新一代产品几何技术规范标准中齿轮非理想表面建模研究

Modeling on skin model of gears in new-generation geometrical product specification

公差规范贯穿于几何产品的整个生命周期,为了解决现行的计算机辅助公差工具无法从物理几何角度实现对于产品制造误差的真实表达,提出1种普适性的公差建模方法,能够在几何产品最初的设计阶段便对产品制造、检测过程中的几何变化量予以考虑。以新一代产品几何技术规范(GPS)为基础,将小波分析和功率谱密度分析等信号处理技术运用到产品表面形貌分析中,研究出1种能够反映产品三维表面及其二维轮廓的宏观及微观多尺度形貌误差成分的非理想表面模型表征方法,并应用于具有齿廓误差的圆柱齿轮模型上,实现其在通用商业CAD软件中的显示,以解决产品在设计、制造、检验过程中公差规范表达难以统一的难题,为产品几何变化量的有效控制提供了1种可行、可靠的新方法。

Tolerance specification runs through the whole life circle of geometric product design.In order to solve the problem that current commercial CAT tools are unable to realistically reflect manufacturing errors in physical geometry aspects,a universal tolerance modeling method is proposed,which considers the geometric variation during manufacturing and testing in the early design period of geometrical products.Based on the new generation geometrical product specification(GPS)standard,the signal processing techniques such as wavelet analysis and power spectrum density(PSD)analysis are applied in surface morphology analyses of the products.And a skin model characterization method which can reflect the three-dimensional surfaces and their two-dimensional profiles of the products in both macroscopic and microscopic scales is studied.This method is then used in cylindrical gear model with tooth profile tolerance,realizing its display in commercialized CAD software.The tolerance specification defined in the design level to manufacturing and inspection stages could be transferred efficiently by these models,which provide a feasible and reliable new method for effectively controlling geometrical variations in the context of GPS framework.