.00%
发文量
12
审稿时长
13 weeks
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