CN103776691B - Apply the device and method of compression to cylindrical body or multi-diameter shaft shape geometry body side surface - Google Patents

Apply the device and method of compression to cylindrical body or multi-diameter shaft shape geometry body side surface Download PDF

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CN103776691B
CN103776691B CN201210394357.3A CN201210394357A CN103776691B CN 103776691 B CN103776691 B CN 103776691B CN 201210394357 A CN201210394357 A CN 201210394357A CN 103776691 B CN103776691 B CN 103776691B
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tensioning
tensioning band
band
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cylindrical body
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CN103776691A (en
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王哲
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Abstract

A kind of multi-diameter shaft shape solid formed with tensioning band for cylindrical body or by cylindrical body(Load object)The device and method that side applies compression.Tensioning band can bear pulling force, but almost not stress when moment of flexure.The innermost layer end of tensioning band is connected in a fixing device or is directly coupled to the surface of load object.Tensioning band is wrapped on load object, and when applying pulling force to outermost layer tensioning band, tensioning band just applies compression to load object.In stretching process, each layer of tensioning band is alignment in width direction, is realized by using both sides guidance method or interlayer guidance method.The former is that guide plate is arranged in tensioning band both sides, and the latter is the tensioning band for having guide function using itself or tensioning band is wound together with guidance tape.It is coated with lubricant between each layer of tensioning band or places lubrication belt.It is available with the computational methods provided when the section for loading object is round, load the proportionality coefficient between object side pressure and the outermost layer pulling force of tensioning band.

Description

Apply the device and method of compression to cylindrical body or multi-diameter shaft shape geometry body side surface
Technical field
The present invention relates to machinery, oil, building, traffic and transport fields, specifically, being related to for cylindrical body and by cylindricality The device and method that the multi-diameter shaft shape solid of body composition applies lateral pressure.
Technical background
There are many case where cylindrical body is acted on by approximate uniformly distributed lateral pressure in engineering, for example, submarine pulls the plug In-between section is acted in no oil pressure by seawater pressure by effect of water pressure, subsea petroleum pipeline afterwards, and suspend tunnel in water Road is by effect of water pressure, and Circular Shaft concrete walling is by Earth Pressure Around and effect of water pressure.For another example, work as building Pillar insufficient strength when, reinforced by winding affixing carbon fabric, be allowed to be acted on by lateral pressure.
When studying the mechanical characteristic and bearing capacity of these objects, load examination is carried out to them in laboratory or scene It tests.
There are two ways to existing application is evenly distributed with lateral pressure.The first is that object is put into closed hydraulic environment In, apply lateral pressure by increasing fluid pressure.Second is, wanting to place oil sac around object, to be arranged on the outside of oil sac Limits device does not allow oil sac to be displaced outwardly.Lateral pressure is applied to object, as long as pressurizeing to oil sac.
The present invention provides a kind of loading devices and method of simplicity, and compared with above two loading method, what is used sets Standby less, load is more convenient.
Invention content
It is an object of the present invention to provide a kind of to apply side pressure to cylindrical body or by the multi-diameter shaft shape solid that cylindrical body forms The loading device and loading method of power.Including two parts:(1)The structure and loading method of loading device;(2)Circular cross-section rank The lateral pressure of terraced axis shape solid loads computational methods.
(One)Loading device structure and loading method
1. cylindrical body
Cylindrical body includes mainly following several:
(1)Cylinder, prism or elliptic jet cylinder;
(2)Three-dimensional geometry body of the sectional view without indent, each cross sectional shape perpendicular to axis is identical, section foreign steamer Profile is made of straight line and convex outer curve;
(3)Sectional view has the three-dimensional geometry body of indent, still, the outer contour perpendicular to each section of axis Envelope is to overlap or almost overlap along the projection of axis.
Cylindrical body can be solid, can also be to have cavity.If there is cavity, then " sectional view described above No indent " and " sectional view has indent " refer to the feature of cylindrical body outer surface and figure obtained by cross―section line.
2. the multi-diameter shaft shape solid being made of cylindrical body
This solid is made of cylindrical body, and the axis of each cylindrical body is to overlap.
3. tensioning band
Tensioning band, which is one kind, can bear pulling force, but be not subject to or be almost not subject to the strip material of moment of flexure.
4. the fixing device and fixing means of tensioning band
The loading device for applying lateral pressure to cylindrical body is as shown in Figure 1 and Figure 2.Before coiling, one end of tensioning band is wanted It is fixed together, there are two types of methods.
(1)The tensioning band used(1.1,1.2)One end be all connected in a fixing device(4.1)On(Fig. 1, Fig. 2). For coupling the fixing device of tensioning band(4.1)It can be selected as a thin plate convenient for bending, tensioning band may be used viscous therewith The modes such as mixture bonding, rivet joint, bolt-connection, welding, flanging connection.Tensioning band canoe is shown in Fig. 1, Fig. 2, fixed dress It sets(4.1)With cylindrical body(5)It is wrapped together by tensioning band.It is had in the end on the boundary of fixing device and tensioning band Gap, when necessary with some packing materials(4.2)Filling.The benefit of this method is the drawing that the one end of tensioning with innermost layer generates Power is all transmitted in fixing device, and tensioning band almost only has normal pressure to the effect that cylindrical body generates, without shear stress.
(2)Directly tensioning band(1.1)It is fixed on cylindrical body(5)On.The benefit of this method is simple;The disadvantage is that The pulling force of drawstring is all transmitted in cylindrical body, and cylindrical body surface is made to generate shear stress, and inside generates torque.Due to identical in arrival Normal pressure under conditions of, winding the number of turns it is more, the pulling force needed is smaller, in order to reduce the influence of torque as far as possible, can be used The thickness of tensioning band is reduced, the method for winding the number of turns is increased.
