Mlýnek Jaroslav, Rahimian Koloor Seyed Saeid, Knobloch Roman
Department of Mathematics, Faculty of Science, Humanities and Education, Technical University of Liberec, Studentská 2, 461 17 Liberec, Czech Republic.
Composite Materials and Technical Mechanics, Institute of Aeronautical Engineering, Faculty of Mechanical Engineering, Universität der Bundeswehr München, Werner-Heisenberg-Weg 39, 85579 Neubiberg, Munich, Germany.
Polymers (Basel). 2023 Jul 28;15(15):3227. doi: 10.3390/polym15153227.
Frames made of polymer composites are increasingly used in the aerospace, automotive, and agricultural industries. A frequently used technology in the production line of composite frames is winding rovings onto a non-load-bearing frame to form the structure using an industrial robot and a winding head, which is solidified through a subsequent heat-treatment pressure process. In this technology, the most difficult procedure is the winding of the curved parts of a composite frame. The primary concern is to ensure the proper winding angles, minimize the gaps and overlaps, and ensure the homogeneity of the wound layers. In practice, the curved frame parts very often geometrically form sections of a torus. In this work, the difficulty of achieving a uniform winding of toroidal parts is described and quantified. It is shown that attaining the required winding quality depends significantly on the geometrical parameters of the torus in question. A mathematical model with a detailed procedure describing how to determine the number of rovings of a given width on toroidal parts is presented. The results of this work are illustrated with practical examples of today's industrial problems.
由聚合物复合材料制成的框架在航空航天、汽车和农业等行业中越来越常用。在复合材料框架的生产线中，一种常用技术是使用工业机器人和缠绕头将粗纱缠绕到非承重框架上以形成结构，随后通过热处理压力工艺使其固化。在这项技术中，最困难的工序是复合框架弯曲部分的缠绕。主要关注点在于确保合适的缠绕角度、最小化间隙和重叠，并确保缠绕层的均匀性。在实际中，弯曲的框架部件在几何形状上常常构成圆环面的部分。在这项工作中，描述并量化了实现环形部件均匀缠绕的难度。结果表明，达到所需的缠绕质量在很大程度上取决于所讨论圆环面的几何参数。提出了一个数学模型以及详细步骤，描述如何确定环形部件上给定宽度粗纱的数量。这项工作的结果通过当今工业问题的实际例子进行说明。
