用低音吉他教授傅里叶分析和波动物理
Teaching Fourier Analysis and Wave Physics with the Bass Guitar
摘要：
本文介绍了一种实验室或演示技术，采用低音吉他和游标LabPro（或PC声卡）的波物理教学和介绍傅立叶分析。开弦的傅里叶变换提供了一个振荡模式的示范，达到了20次谐波，与包含基频和谐波的预期一致。“谐波”的演奏（通过轻轻触摸弦来抑制共振模式，以在所需位置处强制节点）演示了由（大部分）单个模式组成的振荡。学生们可以看到，在开弦上出现的傅立叶分量（基波和谐波）的完整集合可以明确地与单个谐振频率相联系，如典型教科书中关于弦上波的固有频率的讨论所述。使用低音吉他而不是六弦电吉他可以单独激发更高的谐波，而且学生自己也更容易演奏谐波。
英文摘要：
This article describes a laboratory or demonstration technique employing the bass guitar and a Vernier LabPro (or a PC soundcard) for teaching wave physics and introducing Fourier analysis. The Fourier transform of an open string provides a demonstration of oscillatory modes out to the 20th harmonic consistent with expectations containing a fundamental frequency and harmonics. The playing of "harmonics" (suppressing resonant modes by lightly touching the string to enforce nodes at desired locations) demonstrates oscillations made up (mostly) of individual modes. Students see that the complete set of Fourier components (fundamental and harmonics) present on the open string can be explicitly connected with individual resonant frequencies as described in typical textbook discussions of natural frequencies of waves on a string. The use of a bass guitar rather than the six string electric guitar allows higher harmonics to be individually excited, and it is also easier for students to play the harmonics themselves.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
