CN116136892A - Method and system for calculating rolling force of twenty-high rolling mill - Google Patents

Method and system for calculating rolling force of twenty-high rolling mill Download PDF

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CN116136892A
CN116136892A CN202310402165.0A CN202310402165A CN116136892A CN 116136892 A CN116136892 A CN 116136892A CN 202310402165 A CN202310402165 A CN 202310402165A CN 116136892 A CN116136892 A CN 116136892A
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deformation zone
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inlet
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刘元铭
苏军
刘延啸
和东平
刘亚星
王振华
王涛
熊晓燕
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Taiyuan University of Technology
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Abstract

The invention provides a calculation method and a calculation system for rolling force of a twenty-high rolling mill, which relate to the technical field of rolling and are used for determining the thickness of an inlet, the thickness of an outlet, the width of the inlet, the front tension and the back tension of a metal thin strip according to the technological process data of a certain cold rolling pass; acquiring an original radius of a roller and a friction factor between the roller and a metal thin belt; the rolling force prediction method provided by the invention is adopted to calculate the rolling force in the plastic deformation zone in the cold rolling process of the metal thin strip; considering the influence of front-back tension on the length of the deformation zone, calculating the rolling force of the elastic deformation zone; and obtaining the total rolling force in the whole rolling process by the calculated rolling force of the plastic deformation zone, the rolling force of the inlet elastic deformation zone and the rolling force of the outlet elastic recovery zone. The method is safe, reliable, accurate in calculation, simple and convenient, and capable of improving the plate shape and thickness tolerance of the thin strip through the predicted high-precision rolling force, so that the product is better applied to actual production.

Description

Method and system for calculating rolling force of twenty-high rolling mill
Technical Field
The invention relates to the technical field of rolling, in particular to a method and a system for calculating rolling force of a twenty-high rolling mill.
Background
The precise ultrathin metal has excellent performances of precision, corrosion resistance, surface finish and the like, is widely applied to high-end fields of aerospace, national defense and military industry, instruments and meters, electronic circuits, medical appliances and the like, and is a product with extremely high added value. In recent years, with the continuous and extensive industrialization of 4.0/5.0 intellectualization of industry and the rapid development of industries such as domestic information industry, food, household appliances and the like, the demand of various metal precision strips in the market is rapidly increasing. As demand increases, the demands on the shape, size and mechanical properties of precision, extremely thin metals become more stringent.
Extremely thin metal is typically rolled using a multi-roll mill, with twenty-roll mills being the most widely used, and most of the world's high precision metal strip is produced by a sendzimir 20 roll mill. The Sendzimir 20-roller mill is in tower-shaped dispersion distribution and consists of 8 supporting rollers, 6 second intermediate rollers, 4 first intermediate rollers and 2 working rollers. The rolling device is one of high-precision rolling core equipment, and has the characteristics of large pass reduction rate, strong plate shape control capability, small rolling force, small fluctuation range of finished product thickness tolerance and the like. In order to obtain extremely thin metal meeting the precision requirement and having good plate shape quality, the rolling production process must be accurately formulated, the rolling force is an important equipment parameter of the rolling mill design, and is also a process parameter of the control core of the rolling process, and the prediction precision directly influences the plate shape and thickness tolerance of the extremely thin metal, so that the rolling force needs to be predicted with high precision.
The engineering method is used as a main method for obtaining the rolling force in the rolling process, and a mathematical model for calculating the rolling force used in the application process is mainly derived by researchers based on a balanced differential equation according to the contact arc equation of different rolling deformation areas, the friction condition between a rolled piece and a roller and other assumption conditions so as to be suitable for different rolling conditions. The engineering method is simple, if the parameters are properly processed, the calculation result and the actual error are usually within the allowable range of engineering. But is mainly applied to the cold rolling process of strip steel such as four rolls, six rolls and the like at present, but is not suitable for the cold rolling process of extremely thin metal of a 20-roll mill.
Disclosure of Invention
Aiming at the problem that the rolling force is calculated by using a rolling force model in the rolling process under different production conditions at present, the application provides a twenty-high rolling mill rolling force calculating method and a twenty-high rolling mill rolling force calculating system.
In order to achieve the above purpose, the invention provides a method for calculating the rolling force of a twenty-high rolling mill, which comprises the following steps:
step 1: determining the inlet thickness of the metal thin strip according to the technological specification data of the cold rolling preset pass
Figure SMS_1
Thickness of outlet->
Figure SMS_2
Inlet width->
Figure SMS_3
Front tension->
Figure SMS_4
Post-tension +.>
Figure SMS_5
；
Step 2: based on the inlet thickness
Figure SMS_6
The outlet thickness->
Figure SMS_7
Said inlet width->
Figure SMS_8
Said front tension
Figure SMS_9
Said posterior tension->
Figure SMS_10
Obtaining the original radius of the roller>
Figure SMS_11
And the friction factor between the roll and the metal strip +.>
Figure SMS_12
；
Step 3: based on the original radius of the roll
Figure SMS_13
And the friction factor between the roll and the metal strip +.>
Figure SMS_14
Calculating the rolling force ++in the plastic deformation zone during the cold rolling process of the metal strip by adopting the rolling force prediction method>
Figure SMS_15
；/>
Step 4: considering the influence of front-back tension on the length of the deformation zone, calculating the rolling force of the elastic deformation zone;
step 5: rolling force based on the plastic deformation zone
Figure SMS_16
And the rolling force of the elastic deformation zone to obtain the rolling force in the whole rolling processTotal rolling force->
Figure SMS_17
。
Preferably, the specific method of the step 3 is as follows:
according to the actual material rolled in situ and the rolling schedule, calculating the deformation resistance of the plastic deformation zone of the cold-rolled metal thin strip
Figure SMS_18
Deformation resistance of the entry side of the metal strip>
Figure SMS_19
And deformation resistance on the outlet side +.>
Figure SMS_20
；
Deformation resistance based on the plastic deformation zone of the cold rolled metal strip
Figure SMS_21
Deformation resistance of the inlet side of the metal strip
Figure SMS_22
And deformation resistance of the outlet side +.>
Figure SMS_23
Obtaining the rolling force in the plastic deformation zone during the cold rolling of the metal strip>
Figure SMS_24
；
Wherein, according to the actual material rolled on site and the rolling schedule, the deformation resistance of the cold rolled metal thin strip plastic deformation area is calculated
Figure SMS_25
Deformation resistance of the entry side of the metal strip>
Figure SMS_26
And deformation resistance on the outlet side +.>
Figure SMS_27
The expression of (2) is:
Figure SMS_28
Figure SMS_29
wherein ,
Figure SMS_32
for the first pass inlet thickness of the metal strip, +.>
Figure SMS_33
For the inlet thickness of the plastic deformation zone, < >>
Figure SMS_37
Represents the inlet thickness->
Figure SMS_31
Represents the depressed thickness of the elastically deformed region of the inlet, +.>
Figure SMS_34
For the outlet thickness of the plastic deformation zone, +.>
Figure SMS_36
Represents the outlet thickness->
Figure SMS_39
Represents the depressed thickness of the elastic recovery zone of the outlet, +.>
Figure SMS_30
Is the yield stress of the material in the annealed state, +.>
Figure SMS_35
For the undetermined coefficients in the material deformation resistance model, different materials +.>
Figure SMS_38
and />
Figure SMS_40
And (3) fitting a deformation resistance model according to stress-strain curves of the materials with different values.
