CN105002621A - Amend method for cosinusoidal motion law of negative shedding cam - Google Patents
Amend method for cosinusoidal motion law of negative shedding cam Download PDFInfo
- Publication number
- CN105002621A CN105002621A CN201510521813.XA CN201510521813A CN105002621A CN 105002621 A CN105002621 A CN 105002621A CN 201510521813 A CN201510521813 A CN 201510521813A CN 105002621 A CN105002621 A CN 105002621A
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- CN
- China
- Prior art keywords
- motion
- stage
- cam
- shedding cam
- cosinusoidal
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Classifications
-
- D—TEXTILES; PAPER
- D03—WEAVING
- D03C—SHEDDING MECHANISMS; PATTERN CARDS OR CHAINS; PUNCHING OF CARDS; DESIGNING PATTERNS
- D03C5/00—Cam or other direct-acting shedding mechanisms, i.e. operating heald frames without intervening power-supplying devices
Abstract
The invention discloses an amend method for the cosinusoidal motion law of a negative shedding cam. The method is characterized by comprising the following steps: enlarging the angles of the rising stage and the falling stage of the cosinusoidal motion law of the negative shedding cam; reducing the angle of the pause stage of the cosinusoidal motion law; adding polynomial motion laws between the rising stage and the pause stage of the cosinusoidal motion law of the negative shedding cam, and between the pause stage and the falling stage of the cosinusoidal motion law of the negative shedding cam. The method is used for amending the cosinusoidal motion law of the negative shedding cam, that is, both the start ends of the rising stage and the falling stage are improved by 0.2 to 1.2 mm of stroke, the pause stage is reduced by 5 to 10 degrees, 0.2 to 1.2 mm of rising stroke and falling stroke are fulfilled in 8 to 12 degrees' angles between the rising stage and the pause stage, and between the pause stage and the falling stage by respectively adopting the polynomial motion laws. Therefore, the hard impact of a cam driven piece is greatly reduced, and convenience is brought for improving the use speed and the moving stability of the negative shedding cam.
Description
Technical field
The invention belongs to the shedding cam field of loom, be specifically related to a kind of modification method of cosinusoidal motion rule of negative shedding cam.
Background technology
The characteristics of motion (movement locus at cam follower center) of shedding cam represents with functional form, is exactly Transmission Function.Zeroth order Transmission Function is exactly displacement curve, and second order Transmission Function is exactly accelerating curve.The motion of loom shedding cam can adopt the different characteristics of motion to complete same shed open on-off action, quite similar between the displacement curve of different motion rule, and difference between the accelerating curve of different motion rule is very large.The characteristics of motion of shedding cam extensively adopts cosine curve, and the advantage of the cosinusoidal motion rule of cam is that acceleration value is little, and it is discontinuous that shortcoming is that accelerating curve exists, and thus cam follower can be subject to hard impact.In order to apply favorable influence to the size of cam follower inertia force with change, reduce the hard impact (cancellation receives) of cam follower, an effective method makes correction to cosinusoidal motion rule.
The motion of cam completes the lift of cam at cam axle certain angle and falls journey, the motion process of cam comprises lift-journey of pausing-fall, first correcting method is the angle shortening pause district, lift and the decline of cam is completed by longer angle, lift angle and angle downwards appear in the denominator of acceleration characteristic coefficient with square value, and the angle extending lift district can effectively reduce the numerical value of acceleration.
The acceleration of cosinusoidal motion is finite value at the end of ascent stage, and the acceleration of idle periods is zero, therefore acceleration is discontinuous, in order to overcome the discontinuous deficiency of acceleration, second correcting method is increase by two sections of displacement curves, coordinates the use of cosine curve.The main lift stage still uses cosine curve, terminates the initial pairing curve with the decline stage at main ascent stage, and pairing curve adopts polynomial motion: R (Φ)=C
0+ C
1(Φ/Φ o)
1+ C
2(Φ/Φ o)
2+ C
4(Φ/Φ o)
4.Utilize continuous at the equal and acceleration of the shift value of junction of pairing curve, can in the hope of the coefficient C of polynomial motion
0, C
1, C
2and C
4.The use of fitting curves can eliminate the discontinuous of accelerating curve.
Another feature of shedding cam motion is the requirement inaccuracy of lift H, and lift H ± 2 are millimeter all within spendable scope.The polynomial motion coordinated just in order to complete increasing degree ± 2 millimeters lift and journey is fallen, and be arranged in the top of lift and fall the starting point of journey.
Shaking by force and the operating speed limiting negative shedding mechanism for high year of cam mechanism.Revising Cam Motion Principle is a kind of highly effective improvement means, and this contributes to improving the operating speed of Opening Cam Organization and the stability of motion.
