CN111475917A - Method for calculating deformation resistance of common steel grades GCr15, 60Si2Mn and 42CrMo - Google Patents
Method for calculating deformation resistance of common steel grades GCr15, 60Si2Mn and 42CrMo Download PDFInfo
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- CN111475917A CN111475917A CN202010162042.0A CN202010162042A CN111475917A CN 111475917 A CN111475917 A CN 111475917A CN 202010162042 A CN202010162042 A CN 202010162042A CN 111475917 A CN111475917 A CN 111475917A
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- 229910000831 Steel Inorganic materials 0.000 title claims abstract description 12
- 239000010959 steel Substances 0.000 title claims abstract description 12
- 238000000034 method Methods 0.000 title claims description 12
- 238000005096 rolling process Methods 0.000 claims description 16
- 239000013072 incoming material Substances 0.000 claims description 6
- 239000000463 material Substances 0.000 claims description 3
- 238000004364 calculation method Methods 0.000 abstract description 16
- 238000011160 research Methods 0.000 description 4
- 239000007769 metal material Substances 0.000 description 3
- 238000013461 design Methods 0.000 description 2
- 238000004519 manufacturing process Methods 0.000 description 2
- 229910001149 41xx steel Inorganic materials 0.000 description 1
- 239000003638 chemical reducing agent Substances 0.000 description 1
- 238000011960 computer-aided design Methods 0.000 description 1
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
- B21B—ROLLING OF METAL
- B21B1/00—Metal-rolling methods or mills for making semi-finished products of solid or profiled cross-section; Sequence of operations in milling trains; Layout of rolling-mill plant, e.g. grouping of stands; Succession of passes or of sectional pass alternations
- B21B1/22—Metal-rolling methods or mills for making semi-finished products of solid or profiled cross-section; Sequence of operations in milling trains; Layout of rolling-mill plant, e.g. grouping of stands; Succession of passes or of sectional pass alternations for rolling plates, strips, bands or sheets of indefinite length
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
- B21B—ROLLING OF METAL
- B21B1/00—Metal-rolling methods or mills for making semi-finished products of solid or profiled cross-section; Sequence of operations in milling trains; Layout of rolling-mill plant, e.g. grouping of stands; Succession of passes or of sectional pass alternations
- B21B1/22—Metal-rolling methods or mills for making semi-finished products of solid or profiled cross-section; Sequence of operations in milling trains; Layout of rolling-mill plant, e.g. grouping of stands; Succession of passes or of sectional pass alternations for rolling plates, strips, bands or sheets of indefinite length
- B21B2001/225—Metal-rolling methods or mills for making semi-finished products of solid or profiled cross-section; Sequence of operations in milling trains; Layout of rolling-mill plant, e.g. grouping of stands; Succession of passes or of sectional pass alternations for rolling plates, strips, bands or sheets of indefinite length by hot-rolling
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Abstract
The invention relates to a common steel GCr 1560 Si2Mn 42CrMo deformation resistance calculation model, which finds out a calculation formula of deformation resistance and deformation degree, deformation temperature and deformation speed by regression of a deformation resistance chart, wherein the influence coefficient of the deformation degree is subjected to polynomial regression, the influence coefficient of the deformation speed is subjected to logarithmic regression, and the influence coefficient of the deformation speed and the deformation speed is subjected to logarithmic regression.
Description
Technical Field
The invention relates to a method for calculating deformation resistance in a slab rolling process, in particular to a method for calculating the deformation resistance of common steel grades GCr15, 60Si2Mn and 42 CrMo. Belongs to the technical field of steel rolling.
Background
The high-temperature deformation resistance model of the metal material is the basis of hot working design, becomes a necessary condition of process design along with the development and application of computer aided design technology, and a large amount of work has been carried out at home and abroad in the research on the high-temperature deformation resistance of the metal material, such as an Akron unit pressure model, a Sims unit pressure model, a Meibanjia aided deformation resistance model, a Zhitian metallocene deformation resistance model, a Kiriches unit pressure model, a Zhoushan and a Cuckian intelligence deformation resistance model, and the calculation accuracy of the high-temperature deformation resistance model of the metal material is improved by carrying out high-temperature deformation resistance nonlinear regression through a deformation resistance chart.
Among various factors influencing the rolling force, the deformation resistance of the plate blank is the most critical, and the accuracy of the prediction of the deformation resistance directly determines the accuracy of the calculation of the rolling force, so that the prediction of the deformation resistance of the plate blank has important significance on the application effect of automatic steel rolling. Deformation resistance is related to material characteristics, rolling temperature, deformation rate and the like, and the law under various rolling conditions cannot be obtained by performing reverse calculation or experimental research depending on production data in the current research.
Disclosure of Invention
The invention aims to solve the technical problem of providing a method for calculating the deformation resistance of the common steel grades GCr15, 60Si2Mn and 42CrMo in the prior art, finding out a calculation formula of the deformation resistance, the deformation degree, the deformation temperature and the deformation speed through regression of a deformation resistance chart, and being used for checking the capability of a roller, a speed reducer and a motor on a production site.
