CN101266206B - Enwinding fibre and mandrel surface friction coefficient measurement method - Google Patents

Enwinding fibre and mandrel surface friction coefficient measurement method Download PDF

Info

Publication number
CN101266206B
CN101266206B CN2008100644554A CN200810064455A CN101266206B CN 101266206 B CN101266206 B CN 101266206B CN 2008100644554 A CN2008100644554 A CN 2008100644554A CN 200810064455 A CN200810064455 A CN 200810064455A CN 101266206 B CN101266206 B CN 101266206B
Authority
CN
China
Prior art keywords
core
winding
fiber
latitude circle
radius
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired - Fee Related
Application number
CN2008100644554A
Other languages
Chinese (zh)
Other versions
CN101266206A (en
Inventor
赫晓东
王荣国
矫维成
刘文博
杨帆
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Harbin Institute of Technology
Original Assignee
Harbin Institute of Technology
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Harbin Institute of Technology filed Critical Harbin Institute of Technology
Priority to CN2008100644554A priority Critical patent/CN101266206B/en
Publication of CN101266206A publication Critical patent/CN101266206A/en
Application granted granted Critical
Publication of CN101266206B publication Critical patent/CN101266206B/en
Expired - Fee Related legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Abstract

The invention provides a measuring method of the frictional coefficient between the winding fiber and core formwork surface, belonging to fibre winding moulding composite material manufacturing technology, in order to solve the problem that there is a big frictional coefficient error between the winding fiber and core formwork surface. The measuring process comprises: producing the core formwork;measuring the frictional coefficient u(r) between the fiberous belt and outer surface of the core formwork, and mounting the designed core formwork on the fiber winding machine; winding the fiberous belt on the core formwork along the direction of the generating line by fiber winding machine performing the uniform rate rotary motion and the fiber spout performing the uniform rate rectilinear motion, when the fiberous belt winds on one site and skids, the numerical value at the said site R is determined and inserted into the above formula to obtain the frictional coefficient u(r) of the site. The invention measures the frictional coefficient using the core formwork designed in advance and the stability can be ensured only by simply mechanical control and the error is reduced.