Summary of the invention
In order to solve the problem, the invention provides a kind of modification method of cosinusoidal motion rule of negative shedding cam, be intended to the hard impact reducing cam follower.
For realizing above-mentioned technical purpose, reach above-mentioned technique effect, the present invention is achieved through the following technical solutions:
A modification method for the cosinusoidal motion rule of negative shedding cam, comprises following improvement:
1) ascent stage and the angle of decline stage of shedding cam cosinusoidal motion rule is extended;
2) angle of the idle periods of shedding cam cosinusoidal motion rule is shortened;
3) between the ascent stage and idle periods of shedding cam cosinusoidal motion rule, the first polynomial motion is added;
4) shedding cam cosinusoidal motion rule idle periods and add the second polynomial motion between the decline stage.
Further, the angle that the ascent stage of shedding cam cosinusoidal motion rule the is corresponding angle corresponding with the decline stage extends 5 °-10 ° respectively, and the angle that ascent stage the is corresponding angle corresponding with the decline stage is equal.
Further, the ascent stage of shedding cam curve and decline stage all adopt cosinusoidal motion rule.
Further, the amplitude of described first polynomial motion is between 0.2-1.2 millimeter, and the angle that described first polynomial motion is corresponding is 8 °-12 °.
Further, the amplitude of described second polynomial motion is between 0.2-1.2 millimeter, and the angle that described second polynomial motion is corresponding is 8 °-12 °.
The invention has the beneficial effects as follows:
The present invention is by improving the cosinusoidal motion rule of shedding cam, the characteristics of motion improved is the traverse that the end in the stage that rises thereon and the origin or beginning of decline stage all add 0.2-1.2 millimeter, shorten the dwell angle of 5-10 °, polynomial motion is adopted to complete the lift of 0.2-1.2 millimeter and fall journey in the angle of 8 °-12 ° between ascent stage and idle periods and between idle periods and decline stage respectively, so just substantially reduce the hard impact of cam follower, contribute to improving the operating speed of Opening Cam Organization and the stability of motion.
Above-mentioned explanation is only the general introduction of technical solution of the present invention, in order to better understand technological means of the present invention, and can be implemented according to the content of description, coordinates accompanying drawing to describe in detail below with preferred embodiment of the present invention.The specific embodiment of the present invention is provided in detail by following examples and accompanying drawing thereof.
Accompanying drawing explanation
Accompanying drawing described herein is used to provide a further understanding of the present invention, and form a application's part, schematic description and description of the present invention, for explaining the present invention, does not form inappropriate limitation of the present invention.In the accompanying drawings:
Fig. 1 is the sketch that shedding cam drives heald frame;
Fig. 2 is the displacement curve of the shedding cam characteristics of motion ascent stage before revising;
Fig. 3 is the accelerating curve of the shedding cam characteristics of motion ascent stage before revising;
Fig. 4 is the displacement curve of revised shedding cam characteristics of motion ascent stage;
Fig. 5 is the accelerating curve of revised shedding cam characteristics of motion ascent stage.
Detailed description of the invention
Below with reference to the accompanying drawings and in conjunction with the embodiments, describe the present invention in detail.
Shown in Figure 1, Fig. 1 represents that shedding cam drives the sketch of heald frame, air-jet loom bent axle drives shedding cam 1 to rotate through cog belt and gear train assembly, shedding cam 1 drives cam follower 2 and opening arm 3 to make reciprocally swinging, opening arm 3 swing by heald cord holder 4 tractive shedding steel wire rope 5,5, shedding steel wire rope drives heald frame 6 in the vertical direction to pump.Every page of heald frame drives hundreds and thousands of warp thread to move up and down respectively, forms shed open.The rule that warp thread moves up and down depends on the characteristics of motion of cam.The characteristics of motion (movement locus at cam follower center) of shedding cam represents with functional form, is exactly Transmission Function.Zeroth order Transmission Function is exactly displacement curve, and second order Transmission Function is exactly accelerating curve.
The characteristics of motion of cam, R=R (Φ) represents that the principal radii of cam is taken as the function of angular displacement of the cam Φ, and R must meet the requirement of air jet weaving process.Camming movement is except the opening and closing meeting shed open, and when shed open full gate, heald frame is required a period of time of pausing, and completes wefting insertion action in pause a period of time domestic demand; After flat combining, it is then beating-up.Therefore shedding cam generally adopts pause, and-rising ,-pause-decline-forms of motion of pause.
