煤堆体积检测仪精度分析

Precision Analyses of the Instrument for Volume Measurement of Coal Heap

本文根据光学三角原理,导出鉴别误差解析表达式,并对不同高度梯形截面煤堆鉴别误差进行计算;根据重积分梯形公式的余式和中心极限定理.导出总体各截断误差密度分布函数服从正态分布;最后给出对不同情况下估计误差的结论意见。

On the basis of optical triangulation theory,the analytical formulas of discernment error are derived,and the discernment error for trapezoid cross-section of coal heap with different height are calculated. According to the residue of formulas for double trapezoid integral and central limit theorem, the distribution function which are in accord with Gauss for discernment errors of total volumes are derived. Finally, some conclusions about error estimating for a series of cases are presented