Description

Twine the measuring method of friction factor between fiber and mandrel surface
Technical field
The present invention relates to fiber winding forming manufacture technology of composite material field, be specifically related to a kind of measuring method of twining friction factor between fiber and mandrel surface.
Background technology
Since nineteen forty-six U.S.'s invention continuous fiber winding shaping process technology, the winding process goods have obtained constantly improving and development.This initial at aerospace field composite applications goods, nowadays be widely used in each big field.Divide from the fiber winding path, winding product can be divided into substantially: geodesic line winding product and non-geodesic curve winding product two big classes.Geodesic line winding process fiber track length is the shortest, and quality of item is lighter relatively.But owing to be subjected to the influence of goods geometric configuration, geodesic line winding shaping process limitation is bigger.By contrast, the relative design space of non-geodesic curve winding product is just more wide, except being fit to general rotational symmetry solid of revolution, can also some specific (special) requirements of moulding and the goods of complicated shape, such as the transition section winding of isostension pressure vessel, cylindrical pressure vessel, bend pipe etc., and biggest advantage is the optimal design that can carry out varied angle according to load-up condition to winding product.Yet, the planning and design that non-geodesic curve twines fiber track require will have between winding fiber and core clear and definite friction co-efficient value reliably, judge whether stable, the slip not of non-geodesic curve winding path with this, and then the calculating of carrying out winding angle is found the solution and the planning and design of line style.
Therefore how to obtain reliable practical again friction factor, will directly have influence on design, the moulding of non-geodesic curve winding product.Consult domestic and international pertinent literature, as can be known at present about the friction coefficient measurement method between fiber and core of twining summarize mainly contain following several: 1. adopt cylindrical core, obtain friction factor by changing winding angle up to the fiber slip in the measuring process.Make this method complex operation owing to will constantly change winding angle, error is bigger, and the final friction co-efficient value error that obtains is bigger; 2. adopt the broadening formation core, apply two different power in the measuring process, increase one of them power value, obtain friction factor until the fiber slip.Owing to be difficult to apply the winding process parameter, make that this method and actual winding process gap are bigger, and operate and waywardly make that the measured value precision is difficult to control; 3. adopt board device or slope method, core is constantly tilted, after reaching certain angle, cause fiber to skid and obtain friction factor.This method is carried out the measurement of friction factor from the angle of physics, equally also is to be difficult to apply the winding process parameter, makes itself and actual winding process gap bigger, and measuring error is bigger.
Summary of the invention
The objective of the invention is to solve existing method and measure the big problem of friction factor error between winding fiber and the mandrel surface, design a kind of measuring method of twining friction factor between fiber and mandrel surface.
Measuring process of the present invention is:
One, make core, process is as follows:
Step 1 is decided the numerical value of the maximum latitude circle radius R of core according to actual needs;
Step 2 is asked the numerical value of constant C:
During r=0, μ (r)=1 is with this group numerical value substitution formula In, try to achieve constant C;
Step 3 is asked the value of L, and when f (r)=0, r=L is with f (r)=0, constant C substitution formula In try to achieve L;
Step 4 is according to formula Whenever getting a r tries to achieve corresponding latitude circle radius f (r) (0≤r≤L), the bus track of core is determined like this, makes core;
R is the maximum latitude circle radius of core;
C is a constant;
F (r) is the core outside surface latitude circle radius of any arbitrarily;
R is that radius is the latitude circle of f (r) and the distance between the maximum latitude circle;
L is that radius is a distance between zero latitude circle and the maximum latitude circle;
μ (r) for fabric strip when the latitude circle radius is f (r) and the friction factor between the core outside surface;
Two, the coefficientoffriction (r) between measurement fabric strip and the core outside surface, its step is poly-as follows:
Step 1 with the core clamping that designs the scroll chuck of fiber winding machine and top between;
The step 2 fiber winding machine is the uniform speed rotation, the silk mouth is done linear uniform motion from the maximum latitude circle side direction opposite side of core, direction of motion is parallel to the axial line of core, and the fabric strip hoop that applies certain winding tension and be soaked with resin is wound on the core, and this moment, winding angle θ got pi/2;
When step 3 was wound into certain point when the fabric strip that applies certain winding tension, the fiber on the core began to skid, and determines the numerical value of this some r of place, the substitution formula Try to achieve the coefficientoffriction (r) of this point, this friction factor is that fabric strip is along the minimized friction coefficient between winding of core generatrix direction and mandrel surface.
Advantage of the present invention is: core of the present invention is under the situation of fixing winding angle, and fabric strip is along satisfying linear relationship apart from r between the coefficientoffriction (r) of core generatrix direction arbitrfary point and this place's latitude circle and the maximum latitude circle.The advantage of utilizing this core to carry out friction coefficient measurement is only to need just can guarantee measuring stability by simple machinery control, reduces error.
Description of drawings