The technical scheme adopted by the invention for solving the problems is as follows: a method for calculating the deformation resistance of common steel grades GCr15, 60Si2Mn and 42CrMo is represented by the following formula:
deformation resistance is a deformation degree coefficient a (deformation temperature coefficient b + deformation speed coefficient c);
wherein:
the influence of the GCr15 deformation degree on the deformation resistance is regressed by a polynomial equation:
the deformation coefficient a is 41.66^5-98.48^4+90.49^3-41.33^2+9.609 ^ 0.071;
the influence of the degree of deformation of 60Si2Mn on the deformation resistance is regressed by a polynomial equation:
the deformation degree coefficient a is 12.5^5-29.924^4+28.92^3-15.542^2+4.95 ^ 0.294;
the influence of the 42CrMo degree on the deformation resistance is regressed by a polynomial:
the coefficient of deformation a is 12.5^5-29.16667^4+27.70833^3-14.29167^2+4.33833 ^ 0.39429
The average deformation degree is 2/3 average reduction/average height of the supplied materials;
the influence of the deformation speed on the deformation resistance is subjected to logarithmic regression:
1) deformation speed of 10 or less
The deformation rate coefficient b of GCr15 is 18.86250ln (u) -44.39069;
a deformation rate coefficient b of 60Si2Mn of 18.66782ln (u) -43.89665;
the deformation rate coefficient b of 42CrMo is 16.51395ln (u) -38.74336;
2) deformation speed greater than 10
The deformation rate coefficient b of GCr15 is 29.39651ln (u) -69.68966;
a deformation rate coefficient b of 60Si2Mn of 27.23356ln (u) -64.2422;
the deformation rate coefficient b of 42CrMo is 25.26492ln (u) -59.33581;
u is the deformation speed (rolling speed) average rolling reduction/(deformation zone arc length) average height of the incoming material);
the influence of the deformation temperature on the deformation resistance is subjected to exponential regression:
the deformation temperature coefficient c of GCr15 is 5778.55715 EXP (-0.00362 t);
the deformation temperature coefficient c of 60Si2Mn (4143.3441 × EXP (-0.00317 × t);
the deformation temperature coefficient c of 42CrMo is 3062.43623 EXP (-0.00299 xt);
t is the rolling temperature (. degree. C.).
Compared with the prior art, the invention has the advantages that:
the invention discloses a common steel GCr 1560 Si2Mn 42CrMo deformation resistance calculation model, and a calculation formula of deformation resistance, deformation degree, deformation temperature and deformation speed is found out through regression of a deformation resistance chart. The common calculation formula of deformation resistance is regressed by an index. The deformation degree influence coefficient is regressed by a polynomial, the deformation speed influence coefficient is regressed by a logarithm, and the deformation speed temperature influence coefficient is regressed by a logarithm.
Drawings
FIG. 1 is a graph of the deformation resistance of GCr15 in an example of the invention.
FIG. 2 is a graph of the deformation resistance of 60Si2Mn in accordance with an embodiment of the present invention.
FIG. 3 is a graph of the deformation resistance of 42CrMo in the example of the invention.
Detailed Description
The invention is described in further detail below with reference to the accompanying examples.
The embodiment discloses a method for calculating the deformation resistance of common steel grades GCr15, 60Si2Mn and 42CrMo, wherein the high-temperature deformation resistance nonlinear regression is carried out through a deformation resistance chart, and through analytical research, the deformation resistance can be represented by the following formula:
the deformation resistance is the coefficient of degree of deformation a (deformation temperature coefficient b + deformation speed coefficient c).
Wherein the influence of the deformation degree on the deformation resistance can obtain very close results by polynomial regression:
the influence of the GCr15 deformation degree on the deformation resistance is regressed by a polynomial equation:
the coefficient of deformation a is 41.66^5-98.48^4+90.49^3-41.33^2+9.609 ^ 0.071
To average the degree of deformation, the average degree of deformation is 2/3 average reduction/average height of incoming material
| Degree of deformation | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 |
| Table lookup GCr15 deformation coefficient | 0.7 | 0.92 | 0.98 | 1 | 1 | 0.98 | 0.94 |
| Regression calculation of GCr15 deformation coefficient | 0.700 | 0.919 | 0.981 | 0.999 | 1.001 | 0.980 | 0.940 |
The influence of the degree of deformation of 60Si2Mn on the deformation resistance is regressed by a polynomial equation:
the deformation coefficient a is 12.5^5-29.924^4+28.92^3-15.542^2+4.95 ^ 0.294
To average the degree of deformation, the average degree of deformation is 2/3 average reduction/average height of incoming material
| Amount of deformation | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 |
| Table lookup 60Si2Mn deflection coefficient | 0.66 | 0.85 | 0.95 | 1 | 1.02 | 1.01 | 0.98 |
| Regression calculation of 60Si2Mn deformation coefficient | 0.660 | 0.850 | 0.949 | 1.000 | 1.019 | 1.009 | 0.979 |
The influence of the 42CrMo degree on the deformation resistance is regressed by a polynomial:
the coefficient of deformation a is 12.5^5-29.16667^4+27.70833^3-14.29167^2+4.33833 ^ 0.39429
To average the degree of deformation, the average degree of deformation is 2/3 average reduction/average height of incoming material
| Amount of deformation | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 |
| 42CrMo deflection coefficient is looked up in table | 0.71 | 0.87 | 0.95 | 1 | 1.02 | 1.03 | 1.03 |
| 42CrMo deformation coefficient is calculated through regression | 0.710 | 0.869 | 0.952 | 0.998 | 1.022 | 1.029 | 1.030 |
The influence of the deformation speed on the deformation resistance is subjected to logarithmic regression, and in order to ensure regression accuracy, the method is divided into the method when the deformation speed is less than or equal to 10 and the method when the deformation speed is greater than 10.
