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翻译:
英文原文
Definitions and Terminology of
Vibration
vibration
All matter-solid, liquid and gaseous-is
capable of vibration, e.g. vibration of
gases occurs in tail ducts of jet
engines causing troublesome noise and sometimes
fatigue cracks in the metal. Vibration
in liquids is almost always longitudinal and can
cause large forces because of the low
compressibility of liquids, e.g. popes conveying
water can be subjected to high inertia
forces (or
“
water
hammer
”
) when a valve or tap
is suddenly closed. Excitation forces
caused, say by changes in flow of fluids or
out-of-balance rotating or
reciprocating parts, can often be reduced by
attention to
design and manufacturing
details. Atypical machine has many moving parts,
each of
which is a potential source of
vibration or shock-excitation. Designers face the
problem of compromising between an
acceptable amount of vibration and noise, and
costs involved in reducing excitation.
The mechanical vibrations dealt with
are either excited by steady harmonic
forces ( i. e. obeying sine and cosine
laws in cases of forced vibrations ) or, after an
initial disturbance, by no external
force apart from gravitational force called weight
( i.
e. in cases of natural or free
vibrations). Harmonic vibrations are said to be
p>
“
simple
”
if
there is only one frequency as
represented diagrammatically by a sine or cosine
wave
of displacement against time.
Vibration of a body or material is
periodic change in position or displacement
from a static equilibrium position.
Associated with vibration are the interrelated
physical quantities of acceleration,
velocity and displacement-e. g. an unbalanced
force causes acceleration (a = F/m ) in
a system which, by resisting, induces vibration
as a response. We shall see that
vibratory or oscillatory motion may be classified
broadly as (a) transient; (b)
continuing or steady-state; and (c) random.
Transient Vibrations
die away and are usually associated
with irregular
disturbances, e. g.
shock or impact forces, rolling loads over
bridges, cars driven over
pot holes-i.
e. forces which do not repeat at regular
intervals. Although transients are
temporary components of vibrational
motion, they can cause large amplitudes initially
and consequent high stress but, in many
cases, they are of short duration and can be
ignored leaving only steady-state
vibrations to be considered.
Steady-
State Vibrations
are often associated with the
continuous operation
of machinery and,
although periodic, are not necessarily harmonic or
sinusoidal. Since
vibrations require
energy to produce them, they reduce the efficiency
of machines and
mechanisms because of
dissipation of energy, e. g. by friction and
consequent
heat-transfer to
surroundings, sound waves and noise, stress waves
through frames
and foundations, etc.
Thus, steady-state vibrations always require a
continuous energy
input to maintain
them.
Random Vibration
is
the term used for vibration which is not periodic,
i. e.
has no made clear-several of
which are probably known to science students
already.
Period, Cycle, Frequency and
Amplitude
A
steady-state mechanical
vibration is
the motion of a system repeated after an interval
of time known as the
period. The motion
completed in any one period of time is called a
cycle. The number
of cycles per unit of
time is called the frequency. The maximum
displacement of any
part of the system
from its static-equilibrium position is the
amplitude of the vibration
of that
part-the total travel being twice the amplitude.
Thus,
“
amplitude
”
is not
synonymous with
“
displacement
”
but is the maximum value of the displacement
from
the static-equilibrium position.
Natural
and
Forced
Vibration
A
natural
vibration
occurs
without
any
external force except
gravity, and normally arises when an elastic
system is displaced
from a position of
stable equilibrium and released, i. e. natural
vibration occurs under
the action of
restoring forces inherent in an elastic system,
and natural frequency is a
property of
he system.
A
forced
vibration
takes
place
under
the
excitation
of
an
external
force
(or
externally applied
oscillatory disturbance)
which is usually a function of time, e.
g.
in
unbalanced rotating
parts, imperfections in
manufacture of
gears and
drives. The
frequency
of
forced
vibration
is
that
of
the
exciting
or
impressed
force,
i.
e.
the
forcing frequency is an arbitrary
quantity independent of the natural frequency of
the
system.
Resonance
Resonance describes the
condition of maximum amplitude. It
occurs
when
the
frequency
of
an
impressed
force
coincides
with,
or
is
near
to
a
natural
frequency
of
the
system.
