THIRD-ORDER LOCAL CONTACT AND APPLICATION IN 5-AXIS MACHINING OF SCULPTURED SURFACES
THIRD-ORDER LOCAL CONTACT AND APPLICATION IN 5-AXIS MACHINING OF SCULPTURED SURFACES
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DOI：
10.3901/cjme.2006.02.265
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
Liu;Guran
中科院分区：
文献类型：
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作者：
Liu;Guran
为了提高复杂曲面的加工效率，将微分几何中的接触原理应用于复杂曲面的五坐标数控加工中，研究了刀具与复杂曲面的最佳接触条件。通过分析，得到了刀具与曲面相贯线的接触程度。与以往的研究相比，该理论的限制和精度更高，超越了二阶参数到三阶，既适合解析几何的主曲面，也适合计算几何的计算机生成曲面。该方法计算步骤明确，方程组易于求解。其思想过程十分清晰：首先，假设存在一个三阶曲面，曲面的系数是任意的，然后求出圆的最佳姿态，使圆与曲面在原点处接触最紧密;最后，把表面变成第三层在加工的每一点上对曲面进行排序，并利用上述结果寻找加工的每一点上的最佳刀位。因此，方程组易于求解，概念清晰。
In order to increase the efficiency in the machining of the sculptured surfaces, the contact principle of differential geometry is applied to the 5-axis NC machining; The best contact condition between tool and the surfaces is researched. Through analysis the contact degree of the intersection line of the cutter and the surfaces is known. In comparison to previous studies, the theory is more restricted and accurate by going beyond the second-order parameters into the third-order, suiting both the primary surfaces of analytical geometry and the computer-generated surfaces of the computation geometry. It has definite procedure of calculation, and the equations are easy to solve. The thought process is very clear: First, suppose that there is a surface of third-order, the coefficients of which are arbitrary; Then find out the best posture of the circle in order that the circle and the surface will most closely contact with each other at the origin position; Finally, develop the surface into a third-order surface at every point of machining and employ the results mentioned above to find the best cutter posture at every point of machining. As a result, the equations are easy to solve, and the concept is clear.