CN109147031A - A kind of lumber fibre concentration ellipse model modelling approach based on S2 layers of spiral fento - Google Patents
A kind of lumber fibre concentration ellipse model modelling approach based on S2 layers of spiral fento Download PDFInfo
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Abstract
The invention discloses a kind of lumber fibre concentration ellipse model modelling approach based on S2 layers of spiral fento, are related to lumber fibre Geometric Modeling field.Key step includes: to calculate fibre wall chamber ratio according to fiber cross section SEM image；Each layer ellipse size of fiber is calculated in conjunction with wall chamber ratio and fiber fractionation accounting；Establish S2 layers of elliptic spiral microfibrillar structure；S2 ellipse layer is subjected to spiral grooving；Each layer is assembled into concentration ellipse fiber model.Wherein, the fiber angle of S2 layers of fento has significant impact to the mechanical performance of fiber, so it is based on by model, so that model is more in line with true geometric shape.This model can be applied to the finite element simulation of the performances such as Elasticity and the thermodynamics of Single wood fibers.
Description
Technical field
The invention belongs to wood microstructure fields, are related to the geometry and its modeling technique neck of Single wood fibers
A kind of domain, and in particular to lumber fibre concentration ellipse model modelling approach based on S2 layers of spiral fento.
Background technique
Lumber fibre is applied very wide since ancient times, is most widely used in paper pulp papermaking, due to its is renewable, without dirt
The advantages that dye, rich content, has all been concerned since consistent.The microscopical structure of lumber fibre is studied thorough already: cellulose
Macromolecular is gathered into protofibril, and several protofibrils are gathered into sub-micro fine fibre, several sub- for the fine fibre of fine fibre recomposition
It ties up (referred to hereinafter as fento).There is hemicellulose between sub-micro fine fibre, fento outer layer is a thin layer of lignin.Lumber fibre from
In to being made of outside cavity, S3, S2, S1 and P layers, and each layer is made of fento and hemicellulose, lignin.
There are many macro property research for timber, but then for the structural modeling research of single fiber under meso-scale
It is opposite to lack.Many scholars propose the simplified model of lumber fibre, have all carried out significantly to the distribution of fento in each layer of fiber
Simplification.But the method for directly establishing fento in single fiber model is proposed without scholar so far.Existing patent does not have yet
There is the open method for the modeling of lumber fibre microscopical structure.
Summary of the invention
The purpose of the present invention is in view of the above shortcomings of the prior art, provide a kind of timber based on S2 layers of spiral fento
Fiber oncentricity model of ellipse modeling method.This lumber fibre concentration ellipse model modelling approach based on S2 layers of spiral fento passes through
Fiber cross section image calculates wall chamber ratio, and then determines fiber model of ellipse size, inlays spiral fento in S2 layers to restore
Fiber real topography establishes the concentration ellipse model of the single fiber an of fento containing spiral, finally to judge lumber fibre
Mechanicalness.
The purpose of the present invention can be achieved through the following technical solutions:
A kind of lumber fibre concentration ellipse model modelling approach based on S2 layers of spiral fento, lumber fibre from the inside to surface by
Cavity, S3 layers, S2 layers, S1 layers and P layers composition, comprising the following steps:
1) wall chamber ratio is calculated according to lumber fibre cross-section SEM images, i.e., by S3 layers, S2 layers, the S1 layers and P layers fibre constituted
Ratio between Wei Bi and cavity；
2) wall chamber ratio and S3 layers, S2 layers, S1 layers and P layers of each layer accounting is combined to calculate S3 layers, S2 layers, S1 layers and P layers
Each layer of oval size；
3) S2 layers are based on, elliptic spiral microfibrillar structure is established；
4) by S2 layers of progress spiral grooving, and this slot is matched with spiral microfibrillar structure；
5) S3 layers, the S2 layer of spiral grooving, S1 layers and P layers and spiral microfibrillar structure are assembled into concentration ellipse fiber
Model.