Preferably, in the step 3, a rolling force prediction method is adopted to calculate the rolling force in the plastic deformation zone in the cold rolling process of the metal thin strip
Figure SMS_41
The expression of (2) is:
Figure SMS_42
wherein ,
Figure SMS_45
is a metal thin strip width->
Figure SMS_48
For the reduction of the plastic deformation zone, +.>
Figure SMS_50
For friction coefficient>
Figure SMS_47
For flattening radius +.>
Figure SMS_51
For the inlet thickness of the plastic deformation zone, < >>
Figure SMS_53
Represents the inlet thickness->
Figure SMS_55
Represents the depressed thickness of the elastically deformed region of the inlet, +.>
Figure SMS_43
For the outlet thickness of the plastic deformation zone, +.>
Figure SMS_44
Represents the outlet thickness->
Figure SMS_52
Represents the depressed thickness of the elastic recovery zone of the outlet, +.>
Figure SMS_54
Is the deformation resistance of the plastic deformation zone, +.>
Figure SMS_46
For front tension->
Figure SMS_49
Is the back tension.
Preferably, the specific method of the step 4 is as follows:
step 4.1: considering the influence of front-back tension on the length of the deformation zone, calculating the depressing thickness of the elastic deformation zone of the inlet
Figure SMS_56
And the depressed thickness of the outlet elastic recovery zone +.>
Figure SMS_57
；
Step 4.2: thickness of roll under pressure in the elastic deformation zone of the inlet according to radius of roll
Figure SMS_58
And the depressed thickness of the outlet elastic deformation zone +.>
Figure SMS_59
Calculating projection of the inlet elastic deformation zone in the rolling direction +.>
Figure SMS_60
Projection of the outlet elastic deformation zone in the rolling direction +.>
Figure SMS_61
；
Step 4.3: calculating the projection of the plastic deformation zone in the rolling direction according to the radius of the roller and the rolling thickness of the plastic deformation zone
Figure SMS_62
；
Step 4.4: in the rolling direction based on the inlet elastic deformation zoneProjection of (a)
Figure SMS_63
Projection of the outlet elastic deformation zone in the rolling direction +.>
Figure SMS_64
And projection of the plastic deformation zone in the rolling direction +.>
Figure SMS_65
Considering the influence of the front-back tension on the rolling force of the elastic deformation zone, the rolling force of the inlet elastic deformation zone is calculated>
Figure SMS_66
And the rolling force of the outlet elastic deformation zone +.>
Figure SMS_67
。
Preferably, in the step 4.1, the reduction thickness of the elastic deformation region of the inlet is calculated in consideration of the influence of the front-rear tension on the length of the deformation region
Figure SMS_68
And the depressed thickness of the outlet elastic recovery zone +.>
Figure SMS_69
The method of (1) is as follows:
Figure SMS_70
wherein ,
Figure SMS_71
is the elastic modulus of the metal ribbon, +.>
Figure SMS_76
Poisson's ratio for thin metal strips, +.>
Figure SMS_78
Represents the inlet thickness->
Figure SMS_72
Represents the outlet thickness->
Figure SMS_74
and />
Figure SMS_75
Deformation resistance of the metal strip on the inlet side and on the outlet side, respectively, < >>
Figure SMS_77
For posterior tension->
Figure SMS_73
Is the front tension.
Preferably, in the step 4.2, the reduction thickness of the inlet elastic deformation zone is determined according to the radius of the roller
Figure SMS_79
And the depressed thickness of the outlet elastic deformation zone +.>
Figure SMS_80
Calculating projection of the inlet elastic deformation zone in the rolling direction +.>
Figure SMS_81
Projection of the outlet elastic deformation zone in the rolling direction +.>
Figure SMS_82
The method of (1) is as follows:
Figure SMS_83
wherein
Figure SMS_84
For the inlet thickness of the plastic deformation zone, < >>
Figure SMS_85
For the outlet thickness of the plastic deformation zone, +.>
Figure SMS_86
Is the flattening radius of the roller;
Figure SMS_87
the depressed thickness of the inlet elastic deformation region; />
Figure SMS_88
Is the depressed thickness of the exit elastic recovery zone.
Preferably, in the step 4.3, the projection of the plastic deformation zone in the rolling direction is calculated according to the radius of the roll and the rolling thickness of the plastic deformation zone
Figure SMS_89
The method of (1) is as follows:
Figure SMS_90
/>
wherein ,
Figure SMS_91
for the roll crushing radius +.>
Figure SMS_92
For the inlet thickness of the plastic deformation zone, < >>
Figure SMS_93
Is the outlet thickness of the plastic deformation zone.
