集中系モデルによる温度勾配のある音響管の解析

抄録

Noise countermeasures are an important engineering problem, and acoustic analysis methods for noise prediction and reduction have been widely studied. In general acoustic analysis, the temperature of the air is often assumed to be constant. However, the temperature gradient of the space may have a large effect on the sound pressure. For example, in a thermoacoustic engine, the sound is generated when the air vibrates due to the temperature gradient inside the pipe. Applying this effect may reduce noise by using the temperature distribution. Therefore, the purpose of this study is to formulate an acoustic space with a temperature gradient using a concentrated mass model. This model is consisted of the masses, springs and dampers. In addition, the relationship between temperature gradient and sound pressure is analyzed. In this paper, as a first step, a model using a linear spring is constructed, and the validity of the proposed model is confirmed by numerical calculation for a cylindrical pipe.