For the multi-diameter shaft shape solid being made of multiple cylindrical bodies(6)Apply lateral pressure loading device such as Fig. 3 and Shown in Fig. 4, also there are many fixing means for end of the tensioning with innermost layer, and simplest method is directly anchored to by multiple cylindricalitys The surface of the multi-diameter shaft shape solid itself of body composition.
5. antifriction apparatus and antifriction method
The tensioning band of multi-lay winding, the contact surface between respectively enclosing reduce the processing of frictional force.There are two types of processing Method
(1)For the tensioning band that surface is smooth, applies lubricant or have the substance of lubricating action or the one side in tensioning band It is laid with lubrication belt;
(2)For rough tensioning band(Such as fiber knitted net or woven cloth), in the one or both sides of tensioning band Lubrication belt is set.
Lubrication belt is the band-like substance for having lubricating action, and width is greater than or equal to the width of tensioning band, before the use It has made.By yellow glycerine it is alternate with plastic cloth made of strip material be exactly a kind of lubrication belt.
6. tensioning band structure and guider and guidance method
A type tensioning bands
A type tensioning bands are the tensioning bands for censuring the wide surfacing of uniform thickness.
A type tensioning band after wrapping under tension act on when, it may appear that lateral sliding is especially being coated with lubricant In the case of.
A type tensioning bands prevent from breakking away using both sides guidance method(Figure 12), that is, in the width direction two of tensioning band 1.1 Independent guider 7 is arranged in side.Most common two lateral guide is guide plate.Guide plate can be an entire plate, Can be several blocks of plates, if it is one piece of full page, one side of the guide plate towards tensioning band requires vertical with cylindricality body axis;If By several board groups at then in the one side towards tensioning band, it is desirable that they be in one it is common perpendicular to cylindricality body axis Plane on.Guide plate is arranged in the both sides of every tensioning band, and two adjacent tensioning bands can share a guide plate.Guide plate So that tensioning band in-between just as hand in an examination paper be wrapped in hand in an examination paper axis in.
Type B tensioning band
Type B tensioning band refers to tensioning band with interlayer guide function itself.Interlayer guiding refers to, when tensioning band is wound Between each circle lateral confinement is carried out each other, prevent from breakking away with this.Type B tensioning band also referred to as be oriented to tensioning band, mainly have with Lower three kinds.
(1)B1 type tensioning bands(2.21)
Such as Fig. 5, there are fin and groove of the trend along length direction on B1 type tensioning band 2.21, one side is convex when winding Rib is just fallen in the groove of another side.The cross section of this tensioning band is made of equidistant straight line and/or equidistant curve. The interlayer antifriction method of tensioning band is used in surface smear lubricant, or places lubrication belt.
(2)B2 type tensioning bands(2.22)
Such as Fig. 6, B2 type tensioning band 2.22 is to install leading with longitudinal fin respectively on the two sides of A type tensioning band 2.1 To band 3.12 and the guidance tape with longitudinal groove 3.11, the fin of guidance tape of the tensioning with side is just pressed in another when winding In the groove of side guidance tape.It is fixed together, cannot relatively move between guidance tape and tensioning band.After winding, two There are one contact surfaces between guidance tape, opposite can be slided along this face, to smear lubricant in secondary face or place lubrication belt.
(3)B3 type tensioning bands(2.23)
Such as Fig. 7, B3 type tensioning band 2.23 is the one side installation last layer guidance tape fixed thereto in A type tensioning bands, is oriented to Band makes fin on the both sides of width direction, and in winding, tensioning band is just fallen among the fin of guidance tape.Tensioning band with lead It cannot relatively move on stationary plane to band, but can be slided on another contact surface between winding post-stretching band and guidance tape Dynamic, lubricant is applied on slidably face.
A type tensioning bands are used in combination with c-type guidance tape
If the section of Fig. 8, c-type guidance tape 3.3 are I-shaped, c-type guidance tape divides each other with A type tensioning bands before coiling From;When winding, guidance tape 3.3 is placed on a face of tensioning band 2.1 and winds together therewith;After winding, tensioning band 2.1 is just Guidance tape 3.3 is embedded between two fins of width direction.Two surfaces of guidance tape are all contacted with tensioning band, contact surface Between can be along groove move towards sliding, all contact surfaces will smear lubricant.
7. the common used material of tensioning band includes:
(1)Continuous homogeneous metal material, continuous homogeneous high molecular material, other continuous homogeneous materials,
(2)Braided material, such as
Metal web or metal fiber cloth,
Carbon fibre web or carbon cloth,
Glass fiber mesh or glass fabric,
Chemical fiber web or chemical fiber cloth,
(3)Composite material, such as
Carbon fiber plastic cloth or carbon fiber rubberized fabric,
Fiberglass plastic cloth or glass fibre rubberized fabric,
Metallic fiber plastic cloth or metallic fiber rubberized fabric,
Chemical fibre plastic cloth or chemical fibre rubberized fabric,
And using one of carbon fiber, glass fibre, metallic fiber and chemical fibre or certain combinations as reinforcing material Laminar composite,
Its matrix can be metal material, high molecular material, inorganic non-metallic material etc..
8. the loading method and method for arranging of tensioning band
The side of multi-diameter shaft shape solid with tensioning band to being formed to cylindrical body or by cylindrical body applies the side of compression Method after actually tensioning band is wound, applies pulling force in outermost layer to tensioning strap end portion.
In most cases, the purpose loaded with tensioning band only merely applies lateral pressure, therefore, in arrangement tensioning When band, it is contemplated that the other influences generated on cylindrical body or by the multi-diameter shaft shape solid that cylindrical body forms are dropped as much as possible To minimum.
