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中文核心期刊

谐振管谐振频率计算方法的研究

Study on computing of resonance frequency of resonance pipes

  • 摘要: 为了准确地计算声谐振管的谐振频率,提出了基于对管内声压分布进行理论模拟的声压模拟法,以及基于驻波最小点位置与管两端声阻抗关系的驻波最小点法。结果表明这两种方法因为考虑了声谐振管两端的声阻对谐振频率的影响,所得谐振频率更加精确、严格,所以特别适用于要求谐振管的谐振频率严格控制的声学领域。同时表明:声压模拟法与驻波最小点法虽然出发点不同,但谐振频率的计算结果完全相同。驻波最小点法计算比较方便,而声压模拟法在计算出谐振频率的同时,还可以给出管中的声压随位置的分布情况。

     

    Abstract: For more precisely calculating the resonance frequency of practical resonance pipes, two methods were presented, which are the method of sound pressure simulation and the method of the minimum point of standing wave. Both methods are based on the theoretical simulation of the sound pressure distribution in the pipe and the relation between the minimum point position of the standing wave and the acoustic impedance of the pipe ends, respectively. It is demonstrated that the two methods can calculate the resonance frequency of a pipe more precisely and rigorously by considering the effect of the acoustic damping of both ends of the pipe. Therefore the two methods presented are more useful in several acoustic research fields in which the resonance frequency of a pipe must be controlled strictly. It is also demonstrated that the method of sound pressure simulation and the method of the minimum point of standing wave can get the same calculation result despite of their different ways. The method of the minimum point of standing wave is more convenient, nevertheless both the resonance frequency and the distribution of the sound pressure in the pipe can be obtained by using the method of sound pressure simulation.

     

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