Description
Below
IS
the
free
body diagram
ftp.TI-JT-xdx
f) ? flat)?d
(O
?
171
for
this shaft :
0-0=10+305 dx
?
1-1
d?
Newton ‘s 2nd
IT-IXLX.t.lt?gT-dX)-T+flx.t)dX–Ilx)020-yIzt)Much
1
like in
,
we
will
use
.
that
Ig,?Gd?
,
so
plugging
in
Law
,
We know
,
??dx=GJl?)%?(d d?=%?[GTl?)%?t-]dx Returning
.
to
our
Newton ‘s
2nd Law
dividing through by
torsional
for
the
DX , we
vibration
derived equation and
get
the
equation
of a shaft,
3-xta-JKPO.LY#+flx.t)–Il*”?I#
.
of
motion
Find the frequency equation of the plane milling cutter shown below when the left end
of the shank is fixed. The torsional rigidity of the shank is given by GJ, and the mass
moment of inertia of the cutter is given by Jo.
Shank
Milling cutter
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