论文标题
关于调谐叉的非线性
On the nonlinearity of a tuning fork
论文作者
论文摘要
在本科级别进行调谐叉实验通常仅显示调谐叉的线性共振。在本文中，我们引入了一个实验，该实验可用于测量常规调节叉的非线性调谐曲线。使用双颗粒多普勒干涉法，我们在十微米内实现了测量精度。通过此实验设置，我们观察到调谐叉的典型非线性行为，例如软化调谐曲线和跳跃现象。我们的实验廉价且易于操作。它为中级学生提供了一个综合实验，并为高级研究项目提供了基础。
Tuning fork experiments at the undergraduate level usually only demonstrate a tuning fork's linear resonance. In this paper, we introduce an experiment that can be used to measure the nonlinear tuning curve of a regular tuning fork. Using double-grating Doppler interferometry, we achieve measurement accuracy within ten microns. With this experiment setup, we observe typical nonlinear behaviors of the tuning fork such as the softening tuning curve and jump phenomena. Our experiment is inexpensive and easy to operate. It provides an integrated experiment for intermediate-level students and a basis for senior research projects.
