朗芝万型谐振子的谐振频率,迄今尚未有比较精确的数学解。作为一级近似,它是按复合棒振子进行计算的。但当其半径和半厚度可以相比拟时,其实测谐振频率远远低于同厚度的复合棒振子的谐振频率。由于其数学模型的复杂性,在精确解未得到之前,仅能通过大量实验,来初步确立它们之间的关系。本文的结论以图表表达。 The resonance frequency of the Langmuir-type harmonic oscillator has not yet had a more accurate mathematical solution. As a first approximation, it is calculated as a composite rod vibrator. However, when its radius and half-thickness can be compared, the actual measured resonant frequency is much lower than the resonant frequency of the same thickness of the rod vibrator. Due to the complexity of their mathematical models, the relationship between them can be initially established only through a large number of experiments before the exact solution is obtained. The conclusion of this paper is expressed as a chart.