Fig. 1 is a structural representation of the present invention, and Fig. 2 is a solid of revolution curved surface Representative Volume Element synoptic diagram.
Embodiment
Embodiment one: present embodiment is described below in conjunction with Fig. 1, the present invention designs a novel core, provide a kind of and can accurately measure the method for twining friction factor between fiber and mandrel surface, for non-geodesic curve fiber winding forming technology provides design parameter, and cost is low, and is simple and easy to do.
Measuring process of the present invention is:
One, make core 1, process is as follows:
Step 1 is decided the numerical value of core 1 maximum latitude circle radius R according to actual needs;
Step 2 is asked the numerical value of constant C:
During r=0, μ (r)=1 is with this group numerical value substitution formula In, try to achieve constant C;
Step 3 is asked the value of L, and when f (r)=0, r=L is with f (r)=0, constant C substitution formula In try to achieve L;
Step 4 is according to formula Whenever getting a r tries to achieve corresponding latitude circle radius f (r) (0≤r≤L), the bus track of core 1 is determined like this, makes core 1;
R is the maximum latitude circle radius of core 1;
C is a constant;
F (r) is the core 1 outside surface latitude circle radius of any arbitrarily;
R is that radius is the latitude circle of f (r) and the distance between the maximum latitude circle;
L is that radius is a distance between zero latitude circle and the maximum latitude circle;
μ (r) for fabric strip 2 when the latitude circle radius is f (r) and the friction factor between core 1 outside surface;
Two, the coefficientoffriction (r) between measurement fabric strip 2 and core 1 outside surface, its step is poly-as follows:
Step 1 with core 1 clamping that designs the scroll chuck of fiber winding machine and top between;
The step 2 fiber winding machine is the uniform speed rotation, silk mouth 3 is done linear uniform motion from the maximum latitude circle side direction opposite side of core 1, direction of motion is parallel to the axial line of core 1, fabric strip 2 hoops that apply certain winding tension and be soaked with resin are wound on the core 1, and this moment, winding angle θ got pi/2;
When step 3 was wound into certain point when the fabric strip 2 that applies certain winding tension, the fiber on the core 1 began to skid, and determines the numerical value of this some r of place, the substitution formula Try to achieve the coefficientoffriction (r) of this point, this friction factor is that fabric strip 2 is along the minimized friction coefficient between winding of core 1 generatrix direction and core 1 surface.
If adopt the numerical control fiber winding machine, the coordinate of the point of slippage obtains easily according to numerical control program, determines the numerical value of r afterwards; If do not adopt the numerical control fiber winding machine, the r value of the point of slippage can be by obtaining with the yardstick amount.
The model that above-mentioned fiber winding machine is selected for use is a HG-2 jet pipe large-sized numerical control fiber winding machine.
Silk mouth 3 be fiber winding machine from tape member, it is along the orbital motion that is parallel to core 1 axial line, its major function is to allow fabric strip 2 pass therethrough, with location fabric strip 2 to the line direction.
Core design concept of the present invention:
Twine for the non-geodesic curve fiber, the stable not condition of slip of fiber track is
μ ≥ | k g k n | Formula one
Wherein, μ---friction factor;
k g---the geodesic curvature of core 1 curved surface;
k n---the normal direction curvature of core 1 curved surface.
By differential geometric knowledge as can be known, the parametric equation for any solid of revolution curved surface S (as shown in Figure 2) is
S (r, v)={ f (r) cosv, f (r) sinv, r} formula two
Wherein, and S (r, v)---any solid of revolution curved surface;
R, v---surface coordinates, wherein r is that radius is the latitude circle of f (r) and the distance between the maximum latitude circle, v is the projection of bus f (r) in x, y plane and the angle of x axle;
F (r)---solid of revolution bus equation, f (r)>0 is again the core 1 outside surface latitude circle radius of any arbitrarily;
The first kind fundamental quantity of trying to achieve this surface of revolution is:
E=1+f 2(r) F=0 G=f 2(r) formula three
The second class fundamental quantity is:
L = f ′ ′ ( r ) E M=0 N = - f ( r ) E Formula four
E, F, the first kind fundamental quantity of G---parametric surface;
L, M, the second class fundamental quantity of N---parametric surface;
According to Euler's formula
k n = L E cos 2 θ + N g sin 2 θ Formula five
Trying to achieve its normal direction curvature is
k n = f ′ ′ ( r ) cos 2 θ E 3 / 2 - sin 2 θ f ( r ) E 1 / 2 Formula six
Geodesic curvature is arranged again
k g = - cos θ E · dθ du - f ′ ( r ) f ( r ) · E sin θ Formula seven
Formula six and formula seven substitution formula one are obtained
| f ′ ( r ) sin θ + f ( r ) cos θ dθ dr | sin 2 θ - f ′ ′ ( r ) f ( r ) cos 2 θ 1 + f ′ 2 ( r ) = μ ( r ) Formula eight
In the formula, θ---winding angle, radius are angle between the latitude circle place fiber track of f (r) and bus;
F ' (r), f " (r)---be respectively first order derivative and the second derivative of asking bus equation f (r).
Make winding angle θ=pi/2, under the situation that this hoop twines, formula eight is simplified.So just directly set up the relation between the coefficientoffriction (r) between core 1 latitude circle radius f (r) and this latitude circle place fabric strip 2 and core 1 outside surface, promptly
-f ' (r)=μ (r) formula nine
By coefficientoffriction (r) ∈ (0,1] interval, correspondingly f (r) ∈ (R, 0] (R is the maximum latitude circle radius of core 1).So have:
- f ′ ( r ) = 1 - f ( r ) R Formula ten
Find the solution
f ( r ) = R - e ( r R + C ) Formula 11
μ ( r ) = 1 - R - e ( r R + C ) R Formula 12
In the formula, the distance between r---the latitude circle of radius f (r) and the maximum latitude circle of core 1;
C---constant.
Fabric strip 2 is along satisfying linear relationship apart from r between the coefficientoffriction (r) of core 1 generatrix direction arbitrfary point and this place's latitude circle and the maximum latitude circle.

