This study quantitatively derives a principle for super-high-accuracy angular indexing using an index table formulation, and verifies it in a mathematical simulation. An index table is a rotary table installed on a machine tool. Its main function is to fix the angle position of the rotational shaft. The angle position is measured by a rotary encoder built into the rotary table. The rotary encoder is required to measure the angle with high accuracy. In previous studies, the performance of the rotary encoder has been improved by two methods: direct reduction of the angle error factors, and self-calibration. The angle accuracy in these methods varies from 0.1 to 0.4 arcsecs during one rotation. Instead, the National Institute of Advanced Industrial Science and Technology (NMIJ/AIST) in Japan has developed an angular indexing device with super high accuracy, which measures the static angle position to 0.01 arcsecs. Although the principle of super-accurate angular indexing has been q...

中文翻译：

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超高精度角度索引表

本研究使用分度表公式定量地得出了超高精度角度分度的原理，并在数学模拟中对其进行了验证。分度台是安装在机床上的旋转台。它的主要功能是固定旋转轴的角度位置。角度位置由内置在转台上的旋转编码器测量。需要旋转编码器以高精度测量角度。在以前的研究中，旋转编码器的性能通过两种方法得到了改进：直接减少角度误差因子和自校准。在这些方法中，旋转一圈的角度精度在0.1至0.4弧秒之间变化。代替，日本国立先进工业科学技术研究院（NMIJ / AIST）开发了一种超高精度的角度分度装置，该装置可将静态角度位置测量到0.01弧秒。尽管超精确的角度分度的原理已经问世了...