Precision Analyses of the Instrument for Volume Measurement of Coal Heap

Li Jitian

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Precision Analyses of the Instrument for Volume Measurement of Coal Heap

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- Precision Analyses of the Instrument for Volume Measurement of Coal Heap
- Optics and Precision Engineering Vol. 1, Issue 6, Pages: 11-16(1993)
- 作者机构：
  
  中国科学院长春光学精密机械研究所长春,130022
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Received：22 October 1993，
  
  Published Online：15 December 1993，
  
  Published：15 December 1993
- 稿件说明：
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李集田. 煤堆体积检测仪精度分析[J]. 光学精密工程, 1993,(6): 11-16

Li Jitian. Precision Analyses of the Instrument for Volume Measurement of Coal Heap[J]. Editorial Office of Optics and Precision Engineering, 1993,(6): 11-16
李集田. 煤堆体积检测仪精度分析[J]. 光学精密工程, 1993,(6): 11-16 DOI：

Li Jitian. Precision Analyses of the Instrument for Volume Measurement of Coal Heap[J]. Editorial Office of Optics and Precision Engineering, 1993,(6): 11-16 DOI：

摘要

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。

Abstract

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

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