CN115570204B - Constant-power dynamic feeding sawing method for bar - Google Patents
Constant-power dynamic feeding sawing method for bar Download PDFInfo
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- CN115570204B CN115570204B CN202211217893.6A CN202211217893A CN115570204B CN 115570204 B CN115570204 B CN 115570204B CN 202211217893 A CN202211217893 A CN 202211217893A CN 115570204 B CN115570204 B CN 115570204B
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Classifications
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
- B23D—PLANING; SLOTTING; SHEARING; BROACHING; SAWING; FILING; SCRAPING; LIKE OPERATIONS FOR WORKING METAL BY REMOVING MATERIAL, NOT OTHERWISE PROVIDED FOR
- B23D47/00—Sawing machines or sawing devices working with circular saw blades, characterised only by constructional features of particular parts
- B23D47/12—Sawing machines or sawing devices working with circular saw blades, characterised only by constructional features of particular parts of drives for circular saw blades
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
- B23D—PLANING; SLOTTING; SHEARING; BROACHING; SAWING; FILING; SCRAPING; LIKE OPERATIONS FOR WORKING METAL BY REMOVING MATERIAL, NOT OTHERWISE PROVIDED FOR
- B23D47/00—Sawing machines or sawing devices working with circular saw blades, characterised only by constructional features of particular parts
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Abstract
The invention provides a constant-power dynamic feeding sawing method for bars; the maximum power of the saw blade when cutting bar, namely the cutting power at the maximum chord of the saw blade and bar cutting is the reference power under the normal cutting state (for example, the rotation linear speed of the saw blade is 120m/min, and the single-tooth feeding amount is 0.1 mm) is calculated, so that the saw blade can still be the reference power by changing the single-tooth feeding amount gamma when cutting other chord lengths are cut by the saw blade, the bar cutting efficiency is improved, and the productivity is improved. The method aims at overcoming the defect of the prior sawing method that the constant rotation speed and the constant feeding amount are adopted, and dynamically adjusting the feeding amount of the circular saw on the rest sawing sections by taking the power required by the maximum sawing sections of the circular saw blade and the cut bar as a reference, so as to realize constant power dynamic feeding sawing.
Description
Technical Field
The invention belongs to the field of bar sawing; in particular to a constant-power dynamic feeding sawing method for bars.
Background
The prior bar sawing process determines the sawing feeding speed of the bar according to the diameter and the number of teeth of the saw blade and the rotating speed; in a general sawing state, the relationship between the saw blade feeding speed V and the saw blade rotating speed n, the single tooth feeding quantity gamma and the saw blade tooth number Z is as follows:
wherein: v is in mm/min, n is in r/min, and gamma is in mm.
It can be seen from the above that in the case of a constant saw blade rotational speed n, the saw blade feed speed is only related to the number of saw blade teeth Z, the saw blade rotational speed n and the set single tooth feed amount γ, so that the sawing speed is constant for all bars to be sawed with different diameters, and thus the efficiency is low. The saw blade moves at a uniform speed in the sawing direction, and the feeding speed is irrelevant to the diameter of the bar to be sawed, so that the sawing capability of the sawing machine and the saw blade cannot be fully utilized, and the problems of low efficiency and low productivity utilization rate exist. In order to solve the problem, the invention provides a constant reference power sawing method, namely a sawing method for changing single tooth feeding quantity gamma according to sawing chord length, so as to improve sawing efficiency.
Disclosure of Invention
The invention aims to provide a constant-power dynamic feeding sawing method for bars. The method takes the power required by the maximum sawing section of the circular saw blade and the cut bar as a reference, and dynamically adjusts the feeding quantity of the circular saw at the rest sawing sections to realize the constant-power dynamic feeding sawing process.
The invention is realized by the following technical scheme:
The invention relates to a constant-power dynamic feeding sawing method for bars, which comprises the following steps:
step 1, firstly, calculating a cutting angle theta according to the saw blade radius R and the saw cut bar radius R and the feeding depth alpha:
From cosine theorem, see formula (I)
（I）
Namely the cut angle θ: see formula (II)
（II）
Wherein: alpha is in the range of 0 to 2r.
As shown in FIG. 2, the cutting angle θ is a convergence function with a maximum extreme value
Step 2, as can be seen from FIG. 1, when the cutting angle is maximum, namely the maximum chord lengthAt this time, the number of teeth of the saw blade participating in sawing is also maximumSee formula (III)
（III）
Step 3, calculating the maximum standard power constant C, see formula (IV)
（IV）
Wherein: according to the sawing property limitation of the saw blade, the single-tooth feeding quantity gamma is in the range of 0.05-0.25, the service life and sawing efficiency of the saw blade are comprehensively considered, and the middle number of 0.15 is taken as the single-tooth feeding quantity value of standard power.