Preferably, in step 1), binaryzation has been carried out to the SEM image of fibre wall cross section and equivalent annulus is converted, into
And calculate wall chamber ratio Rwl, detailed process is as follows:
1.1) binary conversion treatment is carried out to SEM image using automatic threshold, obtains the bianry image BW of fiber cross section；
1.2) according to bianry image BW, cavity domain area S is countedLWith fibre wall domain gross area SF；
1.3) cavity is regarded as annulus inner circle, fibre wall is regarded as outer circle, according to formulaCalculate cavity equivalent circular
Radius RLWith fibre wall radius of equivalent circle RF；
1.4) wall chamber ratio is calculated:
Rwl=Twall/RL=(RF-RL)/RL,
Wherein, TwallFor wall thickness, RwlFor wall chamber ratio, RLCavity radius of equivalent circle, RFFor fibre wall radius of equivalent circle.
Preferably, step 2) comprises the steps of:
2.1) using the concentration ellipse of 4 layers (P, S1, S2 and S3) in fiber cross section as cavity；
2.2) elliptical semi-major axis is set in concentration ellipse as alumen, semi-minor axis blumen, calculated after calculating ellipse area
Radius of equivalent circle RlumenAre as follows:
2.3) according to the data provided in bibliography:
P layers of volume accounting TRP=0.08, S1 layers of volume accounting TRS1=0.08, S2 layers of volume accounting TRS2=0.76, S3 layers
Volume accounting TRS3=0.08, based on wall chamber ratio RwlCalculate the elliptical semi-major axis of each layer of concentration ellipse and semi-minor axis:
aS3=alumen+Twall·TRS3；
aS2=alumen+Twall·(TRS3+TRS2)；
aS1=alumen+Twall·(TRS3+TRS2+TRS1)；
aP=alumen+Twall·(TRS3+TRS2+TRS1+TRP)；
bS3=blumen+Twall·TRS3；
bS2=blumen+Twall·(TRS3+TRS2)；
bS1=blumen+Twall·(TRS3+TRS2+TRS1)；
bP=blumen+Twall·(TRS3+TRS2+TRS1+TRP)；
Wherein αS3For S3 layers of elliptical semi-major axis, αS2For S2 layers of elliptical semi-major axis, αS1For S1 layers of elliptical semi-major axis,
αPFor P layers of elliptical semi-major axis, bS3For S3 layers of elliptical semi-minor axis, bS2For S2 layers of elliptical semi-minor axis, bS1It is elliptical for S1 layers
Semi-minor axis, bPFor P layers of elliptical semi-minor axis, TwallFor wall thickness.
Preferably, in step 3), the method for building up of S2 layers of spiral fento are as follows:
3.1) an ellipse is drawn with mapping software, establishes an oval stretching curved surface；
3.2) circle is drawn, based on this circle to draw a helix；
3.3) N root (radical that N is then fento) concentric line segment is drawn by circumference array, establishes a helical scanning song
Face；
3.4) take the cross spider of oval stretching curved surface and helical scanning curved surface that can obtain the helix on ellipsoid；
3.5) datum level perpendicular to the line is established in the endpoint of every helix, draw a circle and is swept
It retouches, the modeling of elliptic spiral fento can be completed.
Preferably, step 4) is to cut oval ring domain spiral fento by the method for carrying out S2 layers spiral grooving
Except combination.
Compared with the prior art, the invention has the following advantages and beneficial effects:
1, the present invention is based on the wall chamber ratio that the cross-section SEM images of lumber fibre calculate fiber, size is established with this and is more pasted
Close the fine single fiber model of practical microscopic appearance；
2, the fento influenced in most significant S2 on structural behaviour is carried out individually modeling and incorporation model, emphasis by the present invention
Critical role of the fento in Single wood fibers is highlighted, while the anisotropy attribute of single fiber is restored；
3, layer each in fiber is regarded as model of ellipse by the present invention, and not advising for fiber is simplified in the case where not losing similarity
Then section.
Detailed description of the invention
Fig. 1 is the SEM bianry image of lumber fibre cross section；
Fig. 2 is the equivalent circular schematic diagram of lumber fibre cross section；
Fig. 3 is lumber fibre concentration ellipse model；
Fig. 4 is elliptic helix；
Fig. 5 is spiral microfibrillar structure model in S2 layers；
Fig. 6 is the oval ring model of S2 layer for cutting out helicla flute；
Fig. 7 is the Single wood fibers concentration ellipse model comprising S2 layers of spiral fento.
Specific embodiment
Present invention will now be described in further detail with reference to the embodiments and the accompanying drawings, but embodiments of the present invention are unlimited
In this.
