A study on analyzing the problem of the spherical form error
A study on analyzing the problem of the spherical form error
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DOI：
10.1016/s0141-6359(99)00035-5
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发表时间：
2000-04
影响因子：
3.6
通讯作者：
Cha’o-Kuang Chen;Liu Chien-Hong
中科院分区：
文献类型：
--
作者：
Cha’o-Kuang Chen;Liu Chien-Hong
多年来，人们研究了许多评定球面形状误差的方法。大多数方法，如最优化方法，都是采用局部近似解来获得所需的结果。本文通过直接求解联立线性代数方程组，建立了求解最小外切球、最大内接球和最小区域球的数学模型。通过算例验证了该模型的可接受性和可靠性。这些简单的数学方法被证明是有用的，以确定精确解。
Many methods to evaluate the form error of a sphere have been studied over the years. Most of these, such as the optimum methods, employed the approximate local solution to obtain the desired results. In this paper, three mathematical models are constructed to evaluate the solutions of the minimum circumscribed sphere, the maximum inscribed sphere, and the minimum zone sphere by directly resolving the simultaneous linear algebraic equations. Examples are given to verify that the model is admissible and reliable. These simple mathematical methods are verified to be useful for determining the exact solution.