集中系モデルによる非線形圧力波の解析 : 第3報,急拡大・急縮小要素のモデル化(機械力学,計測,自動制御)

概要

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A pressure wave propagating in a tube often changes to a shock wave because of the nonlinear effect of the fluid it is traveling through. The purpose of this study is to establish a practical analytical model to analyze this phenomenon. In the first report, a concentrated mass model was proposed to analyze a nonlinear pressure wave phenomenon in a straight cylindrical tube. In this paper, the modeling of an enlargement and a contraction is proposed. The model at the enlargement and the contraction consists of masses, nonlinear pressure elements, base support dampers, and nonlinear dampers. The nonlinear damper is derived from pressure loss at the enlargement and the contraction. To confirm the validity of the proposed model, an experiment on a sound tube with an expansion-chamber muffler is performed and the experimental result is compared with the numerical result obtained by the concentrated mass model. The numerical computational result agrees very well with the experimental result. Therefore, it is concluded that the proposed enlargement and contraction model is valid for the numerical analysis of nonlinear pressure wave problem in a tube with an expansion-chamber muffler.
2010-04-25