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螺纹中径的跨线测量(三针测量)一直是计量工作者所关注的问题,因为我们通常采用的测量公式完全基于近似法,当它运用于多头螺纹时,其产生的误差是不能允许的。美国物理学家Werner F.Vogel教授在他的著作中,首先从渐开线螺纹入手,采用了“替换圆盘法”,简化了几何概念,求出了量球与被测量螺纹表面接触点真实位置的极简单方程。通过适当转换,求出了适用于任意特性的对称圆柱螺纹的精确方程。本文根据这一理论进一步推导出不对称螺纹(锯齿形螺纹)的精确跨线测量公式。
Cross-line measurement of thread diameter (three-pin measurement) has always been a concern for metrologists because the measurement formula we usually use is based entirely on approximation, and when it is applied to a multi-head thread, the resulting error can not be tolerated . American physicist Professor Werner F. Vogel in his book, first from the involute thread, the use of the “replacement disc method” to simplify the concept of geometry, measured the measured surface of the screw thread and the true point of contact Very simple equation of position. Through proper conversion, the exact equation of a symmetrical cylindrical thread suitable for any characteristic is obtained. Based on this theory, this article further deduces the exact measurement formula of asymmetric thread (serrated thread).