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熔模铸造蜡模注射成形过程中蜡料粘度的高精度建模OA

High-Precision Modeling of Wax Viscosity During Wax Pattern Injection Forming Process in Investment Casting

中文摘要英文摘要

航空航天钛合金结构件熔模精密铸造中,蜡模尺寸精度决定铸件质量,而数值模拟技术是优化蜡模注射成形的核心技术,其精度高度依赖蜡料粘度模型参数.蜡料为非牛顿流体,Cross-WLF模型可精准描述其粘度-剪切速率-温度关系,但Moldflow软件的数据库缺乏该模型参数,且传统建模方法存在缺陷,简单最小二乘法易陷局部极值,牛顿法计算复杂度高且数值不稳定.因此,以Kc-4017b蜡料为研究对象,提出融合自动微分与SVD正则化的拟牛顿法,用于粘度建模;通过环形阶梯蜡模充型过程数值模拟,结合实际注射成形进行试验验证.结果表明,拟牛顿法建模决定系数R2=0.989,显著高于最小二乘法(R2=0.901),且残差分布更均匀;其建模参数对应的Moldflow仿真结果与蓝光扫描实测数据位移趋势吻合度高,可精准确定蜡模变形关键区域.本研究解决了蜡料Cross-WLF模型高维非线性参数建模难题,为钛合金熔模铸造蜡模注射成形数值模拟提供了可靠参数支撑,为钛合金结构件熔模精密铸造过程提供了理论基础.

In the investment precision casting of aerospace titanium alloy structural components,the dimensional accuracy of wax patterns determines the quality of castings.Numerical simulation is a key technology for optimizing wax pattern injection processing,and its accuracy highly depends on the parameters of the wax viscosity model.As a non-Newtonian fluid,the viscosity-shear rate-temperature relationship of wax can be accurately described by the Cross-WLF model.However,the database of Moldflow software lacks parameters for this model,and traditional fitting methods exist defects:the simple least squares method is prone to falling into local optima,while the Newton's method has high computational complexity and numerical instability.Therefore,taking Kc-4017b wax as the research object,a quasi-Newton method integrating automatic differentiation and SVD regularization has been proposed for the viscosity modelling.The verification was carried out through numerical simulation of mold filling processes of annular stepped wax patterns combined with actual injection forming tests.The results show that the coefficient of determination(R2)of the quasi-Newton method for fitting is 0.989,which is significantly higher than that of the least squares method(R2=0.901),and the residual distribution is more uniform;the Moldflow simulation results corresponding to its fitted parameters have a high degree of consistency with the displacement trend of the measured data obtained via blue light scanning,enabling accurate identification of the key regions of wax pattern deformation.This study solved the difficult problem of high-dimensional nonlinear parameter fitting for the wax Cross-WLF model,and provided reliable parameter support for the numerical simulation of injection forming process of wax patterns in titanium alloy investment casting and a theoretical foundation for the investment precision casting processes of titanium alloy structural components.

杨其航;胡晓玉;马聚怀;王者;张美娟;郄喜望;南海;许庆彦;李言祥

清华大学材料学院,先进成形制造教育部重点实验室,北京 100084清华大学材料学院,先进成形制造教育部重点实验室,北京 100084清华大学材料学院,先进成形制造教育部重点实验室,北京 100084清华大学材料学院,先进成形制造教育部重点实验室,北京 100084中国航发北京航空材料研究院,北京 100095中国航发北京航空材料研究院,北京 100095中国航发北京航空材料研究院,北京 100095清华大学材料学院,先进成形制造教育部重点实验室,北京 100084清华大学材料学院,先进成形制造教育部重点实验室,北京 100084

矿业与冶金

熔模铸造蜡模注射成形Cross-WLF粘度模型数值模拟

investment castingwax pattern injection formingCross-WLF viscosity modelnumerical simulation

《铸造》 2026 (4)

343-351,9

10.27014/j.cnki.zhuzao.2026.0049

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