Preferably, in step 4.4, the rolling force of the elastic deformation zone of the inlet is calculated taking into consideration the influence of the front-back tension on the rolling force of the elastic deformation zone
Figure SMS_94
And the rolling force of the outlet elastic deformation zone +.>
Figure SMS_95
The method of (1) is as follows:
establishing a coordinate system by taking the midpoint of the inlet cross section of the plastic deformation zone of the metal thin strip as an origin, wherein x, y and z respectively represent the length, width and thickness directions of the metal thin strip;
Figure SMS_96
wherein ,
Figure SMS_98
is a metal thin strip width->
Figure SMS_103
Represents the thickness of the entrance of the metal strip, < >>
Figure SMS_106
Represents the thickness of the outlet of the metal thin strip, +.>
Figure SMS_97
For the roll crushing radius +.>
Figure SMS_101
For front tension->
Figure SMS_110
For posterior tension->
Figure SMS_111
Contact angle for plastic deformation zone +.>
Figure SMS_100
Projection of the plastic deformation zone of the metal strip in the rolling direction, < >>
Figure SMS_102
For flattening radius +.>
Figure SMS_105
，
Figure SMS_109
For the projected length of the entry elastic deformation zone of the metal strip in the rolling direction, +.>
Figure SMS_99
，/>
Figure SMS_104
For the projected length of the elastic recovery zone of the exit of the metal strip in the rolling direction, +.>
Figure SMS_107
Is the elastic modulus of the metal ribbon, +.>
Figure SMS_108
Poisson's ratio for thin metal strips.
Preferably, the specific method of the step 5 is as follows:
considering the elastic flattening of the roll by the front-back tension, according to the initial radius of the roll
Figure SMS_112
Calculate the roll's flattening radius +.>
Figure SMS_113
；
Rolling force based on the plastic deformation zone
Figure SMS_114
Rolling force of the inlet elastic deformation zone +.>
Figure SMS_115
Rolling force of said outlet elastic recovery zone +.>
Figure SMS_116
And said crush radius +.>
Figure SMS_117
Obtaining the total rolling force in the whole rolling process>
Figure SMS_118
；
Figure SMS_119
Wherein the elastic flattening of the roller by considering the front-back tension is performed according to the initial radius of the roller
Figure SMS_120
Calculate the roll's flattening radius +.>
Figure SMS_121
The method of (1) is as follows:
Figure SMS_122
/>
wherein
Figure SMS_124
For the initial radius of the roll, +.>
Figure SMS_127
For modulus of elasticity of the roller,/>
Figure SMS_133
Poisson's ratio for rolls, +.>
Figure SMS_125
Is the width of the metal thin strip +.>
Figure SMS_128
For total rolling force->
Figure SMS_132
For the inlet thickness of the plastic deformation zone, < >>
Figure SMS_134
For the outlet thickness of the plastic deformation zone, +.>
Figure SMS_123
For the depressed thickness of the outlet elastic recovery zone, +.>
Figure SMS_130
For the influence of tension on the elastic collapse of the roller, +.>
Figure SMS_135
Is the elastic modulus of the metal ribbon, +.>
Figure SMS_136
Poisson's ratio for thin metal strips, +.>
Figure SMS_126
Represents the thickness of the entrance of the metal strip, < >>
Figure SMS_129
Represents the thickness of the outlet of the metal thin strip, +.>
Figure SMS_131
For posterior tension->
Figure SMS_137
Is the front tension.
The application also provides a calculation system of the rolling force of the twenty-high rolling mill, which comprises: the device comprises a size determining module, an acquiring module, a plastic deformation zone rolling force calculating module, an elastic zone rolling force calculating module and a total rolling force calculating module;
the size determining module is used for determining the inlet thickness of the metal thin strip according to the technological process data of the cold rolling preset pass
Figure SMS_138
Thickness of outlet->
Figure SMS_139
Inlet width->
Figure SMS_140
Front tension->
Figure SMS_141
Post-tension +.>
Figure SMS_142
；
The acquisition module is used for being based on the inlet thickness
Figure SMS_143
The outlet thickness->
Figure SMS_144
Said inlet width->
Figure SMS_145
The place of saleFront tension->
Figure SMS_146
Said posterior tension->
Figure SMS_147
Obtaining the original radius of the roller>
Figure SMS_148
And the friction factor between the roll and the metal strip +.>
Figure SMS_149
；
The rolling force calculation module of the plastic deformation zone is used for being based on the original radius of the roller
Figure SMS_150
And the friction factor between the roll and the metal strip +.>
Figure SMS_151
Calculating the rolling force ++in the plastic deformation zone during the cold rolling process of the metal strip by adopting the rolling force prediction method>
Figure SMS_152
；
The elastic zone rolling force calculation module is used for calculating the rolling force of the elastic deformation zone by considering the influence of front-back tension on the length of the deformation zone;
the total rolling force calculation module is used for calculating the rolling force based on the plastic deformation zone
Figure SMS_153
And the rolling force of said elastic deformation zone, giving the total rolling force +.>
Figure SMS_154
。
Compared with the prior art, the invention has the following advantages and technical effects:
according to the invention, the rolling force in the production process of the 20-roll mill cold-rolled ultrathin metal is predicted by providing a new rolling force calculation model, the deviation between the obtained rolling force and the on-site actual value is small, and the data value is stable. In the calculation process, various influences of on-site process parameters on the rolling process are comprehensively considered, and the calculation problem of rolling force in the process of cold rolling of the ultrathin metal under different rolling conditions is solved. The method is safe, reliable, accurate in calculation, simple and convenient, and capable of improving the plate shape and thickness tolerance of the thin strip through the predicted high-precision rolling force, so that the product is better applied to actual production.
Drawings
The accompanying drawings, which are included to provide a further understanding of the application, illustrate and explain the application and are not to be construed as limiting the application. In the drawings:
FIG. 1 is a schematic flow chart of a method for calculating the rolling force of a twenty-high rolling mill according to the present invention;
FIG. 2 is a schematic illustration of the process flow of the ultra-thin metal rolling process of the present invention;
FIG. 3 is a schematic view of a cold rolling deformation zone according to the present invention;
fig. 4 is a comparison of various model calculations with measured values.
Detailed Description
It should be noted that, in the case of no conflict, the embodiments and features in the embodiments may be combined with each other. The present application will be described in detail below with reference to the accompanying drawings in conjunction with embodiments.
It should be noted that the steps illustrated in the flowcharts of the figures may be performed in a computer system such as a set of computer executable instructions, and that although a logical order is illustrated in the flowcharts, in some cases the steps illustrated or described may be performed in an order other than that illustrated herein.