Tensioning band outmost turns are acted on by external load device and generate pulling force, external load device to all tensioning bands The pulling force that outmost turns apply is considered as external force, it is desirable that the multi-diameter shaft that the pulling force of all tensioning bands is formed for cylindrical body or by cylindrical body Part except the winding area of shape solid, does not generate internal force.So being required to meet following equilibrium condition when arrangement tensioning band.
(1)In any direction, of the projection of pulling force of the tensioning of wound clockwise with outmost turns equal to wrapped anti-clockwise The projection of the pulling force of the outmost turns of drawstring, but direction is opposite;
(2)The torque that pulling force of the tensioning of wound clockwise with outmost turns generates is equal to the tensioning band of wrapped anti-clockwise most The torque that the pulling force of outer ring generates, but direction is opposite;
(3)Pulling force pair of the tensioning of wound clockwise with outmost turns(Cylindrical body or the multi-diameter shaft shape being made of cylindrical body are several What body)The moment of flexure that any cross section except area generates is wound, the pulling force of the outmost turns of the tensioning band of wrapped anti-clockwise is equal to To the moment of flexure that same section generates, but direction is opposite;
If the lateral pressure that cylindrical body needs is equally distributed, simplest method for arranging is to need to apply side pressure A plane perpendicular to axis is done in the centre position of the section of power, and 4 tensioning bands are arranged symmetrically about this plane, every Width, thickness, intensity it is all identical, 2 of wound clockwise, 2 of wrapped anti-clockwise, pulling force all phases of each tensioning band Deng direction is parallel to each other, such as Figure 12.When needing the section for applying lateral pressure longer, several sections can be divided into, each Section is loaded with 4 tensioning bands being arranged symmetrically.
(Two)Circular cross-section multi-diameter shaft shape geometry body side pressure loads computational methods
Since cylinder is the special case of multi-diameter shaft shape solid, formula below is also applied for cylinder.
Applying device such as Fig. 3, Fig. 4 of lateral pressure to multi-diameter shaft shape solid, the section of solid is the circle of standard, Drawstring is directly anchored to the side surface of multi-diameter shaft.When multi-diameter shaft shape solid is degenerated to cylinder, it is assumed that all tensioning bands are all It is fixed on the coupling arrangement of a very thin thickness(Fig. 1, Fig. 2).
Such as Fig. 4, a total of K tensioning band.If the width of kth bar tensioning band is bk, calculated thickness tk, winding the number of turns is Nk.Remember that n is the number of turns ordinal number of tensioning band, is innermost circle as n=1;Work as n=NkWhen, it is outmost turns.After winding, kth item The geometry of tensioning band and part external force such as Fig. 9 of effect.
The service condition of tensioning band is divided into following three kinds
(a)A type tensioning bands are used alone.Figure 10 is the stressing conditions of B2 type tensioning bands, and A type tensioning bands are B2 type tensioning bands Special case.
(b)B1, B2 or B3 type tensioning band is used alone.Figure 10 is the stressing conditions of B2 type tensioning bands, B1 and B3 type tensioning Band is the special case of B2 type tensioning bands.
(c)A type tensioning bands are used in combination with c-type guidance tape, and stress is shown in Figure 11.
#
Any type under three cases above uses following general-purpose computations for the n-th circle in k-th of tensioning band Formula
r′k,n=rk,n+tk(1)
rK, n+1=r 'k,n+ak(2)
=rk,n+tk+ak
σk,n·rk,n=σ 'k,n·r′k,n+Fk,n(3)
σ′k,n·r′k,nK, n+1·rK, n+1(4)
Fk,n·(rk,n+hk)=Fk,m·(rk,m+hk) (5)
tk=t0,k+t′k+t″k(6)
In formula
ak--- k-th tensioning band is A type tensioning bands, and when being used in combination with c-type guidance tape, the thickness of c-type guidance tape Degree(Referring to Figure 11).
tk--- the thickness of k-th of tensioning band.When tensioning band is B2 or B3 type tensioning bands, tkIn include the thickness of guidance tape Degree(Referring to Fig. 9,10,11).
rk,n--- the radius of the n-th circle inside in k-th of tensioning band(Referring to Figure 10,11);As n=1, can approximatively take rk,nFor the cylindrical body being wound(Or cylindrical body on the multi-diameter shaft being wound)Radius.
r′k,n--- the radius in the n-th circle outside in k-th of tensioning band(Referring to Figure 10,11).
σk,n--- the Normal compressive stress of the n-th circle inside in k-th of tensioning band(Referring to Figure 10,11);It is approximate as n=1 Think σ in groundk,nFor the cylindrical body being wound(Or cylindrical body on multi-diameter shaft)The Normal compressive stress applied by tensioning band.
σ′k,n--- the Normal compressive stress in the n-th circle outside in k-th of tensioning band(Referring to Figure 10,11);Work as n=NkWhen, institute Refer to that circle tensioning band and is in outmost turns, corresponding σ 'k,n=0。
Fk,n--- the n-th circle in k-th of tensioning band is distributed pulling force along the line of tensioning bandwidth directional spreding(Referring to figure 10,11).
hk--- the line distribution pulling force F of k-th of tensioning bandk,NDistance on the inside of tensioning band(Referring to Figure 10,11).
t0,k--- when k-th of tensioning band is B2 or B3 type tensioning bands, the thickness of A types tensioning band therein(Referring to Figure 10).
t′k--- when k-th of tensioning band is B2 or B3 type tensioning bands, the thickness of the fixed guidance tape in inside(Referring to figure 10).
t″k--- when k-th of tensioning band is B2 or B3 type tensioning bands, the thickness of the fixed guidance tape in outside(Referring to figure 10).