Fig. 2 represents the displacement curve of a kind of shedding cam characteristics of motion of loom ascent stage, and the Cam Motion Principle in loom opening more adopts cosine curve.The expression formula of cosine curve is as follows:
R = R(Φ) = H/2 (1 - COS(Φ/Φo)π) + R
b（1）
In formula: R represents the principal radii of cam;
R
brepresent the generating circle radius of cam;
H represents the lift of cam;
Cam angle when Φ o represents that the lift of cam is H.
The displacement curve of the shedding cam characteristics of motion ascent stage of Fig. 2 represents the cosine curve adopting formula (1) at the ascent stage of 0 °-160 °, 160 °-190 ° is idle periods, the decline stage of 190 °-360 ° adopts the cosine curve of formula (1) equally, very little 0 ° of contiguous curve increasing degree, can be considered pause.
The motion of loom shedding cam can adopt the different characteristics of motion, owing to completing same shed open on-off action, quite similar between the displacement curve of different motion rule, and difference between the accelerating curve of different motion rule is very large.Weigh the kinetic characteristic of high-speed cam mechanism, use dimensionless factor, dimensionless factor Cv, Ca, Cj are used for the peak feature of Cam Motion Principle speed, acceleration and the quadratic acceleration (impact) evaluated in high-speed cam mechanism respectively.The characteristics of motion acceleration characteristic evaluation coefficient Ca claim hard impact characteristics value, if acceleration movement rule is discontinuous, then shows that motion exists hard impact.
Cosine curve is widely applied at shedding cam, and this is main relevant with the accuracy of manufacture, and when accuracy of manufacture error can not ensure 0.1mm, so high selecting of Cam Motion Principle does not just have Practical significance.
The evaluation coefficient of table 1 Cam Motion Principle
Table 1 gives the comparison of the evaluation coefficient of several Cam Motion Principle, and the numerical value of dimensionless factor Cv, Ca of cosine curve is less, and the numerical value of Cj is ∞, shows that cosinusoidal motion rule exists the discontinuous of acceleration, there is the impact of quadratic acceleration.The Cj of other several Cam Motion Principles is a finite value, and the numerical value of evaluation coefficient Cv, Ca is all higher.
Fig. 3 represents the accelerating curve of the rule of cosinusoidal motion shown in Fig. 2, from this accelerating curve, the ascent stage end of curve movement and the junction accelerating curve of 160 ° of-190 ° of idle periods discontinuous, the junction initial in the decline stage of 160 ° of-190 ° of idle periods and curve movement is discontinuous.The acceleration of curve movement end position is a finite value, and idle periods is because its acceleration that do not move is zero, and suddenling change from a finite value occurs infinitely great to zero meaning quadratic acceleration.In actual use, exactly lift terminate and decline start time, vibration is violent.
Through above-mentioned analysis, the invention provides a kind of modification method of cosinusoidal motion rule of negative shedding cam, comprise some improvements following:
1, extend ascent stage and the run duration of decline stage of the shedding cam characteristics of motion, shorten its dead time; That is, extend ascent stage and the angle of decline stage of the shedding cam characteristics of motion, shorten the angle of the idle periods of the shedding cam characteristics of motion;
Secondary and three subderivatives are asked by formula (1),
R" = -(π
2H/2Φo
2) × (COS(Φ/Φo)π)
R"′ = (π
3H/2Φo
3) × Sin(Φ/Φo)π) （2）
The coefficient of secondary and three subderivative formulas is exactly acceleration characteristic evaluation coefficient Ca and quadratic acceleration evaluating characteristics coefficient Cj.
Ca = π
2H/2Φo
2
Cj = π
3H/2Φo
3（3）
From formula (3), Φ o is the cam angle when cam lift is H, and Φ o value is larger, and the numerical value of Ca and Cj is less.
This has shown the increased exercise times of lift H, dead time shortens, from formula (3), the angle rising and decline appears at the square value of Φ o in the denominator of acceleration characteristic coefficient, and the prolongation of run duration Φ o reduces the numerical value of acceleration characteristic evaluation coefficient Ca with square value.
Ascent stage and the decline stage of the shedding cam characteristics of motion all adopt cosine curve, and the angle that ascent stage is corresponding extends 5 °-10 °, the angle also identical prolongation 5 °-10 ° that the decline stage is corresponding.
2, in the ascent stage of the shedding cam characteristics of motion and the bonding pad of idle periods with in the idle periods of the shedding cam characteristics of motion and the bonding pad of decline stage, all adopt polynomial motion, at the angular range of 8 °-12 °, the increasing degree of bonding pad is 0.2-1.2 millimeter.
Another feature of shedding cam motion is the requirement inaccuracy of lift, and lift H ± 2 are millimeter all in spendable scope.