Claims (1)

1. twine the measuring method of friction factor between fiber and mandrel surface, it is characterized in that its measuring process is:
One, make core (1), process is as follows:
Step 1 is decided the numerical value of the maximum latitude circle radius R of core (1) according to actual needs;
Step 2 is asked the numerical value of constant C:
During r=0, μ (r)=1 is with this group numerical value substitution formula In, try to achieve constant C;
Step 3 is asked the value of L, and when f (r)=0, r=L is with f (r)=0, constant C substitution formula In try to achieve L;
Step 4 is according to formula Whenever getting a r tries to achieve corresponding latitude circle radius f (r) (0≤r≤L), the bus track of core (1) is determined like this, makes core (1);
R is the maximum latitude circle radius of core (1);
C is a constant;
F (r) is core (1) the outside surface latitude circle radius of any arbitrarily;
R is that radius is the latitude circle of f (r) and the distance between the maximum latitude circle;
L is that radius is a distance between zero latitude circle and the maximum latitude circle;
μ (r) for fabric strip (2) when the latitude circle radius is f (r) and the friction factor between core (1) outside surface;
Two, the coefficientoffriction (r) between measurement fabric strip (2) and core (1) outside surface, its step is poly-as follows:
Step 1 with core (1) clamping that designs the scroll chuck of fiber winding machine and top between;
The step 2 fiber winding machine is the uniform speed rotation, silk mouth (3) is done linear uniform motion from the maximum latitude circle side direction opposite side of core (1), direction of motion is parallel to the axial line of core (1), fabric strip (2) hoop that applies certain winding tension and be soaked with resin is wound on the core (1), and this moment, winding angle θ got pi/2;
When step 3 was wound into certain point when the fabric strip that applies certain winding tension (2), the fiber on the core (1) began to skid, and determines the numerical value of this some r of place, the substitution formula Try to achieve the coefficientoffriction (r) of this point, this friction factor is that fabric strip (2) is along the minimized friction coefficient between winding of core (1) generatrix direction and core (1) surface.
CN2008100644554A 2008-05-07 2008-05-07 Enwinding fibre and mandrel surface friction coefficient measurement method Expired - Fee Related CN101266206B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN2008100644554A CN101266206B (en) 2008-05-07 2008-05-07 Enwinding fibre and mandrel surface friction coefficient measurement method

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN2008100644554A CN101266206B (en) 2008-05-07 2008-05-07 Enwinding fibre and mandrel surface friction coefficient measurement method

Publications (2)