Embodiment one:
as shown in FIG. 1, the invention provides a method for calculating the rolling force of a twenty-high rolling mill, which comprises the following steps:
step 1: determining the inlet thickness of the metal thin strip according to the technological specification data of the cold rolling preset pass
Figure SMS_155
Thickness of outlet->
Figure SMS_156
Inlet width->
Figure SMS_157
Front tension->
Figure SMS_158
Post-tension +.>
Figure SMS_159
；
Step 2: based on inlet thickness
Figure SMS_160
Thickness of outlet->
Figure SMS_161
Inlet width->
Figure SMS_162
Front tension->
Figure SMS_163
Post-tension +.>
Figure SMS_164
Obtaining the original radius of the roller>
Figure SMS_165
And the friction factor between the roll and the metal strip +.>
Figure SMS_166
；
Step 3: based on the original radius of the roll
Figure SMS_167
And the friction factor between the roll and the metal strip +.>
Figure SMS_168
Adopting a rolling force prediction method to calculateCalculating the rolling force in the plastic deformation zone during the cold rolling of a metal strip>
Figure SMS_169
；
Step 4: considering the influence of front-back tension on the length of the deformation zone, calculating the rolling force of the elastic deformation zone;
step 5: rolling force based on plastic deformation zone
Figure SMS_170
And the rolling force of the elastic deformation zone, to obtain the total rolling force in the whole rolling process +.>
Figure SMS_171
。
In this embodiment, the specific method of step 3 is:
according to the actual material rolled in situ and the rolling schedule, calculating the deformation resistance of the plastic deformation zone of the cold-rolled metal thin strip
Figure SMS_172
Deformation resistance of the entry side of the metal strip>
Figure SMS_173
And deformation resistance on the outlet side +.>
Figure SMS_174
；
Deformation resistance based on cold-rolled metal strip plastic deformation zone
Figure SMS_175
Deformation resistance of the entry side of the metal strip>
Figure SMS_176
And deformation resistance on the outlet side +.>
Figure SMS_177
Obtaining the rolling force in the plastic deformation zone during the cold rolling of the metal strip>
Figure SMS_178
；
Wherein, according to the actual material rolled on site and the rolling schedule, the deformation resistance of the cold rolled metal thin strip plastic deformation area is calculated
Figure SMS_179
Deformation resistance of the entry side of the metal strip>
Figure SMS_180
And deformation resistance on the outlet side +.>
Figure SMS_181
The expression of (2) is:
Figure SMS_182
/>
wherein ,
Figure SMS_184
for the first pass inlet thickness of the metal strip, +.>
Figure SMS_187
For the inlet thickness of the plastic deformation zone,
Figure SMS_192
represents the inlet thickness->
Figure SMS_183
Represents the depressed thickness of the elastically deformed region of the inlet, +.>
Figure SMS_186
For the outlet thickness of the plastic deformation zone, +.>
Figure SMS_188
Represents the outlet thickness->
Figure SMS_190
Represents the depressed thickness of the elastic recovery zone of the outlet, +.>
Figure SMS_185
Is the yield stress of the material in the annealed state, +.>
Figure SMS_189
For the undetermined coefficients in the material deformation resistance model, different materials +.>
Figure SMS_191
and />
Figure SMS_193
And (3) fitting a deformation resistance model according to stress-strain curves of the materials with different values.
In the embodiment, step 3 adopts a rolling force prediction method to calculate the rolling force in the plastic deformation zone in the cold rolling process of the metal thin strip
Figure SMS_194
The expression of (2) is:
Figure SMS_195
wherein ,
Figure SMS_197
is a metal thin strip width->
Figure SMS_203
For the reduction of the plastic deformation zone, +.>
Figure SMS_207
For friction coefficient>
Figure SMS_196
For flattening radius +.>
Figure SMS_202
For the inlet thickness of the plastic deformation zone, < >>
Figure SMS_204
Represents the inlet thickness->
Figure SMS_206
Represents the depressed thickness of the elastically deformed region of the inlet, +.>
Figure SMS_198
For the outlet thickness of the plastic deformation zone, +.>
Figure SMS_201
Represents the outlet thickness->
Figure SMS_205
Representing the depressed thickness of the exit elastic recovery zone. />
Figure SMS_208
Is the deformation resistance of the plastic deformation zone, +.>
Figure SMS_199
For front tension->
Figure SMS_200
Is the back tension.
In this embodiment, the specific method of step 4 is:
step 4.1: considering the influence of front-back tension on the length of the deformation zone, calculating the depressing thickness of the elastic deformation zone of the inlet
Figure SMS_209
And the depressed thickness of the outlet elastic recovery zone +.>
Figure SMS_210
；
Step 4.2: thickness of roll under pressure in the elastic deformation zone of the inlet according to radius of roll
Figure SMS_211
And the depressed thickness of the outlet elastic deformation zone +.>
Figure SMS_212
Calculating projection of the inlet elastic deformation zone in the rolling direction +.>
Figure SMS_213
Projection of the outlet elastic deformation zone in the rolling direction +.>
Figure SMS_214
；
Step 4.3: calculating the projection of the plastic deformation zone in the rolling direction according to the radius of the roller and the rolling thickness of the plastic deformation zone
Figure SMS_215
；
Step 4.4: projection in rolling direction based on inlet elastic deformation zone
Figure SMS_216
Projection of the outlet elastic deformation zone in the rolling direction +.>
Figure SMS_217
And projection of the plastic deformation zone in the rolling direction +.>
Figure SMS_218
Considering the influence of the front-back tension on the rolling force of the elastic deformation zone, calculating the rolling force of the inlet elastic deformation zone +.>
Figure SMS_219
And the rolling force of the outlet elastic deformation zone +.>
Figure SMS_220
。
In this embodiment, the influence of the tension before and after the deformation zone length is considered in step 4.1, and the reduction thickness of the elastic deformation zone of the inlet is calculated
Figure SMS_221
And the depressed thickness of the outlet elastic recovery zone +.>
Figure SMS_222
The method of (1) is as follows: />
Figure SMS_223
wherein ,
Figure SMS_224
is metalElastic modulus of the thin tape->
Figure SMS_228
Poisson's ratio for thin metal strips, +.>
Figure SMS_230
Represents the inlet thickness->
Figure SMS_226
Represents the outlet thickness->
Figure SMS_227
and />
Figure SMS_229
Deformation resistance of the metal strip on the inlet side and on the outlet side, respectively, < >>
Figure SMS_231
For posterior tension->
Figure SMS_225
Is the front tension.
