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大振幅驻波的实验研究Ⅱ:驻波场谐波的饱和

Experimental investigation on finite-amplitude standing waves: Ⅱ.saturation of harmonics in standing wave field

  • 摘要: 大振幅驻波在激波形成前的过程中,谐波声压级随基波声压级(Lp1)增长而出现饱和现象。在Lp1<153 dB时,m次谐波声压振幅pm与基波声压幅值p1;呈pm~p1m关系。基波升高1 dB,m次谐波升高m dB。之后,各次谐波均开始趋于饱和。次数越高,饱和越快,pm~p1m的关系逐渐变为pm~p1的趋向。在频率域内,变化过程大致可划分为三个区域:I.线性区;Ⅱ.变化区;Ⅲ.激波区。三个区域对应了时域的激波形成。Lp1>160dB后,即可认为激波已经形成。基波与电信号的关系也呈饱和现象,但与频率有关。上述结果有助于理论研究工作的进一步深入。

     

    Abstract: In the process of shock formation, it was found that the tendency to saturation exists for harmonics with the increasing of foundamental sound pressure level (Lp1).When Lp1 < 153 dB, the relation between the sound pressure amplitude of m-th harmonic pm and that of fundamental P1 is about pm~p1m.When the fundamental changes 1 dB,the m-th harmonic will increase m dB. The fundamental and all its harmonics start their transition toward saturation at about the same time during the increas of excitation.The relation of pm~p1m tends to pm~p1. The trend of saturation can be divided into three regions in frequency domain:Ⅰ.linear region; Ⅱ. alteration region, and Ⅲ. shock region. When Lp1 > 160 dB, the shock is formed. These results are useful for further theoretical work.

     

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