Mrówczyński Damian, Garbowski Tomasz
Doctoral School, Department of Biosystems Engineering, Poznan University of Life Sciences, Wojska Polskiego 28, 60-637 Poznań, Poland.
Department of Biosystems Engineering, Poznan University of Life Sciences, Wojska Polskiego 50, 60-627 Poznań, Poland.
Materials (Basel). 2023 Feb 2;16(3):1295. doi: 10.3390/ma16031295.
There are many possible sources of potential geometrical inaccuracies in each layer of corrugated board during its manufacture. These include, among others, the processes of wetting the corrugated layers during profiling, the process of accelerated drying, the gluing process, and any mechanical impact of the pressure rollers on the cardboard. Work taking into account all the above effects in numerical modeling is not well described in the literature. Therefore, this article presents a simple and practical procedure that allows us to easily account for geometric imperfections in the calculation of the effective stiffness of corrugated board. As a main tool, the numerical homogenization based on the finite element method (FE) was used here. In the proposed procedure, a 3D model of a representative volumetric element (RVE) of a corrugated board is first built. The numerical model can include all kinds of geometrical imperfections and is used to calculate the equivalent tensile and bending stiffnesses. These imperfections were included in the 3D numerical model by appropriate modeling of individual layers, taking into account their distorted shape, which was obtained on the basis of a priori buckling analysis. This paper analyzes different types of buckling in order to find the most representative one. The proposed procedure is easy to implement and fully scalable.
在瓦楞纸板制造过程中的每一层，都存在许多可能导致潜在几何误差的来源。其中包括，在压型过程中对瓦楞层进行润湿的过程、加速干燥过程、胶合过程以及压力辊对纸板的任何机械冲击。在数值模拟中考虑上述所有影响的相关研究在文献中并未得到充分描述。因此，本文提出了一种简单实用的方法，使我们能够在计算瓦楞纸板有效刚度时轻松考虑几何缺陷。这里主要使用基于有限元法（FE）的数值均匀化方法。在所提出的方法中，首先构建瓦楞纸板代表性体积单元（RVE）的三维模型。该数值模型可以包含各种几何缺陷，并用于计算等效拉伸和弯曲刚度。通过对各层进行适当建模，将这些缺陷纳入三维数值模型，同时考虑到基于先验屈曲分析得到的变形形状。本文分析了不同类型的屈曲，以找出最具代表性的一种。所提出的方法易于实施且具有完全可扩展性。