The serial number of the m circles of m --- k-th of tensioning band(Referring to Fig. 9).
The above parameter is chosen according to 1 rule of table
Formula(1~6)Middle parameter selection rule table 1
For all tensioning bands, the stretching force of outmost turns should balance each other, so
Outmost turns stretching force is applied to the sum of moment of flexure of graded axial type solid and is equal to zero, so
X in formulakThe resultant force P of outmost turns is taken for k-th of tensioningkPosition to an optional ladder shaft cross section away from From.
Outmost turns stretching force is applied to the sum of torque of graded axial type solid and is equal to zero, so
P in formulakFor the tensioning concentrated force of outermost layer tensioning band, αkIt is referred to as direction coefficient, they are determined by following formula respectively
According to general formula, it is clear that in tensioning band innermost circle, the radius towards axle center side is rK, 1, pressure σK, 1;In tensioning The outmost turns of band, outer radius areOutside pressure isIt is F that line, which is distributed pulling force,K, N, concentration pulling force is Pk
For multi-diameter shaft shape solid, when the ratio of the radius for winding thickness and cylinder of k-th of tensioning band is smaller, It may be assumed that the inner radius of each circle tensioning band is identical, be uniformly denoted as rk, according to formula(5)Corresponding line distribution pulling force Fk,nIn each circle Also all identical, it is denoted as Fk.Reduced mechanical model is accordingly
It, only need to be formula above for cylinder(1~11)In each tensioning band correspond to rk,1It is taken as identical value.
Design calculates step
(1)It determines quantity, type, geometric dimension and the arrangement form of tensioning band, while considering to meet formula(7,8,9)'s Constraint;
(2)With simplified formula(12)Estimate winding the number of turns of every tensioning band;
(3)With iterative formula and its correlation formula(1~6)Secondary calculating is carried out, the size of stretching force is adjusted;
(4)Examine balance, that is, whether meet formula(7,8,9)Constraint.
Description of the drawings
Fig. 1 is front view, it is schematically indicated the arrangement of tensioning band, the mode for winding cylindrical body, and with fixation The coupling method of device.
Fig. 2 is(It is corresponding with Fig. 1)A-A sectional views, it is schematically indicated the arrangement of tensioning band winds cylindrical body Mode, and the coupling method with fixing device.
Fig. 3 is front view, schematical to indicate multi-diameter shaft shape geometry shape.
Fig. 4 is the front view of multi-diameter shaft shape solid winding tensioning band, it is schematically indicated tensioning band and multi-diameter shaft shape are several The winding direction of position relationship, tensioning band between the relationship of what body, tensioning band, the method for numbering serial of tensioning band, tensioning band by Draw the symbol etc. of concentrated force.
Fig. 5 is four kinds of B1 types tensioning band cross-section diagrams, it is schematically indicated the tensioning band with interlayer guide function is machined with Longitudinal fin and groove.
Fig. 6 is two kinds of B2 types tensioning band cross-section diagrams for having interlayer guide function, it is schematically indicated A types tensioning band two sides Guidance tape is installed, cannot be slided between guidance tape and tensioning band.
Fig. 7 is that there is the B3 types of interlayer guide function to be oriented to tensioning band cross-section diagram, it is schematically indicated A type tensioning band one side Guidance tape in fixation cannot slide therebetween on stationary plane.
Fig. 8 is the cross-section diagram that A type tensioning bands are used in combination with c-type guidance tape, it is schematically indicated interlayer guidance method.
Fig. 9 is the geometry schematic diagram after the winding of kth bar tensioning band, and the tensioning band in figure can be A type tensioning bands Or B1, B2, B3 type tensioning band.
Figure 10 schematically shows the stress of the n-th layer of k-th of tensioning band, it is emphasized that A, B1 and B3 type tensioning band All it is the special case of B2 type tensioning bands.
Figure 11 is schematically shown, when A type tensioning bands are used in combination with c-type guidance tape, the n-th layer of k-th of tensioning band Stress.
Figure 12 is schematically shown, and is arranged symmetrically using four tensioning bands when the guidance method of both sides.
Figure 13 is the B1 types tensioning band cross-section diagram used in embodiment 2.
Figure 14 is the cylindrical body geometric dimension schematic diagram in embodiment 4
True example
Embodiment 1
One circular cross section metal tube, outer diameter are φ=400mm, and wherein length is one section of L=600mm, needs to apply Add radial pressure σK, 1=20.0MPa.The A type tensioning bands of known selection are the smooth steel band of wide uniform thickness, tensile strength fk= The thickness of 400MPa, steel are tk=0.5mm.The scheme that design is loaded with tensioning band.
Solution:
Step 1:Determine quantity, type, geometric dimension and the arrangement form of tensioning band
Tensioning band arrangement such as Figure 12, selects 4 tensioning bands, arranges from top to bottom, number and take k=1 successively, and 2,3,4, it is intermediate Two wrapped anti-clockwises, two wound clockwises at both ends, every width is all bk=145mm.Tensioning band is to be arranged symmetrically, and is adopted With both sides guidance method, 5 guide plates are set altogether, the thickness of each guide plate is 4mm.There are the gaps 5mm between tensioning band, this portion Divide no pressure effect.Four tensioning stick with glue with innermost layer end in the thin plate that a thickness is 0.5mm(4.1)On.
Step 2:Using reduced mechanical model estimation tensioning band the number of turns
N=1 is taken, brings simplified formula into(12), obtain
Further have
The max line allowed is distributed pulling force
Fk=tkfk=0.5mm × 400MPa=200mmMPa
Estimation winding the number of turns,
R in formulakTensioning is taken as with the radius on the inside of innermost circle, approximation is taken as metal pipe outside diameter.