Influence coefficient of deformation speed on deformation resistance:
u is the deformation speed equal to the rolling speed equal to the average rolling reduction/(the deformation zone arc length equal to the average height of the incoming material)
The influence of the deformation temperature on the deformation resistance is exponentially regressed.
| Steel grade | Coefficient of deformation temperature |
| GCr15 | 5778.55715*EXP(-0.00362*t) |
| 60Si2Mn | 4143.3441*EXP(-0.00317*t) |
| 42CrMo | 3062.43623*EXP(-0.00299*t) |
t is the rolling temperature (. degree. C.).
Calculating the actual deformation resistance by using the deformation resistance calculation formula, wherein the calculation result of the regression formula and the table look-up error are as follows:
through calculation, the calculation results and the table look-up errors of the regression formulas of the GCr15, 60Si2Mn and 42CrMo deformation resistance can be controlled within +/-10 percent, and as shown in the figure 1-3, the regression formulas of the GCr15, 60Si2Mn and 42CrMo deformation resistance can meet the calculation requirements of actual deformation resistance.
In addition to the above embodiments, the present invention also includes other embodiments, and any technical solutions formed by equivalent transformation or equivalent replacement should fall within the scope of the claims of the present invention.
Claims (1)
1. A method for calculating deformation resistance of common steel grades GCr15, 60Si2Mn and 42CrMo is characterized by comprising the following steps: the deformation resistance is expressed by the following formula:
deformation resistance is a deformation degree coefficient a (deformation temperature coefficient b + deformation speed coefficient c);
wherein:
the influence of the GCr15 deformation degree on the deformation resistance is regressed by a polynomial equation:
the deformation coefficient a is 41.66^5-98.48^4+90.49^3-41.33^2+9.609 ^ 0.071;
the influence of the degree of deformation of 60Si2Mn on the deformation resistance is regressed by a polynomial equation:
the deformation degree coefficient a is 12.5^5-29.924^4+28.92^3-15.542^2+4.95 ^ 0.294;
the influence of the 42CrMo degree on the deformation resistance is regressed by a polynomial:
the coefficient of deformation a is 12.5^5-29.16667^4+27.70833^3-14.29167^2+4.33833 ^ 0.39429
The average deformation degree is 2/3 average reduction/average height of the supplied materials;
the influence of the deformation speed on the deformation resistance is subjected to logarithmic regression:
1) deformation speed of 10 or less
The deformation rate coefficient b of GCr15 is 18.86250ln (u) -44.39069;
a deformation rate coefficient b of 60Si2Mn of 18.66782ln (u) -43.89665;
the deformation rate coefficient b of 42CrMo is 16.51395ln (u) -38.74336;
2) deformation speed greater than 10
The deformation rate coefficient b of GCr15 is 29.39651ln (u) -69.68966;
a deformation rate coefficient b of 60Si2Mn of 27.23356ln (u) -64.2422;
the deformation rate coefficient b of 42CrMo is 25.26492ln (u) -59.33581;
u is the deformation speed (rolling speed) average rolling reduction/(deformation zone arc length) average height of the incoming material);
the influence of the deformation temperature on the deformation resistance is subjected to exponential regression:
the deformation temperature coefficient c of GCr15 is 5778.55715 EXP (-0.00362 t);
the deformation temperature coefficient c of 60Si2Mn (4143.3441 × EXP (-0.00317 × t);
the deformation temperature coefficient c of 42CrMo is 3062.43623 EXP (-0.00299 xt);
t is the rolling temperature (. degree. C.).
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Citations (7)
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|---|---|---|---|---|
| KR20030055604A (en) * | 2001-12-27 | 2003-07-04 | 주식회사 포스코 | Method for prediction of rolling forces during hot rolling of stainless steel |
| KR20040056704A (en) * | 2002-12-24 | 2004-07-01 | 주식회사 포스코 | A method for predicting hot deformation resistance of STS 430 ferritic stainless steel |
| US20070256464A1 (en) * | 2004-01-23 | 2007-11-08 | Peter Lixfeld | Method for Increasing the Process Stability, Particularly the Absolute Thickness Prescision and the Installation Safety During the Hot Rolling of Steel or Nonferrous Materials |
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Non-Patent Citations (1)
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