surface texture - profile parameters.pdf
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Rp, maximum profile peak height: height of the highest peak from the
mean line, defined on the sampling length.
Rv, maximum profile valley depth: depth of the deepest valley from the
mean line, defined on the sampling length.
Rz, maximum height of the profile: defined on the sampling length: this
parameter is frequently used to check whether the profile has protruding
peaks that might affect static or sliding contact function.
Ra, arithmetic mean deviation of the assessed profile: defined on the
sampling length. Ra is used as a global evaluation of the roughness
amplitude on a profile. It does not say anything on the spatial frequency
of the irregularities or the shape of the profile. Ra is meaningful for
random surface roughness (stochastic) machined with tools that do not
leave marks on the surface, such as sand blasting, milling, polishing
Rq, root mean square deviation of the assessed profile : corresponds to the
standard deviation of the height distribution, defined on the sampling
length. Rq provides the same information as Ra.
Rsk, skewness of the assessed profile: asymmetry of the height
distribution, defined on the sampling length. This parameter is important
as it gives information on the morphology of the surface texture.
Negative values correspond to high peaks spread on a regular surface
while positive values are found on surfaces with pores and scratches. It
is therefore interesting when contact or lubrication functions are
required. This parameter does not give any information on the absolute
height of the profile, contrary to Ra.
Rku, kurtosis of the assessed profile: sharpness of the height distribution,
defined on the sampling length.
Rc, mean height of profile elements: defined on the evaluation length.
This parameter can be calculated on surfaces having texture cells or
grains. It is similar to the motif parameter R found in ISO 12085 and, in
that sense, it should be considered as a feature parameter (see ISO
25178).
Hybrid parameters
Rdq, root mean square slope of the assessed profile, defined on the
evaluation length. Rdq is a first approach to surface complexity. A low
value is found on smooth surfaces while higher values can be found on
rough surfaces having microroughness.
RPc, peak count number. Was introduced in Amendment 1. Provides the
density of peaks per unit of length.
Functional parameters
Rmr, material ratio at a given depth. This parameter gives the percentage
of material cut at a given depth from the top of the profile. The reference
may also be taken from the center line or another reference height (c0).
Rdc, profile section height between two material ratios. A stable value of
roughness height can be evaluated using Rdc(2%-98%) if outliers are
present on the surface. This calculation excludes the highest peaks that
will be worn out and the deepest valleys that will be filled in. In the
automotive industry, the material height removed during running-in can
be assessed with Rdc(1%-33%) and the void volume used for lubricant
pockets can be assessed with Rdc(25%-99%).
Material ratio calculated on the Abbott-Firestone curve.
Rmr at 2 µm below the highest peak is 10%.
Section height between 5% and 95% of material ratio is 6,5 µm.
ISO 12085 - Profile method - Motifs parameters
This standard is the international version of a French standard
established by CNOMO, a consortium involving PSA Peugeot Citroen and
Renault, during the 80s and 90s. The method is based upon a graphical
segmentation of the profile into motifs that are then quantified in height
and width. The originality and advantage of this method is the
correlation that was established between parameter values and
Roughness parameters
R, mean depth of roughness motifs
AR, mean spacing of roughness motifs
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functional requirements, due to a vast measurement campaign that
characterized more than 40 000 components. It is commonly called the
French motifs method or R&W parameters.
Today, these parameters are less used but the conclusions regarding the
relationship between function and specification remain important and
can be used with other parameters.
Roughness motifs
Motifs are defined on a profile as a peak-valley-peak trio and are
detected by a special segmentation method. The main part of the
algorithm is a combination procedure based upon four conditions and
controlled by a limit A. The combinations merge small and insignificant
motifs into larger ones. At the end of the procedure, significant motifs
are quantified with parameters.
Rx, maximum depth of roughness motifs
Then an upper envelope is calculated by joining roughness motifs peaks
by line segments, and the segmentation procedure is repeated on this
envelope using two limits A and B. Then waviness parameters are
calculated.