In this example, step 4.2, the reduction thickness of the entry elastic deformation zone is based on the roll radius
Figure SMS_232
And the depressed thickness of the outlet elastic deformation zone +.>
Figure SMS_233
Calculating projection of the inlet elastic deformation zone in the rolling direction +.>
Figure SMS_234
Projection of the outlet elastic deformation zone in the rolling direction +.>
Figure SMS_235
The method of (1) is as follows:
Figure SMS_236
wherein
Figure SMS_237
For the inlet thickness of the plastic deformation zone, < >>
Figure SMS_238
For the outlet thickness of the plastic deformation zone, +.>
Figure SMS_239
Is the flattening radius of the roller;
Figure SMS_240
the depressed thickness of the inlet elastic deformation region; />
Figure SMS_241
Is the depressed thickness of the exit elastic recovery zone.
In this example, the projection of the plastic deformation zone in the rolling direction is calculated in step 4.3 based on the roll radius, the reduction thickness of the plastic deformation zone
Figure SMS_242
The method of (1) is as follows:
Figure SMS_243
wherein ,
Figure SMS_244
for the roll crushing radius +.>
Figure SMS_245
For the inlet thickness of the plastic deformation zone, < >>
Figure SMS_246
Is the outlet thickness of the plastic deformation zone.
In this embodiment, the influence of the tension before and after the consideration of step 4.4 on the rolling force of the elastic deformation zone is calculated, and the rolling force of the elastic deformation zone at the inlet is calculated
Figure SMS_247
And the rolling force of the outlet elastic deformation zone +.>
Figure SMS_248
The method of (1) is as follows:
establishing a coordinate system by taking the midpoint of the inlet cross section of the plastic deformation zone of the metal thin strip as an origin, wherein x, y and z respectively represent the length, width and thickness directions of the metal thin strip;
Figure SMS_249
wherein ,
Figure SMS_251
is a metal thin strip width->
Figure SMS_255
Represents the thickness of the entrance of the metal strip, < >>
Figure SMS_259
Represents the thickness of the outlet of the metal thin strip, +.>
Figure SMS_252
For the roll crushing radius +.>
Figure SMS_256
For front tension->
Figure SMS_260
For posterior tension->
Figure SMS_262
Contact angle for plastic deformation zone +.>
Figure SMS_250
Projection of the plastic deformation zone of the metal strip in the rolling direction, < >>
Figure SMS_254
For flattening radius +.>
Figure SMS_258
，
Figure SMS_261
For the projected length of the entry elastic deformation zone of the metal strip in the rolling direction, +.>
Figure SMS_253
，/>
Figure SMS_257
For the projected length of the elastic recovery zone of the exit of the metal strip in the rolling direction, +.>
Figure SMS_263
Is the elastic modulus of the metal ribbon, +.>
Figure SMS_264
Poisson's ratio for thin metal strips.
In this embodiment, the specific method in step 5 is as follows:
considering the elastic flattening of the roll by the front-back tension, according to the initial radius of the roll
Figure SMS_265
Calculate the roll's flattening radius +.>
Figure SMS_266
；
Rolling force based on plastic deformation zone
Figure SMS_267
Rolling force of inlet elastic deformation zone +.>
Figure SMS_268
Rolling force of outlet elastic recovery zone +.>
Figure SMS_269
And collapse radius->
Figure SMS_270
Obtaining the total rolling force in the whole rolling process>
Figure SMS_271
。
Figure SMS_272
In this embodiment, the elastic flattening of the roll by the front-to-back tension is considered, according to the initial radius of the roll
Figure SMS_273
Calculate the roll's flattening radius +.>
Figure SMS_274
The method of (1) is as follows:
Figure SMS_275
wherein
Figure SMS_276
For the initial radius of the roll, +.>
Figure SMS_282
For modulus of elasticity of the roller,/>
Figure SMS_285
Poisson's ratio for rolls, +.>
Figure SMS_277
Is the width of the metal thin strip +.>
Figure SMS_280
For total rolling force->
Figure SMS_283
For the inlet thickness of the plastic deformation zone, < >>
Figure SMS_287
For the outlet thickness of the plastic deformation zone, +.>
Figure SMS_279
For the depressed thickness of the outlet elastic recovery zone, +.>
Figure SMS_286
For the influence of tension on the elastic collapse of the roller, +.>
Figure SMS_289
Is the elastic modulus of the metal ribbon, +.>
Figure SMS_290
Poisson's ratio for thin metal strips, +.>
Figure SMS_278
Represents the thickness of the entrance of the metal strip, < >>
Figure SMS_281
Represents the thickness of the outlet of the metal thin strip, +.>
Figure SMS_284
For posterior tension->
Figure SMS_288
Is the front tension.
Example two
The application also provides a calculation system of the rolling force of the twenty-high rolling mill, which comprises: the device comprises a size determining module, an acquiring module, a plastic deformation zone rolling force calculating module, an elastic zone rolling force calculating module and a total rolling force calculating module;
the size determining module is used for determining the inlet thickness of the metal thin strip according to the technological process data of the cold rolling preset pass
Figure SMS_291
Thickness of outlet->
Figure SMS_292
Inlet width->
Figure SMS_293
Front tension->
Figure SMS_294
Post-tension +.>
Figure SMS_295
；
The acquisition module is used for being based on the inlet thickness
Figure SMS_296
Thickness of outlet->
Figure SMS_297
Inlet width->
Figure SMS_298
Front tension->
Figure SMS_299
Post-tension +.>
Figure SMS_300
Obtaining the original radius of the roller>
Figure SMS_301
And the friction factor between the roll and the metal strip +.>
Figure SMS_302
；
The rolling force calculation module of the plastic deformation zone is used for calculating the original radius of the roller
Figure SMS_303
And the friction factor between the roll and the metal strip +.>
Figure SMS_304
Calculating the rolling force ++in the plastic deformation zone during the cold rolling process of the metal strip by adopting the rolling force prediction method>
Figure SMS_305
；
The elastic zone rolling force calculation module is used for calculating the rolling force of the elastic deformation zone by considering the influence of the front-back tension on the length of the deformation zone;
the total rolling force calculation module is used for rolling force based on plastic deformation zone
Figure SMS_306
And the rolling force of the elastic deformation zone to obtain the whole rollingTotal rolling force in process->
Figure SMS_307
。
Embodiment III:
as shown in FIG. 2, the calculation process of the rolling force predicted by the invention is described below by collecting the on-site rolling process specification and the actually measured rolling force of the metal strip ID1025 with the width of 1000 mm.
