单摆摆锤偏心引起的测量误差分析

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．

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

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.