Step 3:Secondary calculating is carried out using iterative formula
Table 2 is obtained by iterative calculation
The iterative formula result of calculation of embodiment 1(K=1,2,3,4)Table 2
Enclose serial number n rk,n(mm) r′k,n(mm) Fk,n(mm·MPa) σk,n(MPa)
20 209.5 210.0 195.9 0.9
19 209.0 209.5 196.3 1.9
18 208.5 209.0 196.8 2.8
17 208.0 208.5 197.3 3.8
16 207.5 208.0 197.8 4.7
15 207.0 207.5 198.2 5.7
14 206.5 207.0 198.7 6.7
13 206.0 206.5 199.2 7.7
12 205.5 206.0 199.7 8.7
11 205.0 205.5 200.2 9.7
10 204.5 205.0 200.6 10.7
9 204.0 204.5 201.1 11.7
8 203.5 204.0 201.6 12.7
7 203.0 203.5 202.1 13.7
6 202.5 203.0 202.6 14.8
5 202.0 202.5 203.1 15.8
4 201.5 202.0 203.6 16.8
3 201.0 201.5 204.1 17.9
2 200.5 201.0 204.6 19.0
1 200.0 200.5 205.2 20.0
The line distribution pulling force of the outmost turns of four tensioning bands is all in table
FK, 20=195.9mmMPa
The pulling force of the outmost turns of each tensioning band is taken as
Pk=Fkbk=195.9 (mmMPa) × 145mm=28405.5N=28.406kN
Step 4:Examine balance
Obviously, this design meets formula(7~9)Constraint requirements.
Embodiment 2
One metal circular tube outer diameter D=6000mm is to apply to this pipe in the section of 1200mm in the length of axis direction The radial pressure uniformly gradually increased, until radial pressure reaches 5.3MPa.Determine relevant parameter and the arrangement side of tensioning band Method, and provide pipe outer surface radial pressure σrWith the pulling force P of outermost layer tensioning bandkBetween relationship.
Solution:
Step 1:Determine quantity, type, geometric dimension and the arrangement form of tensioning band
B1 type tensioning bands are selected in design, it is that 1.0mm belt steel rollings form by thickness, and section is corrugated, fin height It is 1.0mm with gash depth, sees Figure 13.The filler material with cementing function is placed between tensioning band and pipe outer surface (Such as epoxy resin), i.e., tensioning band is bonded together with metal tube, and the groove part of tensioning band can be made also to apply pressure. Tensioning band is arranged symmetrically, and the parameter of corresponding band is as follows
Number is that the tensioning band of k=2 is arranged in centre.
Step 2:Using the number of turns for simplifying algorithm estimation tensioning band
According to formula, for k=1,2,3, have
Fk=tkfk=1.0mm × 500MPa=500mmMPa
R in formulakApproximation is taken as metal pipe outside diameter.In order to insure, the winding of 40 circles is chosen.
Step 3:Iterative calculation
According to iterative formula, obtained with numerical algorithm
The iterative formula result of calculation of embodiment 2(K=1,2,3)Table 3
Enclose serial number n rk,n(mm) r′k,n(mm) Fk,n(mm·MPa) σk,n(MPa)
40 3039.0 3040.0 1.00000000 0.000329164
30 3029.0 3030.0 1.00329979 0.003638746
20 3019.0 3020.0 1.00662142 0.00698123
10 3009.0 3010.0 1.00996512 0.010357018
2 3001.0 3002.0 1.01265612 0.0130819
1 3000.0 3001.0 1.01299350 0.013424037
It is obtained according to the result of calculation of upper table
σk,1=0.013420 (1/mm) × FK, 40
The sum of width of tensioning band is less than section of jurisdiction axial length, and the pressure of tensioning band is equably converted in entire pipe On.
Due to being to be arranged symmetrically, so σ3,11,1, P3=P1.The resultant force of 1st and the 3rd bar of tensioning band is radial with pipe respectively The relationship of pressure is
σ3,1=4.4747 × 10-5P3(MPa) (14)
B1It is responsible for applying the width range of equivalent pressure for the 1st tensioning band, is taken as 300mm.
The relationship of the resultant force and pipe radial pressure of 2nd bar of tensioning band is
B2It is responsible for applying the width range of equivalent pressure for the 2nd tensioning band, is taken as 600mm.
Formula(13~15)Middle σ1,1、σ2,1And σ3,1Unit be MPa, P1、P3And P2Unit be N.
Step 4:Examine balance
According to requiring σ3,11,12,1, then by formula(13~15), there is P3+P1=P2, so formula(7)Meet.
Due to N1=N2=N3=40, t1=t2=t3=1.0mm, soFurther haveSo formula(9)Meet.
Again due to being to be arranged symmetrically, so formula(8)Meet.
Embodiment 3
The length of one pipe outer diameter D=6000mm, axis direction are 1200mm, are uniformly gradually increased to the application of this pipe Radial pressure, until radial pressure reaches 5.3MPa.Coordinated using A type tensioning bands and c-type guidance tape.It please determine tensioning band Relevant parameter and method for arranging, and provide pipe outer surface radial pressure σrWith the pulling force P of outermost layer tensioning bandkBetween relationship.
Solution:
Step 1:Determine quantity, type, geometric dimension and the arrangement form of tensioning band
Use the thickness of A type tensioning bands for 4mm, the thickness of c-type guidance tape web is cK, 0=1.0mm, c-type guidance tape two The distance that side fin is higher by web surface is cK, 1=ck,2=1.5mm(k=1,2,3;With reference to Fig. 8).It designs tensioning band and shares three Item is arranged symmetrically, and end is bonded in pipe surface.Relevant parameter is as follows
K=1, clockwise, t1=4.0mm, a1=1.0mm,b1=295mm,r1,1=6000mm, f1=100MPa
K=2, counterclockwise, t2=4.0mm, a2=1.0mm,b2=590mm,r2,1=6000mm, f2=100MPa
K=3, clockwise, t3=4.0mm, a3=1.0mm,b3=295mm,r3,1=6000mm, f3=100MPa
The tensioning band of k=2 is in centre.