As shown in Fig. 1~7, a kind of lumber fibre concentration ellipse model modeling side based on S2 layers of spiral fento is provided
Method, lumber fibre are made of cavity, S3 layers, S2 layers, S1 layers and P layers from the inside to surface, comprising the following steps:
1) wall chamber ratio is calculated according to lumber fibre cross-section SEM images, i.e., by S3 layers, S2 layers, the S1 layers and P layers fibre constituted
Ratio between Wei Bi and cavity:
1.1) binary conversion treatment is carried out to SEM image using automatic threshold, obtains the bianry image BW of fiber cross section；
1.2) according to bianry image BW, cavity domain area S is countedLWith fibre wall domain gross area SF；
1.3) cavity is regarded as annulus inner circle, fibre wall is regarded as outer circle, according to formulaCalculate cavity equivalent circular
Radius RLWith fibre wall radius of equivalent circle RF；
1.4) wall chamber ratio is calculated:
Rwl=Twall/RL=(RF-RL)/RL,
Wherein, TwallFor wall thickness, RwlFor wall chamber ratio, RLCavity radius of equivalent circle, RFFor fibre wall radius of equivalent circle.
2) as shown in Figure 2 and Figure 3, each layer accounting in conjunction with wall chamber ratio and S3 layers, S2 layers, S1 layers and P layers calculate S3 layers,
The oval size of each layer of S2 layers, S1 layers and P layers；
2.1) using the concentration ellipse of 4 layers (P, S1, S2 and S3) in fiber cross section as cavity；
2.2) elliptical semi-major axis is set in concentration ellipse as alumen, semi-minor axis blumen, calculated after calculating ellipse area
Radius of equivalent circle RlumenAre as follows:
2.3) according to the data provided in bibliography:
P layers of volume accounting TRP=0.08, S1 layers of volume accounting TRS1=0.08, S2 layers of volume accounting TRS2=0.76, S3 layers
Volume accounting TRS3=0.08, based on wall chamber ratio RwlCalculate the elliptical semi-major axis of each layer of concentration ellipse and semi-minor axis:
aS3=alumen+Twall·TRS3；
aS2=alumen+Twall·(TRS3+TRS2)；
aS1=alumen+Twall·(TRS3+TRS2+TRS1)；
aP=alumen+Twall·(TRS3+TRS2+TRS1+TRP)；
bS3=blumen+Twall·TRS3；
bS2=blumen+Twall·(TRS3+TRS2)；
bS1=blumen+Twall·(TRS3+TRS2+TRS1)；
bP=blumen+Twall·(TRS3+TRS2+TRS1+TRP)；
Wherein αS3For S3 layers of elliptical semi-major axis, αS2For S2 layers of elliptical semi-major axis, αS1For S1 layers of elliptical semi-major axis,
αPFor P layers of elliptical semi-major axis, bS3For S3 layers of elliptical semi-minor axis, bS2For S2 layers of elliptical semi-minor axis, bS1It is elliptical for S1 layers
Semi-minor axis, bPFor P layers of elliptical semi-minor axis, TwallFor wall thickness.
3) S2 layers as shown in Figure 5, Figure 6, are based on, S2 layers of elliptic spiral microfibrillar structure are established；
3.1) an ellipse is drawn with mapping software, establishes an oval stretching curved surface；
3.2) a circle is drawn, based on this circle to draw a helix；
3.3) N root (radical that N is then fento) concentric line segment is drawn by circumference array, establishes a helical scanning song
Face；
3.4) take the cross spider of oval stretching curved surface and helical scanning curved surface that can obtain the helix on ellipsoid；
3.5) datum level perpendicular to the line is established in the endpoint of every helix, draw a circle and is swept
It retouches, the modeling of elliptic spiral fento can be completed.
4) as shown in Figure 5, Figure 6, by S2 layers of progress spiral grooving, and this slot is matched with spiral microfibrillar structure；
4.1) S2 layers of oval ring domain spiral fento is subjected to excision combination, obtains band helicla flute S2 as shown in Figure 7
Layer.
5) as shown in fig. 7, S3 layers, the S2 layer of spiral grooving, S1 layers and P layers and spiral microfibrillar structure are assembled into together
Heart oval fibres model.
Above-mentioned specific embodiment is the preferred embodiment of the present invention, can not be limited the invention, and others are appointed
The change or other equivalent substitute modes what is made without departing from technical solution of the present invention, are included in protection of the invention
Within the scope of.
