扭秤系统的品质因数和振幅的关系研究

摘要

In the experiment of Newtonian gravitational constant with the time-of-swing method, the pendulum’s quality factor Q will affect the experiment accuracy. In the letter, the influence of pendulum’s amplitude on the quality factor is discussed using the speed damping model, and the calculation results show that the amplitude has no direct impact on the quality factor without considering the amplitude nonlinear. The change in value of the quality factor Q may be caused by the nonlinear effect of the amplitude in the experiment.%　　在周期法测万有引力常数的实验中，扭秤系统的品质因数Q会影响实验精度。采用速度阻尼模型，讨论了扭秤振幅对系统品质因数的影响。结果表明，在不考虑振幅非线性的情况下，振幅对品质因数并没有直接的影响，实验中Q值的变化可能是由振幅的非线性效应引起的。