论文标题
数字制造的参数识别:高斯过程学习方法
Parameter Identification for Digital Fabrication: A Gaussian Process Learning Approach
论文作者
论文摘要
张紧的电缆网可以用作有效构建轻质建筑元素的支撑结构,例如薄层混凝土壳结构。为了确保后者的重要机械性能,张紧电缆网的偏差与所需目标形式的偏差的公差非常紧。因此,需要在施工现场重新调整该表格。为了采用基于模型的优化技术,需要精确识别电缆网系统的重要不确定模型参数。本文提出使用高斯过程回归来学习将电缆网几何形状映射到不确定参数的函数。与先前提出的方法相反,此方法仅需要单个形式的测量来识别电缆网模型参数。这是有益的,因为建筑工地上有线网的测量非常昂贵。为了训练高斯过程,通过凸编程有效地计算了模拟数据。在数值实验中,在屋顶结构的四分之一尺度原型上证明了所提出的方法的有效性以及参数对参数对电缆网形式的影响。
Tensioned cable nets can be used as supporting structures for the efficient construction of lightweight building elements, such as thin concrete shell structures. To guarantee important mechanical properties of the latter, the tolerances on deviations of the tensioned cable net geometry from the desired target form are very tight. Therefore, the form needs to be readjusted on the construction site. In order to employ model-based optimization techniques, the precise identification of important uncertain model parameters of the cable net system is required. This paper proposes the use of Gaussian process regression to learn the function that maps the cable net geometry to the uncertain parameters. In contrast to previously proposed methods, this approach requires only a single form measurement for the identification of the cable net model parameters. This is beneficial since measurements of the cable net form on the construction site are very expensive. For the training of the Gaussian processes, simulated data is efficiently computed via convex programming. The effectiveness of the proposed method and the impact of the precise identification of the parameters on the form of the cable net are demonstrated in numerical experiments on a quarter-scale prototype of a roof structure.