The max line that every tensioning band can be born is distributed pulling force
Fk=tkfk=t1f1=4.0mm × 100MPa=400mmMPa
Step 2:Using the number of turns for simplifying algorithm estimation tensioning band
Take 40 circles.
Step 3:Secondary calculating and adjustment
Table 4 is calculated using iterative formula, then obtains following formula from table
σrK, 1=0.013671382 (1/mm) × FK, 40
When radial pressure reaches 5.3MPa, corresponding line distribution pulling force is
The intensity of tensioning band is met the requirements.
The iterative formula result of calculation of embodiment 3(K=1,2,3)Table 4
Enclose serial number n rk,n(mm) r′k,n(mm) Fk,n(mm·MPa) σk,n(MPa)
40 3195.0 3199.0 1.00000000 0.000312989
30 3145.0 3149.0 1.01588815 0.003519723
20 3095.0 3099.0 1.03228931 0.006871736
10 3045.0 3049.0 1.04922875 0.010377428
9 3040.0 3044.0 1.05095332 0.01073679
8 3035.0 3039.0 1.05268357 0.011097789
7 3030.0 3034.0 1.05441953 0.011460433
6 3025.0 3029.0 1.05616122 0.011824731
5 3020.0 3024.0 1.05790867 0.012190694
4 3015.0 3019.0 1.05966192 0.012558331
3 3010.0 3014.0 1.06142098 0.012927651
2 3005.0 3009.0 1.06318590 0.013298665
1 3000.0 3004.0 1.06495670 0.013671382
Step 4:Examine balance
Due to being to be arranged symmetrically, it is clear that meet formula(7~9)Constraint.
Embodiment 4
Multi-diameter shaft shape object such as Figure 14 of one high molecular material, section are circle, need to apply lateral pressure.Each portion Point number k, target compression stress ot to be achievedk,1(k=1,2,3)And geometric dimension is as follows
ABCD:k=1,σ1,1=40MPa, length=300mm, diameter=400mm, r1,1=200mm
EFGH:k=2,σ2,1=30MPa, length=240mm, diameter=500mm, r2,1=250mm
IJKL:k=3,σ3,1=40MPa, length=300mm, diameter=400mm, r2,1=200mm
Design the pulling force of the method for arranging and application of tensioning band.
Solution:
Step 1:Determine quantity, type, geometric dimension and the arrangement form of tensioning band
EFGH sections of tensioning band wound clockwises, select B1 type tensioning bands, thickness t2=1.0mm, width are taken as b2= 240mm, tensile strength f allowable2=400MPa.ABCD sections and IJKL sections of tensioning band wrapped anti-clockwises, choose B1 type tensioning bands, Width is taken as b1=b3=295mm, tensile strength f allowable1=f3=400MPa, thickness and winding the number of turns are undetermined, but meet t1 =t3, N1=N3.Three tensioning bands are all adhered directly onto the side of multi-diameter shaft.
Step 2:Estimation tensioning band winds the number of turns
The line distribution pulling force of EFGH sections of tensioning band is taken as
F2=t2f2=1.0mm × 400MPa=400mmMPa
Winding the number of turns is accordingly for estimation
By formula(7 and 8),
Further according to symmetry, obtain
It finally obtains
r1,1+(N1-0.5)t1=r3,1+(N3-0.5)t3=r2,1+(N2-0.5)t2
By simplifying formula
In formula, r is taken1=r1,1, r3=r3,1, r2=r2,1.Further, it obtains
Finally it is chosen for N2=19 circles, N1=42 circles, obtain
Step 3:Secondary calculating and adjustment
Secondary calculating, which is carried out, with iterative formula obtains table 4 and table 5.As k=1,3, final choice t1=t3=1.5mm, N1 =N3=46 circles, FIsosorbide-5-Nitrae 6The corresponding radial compressive stresses of=151.67MPamm are σr1,13,1=39.78MPa, closely It is required that the numerical value 40MPa reached.As k=2, t2=1.0mm, N2=19 circles, F2,19=379.17MPamm is radially pressed accordingly Stress is σr2,1=29.8MPa closely requires the numerical value 30MPa reached.
Step 4:Examine balance
It checks whether to meet formula(7).
P2=b2F2,19
=379.17mm × 240MPamm
=91000.8N
P1=b1FIsosorbide-5-Nitrae 6
=300mm × 151.67MPamm
=45501.0N
2P1=2 × 4550.1N
=91002.0N
≈P2
Obvious formula(7)Meet.
It checks whether to meet formula(8).Due to r 'Isosorbide-5-Nitrae 6=r '2,46=r′3,19, P1+P3≈P2, so
Formula(8)Meet.
It checks whether to meet formula(9).Due to being to be arranged symmetrically, so the pulling force of tensioning band applies multi-diameter shaft shape solid Moment of flexure be also balance.
