Nonlinear pressure wave analysis by concentrated mass model (4th report, modeling of elastic pipe element)

Satoshi Ishikawa, Takahiro Kondou, Kenichiro Matsuzaki, Shota Nagano

Research output: Contribution to journalArticlepeer-review


A pressure wave propagating in a tube often changes to a shock wave because of the nonlinear effects in the propagation medium. 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 rigid straight cylindrical tube. In this paper, we apply the model to an elastic pipe. The model in the elastic pipe consists of masses, nonlinear connecting springs, base support dampers, base support springs, and connecting dampers. The effect that the cross-sectional area of the elastic pipe changes is considered by the nonlinear connecting spring. To confirm the validity of the proposed elastic pipe model, we perform experiments on a silicone tube, and the experimental results are compared with the numerical results obtained by the concentrated mass model. The numerical computational results agree well with the experimental results. Therefore, it is concluded that the proposed elastic pipe model is valid for the numerical analysis of nonlinear pressure wave problem in an elastic pipe.

Original languageEnglish
Pages (from-to)1926-1937
Number of pages12
JournalNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Issue number777
Publication statusPublished - 2011

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering


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