You contradict yourself. Differentiating a lossy compression of your data makes no sense. When you differentiated your polynomials, you were using them as models.
Nonsense.
Simply a container for the data. That's why I prefer the Poly(50) to Poly(10). Simply a means to smooth the data in a form that can be used to derive acceleration profile data.
Certainly not using them as models, so, no, you're utterly wrong I'm afraid. Simply containers for smoothed data.
Of course, the addition of the S-G curve to the pot has simply highlighted that excellent accuracy of the Poly curve results. It's all good
Differentiating your Poly(10) approximation yields an upward acceleration of over 12 ft/s^2 at your t0=11.875s, which does not decline to zero until 12.2s. That sustained upward acceleration is not present in your data.
Have you ever bothered to actually LOOK at the raw displacement data in any detail ?
It is a compression artifact created by your mindless use of high-degree polynomial curve fitting and exacerbated by your naive choice of an endpoint that's in the neighborhood of collapse initiation.
ROFL. I note you are avoiding the Savitzky-Golay profile like the plague, and focussing upon your pet choice of curve, the Poly(10), which of course has issues near the beginning and end of the ROI.
You are utterly transparent.
Do you have any issues with the Savitzky-Golay curve ?
Now that you have declared "demolition" to be the relevance of your analysis
This entire sub-thread is about the same topic, over and over
it is clear that your analysis is worse than useless for its avowed purpose.
ROFL. The trace data has provided another means to *debunk* many a *truther* theory, whilst highlighting many serious errors on NISTs part.
Your inept bias of personality is your own problem. You are a funny, funny man. Sad, but funny.
Your analysis has created the false impression that a significant and sustained upward acceleration occurred at beginning of the collapse. That is highly misleading.
What is misleading is your interpretation. Who said the upward acceleration at the start of the curve indicated real-world upward motion ? NO-ONE, except you kinda implying it here. You are misleading, and doing it deliberately. It's not like you are not aware of how you are deliberately adding inference in order to support your personal desire to present negative information.
The trends graphs are fine. They do contain some residual noise, and the S-G curve is better than the Poly curves. All show the acceleration profile in much greater detail and accuracy that the pathetic NIST curve when you derive it yourself (which, of course, they didn't do, as they didn't use their non-linear model for acceleration, and instead used the linear regression ONLY).
You can keep banging your head against the wall if you like though
NIST's nonlinear model yields far more accurate accelerations near the beginning of the collapse.
ROFL...
The NIST model has the acceleration at 10ft/s^2 at a time when the NW corner has not actually started sustained vertical descent
Note, by the way, that NIST's linear regression is limited to the interval defined as Stage 2 for the purposes of discussion.
Indeed, and the specific data points (determined via adjacent difference) they used are highlighted.
NIST's nonlinear model of acceleration is the only model NIST could have used for Stage 1.
Absolute nonsense. I suggest they used *eyeballs*.
NIST used that nonlinear model of acceleration to define the endpoints of Stage 2.
Nonsense. They used *eyeballs* and a ruler I imagine. Pathetic.
You have nothing to support your claim.
(NIST could not have used its linear regression to define those endpoints, because the interval had to be defined before the linear regression could be performed over that interval.)
Utter nonsense.
Here is what NIST actually state...
Now, tell me W.D.Clinger, where exactly are you pulling your assertions from ? I could make a highly accurate suggestion.
Your Poly(10) approximation is meaningless, period.
Nonsense. It is a
container for smoothed displacement/time data and the derived acceleration profile is very similar to the S-G curve, confirming its accuracy.
The true nature of this discussion is that, whether deliberately or incompetently, you are promoting an analysis that interprets compression artifacts as upward accelerations near the beginning of the collapse.
No, YOU are promoting that interpretation. Painfully obvious and transparent as well Will, tsk. And under your own name too. Shame. Think I'll write it up in a manner similar (but better of course) than the one you did for MT
If Poly(10) and Poly(50) are not models, why did you compute their derivatives?
To determine acceleration. You MIGHT want to realise that the METHOD of differentiating the Poly(10) and Poly(50) curves was symmetric differencing. Mathematical derivation of the Poly(10) curve was only performed as a cross-check. Again, I'm not treating them as models. You are. They are
simply containers for smoother displacement data.