Study on Numerical Simulation of Size Shrinkage Behavior for Cylindrical Parts via FDM
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摘要: 针对筒形件在熔融沉积成型(fused deposition modeling, FDM)过程中产生的尺寸收缩问题,建立了筒形件成型过程的有限元模型,基于"生死单元技术"编写了成型过程的温度场、应力场仿真分析命令流,对筒形件熔融沉积成型过程进行了热力耦合数值模拟,探讨了3D打印及冷却过程中筒形件的尺寸收缩机理。结果表明,筒形件在径向的温度梯度分布很不均匀,且等效应力较大; 而轴向的温度梯度分布较为均匀,等效应力较径向小。径向和轴向温度梯度的差异导致筒形件在径向收缩大、轴向变形小。Abstract: In order to reveal the shrinkage mechanism of the cylindrical parts in the fused deposition modeling (FDM), the finite element model for the building process of the cylindrical part was established. Based on the "birth-death element technology", the command flow of temperature field and stress field was programmed, and the coupling thermo-mechanical numerical simulation in the building process of the cylindrical parts was carried out. The simulation results show that the radial temperature gradient distribution of the cylindrical parts is very uneven and the equivalent stress is high; while the axial temperature gradient distribution is relatively uniform, and the equivalent stress is lower than the radial one. The difference between the radial and the axial temperature gradients results in large radial shrinkage and small axial deformation in the cylindrical parts.
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表 1 筒形件尺寸理论值与实验值对比
名称 理论值/mm 实验值/mm 尺寸相对变化量/% 高度 3 2.99 0.33 内径 5 4.822 3.56 外径 9 8.883 1.3 表 2 PLA材料参数
温度/℃ 47.5 54.9 60.3 109.3 134.9 145.6 152.0 172.3 比热容/(J·(kg·K)-1) 1560 1700 1820 1900 2320 4360 2100 1980 密度/(kg·m-3) 1250 1250 1250 1250 1250 1250 1250 1250 导热系数/(W·(m·K)-1) 0.231 弹性模量/MPa 3500 泊松比 0.35 热膨胀系数/(K-1) 1.3 ×10-5 表 3 钢化玻璃底板材料热物理参数
比热容/(J·(kg·K)-1) 密度/(kg·m-3) 导热系数/(W·(m·K)-1) 弹性模量/MPa 泊松比 热膨胀系数/(K-1) 750 2 500 1.09 72 000 0.2 9×10-6 -
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