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The Tuned-Mass Damper



(This is a repeat posting; the first one died somewhere?!?)

Bob Sciamanda wrote:

brian whatcott wrote:
. . .
I was hoping for an illuminating answer to this interesting physical
question of considerable practical importance.
. . .

OK, I'll give it a shot. If one hangs a mass from a spring and then
drives the UPPER end of the spring into oscillation with a sinusoidal
driving force (this is Leigh's example system in an MET post, but with a
sinusoidal driver), this same force is transmitted to the mass by the
(massless, frictionless) spring. Now the mass' acceleration will also
be in phase with this force and the mass' displacement is always 180
degrees away from its acceleration, resonance or no!

Hope this is useful,
-Bob
--

On third thought, the described system is specified to be damped, so
that the above does not apply. I can only guess that it is tuned to be
very far OFF RESONANCE, ie., driven at a high enough frequency that the
mass term dominates and the above phase relationships hold
approximately. I am not familiar with these systems; I'm only guessing -
any seismologists or architects out there?

-Bob
--


Bob Sciamanda sciamanda@edinboro.edu
Dept of Physics sciamanda@worldnet.att.net
Edinboro Univ of PA
http://www.edinboro.edu/~sciamanda/home.html
Edinboro, PA (814)838-7185


--


Bob Sciamanda sciamanda@edinboro.edu
Dept of Physics sciamanda@worldnet.att.net
Edinboro Univ of PA http://www.edinboro.edu/~sciamanda/home.html
Edinboro, PA (814)838-7185

La Comedia e finita!
-Canio in "Pagliacci" (ending words), by Ruggiero Leoncavallo