At this time, the maximum standard power constant C is taken as a fixed value, and the number of teeth involved in sawing is correspondingly changed when sawing other non-maximum chords, so that the single tooth feed gamma under the maximum standard power constant C at the rest chords can be obtained, see formula (V)
（V）
Wherein z is the number of teeth involved in sawing, and when the calculated single tooth feed gamma exceeds its maximum value of 0.25, the single tooth feed gamma is made constant to be 0.25.
Step 4, under the condition that the rotating speed of the saw blade is constant, according to the radius of the saw blade, the expression of the constant power dynamic feeding speed V formed by the radius of the saw bar and the feeding depth alpha is as follows: see formula (VI)
（VI）
In the formula (VI), n and C are constants, Z is the number of teeth involved in sawing, theta is the cutting angle, alpha is the feeding depth, gamma is the single-tooth feeding amount, and the curve trend of the constant-power dynamic feeding speed V of thetaThe curve trends are opposite.
The working principle of the invention is as follows: the maximum power of the saw blade when cutting bar, namely the cutting power at the maximum chord of the saw blade and bar cutting is the reference power under the normal cutting state (for example, the rotation linear speed of the saw blade is 120m/min, and the single-tooth feeding amount is 0.1 mm) calculated, so that the saw blade can still be the reference power by changing the single-tooth feeding amount gamma when cutting other chord lengths, thereby improving the bar cutting efficiency and productivity.
Therefore, an expression of constant-power dynamic feeding speed V is obtained, the feeding speed of the saw blade is set according to the expression, the sawing speed can be dynamically changed in the sawing process according to the diameter of the saw blade and the number of teeth, and the sawing speed of the bar is effectively improved, so that the production efficiency is improved.
The invention has the following advantages:
(1) The method automatically adjusts the sawing feed speed according to the diameter of the saw blade, the number of teeth of the saw blade and the diameter of the bar, is simple, ensures constant reference power sawing, namely changes the sawing method of single-tooth feed quantity gamma according to the sawing chord length so as to improve the sawing efficiency;
(2) The method is simple and easy to operate, reduces the workload and improves the yield.
Drawings
FIG. 1 is a schematic diagram of the process principle of the method of the present invention;
FIG. 2 is a graph showing the trend of the cutting angle θ with the feeding depth α during the method of the present invention;
in the drawings, 1 is a saw blade, and 2 is a bar.
Detailed Description
The present invention will be described in detail with reference to specific examples. It should be noted that the following examples are only further illustrative of the present invention, but the scope of the present invention is not limited to the following examples.
Examples
The embodiment relates to a constant-power dynamic feeding sawing method for bars, which mainly comprises the following components: saw blade 1 and rod 2, the calculated parameters include: the radius R of the saw blade 1, the radius R of the bar 2, the feed depth α, the cut angle θ, and the center distance L between the saw blade 1 and the bar 2 are shown in fig. 1. In addition, it relates to calculating parameters such as: the number of teeth Z of the saw blade 1, the rotating speed n of the saw blade 2, the single-tooth feeding quantity gamma, the maximum standard power constant C, the sawing chord length S, the saw blade feeding speed V and other parameters.
The constant-power dynamic feeding sawing method for the bar materials comprises the following steps of:
Step 1, firstly, calculating a cutting angle theta according to the radius R of the saw blade 1 and the radius R of the sawed bar 2 and the feeding depth alpha:
From cosine theorem, see formula (I)
（I）
Namely the cut angle θ: see formula (II)
（II）
Wherein: alpha is in the range of 0 to 2r.
From this, it can be seen that the cutting angle θ is a converging function, and the cutting angle θ has a trend of changing with the feeding depth α, as shown in FIG. 2, with the maximum extreme value，
Step 2, as can be seen from FIG. 1, when the cutting angle is maximum, namely the maximum chord lengthAt this time, the number of teeth of the saw blade participating in sawing is also maximumSee formula (III)
（III）
Z in the formula (III) is the number of teeth participating in sawing;
step 3, calculating the maximum standard power constant C, see formula (IV)
（IV）
Wherein: according to the limitation of saw blade sawing property, the range value of single tooth feeding quantity gamma is 0.05-0.25, and 0.15 is taken as the single tooth feeding quantity value of standard power.
The maximum standard power constant C is used as a fixed value, and the number of teeth involved in sawing also changes correspondingly when other non-maximum chords are sawn, so that the single-tooth feed quantity gamma and gamma numerical calculation formula (V) under the maximum standard power constant C at the rest chords can be obtained
（V）
Wherein Z is the number of teeth involved in sawing, C is a fixed value, and when the calculated single tooth feed amount gamma exceeds the maximum value of 0.25, the single tooth feed amount gamma is made to be 0.25 constantly.
