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大振幅驻波的实验研究——Ⅰ:二次谐波的特性

Experimental investigation on finite-amplitude standing waves: Ⅰ. the properties of second harmonic

  • 摘要: 本文对一维大振幅驻波场进行了较为全面的实验研究,介绍了实验研究系统,着重讨论二次谐波的特性、实验研究结果表明:二次谐波的量值在基波产压级为定值的条件下是驱动频率的函数.其变化曲线可用一简谐函数近似描述之。大振幅驻波场在频域内可划分为四个区域。在称之为"稳定区"内,其二次谐波最小值可用马大猷教授所提出的"大振幅驻波理论"求得。理论与实验符合良好。用更进一步发展的理8,能定性地对二次谐波的变化趋势作出圆满解释。

     

    Abstract: Experimental investigations on onedimensional finite-amplitude standing wave field are carried out comprehensively. The system of experiment is introduced. Emphases are placed on the discussion of second harmonic properties. Experimental results show that:the magnitude of second harmonic is a function of driving frequency at a constant fundamental frequency sound pressure level (Lp1). The curve of second harmonic sound pressure level (Lp2) can be approximately described by a harmonic function. The standing wave field in the closed tube can be divided into four regions in the frequency domain. In what is called "steady region", the theories proposed by Prof. MAA Dab-You predict the magnitude of second harmonic satisfactorily. The theory agrees well with experimental results. The trend of Lp2 can be explained qualitatively by further theories8.

     

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