Table 1 shows rolling data required for each pass rolling force calculation.
TABLE 1 Rolling force calculation parameters for Metal sheet ID1025
Figure SMS_308
Taking the process parameters of the first pass as an example, the following is a detailed calculation step:
step 1: determining the inlet thickness of the metal thin strip according to the process specification data of cold rolling pass 1
Figure SMS_309
Thickness of outlet->
Figure SMS_310
Inlet width->
Figure SMS_311
Front tension->
Figure SMS_312
Post-tension +.>
Figure SMS_313
。
Step 2: obtaining the original radius of the roller
Figure SMS_314
Friction factor between roll and metal strip
Figure SMS_315
；
Step 3: rolling by the inventionForce calculation model for calculating rolling force in plastic deformation area in cold rolling process of metal thin strip
Figure SMS_316
；
As shown in fig. 3, which is a three-dimensional schematic diagram of the cold-rolled deformation zone in the present embodiment, the x, y and z axes are set to be the length, width and thickness directions of the cold-rolled metal strip, respectively, and the origin of coordinates in the figure is selected at the thickness of 1/2 of the metal strip at the entrance of the plastic deformation zone. The inlet thickness of the metal thin strip is
Figure SMS_319
The outlet thickness is +.>
Figure SMS_324
The thickness of the plastic deformation zone on the inlet side is +.>
Figure SMS_328
An outlet side thickness of
Figure SMS_317
The initial radius of the roll is +.>
Figure SMS_321
The radius of the roll is +.>
Figure SMS_325
The exit front tension of the metal strip is +.>
Figure SMS_329
Post-entry tension of->
Figure SMS_318
Projection of the elastic deformation zone on the entrance side of the metal strip in the rolling direction is +.>
Figure SMS_322
Projection of the outlet side elastic recovery area in the rolling direction is +.>
Figure SMS_327
Projection of the plastic deformation zone in the rolling direction is
Figure SMS_330
。/>
Figure SMS_320
Is the included angle between the connecting line of the inlet contact point and the center of the roller and the connecting line of the outlet contact point and the center of the roller in the plastic deformation area during rolling>
Figure SMS_323
Contact angle of elastic zone for entrance, +.>
Figure SMS_326
The contact angle for the exit elastic recovery zone.
Step 3.1: according to the actual material rolled in situ and rolling schedule, calculating the deformation resistance of the cold-rolled sheet plastic deformation zone
Figure SMS_331
And deformation resistance of the entry side and exit side of the metal strip +.>
Figure SMS_332
and />
Figure SMS_333
：
Further in the deformation resistance model of the metal strip ID1025,
Figure SMS_334
，/>
Figure SMS_335
；
Figure SMS_336
the rolling force of the plastic deformation zone is further predicted according to the rolling force prediction method provided by the invention
Figure SMS_337
Calculating, countingThe calculation method is as follows:
Figure SMS_338
step 4: considering the influence of front-back tension on the length of the deformation zone, calculating the rolling force of the elastic deformation zone;
step 4.1: considering the influence of front-back tension on the length of the deformation zone, calculating the reduction thickness of the inlet elastic deformation zone and the outlet elastic recovery zone
Figure SMS_339
and />
Figure SMS_340
：
Figure SMS_341
Step 4.2: calculating projections of the inlet and outlet elastic deformation regions in the rolling direction according to the radius of the roller, the reduction thickness of the inlet and outlet elastic deformation regions
Figure SMS_342
and />
Figure SMS_343
：
Figure SMS_344
Step 4.3: calculating the projection of the plastic deformation zone in the rolling direction according to the radius of the roller and the rolling thickness of the plastic deformation zone
Figure SMS_345
：
Figure SMS_346
Step 4.4: calculating inlet and outlet elasticity in consideration of the influence of front-back tension on rolling force of elastic deformation zoneRolling force of deformation zone
Figure SMS_347
and />
Figure SMS_348
：
Figure SMS_349
Step 5: the rolling force of the plastic deformation zone calculated by steps 3 and 4
Figure SMS_350
Rolling force of inlet elastic deformation zone
Figure SMS_351
Rolling force of outlet elastic recovery zone +.>
Figure SMS_352
Thereby obtaining the total rolling force +.>
Figure SMS_353
。
Figure SMS_354
Step 5.1: considering the elastic flattening of the roll by the front-back tension, according to the initial radius of the roll
Figure SMS_355
Calculate the roll's flattening radius +.>
Figure SMS_356
：
Figure SMS_357
The rolling force of the rest of the passes in this embodiment can be calculated in the same way.
In summary, the calculation process of the present invention is fully completed. According to the data collected on site, the rolling force predicted by the rolling force calculation model provided by the invention is matched with the rolling force calculated by the Li Kefu model and the ston model and the rolling force actually measured on site, for example, as shown in fig. 4, the error is within 9.6 percent. It can be seen that the rolling force predicted by the rolling force model of the invention is closer to the field measured value.
The foregoing is merely a preferred embodiment of the present application, but the scope of the present application is not limited thereto, and any changes or substitutions easily conceivable by those skilled in the art within the technical scope of the present application should be covered in the scope of the present application. Therefore, the protection scope of the present application shall be subject to the protection scope of the claims.

