线接触弹流问题弹性变形方程的快速卷积算法

Fast Numerial Solution for Elastohydrodynamic Lubrication of Line Contact

根据数字信号系统的分析方法，提出了弹性体受力变形的信号系统模型，在时域和频域内对该系统加以描述。利用信号分析的快速傅里叶变换及其卷积性质，实现了线性接触弹性问题弹性变形方程的快速计算，其计算工作量为０（Ｎｌｏｇ２Ｎ）。通过对Ｈｅｒｔｚ压力分布的接触区弹性变形计算，表明弹性变形方程快速卷积算法的计算精度与现有算法相当，而计算时的存储空间开销则大大低于现有算法。因而，弹性变形方程的快速卷积算法在弹流计算中具有实用价值。

By making use of the analyzing method of digital signal system, the elastic deformation problem of elastic bodies for line contact is regarded as the transmiting process of digital signals, and an equivalent digital signal model of elastic deformation is set up. According to the model, the pressure and elastic deformation in the contact area are the input and output signals, which can be respectively described in time domain and frequency domain. Fast numerial solution for EHL of line contact is realized by...