The iterative formula result of calculation of ABCD sections and IJKL sections of cylinder stress in embodiment 4(k=1,3)Table 4
The iterative formula result of calculation of EFGH sections of cylinder stress in embodiment 4(k=2)Table 5
Enclose serial number n rk,n(mm) r′k,n(mm) Fk,n(mm·MPa) σk,n(MPa)
19 268.0 269.0 379.17 1.41
10 259.0 260.0 392.32 14.89
9 258.0 259.0 393.83 16.48
8 257.0 258.0 395.36 18.08
7 256.0 257.0 396.91 19.70
6 255.0 256.0 398.46 21.34
5 254.0 255.0 400.02 23.00
4 253.0 254.0 401.60 24.68
3 252.0 253.0 403.19 26.37
2 251.0 252.0 404.80 28.09
1 250.0 251.0 406.41 29.83

Claims (16)

1. a kind of method applying compression for cylindrical body or by the multi-diameter shaft shape geometry body side surface that multiple cylindrical bodies form, It is characterized in that, including:
(1) quantity, width and the arrangement of wound clockwise tensioning band and wrapped anti-clockwise tensioning band are determined;
(2) type and tensioning carrying material of the guidance method of selection tensioning band, tensioning band,
The guidance method of tensioning band includes,
A. interlayer guidance method,
B. both sides guidance method;
The type of tensioning band includes,
A.A type tensioning bands, the width and thickness of tensioning band do not change, and two surfaces be it is smooth,
B.B type tensioning bands, itself has interlayer guide function, includes tri- kinds of forms of B1, B2 and B3,
B1 type tensioning bands (2.21), this tensioning band are being machined with out fin and groove along length direction, one side when winding Fin is fairly fallen in the groove of another side,
B2 type tensioning bands (2.22), it is to fix upper guidance tape (3.11,3.12) respectively on the two sides of A type tensioning bands, is being wound When with tensioning, the fin of a guidance tape is just fallen between the groove of another guidance tape, the tensioning on two stationary plane both sides It cannot all occur to slide relatively between band and guidance tape,
B3 type tensioning bands (2.23), it is to fix upper guidance tape (3.2) in the inner or outer side of A type tensioning bands (2.1), is being wound When with tensioning, A type tensioning bands (2.1) are just fallen between the fin on guidance tape width direction both sides, the tensioning on stationary plane both sides Opposite slide cannot occur between band and guidance tape;
C. with the A type tensioning bands of c-type guidance tape being used in combination, the section of c-type guidance tape is I-steel shape, in width direction Both sides have fin, A type tensioning bands one side place c-type guidance tape, A types tensioning band is just fallen in guidance tape after winding Two fins between;When winding tensioning, two surfaces of tensioning band and two surfaces of guidance tape are all in direct contact, and can phase To sliding;
The material of tensioning band includes,
A. continuous homogeneous material,
B. braided material,
C. laminar composite;
(3) tensioning band innermost layer end is connected on an independent fixing device (4.1), or is directly anchored to cylindrical body (5) side or multi-diameter shaft shape solid (6) side being made of multiple cylindrical bodies;
(4) lubricant is coated on surface of the tensioning with sliding surface, or smears the substance with lubricating action, or place lubrication Band, to reduce the interfacial friction after the winding of tensioning band;
(5) tensile strength, winding the number of turns, length and the weight range of each tensioning band are determined;
(6) tensioning band is wrapped in the side of cylindrical body or the multi-diameter shaft shape solid being made of multiple cylindrical bodies, if tensioning One end of band is connected in independent fixing device, the tensioning band of coupling part is placed on the innermost layer of winding;
(7) to tensioning band outermost layer apply pulling force, resulting compression can proportionally be applied to cylindrical body or by The side of the multi-diameter shaft shape solid of multiple cylindrical body compositions.
2. method according to claim 1, it is characterized in that, the cylindrical body is cylinder, prism or elliptic jet cylinder; Or
The three-dimensional geometry body of cross sectional shape evagination, each cross sectional shape perpendicular to axis is identical, and section outer contour is by straight The curve of line and evagination forms, and is to overlap in the projection formed along axis direction;Or
Cross sectional shape has the three-dimensional geometry body of recess, they wind institute in each plane perpendicular to its axis with soft filament Obtained figure is to overlap or almost overlap in the projection formed along axis direction;
Described cylindrical body is solid or with cavity.
3. method according to claim 1, it is characterized in that, the diameter for the cylindrical body that the thickness of the tensioning band is wound with it Proportional region is 1:400000 to 1:4.
4. method according to claim 1, it is characterized in that, the diameter for the cylindrical body that the thickness of the tensioning band is wound with it Proportional region is 1:200 to 1:20.
5. method according to claim 1, it is characterized in that, the both sides guidance method is the tensioning band of winding at every The both sides of width direction,
One piece of baffle (7) perpendicular to cylindricality body axis is set;Or
Polylith baffle is set, they are at the side of close tensioning band at one in the plane of cylindricality body axis;Or
Other shapes of object is set, they are at the side of close tensioning band in a plane perpendicular to cylindricality body axis On.
6. method according to claim 1, it is characterized in that, the A types tensioning band prevents from breakking away using both sides guidance method.
7. method according to claim 1, characterized in that the continuous homogeneous material includes continuous homogeneous metal material Or continuous homogeneous high molecular material.
8. method according to claim 1, characterized in that the braided material includes:
Metal web, metal fiber cloth, carbon fibre web, carbon cloth, glass fiber mesh, glass fabric, chemical fiber web Or chemical fiber cloth.
9. method according to claim 1, characterized in that layered composite material includes:
Using one or more fibers in carbon fiber, glass fibre, metallic fiber and chemical fibre as the stratiform of reinforcing material Composite material, matrix are metal material, high molecular material or inorganic non-metallic material.
10. method according to claim 9, characterized in that layered composite material includes:
Carbon fiber plastic cloth, carbon fiber rubberized fabric, fiberglass plastic cloth, glass fibre rubberized fabric, metallic fiber plastic cloth, gold Belong to fiber rubber cloth, chemical fibre plastic cloth or chemical fibre rubberized fabric.