In
this
critical
condition,
dangerously
large
amplitudes and stresses may occur in
mechanical systems but, electrically, radio and
television receivers are designed to
respond to resonant frequencies. The calculation
or estimation of natural frequencies
is, therefore, of great importance in all types of
vibrating
and
oscillating
systems.
When
resonance
occurs
in
rotating
shafts
and
spindles, the speed of
rotation
is
known as
the
critical
speed.
Hence, the prediction
and
correction
or
avoidance3
of
a
resonant
condition
in
mechanisms
is
of
vital
importance
since,
in
the
absence
of
damping
or
other
amplitude-limiting
devices,
resonance
is
the
condition
at
which
a
system
gives
an
infinite
response
to
a
finite
excitation.
Damping
Damping
is
the
dissipation
of energy from
a
vibrating system,
and
thus
prevents excessive response. It is observed that a
natural vibration diminishes in
amplitude
with
time
and,
hence,
eventually
ceases
owing
to
some
restraining
or
damping
influence.
Thus
if
a
vibration
is
to
be
sustained,
the
energy
dissipated
by
damping must be replaced
from an external source.
The
dissipation
is
related
in
some
way
to
the
relative
motion
between
the
components or elements of the system,
and is caused by frictional resistance of some
sort, e.g. in structures, internal
friction in material, and external friction caused
by air
or fluid resistance called
“
viscous
”
damping if the drag force is assumed proportional
to
the
relative
velocity
between
moving
parts.
One
device
assumed
to
give
viscous
damping is the
“
d
ashpot
”
which is a loosely
fitting piston in a cylinder so that fluid
can flow from one side of the piston to
the other through the annular clearance space.
A dashpot cannot store energy but can
only dissipate it.
Basic
Machining Operations and Machine Tools
Basic Machining Operations
Machine tools have evolved from the
early foot-powered lathes of the Egyptians and
John Wilkinson
’
s
boring mill. They are designed to provide rigid
support for both the
workpiece and the
cutting tool and can precisely control their
relative positions and
the velocity of
the tool with
respect
to
the workpiece.
Basically, in
metal
cutting, a
sharpened wedge-shaped tool removes a
rather narrow strip of metal from the surface
of a ductile workpiece in the form of a
severely deformed chip. The chip is a waste
product that is comsiderably shorter
than the workpiece from which it came but woth
a corresponding increase in thickness
of the uncut chip. The geometrical shape of the
machine
surface
depedns
on
the
shape
of
the
tool
and
its
path
during
the
machinig
operation.
Most machining operations produce parts
of differing geometry. If a rough cylindrical
workpiece revolves about a central axis
and the tool penetrates beneath its surface and
travels
parallel
to
the
center
of
rotation,
a
surface
of
revolution
is
producedand
the
operation
is
called
turning.
If
a
hollow
tube
is
machined
on
the
inside
in
a
similar
manner,
the
operation
is
called
boring.
Producing
an
external
conical
surface
of
uniformly varying diameter is called
taper turning. If
the tool
point travels in a path
of varying
radius,a contoured surface like that of a bowling
pin a can be produced; or,
if the piece
is short enough and the support is sufficiently
rigid, a contoured surface
could
be
produced
by
feeding
a
shaped
tool
normal
to
the
axis
of
rotation.
Short
tapered or cylindrical surfaces could
also be contour formed.
Flat or plane
surfaces are frequently required. The can be
generated by adial turning
or facing,
in which the tool point moves normal to the axis
of rotation. In other cases,
it is more
convenient to hold the workpiece steady and
reciprocate the tool across it in
a
series
of
straight-line
cuts
with
a
crosswise
feed
increment
before
each
cutting
stroke.
This
operation
is
called
planing
and
is
carried
out
on
a
shaper.
For
larger
pieces
it
is
easier to
keep the tool
stationary
and draw the workpiece under
it as in
planing. The tool is fed at
each reciprocation. Contoured surfaces can be
produced by
using shaped tools.
Multiple-edged tools can also be used.
