Euler’s instability criterion is widely used in engineering to design a column. However, this criterion is not suitable for judging the instability of a three-dimensional printing process because the axial motion of the printing jet has to be considered. A variational principle is established, and an equivalent Eulerian load is obtained. The theoretical results show that a higher printing velocity makes the moving jet much more stable, and an experiment is designed to verify our theoretical prediction.

中文翻译：

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3D打印过程中打印喷射的不稳定性

欧拉不稳定性准则在工程中广泛用于设计柱子。然而，该标准不适用于判断三维打印过程的不稳定性，因为必须考虑打印射流的轴向运动。建立变分原理，得到等效欧拉载荷。理论结果表明，更高的打印速度使移动的射流更加稳定，并设计了一个实验来验证我们的理论预测。