Waviness parameters
W, mean depth of waviness motifs
AW, mean spacing of waviness motifs
Wx, maximum depth of waviness motifs
Wte, Amplitude of the upper envelope
Upper envelope and Waviness motifs
Recommended motifs parameters in specification,
for each type of function
The drawback of this method is its instability as it is based on conditions
instead of mathematical basis. There is a work in progress to adapt the
watershed segmentation to profiles and replace the combination rules by
a Wolf pruning. This new motifs method should be described in ISO
16610, probably in part 43. The correlation between the two methods is
discussed in [BLATEYRON 2004]
ISO 13565-2 and ISO 13565-3 - Profile method - Surfaces having stratified functional properties
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This series of standards are specially aimed at characterizing stratified
surfaces produced by a two-step manufacturing process such as honing-
polishing machining. The first part of this standard series, ISO 13565-1,
defines a special double-pass filter that provides a sort of robustness
against deep holes that are common in stratified surfaces. This filter is
now superceded by the Gaussian Regression filter defined in ISO
16610-31. Part 2 defines a set of parameters called Rk-parameters that
are derived from a graphical construction on the Abbott-FirestoneAbbott-FirestoneAbbott-FirestoneAbbott-Firestone
curvecurvecurvecurve. Rk parameters should be calculated only if the Abbott curve has a
S-shape, otherwise the graphical construction may fail and parameter
values will be meaningless.
Parameters of ISO 13565-2
Rk, core roughness depth
Rpk, reduced peak height. This parameter is used to characterize
protruding peaks that might be eliminated during function.
Rvk, reduced valley depth. This parameters is used to characterize valleys
that will retain lubricant or worn-out materials.
MR1 and MR2: material ratio delimiting the core area.
Other parameters such as A1 and A2, Rpk* or Rvk* can also be
calculated for specific use.
Graphical construction of Rk parameters
Parameters of ISO 13565-3
This standard is specilized in the characterisation of stratified vertical
random components such as a valley texture with a fine plateau texture
superimposed. Here again, these parameters should be calculated only
on surfaces that comply with this description.
Rpq, Plateau Root Mean Square roughness of the profile
Rvq, Valley Root Mean Square roughness of the profile
Rmq, Material ratio at plateau-to-valley transition of the profile
These parameters can be also calculated on the primary profile, as Ppq,
Pvq and Pmq.
Other standards
ASME B46.1
This standard today is more in line with ISO standards than the previous
versions, except for some differences. The main difference is about
sampling length and averaged parameters. In ASME, all profile
parameters are defined and calculated on the evaluation length.
VDA 2006
This standard from the German automotive industry collects parameters
defined in ISO 4287 and ISO 13565 and introduces several rules that
differ from ISO. The main difference concerns the use of microroughness
filter λs that is prohibited here. It also reintroduces the parameter RmaxRmaxRmaxRmax
that was once part of ISO 4287 and is a good complement to Rz.
VDA 2007
This standard defines special parameters for the evaluation of periodic
surfaces, especially in the field of mating surfaces. It is usually referred to
as Dominant wavinessDominant wavinessDominant wavinessDominant waviness
MountainsMapMountainsMapMountainsMapMountainsMap offers several options to comply to these standards.
ISO parameters are all available but sometimes as an option (such as
the Automotive Module). ASME B46.1 is offered as a family in the
Parameter study. VDA 2006 can be implemented by disabling the
microroughness option in the Preferences.
See MountainsMap Profile and 2D Advanced Surface Texture or 2D
Automotive optional modules.
Towards a complete revision of profile standards
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New structure
In fall 2012, the WG16 group of ISO TC 213 decided to start revising
profile standards in order to align them with the ISO 25178 structure and
concepts. Basically, the new structure will consist of at least three parts:
Part 1 - Drawing indications. Will incorporate the content of ISO
1302, plus new symbols.
Part 2 - Definitions and parameters. Will include definitions of allparameters, from ISO 4287, ISO 12085 and ISO 13565, plus
several new parameters.
Part 3 - Specification operators. Will define default values, and
units of parameters.
At this stage, there is no plan to describe instruments characteristics or
calibration as this was included in ISO 25178 parts 60x and 70x, as well
as parts 7x for material measures and softgauges.
Time frame
Principles have been discussed in 2013 at the Helsinki meeting and a
first draft of Part 2 was established by a task force within the group.
Discussions will continue probably until mid-2015 when the first official
New Work Item Proposal will be issued to Geneva Central Secretariat.
Publication is not expected before 2017-2018.
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