Drilling uses a twin-edged fluted tool for holes
with depths up to 5 10times the drill
diameter. Whether the dril turns or the workpiece
rotates, relative motion between the
cutting edge and the workpiece is the important
factor. In milling operations a rotary
cutter with a number of cutting edges engages the
workpiecem
which
moves
slowly
with
respect
to
the
cutter.
Plane
or
contoured
surfaces may be
produced, depending on the geometry of the cutter
and the type of
feed. Horizontal or
vertical axes of rotation ma be used, and the feed
of the workpiece
may be in any of the
three coordinate directions.
Basic
Machine Tools
Machine tools are used to
produce a part of a specified geometrical shape
and precise
size by removing metal from
a ductile materila in the form of chips. The
latter are a
waste
product
and
vary
from
long
continuous
ribbons
of
a
ductile
material
such
as
steel,
which
are
undesirable
from
a
disposal
point
of
view,
to
easily
handled
well-broken
chips
resulting
from
cast
iron.
Machine
tools
perform
five
basic
metal-removal
processes:
turning,
planing,
drilling,
milling,
and
frinding.
All
other
metal-removal
processes are modifications of these five basic
processes. For example,
boring is
internal turning;reaming,tapping, and
counterboring modify drilled holes and
are related to drilling; hobbing and
gear cutting are fundamentally milling operations;
hack sawong and broaching are a form of
planing and honing; lapping, superfinishing,
polishing,
and
buffing
are
avariants
of
grinding
or
abrasive
removal
operations.
Therefore, there
are only four types of basic machine tools, which
use cutting tools of
specific
controllable feometry: , s, ng machines, and g
machines. The frinding process forms
chips, but the geometry of the barasive grain is
uncontrollable.
The amount
and rate of material removed by the various
machining processes may be
large,
as
in
heavy
truning
operations,
or
extremely
small,
as
in
lapping
or
superfinishing operations where only
the high spots of a surface are removed.
A machine tool performs three major
functions: rigidly supports the workpiece or
its holder and the cutting tool; 2. it
provedes relative motion between the workpiece
and the cutting tools; 3. it provides a
range of feeds and speeds usually ranging from 4
to 32 choices in each case.
Speed and Feeds in Machining
Speeds feeds, and depth of cut are the
three major variables for economical machining.
Other variables are the work and tool
materials, coolant and geometry of the cutting
tool. The rate of metal removal and
power required for machining depend upon these
variables.
The depth of cut,
feed, and cutting speed are machine settings that
must be established
in any metal-
cutting operation. They all affect the forces, the
power, and the rate of
metal removal.
They can be defined by comparing them to the
needle and record of a
phonograph.
The
cutting
speed
is
represented
by
the
velocity
of
the
record
surface
relative
to
the
needle
in
the
tone
arm
at
any
instant.
Feed
is
represented
by
the
advance
the
needle
radially
inward
per
revolution,
or
is
the
difference
in
position
between two
adjacent grooves.
Turning
on Lathe Centers
The
basic
operations
performed
on
an
engine
lathe
are
illustrated
in
Fig.
Those
operations performed on extemal
surfaces with a single point cutting tool are
called
turning. Except for drilling,
reaming, and tapping, the operations on intermal
surfaces
are also performed by a single
point cutting tool.
All machining
operations, including turning and boring, can be
classified as roughing,
finishing, or
semi-finishing. The objective of a roughing
ooperation is to remove the
bulk
of
the
material
sa
repidly
and
as
efficiently
as
possible,
while
leaving
a
small
amount of material on the work-piece
for the finishing operation. Finishing operations
are
performed
to
btain
the
final
size,
shape,
and
surface
finish
on
the
workpiece.
Sometimes a semi-finishing operation
will precede the finishing operation to leave a
small predetermined and uniform amount
of stoxd on the work-piece to be removed
by the finishing operation.
Generally, longer workpieces are turned
while supported on one or two lathe centers.
Cone shaped holes, called center holes,
which fit the lathe centers are drilled in the
ends of the workpiece-usually
along the axis
of the
cylindrical
part.
The end of
the
workpiece adjacent to the tailstock
is always supported by a tailstock center, while
the
end near the headstock may be
supported by a headstock cener or held in a chuck.
