At 10:44 pm 08/11/2005 -0500, Standing Bear wrote:
>Already have a 'bumper bar' in the form of some 'new' 'old' physics.
>That is 'Davis mechanics'. The Army even makes practical use of
>it for its tank gunnery. A hard shell can penetrate because of the
>high 'onset of acceleration' of the struck material when the shell hits.
>This is due according to Davis Mechanics to the real world behavior
>of the force equation commonly known as [F]= m[A] when the [] implies
>vectors. Now neglecting some calling 'm' as a kind of vector product
>of Higgs Force interaction, I propose that under Davis Mechanics the force
>equation would look something like this:
>
> [F] = m { (d[v]/dt) + (((d^2)[v]/d(t^2))^1) +...(((d^n)[v]/d(t^n))^(n-1))}
>
>which is a garden variety Taylor series. This quantifies the kinds of
>phenomena witnessed in the real world such as straws driven through
>creosoted hardwood utility poles and the use of the various nail guns
>used in the construction industry. Impact loads in my engineering
>curriculum were always taught as one of 'science's great mysteries'
>like the coefficient of gyration of non circular cross sections which I solved
>for one of my profs with an involved multidimensional multivarying calculus
>based exercise.
>
>Standing Bear
That's rather interesting because it relates to the discussion
Jones and I had on the relevance of jerk and jounce, etc.
The difference is that in the [F] equation, half of the terms
are missing,
"L" series = (dL/dt),(d^2)L/d(t^2), ........(d^n)L/d(t^n))
Your post reminds me of an as yet unformed idea which views a material
as having a dynamic onion type structure where each successive term in
the series enables penetration to successive layers of the onion. The
boundaries between each layer are standing waves in a dynamic aether
(cf. the structure of the atom).
What is jerk at one level is acceleration at another, velocity at another
and displacement at another. The datum for motion changes as one goes down
the various levels in the structure.
The beauty of hierarchical ideas is that one only has to get the
transition from one level to another clearly understood and one can
"zip up" all the other terms.
Mmm.....fascinating. I'll have to give this some thought. 8-)
'Science's great mysteries' are what one should be trying to solve.
Cheers,
Frank
