First I have to explain that I am an Agile coach. My job is to teach companies 
and their people to treat EVERYTHING as an unproven hypothesis. Then the work 
is to either prove or disprove that hypothesis through conducting experiments. 
The experiments are to be as simple and as inexpensive as possible to yield 
valid results. The result of each experiment yields new data, and a new set of 
hypotheses. New experiments are then set up to either prove or disprove these. 
The process is repeated as needed until a clear strategic path forward is 
identified. Guessing and assumptions are no longer allowed to be used to 
determine decisions because they stifle innovation. 

Therefore, in this case I cannot dismiss the piezo approach until sufficient 
experiments are run that prove or disprove whether it represents a viable 
approach. 

> The movement of the Piezo elements is not
> instantaneous, in fact they will generate the most energy when they only 
> yield slowly to the force, such that the largest possible force over the 
> largest possible time can act on them. 

While this is optimal, it it a requirement? In other words, would the Piezo 
element still generate energy of it were forced to act more quickly? In other 
words, could there be an optimum reaction response that balances the energy 
generated while reducing the "uphill effect"? Just wondering... 

Also, wouldn't the speed of the vehicle significantly impact your example? The 
ratio to time to travel the slab relative to the response time of the Piezo 
would see to differ drastically between 15 mph rush hour traffic and 70 mph off 
peak traffic flow. If the response time were forced tom e a constant, some less 
that ideal response time would have to be selected based on average speed or 
some traffic flow/speed optimization. 
 
What about only placing the piezo elements at the far end of the concrete slab? 
And adjust the static angle of the slab to minimize "the uphill effect"? Each 
slab could have the far end higher than the near end yet the total would 
actually be level or even a very slight downhill. Of course, driving the wrong 
direction would be a very unpleasant experience. The city just ground down an 
entire road near my house because the soil expansion actually produced this 
effect. I avoided driving down that section until they fixed it because the 
ride was so unpleasant. 

The Piezo I saw demonstrated only had a very small range of motion, say less 
that 1/16" and could react nearly instantaneously by only compressing it 
between your fingers while generating enough energy to light a led. 

Put a set if these at the far end supporting a 30' slab of concrete. The rise 
would be 1/16" over 30'. That comes out to something like 0.00017 degrees of 
rise. Let's say a 4000 lb vehicle is on that slab. If the slab were perfectly 
level, all 4000 lbs would result in a pure downward force to deflect the Piezo 
element with no additional rolling resistance due to a rise. The force vector 
changes with the 0.00017 degree rise. Now 3999 lbs of force are available to 
deflect the Piezo element and 1 lb of force is wasted due to the rise. The 
difference in force vectors is more than 3 orders of magnitude! Off the top of 
my head, 3 orders of magnitude seems insignificant enough to dismiss as 
"noise". I would guess that friction in general and the rolling resistance of 
the tires are larger that that. I wonder what the drag of disk brakes is? I 
would be willing to wager that I could attach a rope to that vehicle and 
manually pull it against that load for an entire day. Again, experimen
 ts would need to be run to prove or disprove this, but being able to use 3999 
lbs to generate energy at the cost of only 1 lb seems like a pretty good trade 
off to me. Obviously not perpetual or free energy but awfully close. At least 
enough to warrant investigation through experimentation before dismissing the 
idea completely. 
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