The
headstock end of the workpiece may
be held in a four-jar chuck, or in a collet type
chuck.
This
method
holds
the
workpiece
firmly
and
transfers
the
power
to
the
workpiece smoothly; the additional
support to the workpiece priovided by the chuck
lessens the tendency for chatter to
occur when cutting. Precise results can be
obtained
with this method if care is
taken to hold the workpiece accurately in the
chuck.
Very precise results can be
obtained by supporting the workpiece between two
centers.
A lathe dog is clamped to the
workpiece; together they are driven by a driver
p;ate
mounted
on
the
spindle
nose.
One
end
of
the
workpiece
is
machined;
then
the
workpiece
can
be
turned
around
in
the
lathe
to
machine
the
other
end.
The
center
holes in the
workpiece serve as precise locating surfaces as
well as bearing surfaces to
carry the
weight of the workpiece and to resist the xutting
forces. After the workpiece
has been
removed from the lathe for any reason, the center
holes will accurately align
the
workpiece back in the lathe or in another lathe,or
in a cylindrical grinding machine.
The
workpiece must never be held at the headstock end
by both a chuck and a lathe
center.
While at first thought this seems like a quick
method of aligning the workpiece
in the
chuck, this must not be done because it is not
possible to press evenly with the
jaws
against
the
workpiece
while
it
is
also
supported
by
the
center.
The
alignment
provided
by
the
center
will
not
be
maintained
and
the
pressure
of
the
jaws
may
damage
the
center
hole,
the
lathe
center,and
prehaps
even
the
lathe
spindle.
Compensatng or
floating jaw chucks used almost exclusively on
high production work
provice
an
exception
to
the
statements
made
above.
These
chucks
are
really
work
drivers and cannot be
used for the same purpose as ordinary three or
four=jaw chucks.
While very large
diameter workpieces
are sometimes
mounted on two centers,
they
are preferably held at the headstock
end by faceplate jaes to obtain the smooth power
transmission; moreover, large lathe
dogs that are adequate to transmit the power not
generally available, although they can
be maed as a special.
Faceplate jaws
are like
chuck jaws except that thet
are mounted on a faceplate, which has less
overhang from
the spindle bearings than
a large chuck would have.
Boring
The boring operation
is generally performed in two steps; namely, rough
boring and
finish
boring.
The
objective
of
the
rough-boring
operation
is
to
remove
the
excess
metal
rapidly
and
efficiently,
and
the
objective
of
the
finish-boring
operation
is
to
obtain the desired size, surface
finish, and location of the hole. The size of the
hole is
obtained by using the trial-cut
procedure. The diameter of the hole can be
measured
with inside calipers and
outside micrometer calipers. Basic Measuring
Insteruments,
or inside micrometer
calipers can be used to measure the diameter
directly.
Cored holes and drilled holes
are sometimes eccentric wwith respect to the
rotation of
the lathe. When the boring
tool enters the work, the boring bar will take a
deeper cut
on
one
side
of
the
hole
than
on
the
other,
and
will
deflect
more
when
taking
this
deeper cut,with the result that the
bored hole will not be concentric with the
rotation
of the work. This effect is
corrected by taking several cuts through the hole
using a
shallow
depth
of
cut.
Each
succeeding
shallow
cut
causes
the
resulting
hole
to
be
more concentric than it
was with the previous cut. Before the final,
finish cut is taken,
the hole should be
concentric with the rotation of the work in order
to make certain
that the finished hole
will be accurately located.
Shoulders,
grooves,
contours, tapers, and threads
are bored inside of holes.
Internal
grooves are cut using a tool that is
similar to an external grooving tool. The
procedure
for
boring
internal
shoulders
is
very
similar
to
the
procedure
for
turning
shoulders
are
faced
with
the
boring
tool
positioned
with
the
nose
leading,
and using the cross slide to feed the tool.
Internal contours can be machined
using
a tracing attachment on a lathe. The tracing
attachment is mounted on the cross
slide
and
the
stylus
follows
the
outline
of
the
master
profile
plate.
This
causes
the
cutting tool to move in a path
corresponding to the profile of the master profile
plate.
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