As shown in Figure 3, the accelerating curve of shedding cam characteristics of motion ascent stage exists discontinuous.In order to overcome discontinuous deficiency, increase by two sections of characteristics of motion pairings and use, main ascent stage still adopts cosine curve, and the characteristics of motion of pairing adopts polynomial motion:
R (Φ)=C
0+ C
1(Φ/Φ o)
1+ C
2(Φ/Φ o)
2+ C
4(Φ/Φ o)
4, as:
0°-165°，R(Φ) = H/2(1 - COS(Φ/Φo)π) + R
b；
165°-175°，R(Φ) = C
0+ C
1(Φ/Φo) + C
2(Φ/Φo)
2+ C
4(Φ/Φo)
4；
175 °-185 °, R (Φ)=constant;
185°-195°，R(Φ) = D
0+ D
1(Φ/Φo) + D
2(Φ/Φo)
2+ D
4(Φ/Φo)
4；
195°-360°，R(Φ) = H/2(1 - COS(Φ/Φo)π) + R
b（4）；
The characteristics of motion configured between ascent stage and idle periods, the first polynomial motion is adopted between 165 °-175 °, the amplitude of described first polynomial motion is between 0.2-1.2 millimeter, and the angle that described first polynomial motion is corresponding is 8 °-12 °.
The characteristics of motion configured between idle periods and decline stage, the second polynomial motion is adopted between 185 °-195 °, the amplitude of described second polynomial motion is between 0.2-1.2 millimeter, and the angle that described second polynomial motion is corresponding is 8 °-12 °.
According to boundary condition, border acceleration is continuous, and boundary displacement is equal, can obtain the coefficient of polynomial motion.
Fig. 4 represents the displacement curve of the revised shedding cam characteristics of motion ascent stage drawn according to the characteristics of motion of formula (4).Compared with the displacement curve of the shedding cam characteristics of motion ascent stage before the correction of Fig. 2, two curves are almost identical.Shown in Figure 4, the displacement curve of revised shedding cam characteristics of motion ascent stage, only at the somewhat little burr of idle periods, does not affect normal use.
Fig. 5 represents the accelerating curve of the revised shedding cam characteristics of motion ascent stage drawn according to the characteristics of motion of formula (4).Compared with the accelerating curve of the shedding cam characteristics of motion ascent stage before the correction of Fig. 3, difference is the idle periods of the accelerating curve at revised shedding cam characteristics of motion ascent stage, instead of two straight lines by two sections of curves, change the discontinuous of accelerating curve.
Above-described embodiment, just in order to technical conceive of the present invention and feature are described, its objective is and is one of ordinary skilled in the art can be understood content of the present invention and implement according to this, can not limit the scope of the invention with this.The change of every equivalence done by the essence of content of the present invention or modification, all should be encompassed in protection scope of the present invention.
Claims (5)
1. a modification method for the cosinusoidal motion rule of negative shedding cam, is characterized in that, comprises following improvement:
1) ascent stage and the angle of decline stage of shedding cam cosinusoidal motion rule is extended;
2) angle of the idle periods of shedding cam cosinusoidal motion rule is shortened;
3) between the ascent stage and idle periods of shedding cam cosinusoidal motion rule, the first polynomial motion is configured;
4) at the idle periods of shedding cam displacement curve and configure the second polynomial motion between the decline stage.
2. the modification method of the cosinusoidal motion rule of negative shedding cam according to claim 1, it is characterized in that: the angle that the ascent stage of shedding cam cosinusoidal motion rule the is corresponding angle corresponding with the decline stage extends 5 °-10 ° respectively, the angle that ascent stage the is corresponding angle corresponding with the decline stage is equal.
3. the modification method of the characteristics of motion of negative shedding cam according to claim 1, is characterized in that: ascent stage and the decline stage of shedding cam cosinusoidal motion rule all adopt cosine curve.
4. the modification method of the cosinusoidal motion rule of negative shedding cam according to claim 1, it is characterized in that: the amplitude of described first polynomial motion is between 0.2-1.2 millimeter, and the angle that described first polynomial motion is corresponding is 8 °-12 °.
5. the modification method of the cosinusoidal motion rule of negative shedding cam according to claim 1, it is characterized in that: the amplitude of described second polynomial motion is between 0.2-1.2 millimeter, and the angle that described second polynomial motion is corresponding is 8 °-12 °.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN115074894A (en) * | 2022-07-06 | 2022-09-20 | 天津工业大学 | Double-layer rigid rapier driving and controlling method for spacer fabric |
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| CN115074894B (en) * | 2022-07-06 | 2024-03-22 | 天津工业大学 | Double-layer rigid rapier driving and controlling method for spacer fabric |
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Application publication date: 20151028 |