Research of Gray Model Applied in the Prior Corrosion and Fatigue of Aluminum Alloys
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摘要: 利用等间隔和非等间隔GM(1,1)模型,拟合并建立了模拟加速预腐蚀后铝合金的腐蚀失重、最大孔蚀深度及疲劳强度额定值与腐蚀时间的非线性关系.结果表明:与常用的幂函数模型相比,用GM(1,1)模型能较好地反映铝合金腐蚀过程的变化趋势及其对疲劳性能的影响;无论等间隔还是非等间隔数据,GM(1,1)模型都能较好地描述,并可通过残差修正模型来提高GM(1,1)模型的精度.Abstract: The effect of corrosion temperature and time on properties of the prior-corroded aluminum alloys was discussed tentatively, and gray model was introduced in the research of the simulating accelerated corrosion test for aluminum alloys. The non-linear relationship between mass loss,maximum corrosion depth,detail fatigue rating(DFR) and corrosion time was established based on power function,constant interval gray model as well as variable interval gray model. The results indicate that gray model can be employed to predict the underlying corrosion trend and fatigue properties precisely,compared with power model.Whether constant interval or variable interval data,gray model can describe successfully,and the accuracy of the gray model can also be improved by setting up modified residuals model.
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Key words:
- gray systems /
- fatigue /
- aluminium alloys /
- prior corrosion
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[1] 邓聚龙.灰色预测与决策[M].武汉:华中理工大学出版社,1988. [2] 程基伟.高强铝合金的加速腐蚀方法及数学模型研究 .北京:北京航空航天大学材料科学与工程系,1997.
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