Publication Number Publication Date
CN101266206A CN101266206A (en) 2008-09-17
CN101266206B true CN101266206B (en) 2010-06-09

Family

ID=39988775

Family Applications (1)

Application Number Title Priority Date Filing Date
CN2008100644554A Expired - Fee Related CN101266206B (en) 2008-05-07 2008-05-07 Enwinding fibre and mandrel surface friction coefficient measurement method

Country Status (1)

Country Link
CN (1) CN101266206B (en)

Families Citing this family (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103383342A (en) * 2013-06-25 2013-11-06 山东鲁普科技有限公司 Measuring device for rope friction coefficient and measuring method thereof
CN104999674B (en) * 2015-08-07 2017-09-29 哈尔滨玻璃钢研究院 A kind of major diameter hemisphere fibrous composite winding method
CN106442310A (en) * 2016-09-30 2017-02-22 天津工业大学 Filament and yarn friction coefficient tester

Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1911633A (en) * 2006-08-31 2007-02-14 哈尔滨工业大学 Shaping method of non-geodesic curve winding composite gyrorotor based on unified precision mould

Patent Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1911633A (en) * 2006-08-31 2007-02-14 哈尔滨工业大学 Shaping method of non-geodesic curve winding composite gyrorotor based on unified precision mould

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
苏红涛等.非测地线缠绕稳定条件和缠绕工艺性的判别.复合材料学报15 2.1998,15(2),130-135.
苏红涛等.非测地线缠绕稳定条件和缠绕工艺性的判别.复合材料学报15 2.1998,15(2),130-135. *

Also Published As

Publication number Publication date
CN101266206A (en) 2008-09-17

Similar Documents

Publication Publication Date Title
CN101266206B (en) Enwinding fibre and mandrel surface friction coefficient measurement method
CN103669429B (en) Based on the circular solids concrete pile pile strain monitoring method of FBG sensor
CN102695938A (en) Optical position and/or shape sensing
CN103486989A (en) Guy cable type spatial position measurement mechanism and method
CN102940333B (en) Original number tailoring method for clothing armhole
Van Ravenhorst et al. A yarn interaction model for circular braiding
CN107560534A (en) Wireless movement monitoring system and method based on 3D printing Yu crooked sensory technology
CN102152474A (en) Control method of filament winding constant tension of no-gyrating bodycomposite material member
CN107860313A (en) It is a kind of based on the beveled gear teeth of line-structured light to bias measurement method
CN101349554A (en) Non-communicating view point conductor bar and its use method
CN106769489A (en) For the frock of flat filament tensile test of weaving
CN105222670A (en) A kind of method that sebific duct braiding line is quantitative
CN104697423B (en) The gauge and measuring method of counterbore angle
CN102661750B (en) Method for reeling fiber-optic gyroscope
CN104930954A (en) Variable data measurement device
CN204514252U (en) The gauge of counterbore angle
CN209117173U (en) Shafting vibration measuring system
CN1988366A (en) Control method and system for rolling iron core forming non-round winding rotary speed of power transmission and distribution transformer
CN206387388U (en) A kind of prepreg thickness detection apparatus
CN104999654B (en) The winding mandrel and fibrous composite winding method of a kind of turnable semiaxis
CN104807389B (en) A kind of spiral angle measuring method of spiral bevel gear
CN204740023U (en) Two tapered fiber angular transducer
CN105059020B (en) The instrument and its application method of a kind of circumference in equal parts
EP2790893B1 (en) Blown film scanning method
CN207215179U (en) A kind of vector crooked sensory device based on four-core fiber

Legal Events

Date Code Title Description
C06 Publication
PB01 Publication
C10 Entry into substantive examination
SE01 Entry into force of request for substantive examination
C14 Grant of patent or utility model
GR01 Patent grant
C17 Cessation of patent right
CF01 Termination of patent right due to non-payment of annual fee

Granted publication date: 20100609

Termination date: 20110507