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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!!!

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

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