Step 4, under the condition that the rotating speed of the saw blade is constant, according to the radius of the saw blade, the expression of the constant power dynamic feeding speed V formed by the radius of the saw bar and the feeding depth alpha is as follows: see formula (VI)
（VI）
In the formula (VI), n and C are constants, Z is the number of teeth involved in sawing, theta is the cutting angle, alpha is the feeding depth, gamma is the single-tooth feeding amount (the calculation is shown in formula (V)), and the curve trend of the theta constant-power dynamic feeding speed V are shown in the formula (V)The curve trends are opposite.
Therefore, an expression of constant-power dynamic feeding speed V is obtained, the feeding speed of the saw blade is set according to the expression, the sawing speed can be dynamically changed in the sawing process according to the diameter of the saw blade and the number of teeth, and the sawing speed of the bar is effectively improved, so that the production efficiency is improved.
The method automatically adjusts the sawing feed speed according to the diameter of the saw blade, the number of teeth of the saw blade and the diameter of the bar, is simple, ensures constant reference power sawing, namely changes the sawing method of single-tooth feed quantity gamma according to the sawing chord length so as to improve the sawing efficiency.
The foregoing describes specific embodiments of the present invention. It is to be understood that the invention is not limited to the particular embodiments described above, and that various changes and modifications may be made by one skilled in the art within the scope of the claims without affecting the spirit of the invention.
Claims (1)
1. The constant-power dynamic feeding sawing method for the bar is characterized by comprising the following steps of:
step 1, calculating a cutting angle theta according to the radius R of the saw blade (1), the radius R of the sawed bar (2) and the feeding depth alpha: the cosine value is obtained first, as shown in formula (I),
（I）
Obtaining the cutting angle theta: as shown in the formula (II),
（II）
In the formula (II): alpha is in the range of 0-2r;
the tangential angle theta is a convergence function with the maximum extreme value ；
Step 2, when the cutting angle θ is maximum, i.e., maximum chord lengthAt this point, the number of teeth of the saw blade (1) for sawing is calculated to be the maximum valueSee formula (III);
（III）
Step 3, calculating the maximum standard power constant C, see formula (IV)
（IV）
In formula (IV): gamma is single tooth feeding amount and its value is 0.05-0.25;
and adjusting gamma to be single-tooth feeding quantity to be 0.15, obtaining a maximum standard power constant C to be a fixed value, and obtaining single-tooth feeding quantity gamma under the maximum standard power constant C at the rest chord length according to the fixed value, wherein the single-tooth feeding quantity gamma is shown in a formula (V):
(V)
In the step (V), z is the number of teeth participating in sawing, and when the calculated single-tooth feeding quantity gamma exceeds the maximum value of 0.25, the single-tooth feeding quantity gamma is made to be 0.25 constantly;
Step 4, under the condition that the rotating speed of the saw blade (1) is constant, calculating the feeding speed V according to a constant power dynamic formed by the radius R of the saw blade (1), the radius R of the sawed bar (2) and the feeding depth alpha, wherein the expression is as follows, and the expression is shown in a formula (VI):
(VI)
in the formula (VI), n and C are constants, Z is the number of teeth involved in sawing, theta is the cutting angle, alpha is the feeding depth, gamma is the single-tooth feeding amount, and the curve trend of the constant-power dynamic feeding speed V and The curve trends are opposite.
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Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US3715946A (en) * | 1970-09-17 | 1973-02-13 | D Kaltenbach | Feed control apparatus for a rotary tool |
| CN111308954A (en) * | 2020-02-28 | 2020-06-19 | 鞍山紫竹科技型钢有限公司 | Constant power control system of hot sawing machine |
Family Cites Families (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| SE524602C2 (en) * | 2001-02-05 | 2004-08-31 | Kapman Ab | Method and system for determining the feed rate in band sawing |
| JP4836161B2 (en) * | 2004-11-24 | 2011-12-14 | 兼房株式会社 | Rotary cutting tool |
| RU2508190C1 (en) * | 2012-10-01 | 2014-02-27 | Федеральное государственное автономное образовательное учреждение высшего профессионального образования "Северный (Арктический) федеральный университет имени М.В. Ломоносова" (САФУ) | Method of determining modes of cutting wood on bandsawing machine in flexible automated wood-sawing lines |
| CN110539202B (en) * | 2019-08-01 | 2021-04-27 | 中国一拖集团有限公司 | Self-adaptive control processing method with constant spindle power as target |
| CN110531710B (en) * | 2019-10-09 | 2022-02-25 | 西北工业大学 | Feeding speed optimization method based on main shaft constant power constraint |
| CN113172474B (en) * | 2021-04-06 | 2022-10-18 | 浙江璐远机械科技有限公司 | Sawing machine feeding control method and sawing machine |
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Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US3715946A (en) * | 1970-09-17 | 1973-02-13 | D Kaltenbach | Feed control apparatus for a rotary tool |
| CN111308954A (en) * | 2020-02-28 | 2020-06-19 | 鞍山紫竹科技型钢有限公司 | Constant power control system of hot sawing machine |
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