Claims (10)

1. The method for calculating the rolling force of the twenty-high rolling mill is characterized by comprising the following steps of:
step 1: determining the inlet thickness of the metal thin strip according to the technological specification data of the cold rolling preset pass
Figure QLYQS_1
Thickness of outlet->
Figure QLYQS_2
Inlet width->
Figure QLYQS_3
Front tension->
Figure QLYQS_4
Post-tension +.>
Figure QLYQS_5
；
Step 2: based on the inlet thickness
Figure QLYQS_6
The outlet thickness->
Figure QLYQS_7
Said inlet width->
Figure QLYQS_8
Said front tension->
Figure QLYQS_9
Said posterior tension->
Figure QLYQS_10
Obtaining the original radius of the roller>
Figure QLYQS_11
And the friction factor between the roll and the metal strip +.>
Figure QLYQS_12
；
Step 3: based on the original radius of the roll
Figure QLYQS_13
And the friction factor between the roll and the metal strip +.>
Figure QLYQS_14
Calculating the rolling force ++in the plastic deformation zone during the cold rolling process of the metal strip by adopting the rolling force prediction method>
Figure QLYQS_15
；
Step 4: considering the influence of front-back tension on the length of the deformation zone, calculating the rolling force of the elastic deformation zone;
step 5: rolling force based on the plastic deformation zone
Figure QLYQS_16
And the rolling force of said elastic deformation zone, giving the total rolling force +.>
Figure QLYQS_17
。
2. The method for calculating the rolling force of the twenty-high rolling mill according to claim 1, wherein the specific method of the step 3 is as follows:
according to the actual material rolled in situ and the rolling schedule, calculating the deformation resistance of the plastic deformation zone of the cold-rolled metal thin strip
Figure QLYQS_18
Deformation resistance of the entry side of the metal strip>
Figure QLYQS_19
And deformation resistance on the outlet side +.>
Figure QLYQS_20
；
Deformation resistance based on the plastic deformation zone of the cold rolled metal strip
Figure QLYQS_21
Deformation resistance of the entry side of the metal strip +.>
Figure QLYQS_22
And deformation resistance of the outlet side +.>
Figure QLYQS_23
Obtaining the rolling force in the plastic deformation zone during the cold rolling of the metal strip>
Figure QLYQS_24
；
Wherein, according to the actual material rolled on site and the rolling schedule, the deformation resistance of the cold rolled metal thin strip plastic deformation area is calculated
Figure QLYQS_25
Deformation resistance of the entry side of the metal strip>
Figure QLYQS_26
And deformation resistance on the outlet side +.>
Figure QLYQS_27
The expression of (2) is:
Figure QLYQS_29
wherein ,/>
Figure QLYQS_35
Is the inlet thickness of the first pass of the metal thin strip,
Figure QLYQS_39
for the inlet thickness of the plastic deformation zone, < >>
Figure QLYQS_30
Represents the inlet thickness->
Figure QLYQS_33
Represents the depressed thickness of the elastically deformed region of the inlet, +.>
Figure QLYQS_36
For the outlet thickness of the plastic deformation zone, +.>
Figure QLYQS_38
Represents the outlet thickness->
Figure QLYQS_28
Represents the depressed thickness of the elastic recovery zone of the outlet, +.>
Figure QLYQS_32
Is the yield stress of the material in the annealed state, +.>
Figure QLYQS_34
For the undetermined coefficients in the material deformation resistance model, different materials +.>
Figure QLYQS_37
and />
Figure QLYQS_31
And (3) fitting a deformation resistance model according to stress-strain curves of the materials with different values.
3. The method for calculating rolling force of twenty-high rolling mill according to claim 2, wherein in the step 3, rolling force in plastic deformation zone during cold rolling of thin metal strip is calculated by adopting rolling force prediction method
Figure QLYQS_40
The expression of (2) is:
Figure QLYQS_41
wherein ,
Figure QLYQS_48
is a metal thin strip width->
Figure QLYQS_51
For the reduction of the plastic deformation zone, +.>
Figure QLYQS_44
For friction coefficient>
Figure QLYQS_45
In order to collapse the radius,
Figure QLYQS_50
for the inlet thickness of the plastic deformation zone, < >>
Figure QLYQS_54
Represents the inlet thickness->
Figure QLYQS_43
Represents the depressed thickness of the elastically deformed region of the inlet, +.>
Figure QLYQS_47
For the outlet thickness of the plastic deformation zone, +.>
Figure QLYQS_49
Represents the outlet thickness->
Figure QLYQS_53
Represents the depressed thickness of the elastic recovery zone of the outlet, +.>
Figure QLYQS_42
Is the deformation resistance of the plastic deformation zone, +.>
Figure QLYQS_46
For front tension->
Figure QLYQS_52
Is the back tension.
4. The method for calculating the rolling force of the twenty-high rolling mill according to claim 1, wherein the specific method of the step 4 is as follows:
step 4.1: considering the influence of front-back tension on the length of the deformation zone, calculating the depressing thickness of the elastic deformation zone of the inlet
Figure QLYQS_55
And the depressed thickness of the outlet elastic recovery zone +.>
Figure QLYQS_56
；
Step 4.2: thickness of roll under pressure in the elastic deformation zone of the inlet according to radius of roll
Figure QLYQS_57
And the depressed thickness of the outlet elastic deformation zone +.>
Figure QLYQS_58
Calculating projection of the inlet elastic deformation zone in the rolling direction +.>
Figure QLYQS_59
Projection of the outlet elastic deformation zone in the rolling direction +.>
Figure QLYQS_60
；
Step 4.3: calculating the projection of the plastic deformation zone in the rolling direction according to the radius of the roller and the rolling thickness of the plastic deformation zone
Figure QLYQS_61
；
Step 4.4: based on the projection of the inlet elastic deformation zone in the rolling direction
Figure QLYQS_62
Projection of the outlet elastic deformation zone in the rolling direction +.>
Figure QLYQS_63
And projection of the plastic deformation zone in the rolling direction +.>
Figure QLYQS_64
Considering the influence of the front-back tension on the rolling force of the elastic deformation zone, the rolling force of the inlet elastic deformation zone is calculated>
Figure QLYQS_65
And the rolling force of the outlet elastic deformation zone +.>
Figure QLYQS_66
。
5. The method according to claim 4, wherein in step 4.1, the reduction thickness of the inlet elastic deformation zone is calculated in consideration of the influence of the front-rear tension on the length of the deformation zone
Figure QLYQS_67
And the depressed thickness of the outlet elastic recovery zone +.>
Figure QLYQS_68
The method of (1) is as follows:
Figure QLYQS_70
wherein ,/>
Figure QLYQS_73
Is the elastic modulus of the metal ribbon, +.>
Figure QLYQS_75
Poisson's ratio for thin metal strips, +.>
Figure QLYQS_71
Represents the inlet thickness->
Figure QLYQS_72
Represents the outlet thickness->
Figure QLYQS_76
and />
Figure QLYQS_77
Deformation resistance of the metal strip on the inlet side and on the outlet side, respectively, < >>
Figure QLYQS_69
For posterior tension->
Figure QLYQS_74
Is the front tension.
