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Pitch Deviation |
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Single pitch deviation
fpt:
The algebraic difference between the actual pitch and the corresponding
theoretical pitch in the transverse plane, defined on a circle
concentric with the gear axis at approximately mid-depth of the
tooth.
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Normal pitch deviation
fpn:
Sometimes, when a portable comparator suitable only for checking
in the normal planes is used, the normal pitch deviation instead
of the (transverse) single pitch deviation is measured.
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Base
Pitch deviation fpb:
The algebraic difference between
the actual value and the specified value of the base pitch. Pb.
If necessary, an appropriate index is added to indicate whether
the deviation refers to the normal section (fpbn)
or to the transverse section (fpbt).
The result of base pitch measurement is not influenced by any chance
eccentricity of the gear teeth. |
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Mean
base pitch deviation fpbm:
The algebraic difference between the arithmetic mean value of the
base pitches measured on a number of equi-spaced corresponding flanks
around the gear and the specified base pitch pb.
It is often employed to determine the mean
profile slope deviation or the base diameter deviation, especially
when no profile inspection is undertaken. |
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Adjacent
pitch difference fu:
(no algebraic sign) is the difference between the actual measured
values of two consecutive transverse pitches of right or left flanks;
it is equal to the difference between the transverse pitch deviations
of two consecutive flanks. |
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Cumulative
Pitch Deviations
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Cumulative pitch
deviation Fpk:
The cumulative pitch deviation over a sector of k
pitches is the algebraic difference between the actual length
and the theoretical length of the relevant arc. It is equal to
the algebraic sum of the single pitch deviations of the same k
pitches.
The purpose of tolerance specifications for this kind of deviation
is to assure that in service conditions no substantial acceleration
and dynamic loads are generated.
ISO quality standards contain formulae giving values for maximum
permissible cumulative pitch deviations Fpk
for sectors of pitches with k ranging from 2 to z/8 pitches (1/8
of circumference).
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Cumulative pitch deviation Fpk/8
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Total cumulative
pitch deviation Fp:
The total cumulative pitch deviation is the maximum cumulative
pitch deviation of any sector of the corresponding flanks of a
gear.
It is the difference between the actual and the theoretic length
of the arc between those two corresponding flanks which - with
respect to the theoretic circular division - deviate furthest,
whether in the positive or negative sense, from their theoretic
position.
In inspection practice, the total cumulative pitch deviation is
often derived by sequentially adding the transverse pitch deviations
fpt: the distance between
the highest and the lowest points on the graph thus formed corresponds
to the total cumulative pitch deviation Fp.
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Pitch
sector deviation fpS:
Cumulative pitch sector deviation FpkS:
Total cumulative pitch sector deviation Fps:
For economic reasons and - if comparator measurement is applied
- also for reasons of accuracy, the cumulative deviations of large
gears are often determined by measurement steps covering a sector
of several pitches. |
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