Abstract Cold rollings for Al5182 aluminum alloy strips are carried out to evaluate the optical parameters with the applications of two lubricants and various operating conditions. In order to obtain these optical parameters, the fractal parameters which includes periodic lengths ( L x , L y ) and fractal dimensions ( D x , D y ) in the modified three-dimensional formula for the fractal surface morphology have been solved first for the rolled surfaces. This three-dimensional formula can provide an effective way to correlate these fractal parameters with the optical parameters using TracePro software, which can help to define rolling conditions efficiently for the specific demand of optical properties. The deterministic results for fractal surface simulations using MATLAB in series and 20° incident angle simulation in TracePro software explain that an increase in D x and D y will yield dense profiles which elevates the maximum illuminance and lower down the minimum illuminance. While an increment in L x and L y would increase the characteristic distance between two predominant asperities and increase minimum illuminance and decrease maximum illuminance. Finite element analyses prove that different friction coefficients in the upper and lower rolls potentially induce surface deflection and thus affect the optical properties. A high illuminance uniformity can be achieved by making a compromise among the fractal parameters ( D x , D y , L x and L y ) such that a small difference in the maximum and minimum illuminances is available.

中文翻译：

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分形参数对具有诱导表面挠度的冷轧铝合金带材光学性能的影响：模拟和实验相关性

摘要 对Al5182铝合金带材进行冷轧，以评估两种润滑剂的应用和各种操作条件下的光学参数。为了获得这些光学参数，首先求解了分形表面形貌的修正三维公式中包括周期长度（Lx，Ly）和分形维数（Dx，Dy）的分形参数。轧制表面。这个三维公式可以提供一种使用 TracePro 软件将这些分形参数与光学参数相关联的有效方法，有助于有效地定义轧制条件，以满足光学特性的特定需求。使用 MATLAB 串联的分形表面模拟和 TracePro 软件中的 20° 入射角模拟的确定性结果说明，D x 和 D y 的增加将产生密集的轮廓，从而提高最大照度并降低最小照度。而 L x 和 L y 的增加会增加两个主要凹凸之间的特征距离，并增加最小照度并降低最大照度。有限元分析证明，上辊和下辊中不同的摩擦系数可能会导致表面偏转，从而影响光学性能。通过在分形参数（D x 、D y 、L x 和 L y ）之间进行折衷，使得最大和最小照度之间的差异很小，可以实现高照度均匀性。