Analysis of Three-Dimensional Cutting Process With Thin Shear Plane Model
Analysis of Three-Dimensional Cutting Process With Thin Shear Plane Model
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DOI：
10.1115/1.4024531
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发表时间：
2013-08
影响因子：
4
通讯作者：
E. Shamoto;Masahiro Kato;N. Suzuki;R. Hino
中科院分区：
文献类型：
--
作者：
E. Shamoto;Masahiro Kato;N. Suzuki;R. Hino
根据最大剪应力原理和最小能量原理，提出了一种新的基本的三维切削分析模型。为了便于理解和快速模拟，本文用简单的矢量方程描述了平面前刀面任意形状切削刃的三维切削过程。对切削刃和工件轮廓进行离散化处理，用它们的位置矢量表示。从速度和力的几何关系出发，导出了三个未知量之间的两个方程，分别表示剪切方向、切屑流方向和切削合力方向。求解三个未知向量所需的最后一个向量方程通过应用最大剪应力或最小能量原理获得。结果表明，通过求解该矢量方程得到的切削力方向和切削力与实验测量值吻合较好。此外，所开发的模型被应用于考虑三维切削力学，即，作为一个例子，在三维切割中切屑是如何形成的，其中压应力作用在离散切屑之间。
A new and basic analytical model of three-dimensional cutting is proposed by assuming multiple thin shear planes with either the maximum shear stress or minimum energy principle. The three-dimensional cutting process with an arbitrarily shaped cutting edge in a flat rake face is formulated with simple vector equations in order to understand and quickly simulate the process. The cutting edge and workpiece profile are discretized and expressed by their position vectors. Two equations among three unknown vectors, which show the directions of shear, chip flow, and resultant cutting force, are derived from the geometric relations of velocities and forces. The last vector equation required to solve the three unknown vectors is obtained by applying either the maximum shear stress or minimum energy principle. It is confirmed that the directions and the cutting forces simulated by solving the proposed vector equations agree with experimentally measured data. Furthermore, the developed model is applied to consider the three-dimensional cutting mechanics, i.e., how the chip is formed in the three-dimensional cutting with compressive stress acting between the discrete chips, as an example.