The Measurement Error Caused by the Eccentric Weight of a Single Pendulum

Tang Mengxi; Wu Shuchao; Luo Jun

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The Measurement Error Caused by the Eccentric Weight of a Single Pendulum

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- The Measurement Error Caused by the Eccentric Weight of a Single Pendulum
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 35, Issue 5, Pages: 11-15(1996)
- 作者机构：
  
  1. 中山大学物理学系
  2. 华中理工大学物理学系
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：1996，
  
  Published Online：25 September 1996，
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Tang Mengxi, Wu Shuchao, Luo Jun. The Measurement Error Caused by the Eccentric Weight of a Single Pendulum. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 35(5):11-15(1996)
DOI：

Tang Mengxi, Wu Shuchao, Luo Jun. The Measurement Error Caused by the Eccentric Weight of a Single Pendulum. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 35(5):11-15(1996) DOI：

摘要

给出了偏心存在的情况下单摆的运动方程及其线性近似解，以及对测量精度和测量方法的影响．通过计算机数值计算，给出了典型参数下的单摆运动．结果表明，只要偏心量被控制在某一区域以外，单摆仍然以某一单一频率为主作振动，这时，偏心量导致的系统误差仍可控制在一定范围以内．

Abstract

It is impossible to avoid the appearance of the eccentricity of the weight for a single pendulum. The moving equations of an eccentric single pendulum

their linear approximate solution and effects on the precision and method of measurement are given. For a single pendulum with typical parameters

with the aid of computer

numerical solutions are shown.The results show that the pendulum can keep approximately in a harmonc motion with a single frequency

and the systematic error

caused by the eccentricty

can be controlled within a region

only if the eccentricity is out of a certain small region.

关键词

单摆偏心线性近似

Keywords

single pendulumeccentriclinear approximation

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