Equiv. stiffness matrix (Mech. circuit) for hydraulic flow circuit?

  1. Dear All,

    I need to represent a hydraulic system into an equivalent mechanical (spring-mass-damper) system.

    But actually, they have reverse analogy in terms of flow resistance and stiffness..
    meaning, Force=stiffness(k)*displacement; but Flowrate=(Pressure drop)/Flow resistance
    i.e., for series and parallel combinations, k and flow resistances will have reverse analogy additions..

    I formed a stiffness matrix using concept of FE global elemental matrices assembly.. (1 dof @ each element nodes) - by considering the flow resistances of hydraulic circuit as spring stiffness directly...

    Similarly, i used the same matrix assembly process to determine flow coefficients matrix for hyd. circuit - but ending up with FLowrate = Pressure drop * Flow resistance (wrong relation)
    ie. Ab=X instead of AX=b

    So, how can i represent my flow matrix now?? Only after achieving this, I can proceed forward..
    Also let me know that whether I can replace all co-efficients of stiffness matrix with 1/R terms..
    Or should I have to take inverse of that matrix and perform the calculations..

    Help me out in reaching the soln..
    Ur ideas/suggestions r most welcome…

    Thanks in advance!!!
  2. jcsd
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