Mathematical Analysis of an Ideal ZED

[MarkE]

In the spreadsheet I have from you  A126 has    ST3_AR6_Hdel_pmm   NOT ST2_AR6_Hdel_pmm

So B107 should look the same as B108 with the additional AR parts added?

B120 through B127 are the changes in water height in each of the annular rings for each mm lift of the risers going from State 2 to State 3.  B107 which is the pressure at the bottom of the pod chamber should read:  =ST2R1Pressure+G0*pWater*m_per_mm*ST2FillHeightAR1 provided that we want to treat this like the risers.  However, if we do that, then we have to account for the pressure above when calculating the total lift, whereas what the spreadsheet was doing was just using the head since the AR2 pressure acts upon the head and the top of the pod, canceling out.  I think I like changing to accounting for the AR2 pressure, even though it cancels out, as I think that makes the spreadsheet more consistent and easier to follow.

[MarkE]

MarkE,


I'm done.


It is impossible to teach someone without the common sense to understand what 'Utilize PSI' implies.

I'm sorry that I resist going down garden paths.  The chair in which you are seated has plenty of PSI that you utilize to stay off of the floor.  Yet it does not need to do any work to serve that useful function.

The ~$1. spring from Amazon lets me utilize position dependent force in 1/1000th the volume of the "ideal ZED".  The "ideal ZED" reduces to an overly complicated, short stroke, low rate, orientation restricted spring.

[MarkE]

I think that would be better as the pressure placed into the accumulator,, the precharge is termed as the pressure inside the ZED after it is filled up with water.

So the point you are saying is that the accumulator *may* be nothing more than a *battery* that is being used and hence can get used up.

So it needs to be checked for start charge, running charge state and end charge.

For whatever one deems to be a complete cycle, one needs to account for:  Stored energy at the start, stored energy at the end, energy added, and energy released.  HER/Zydro misuse terms all the time.  The "ball" in HER/Zydro's game of three card monty is energy.

Nearly constant force can be had from a low rate spring that has been highly preloaded.  Apply that to a piston and get nearly constant pressure.  Add a pressure regulator, and get even more constant pressure.

[MarkE]

Silly me,,

I changed B113 to include -ST2R1Pressure*(PodOD*m_per_mm)^2)

I could of just subtracted the pressures but that would not show all energy and what it all is doing,, this is what the correct method should be??  I mean I could get the same answer but I would not be showing all interactions and all the energy and stuff,, so this way the negative force from r1 is shown as well as the positive force from the pod.

I think it is best to include all the terms even where they cancel out.  Then anyone can see what the operating assumptions are.  As I mentioned above, the AR2 pressure acts on everything in the pod chamber, including the water and the pod. 

[orbut 3000]

MarkE,


I'm done.


It is impossible to teach someone without the common sense to understand what 'Utilize PSI' implies.

Oh, please, no. Larry, don't run away now just because MarkE is closed-minded. There are many lurkers here who follow this thread and wish to be enlightened.
Please, stand your ground and show us the maths that pave the paths to fully understand ZED.