11. method according to claim 1, it is characterized in that, the tensioning is the method for meeting the following conditions with method for arranging: When the pulling force for tensioning band being stretched device application is considered as external force, the resultant force of these external force is equal to zero or no better than zero; The cylindrical body or multi-diameter shaft shape solid that these external force wind the tensioning band are winding any section except section, produce Raw torque is zero or almost nil, and the algebraical sum of the moment of flexure of generation is zero or almost nil.
12. according to claim 1 or 11 the methods, it is characterized in that, the tensioning band method for arranging is hung down if there is one It is directly symmetrical about the plane in its winding area in the plane of axis, cylindrical body or the multi-diameter shaft shape solid being made of cylindrical body, Symmetrical method for arranging is then used when arranging tensioning band, that is, the geometric dimension of tensioning band, spatial position, winding direction is allowed to twine It is all symmetrical about the plane around the number of turns, the direction of stress and stress size.
13. method according to claim 1, it is characterized in that, the applicable pressure range of the method is larger, is applied to and is opened The compression of the body surface of drawstring winding can reach 40MPa.
14. method according to claim 1, it is characterized in that, with the tensioning band to be wound side of the object apply it is stressed Quantitative design computational methods include:
(1) when determining quantity, type, geometric dimension, tensile strength, guidance method and the arrangement form of tensioning band, to consider Equilibrium problem, i.e., the multi-diameter shaft shape solid that all tensioning are formed with outermost layer pulling force to cylinder or by cylinder twine Part except area, the shearing and axle power of generation are respectively that zero or difference are almost nil, and the moment of flexure of generation is zero or is almost Zero, the torque of generation is zero or almost nil;
(2) winding the number of turns of every tensioning band is estimated with simplified formula;Simplifying formula is
Wherein
K --- the serial number of tensioning band;
The number of plies serial number of n --- tensioning band;
σk,n--- the Normal compressive stress of the n-th circle inside in k-th of tensioning band;
Nk--- the number of turns that k-th of tensioning band is wound in total;
Fk--- when k-th of tensioning band approximatively thinks that each layer radius is identical, it is distributed and draws along the line of tensioning bandwidth directional spreding Power;
rk--- k-th of tensioning band approximatively thinks the radius chosen when each layer radius is identical;
(3) secondary calculating is carried out with iterative formula, adjusts the size of tensioning tensile force of belt, determines cylindrical body side pressure and tensioning band Coefficient between outermost layer pulling force;Iterating to calculate formula is
r′k,n=rk,n+tk
rk,n+1=r 'k,n+ak
=rk,n+tk+ak
σk,nrk,n=σ 'k,nr′k,n+Fk,n
σ′k,nr′k,nk,n+1rk,n+1
Fk,n(rk,n+hk)=Fk,m(rk,m+hk)
tk=t0,k+t′k+t″k
In formula
ak--- k-th tensioning band is A type tensioning bands, and when being used in combination with c-type guidance tape, the thickness of c-type guidance tape;
tk--- the thickness of k-th of tensioning band;When tensioning band is B2 or B3 type tensioning bands, tkIn include the thickness of guidance tape;
rk,n--- the radius of the n-th circle inside in k-th of tensioning band;
r′k,n--- the radius in the n-th circle outside in k-th of tensioning band;
σk,n--- the Normal compressive stress of the n-th circle inside in k-th of tensioning band;
σ′k,n--- the Normal compressive stress in the n-th circle outside in k-th of tensioning band;
Fk,n--- the n-th circle in k-th of tensioning band is distributed pulling force along the line of tensioning bandwidth directional spreding;
--- outmost turns in k-th of tensioning band are distributed pulling force along the line of tensioning bandwidth directional spreding;
Nk--- the number of total coils of k-th of tensioning band winding;hk--- the line of k-th of tensioning band is distributed pulling forceTo on the inside of tensioning band Distance;
t0,k--- when k-th of tensioning band is B2 or B3 type tensioning bands, the thickness of A types tensioning band therein;
t′k--- when k-th of tensioning band is B2 or B3 type tensioning bands, the thickness of the fixed guidance tape in inside;
t″k--- when k-th of tensioning band is B2 or B3 type tensioning bands, the thickness of the fixed guidance tape in outside;
bk--- the width of k-th of tensioning band;
The serial number of the m circles of m --- k-th of tensioning band;
Pk--- the tensioning concentrated force of outermost layer tensioning band;
(4) balance is examined, larger, repetition step (1)~(3) are balanced if deviateed.
15. the device that a kind of method as described in one of claim 1~14 uses, which is characterized in that described device includes:
(1) the tensioning band of wound clockwise and wrapped anti-clockwise is carried out to cylindrical body;
(2) fixing device that end of the tensioning of winding with innermost layer is linked together, when tensioning band is directly coupled to cylindricality When on body, independent fixing device can be not provided with;
(3) material of the reduction frictional force after every tensioning band winding between each layer, which, which is chosen as directly being applied to, opens The lubricant on drawstring surface, or
Other substances for having lubricating action, or
It is placed on the lubrication belt of tensioning belt surface;
(4) it can be to be arranged in tensioning band to prevent guider of the tensioning with lateral sliding in winding cinching process, guider The guide plate of width direction both sides, or
Tensioning band with interlayer guide function itself;
When applying pulling force to tensioning band outermost layer, tensioning proportionally applies pressure for the side of cylindrical body with innermost layer and answers Power.
16. according to claim 15 described device, it is characterized in that, the tensioning band with interlayer guide function is B1 types, B2 Type, B3 type tensioning bands, or the A type tensioning bands that are used in combination with c-type guidance tape.
CN201210394357.3A 2012-10-17 2012-10-17 Apply the device and method of compression to cylindrical body or multi-diameter shaft shape geometry body side surface Expired - Fee Related CN103776691B (en)

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