近似函数用于材料腐蚀的数学建模

Approximate Function Based Mathematical Modeling in Material Corrosion

将近似函数引进到材料腐蚀的数学建模中 ,根据腐蚀数据特点 ,提出分段建模概念 ,并分别与灰色GM( 1 ,1 )模型、动态数据双向差分模型和幂函数模型对比 .结果表明 ,这种近似函数模型的精度除普遍高于其它 3种模型外 ,还具有很强的适用性 ,在工程上具有一定的应用前景 .同时 ,由经验变换模型和该近似函数模型的数值处理推测认为 ,腐蚀过程中可能存在“腐蚀临界点” .

The approximate function was led to mathematical modeling in material corrosion. By the characteristic of corrosion data, the divisional mathematical modeling concept was proposed. And it was compared with three models, which were gray model, dynamic data & bi directional difference model and power function model respectively. The results told us that approximate function model owned not only strong adaptation but applied foreground in engineering as well, besides the highest accuracy over the other three models. From the models posed in this article, we suggested that 'critical point in material corrosion' should exist to some extent.