Claims (5)
1. a kind of lumber fibre concentration ellipse model modelling approach based on S2 layers of spiral fento, lumber fibre is from the inside to surface by sky
Chamber, S3 layers, S2 layers, S1 layers and P layers composition, which comprises the following steps:
1) wall chamber ratio is calculated according to lumber fibre cross-section SEM images, i.e., by S3 layers, S2 layers, the S1 layers and P layers fibre wall constituted
Ratio between cavity；
2) each of S3 layers, S2 layers, S1 layers and P layers of each layer accounting calculating of wall chamber ratio and S3 layer, S2 layers, S1 layers and P layers is combined
Each layer ellipse size；
3) S2 layers are based on, elliptic spiral microfibrillar structure is established；
4) by S2 layers of progress spiral grooving, and this slot is matched with spiral microfibrillar structure；
5) S3 layers, the S2 layer of spiral grooving, S1 layers and P layers and spiral microfibrillar structure are assembled into concentration ellipse fiber mould
Type.
2. a kind of lumber fibre concentration ellipse model modelling approach based on S2 layers of spiral fento according to claim 1,
It is characterized in that, binaryzation has been carried out to the SEM image of fibre wall cross section and equivalent annulus is converted in the step 1), into
And calculate wall chamber ratio Rwl, detailed process is as follows:
1.1) binary conversion treatment is carried out to SEM image using automatic threshold, obtains the bianry image BW of fiber cross section；
1.2) according to bianry image BW, cavity domain area S is countedLWith fibre wall domain gross area SF；
1.3) cavity is regarded as annulus inner circle, fibre wall is regarded as outer circle, according to formulaCalculate cavity radius of equivalent circle
RLWith fibre wall radius of equivalent circle RF；
1.4) wall chamber ratio is calculated:
Rwl=Twall/RL=(RF-RL)/RL,
Wherein, TwallFor wall thickness, RwlFor wall chamber ratio, RLCavity radius of equivalent circle, RFFor fibre wall radius of equivalent circle.
3. a kind of lumber fibre concentration ellipse model modelling approach based on S2 layers of spiral fento according to claim 1,
It is characterized in that, the step 2) comprises the steps of:
2.1) using the concentration ellipse of 4 layers (P, S1, S2 and S3) in fiber cross section as cavity；
2.2) elliptical semi-major axis is set in concentration ellipse as alumen, semi-minor axis blumen, calculate ellipse area after calculate it is equivalent
Radius of circle RlumenAre as follows:
2.3) according to the data provided in bibliography:
P layers of volume accounting TRP=0.08, S1 layers of volume accounting TRS1=0.08, S2 layers of volume accounting TRS2=0.76, S3 layers of volume
Accounting TRS3=0.08, based on wall chamber ratio RwlCalculate the elliptical semi-major axis of each layer of concentration ellipse and semi-minor axis:
aS3=alumen+Twall·TRS3；
aS2=alumen+Twall·(TRS3+TRS2)；
aS1=alumen+Twall·(TRS3+TRS2+TRS1)；
aP=alumen+Twall·(TRS3+TRS2+TRS1+TRP)；
bS3=blumen+Twall·TRS3；
bS2=blumen+Twall·(TRS3+TRS2)；
bS1=blumen+Twall·(TRS3+TRS2+TRS1)；
bP=blumen+Twall·(TRS3+TRS2+TRS1+TRP)。
4. a kind of lumber fibre concentration ellipse model modelling approach based on S2 layers of spiral fento according to claim 1,
It is characterized in that, in the step 3), the method for building up of S2 layers of spiral fento are as follows:
3.1) an ellipse is drawn with mapping software, establishes an oval stretching curved surface；
3.2) a circle is drawn, based on this circle to draw a helix；
3.3) N root (radical that N is then fento) concentric line segment is drawn by circumference array, establishes a helical scanning curved surface；
3.4) take the cross spider of oval stretching curved surface and helical scanning curved surface that can obtain the helix on ellipsoid；
3.5) datum level perpendicular to the line is established in the endpoint of every helix, draw a circle and be scanned, i.e.,
The modeling of achievable elliptic spiral fento.
5. a kind of lumber fibre concentration ellipse model modelling approach based on S2 layers of spiral fento according to claim 1,
It is characterized in that, the step 4) is to cut oval ring domain spiral fento by the method for carrying out S2 layers spiral grooving
Except combination.
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