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Air-Water Box: Mass Spring Damper System Modeling

  1. Aug 4, 2011 #1
    Hi All,

    I am building a sort of shock absorber for a hydraulic model of the human brain.

    To make a long story short,
    my circuit is connected to a box where water interface to pressurized air. The volume of air is calibrated to a specific compliance value, being compliance


    with V=volume of air, and P=pressure of air.

    Such a system can be modeled as a Mass-Spring-Damper (MSD) System, where
    Mass would be the mass of moving water, with its own inertia;
    Spring would be the volume of air, reacting with opposite forces to compression or expansion when water flows in or out;
    Damper would be given by the viscous dissipation effects.

    Does anybody know how to deal with such a system?
    I mean, I am very much aware of classical solution for a MSD, but don't know how to match parameters in the Hydraulic case. I.e. in my case, elastic constant Ke will be related to Compliance C, damping coefficient c will be related to viscosity nu, etc... but how exactly?

    Could you reference a book or paper which explains solution for such a system?

    Thanks :smile:
  2. jcsd
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