6. The method according to claim 4, wherein in step 4.2, the rolling force is calculated based on the roll radius and the rolling thickness of the inlet elastic deformation region
Figure QLYQS_78
And the depressed thickness of the outlet elastic deformation zone +.>
Figure QLYQS_79
Calculating projection of the inlet elastic deformation zone in the rolling direction +.>
Figure QLYQS_80
Projection of the outlet elastic deformation zone in the rolling direction +.>
Figure QLYQS_81
The method of (1) is as follows:
Figure QLYQS_82
Figure QLYQS_83
wherein />
Figure QLYQS_84
For the inlet thickness of the plastic deformation zone,
Figure QLYQS_85
for the outlet thickness of the plastic deformation zone, +.>
Figure QLYQS_86
Is the flattening radius of the roller; />
Figure QLYQS_87
The depressed thickness of the inlet elastic deformation region; />
Figure QLYQS_88
Is the depressed thickness of the exit elastic recovery zone.
7. The method according to claim 4, wherein in step 4.3, the rolling force of the twenty-high rolling mill is calculated based on the roll radius and the rolling force of the plastic deformation zoneCalculating the projection of the plastic deformation area in the rolling direction
Figure QLYQS_89
The method of (1) is as follows:
Figure QLYQS_90
wherein ,/>
Figure QLYQS_91
For the roll crushing radius +.>
Figure QLYQS_92
For the inlet thickness of the plastic deformation zone, < >>
Figure QLYQS_93
Is the outlet thickness of the plastic deformation zone.
8. The method according to claim 4, wherein in step 4.4, the rolling force of the inlet elastic deformation zone is calculated taking into consideration the influence of the front-rear tension on the rolling force of the elastic deformation zone
Figure QLYQS_94
And the rolling force of the outlet elastic deformation zone +.>
Figure QLYQS_95
The method of (1) is as follows:
establishing a coordinate system by taking the midpoint of the inlet cross section of the plastic deformation zone of the metal thin strip as an origin, wherein x, y and z respectively represent the length, width and thickness directions of the metal thin strip;
Figure QLYQS_106
Figure QLYQS_98
wherein ,/>
Figure QLYQS_102
Is a metal thin strip width->
Figure QLYQS_99
Represents the thickness of the entrance of the metal strip, < >>
Figure QLYQS_101
Represents the thickness of the outlet of the metal thin strip, +.>
Figure QLYQS_104
For the roll crushing radius +.>
Figure QLYQS_108
For front tension->
Figure QLYQS_109
For posterior tension->
Figure QLYQS_111
Contact angle for plastic deformation zone +.>
Figure QLYQS_96
Projection of the plastic deformation zone of the metal strip in the rolling direction, < >>
Figure QLYQS_105
For flattening radius +.>
Figure QLYQS_103
，/>
Figure QLYQS_107
For the projected length of the entry elastic deformation zone of the metal strip in the rolling direction, +.>
Figure QLYQS_110
，/>
Figure QLYQS_112
For the projected length of the elastic recovery zone of the exit of the metal strip in the rolling direction, +.>
Figure QLYQS_97
Is the elastic modulus of the metal ribbon, +.>
Figure QLYQS_100
Poisson's ratio for thin metal strips.
9. The method for calculating the rolling force of the twenty-high rolling mill according to claim 4, wherein the specific method of the step 5 is as follows:
considering the elastic flattening of the roll by the front-back tension, according to the initial radius of the roll
Figure QLYQS_113
Calculate the roll's flattening radius +.>
Figure QLYQS_114
；/>
Rolling force based on the plastic deformation zone
Figure QLYQS_115
Rolling force of the inlet elastic deformation zone +.>
Figure QLYQS_116
Rolling force of said outlet elastic recovery zone +.>
Figure QLYQS_117
And said crush radius +.>
Figure QLYQS_118
Obtaining the total rolling force in the whole rolling process>
Figure QLYQS_119
；
Wherein, the consideration is before and afterTension versus elastic collapse of rolls, based on initial radius of rolls
Figure QLYQS_120
Calculate the roll's flattening radius +.>
Figure QLYQS_121
The method of (1) is as follows:
Figure QLYQS_132
wherein />
Figure QLYQS_122
For the initial radius of the roll, +.>
Figure QLYQS_128
For modulus of elasticity of the roller,/>
Figure QLYQS_131
Poisson's ratio for rolls, +.>
Figure QLYQS_135
Is the width of the metal thin strip +.>
Figure QLYQS_134
For total rolling force->
Figure QLYQS_137
For the inlet thickness of the plastic deformation zone, < >>
Figure QLYQS_127
For the outlet thickness of the plastic deformation zone, +.>
Figure QLYQS_130
For the depressed thickness of the outlet elastic recovery zone,
Figure QLYQS_124
in order to influence the tension on the elastic collapse of the roll,/>
Figure QLYQS_129
is the elastic modulus of the metal ribbon, +.>
Figure QLYQS_125
Poisson's ratio for thin metal strips, +.>
Figure QLYQS_126
Represents the thickness of the entrance of the metal strip, < >>
Figure QLYQS_133
Represents the thickness of the outlet of the metal thin strip, +.>
Figure QLYQS_136
For posterior tension->
Figure QLYQS_123
Is the front tension.
10. A twenty-high rolling mill rolling force calculation system, comprising: the device comprises a size determining module, an acquiring module, a plastic deformation zone rolling force calculating module, an elastic zone rolling force calculating module and a total rolling force calculating module;
the size determining module is used for determining the inlet thickness of the metal thin strip according to the technological process data of the cold rolling preset pass
Figure QLYQS_138
Thickness of outlet->
Figure QLYQS_139
Inlet width->
Figure QLYQS_140
Front tension->
Figure QLYQS_141
Post-tension +.>
Figure QLYQS_142
；
The acquisition module is used for being based on the inlet thickness
Figure QLYQS_143
The outlet thickness->
Figure QLYQS_144
Said inlet width->
Figure QLYQS_145
Said front tension->
Figure QLYQS_146
Said posterior tension->
Figure QLYQS_147
Obtaining the original radius of the roller>
Figure QLYQS_148
And the friction factor between the roll and the metal strip +.>
Figure QLYQS_149
；
The rolling force calculation module of the plastic deformation zone is used for being based on the original radius of the roller
Figure QLYQS_150
And the friction factor between the roll and the metal strip +.>
Figure QLYQS_151
Calculating the rolling force ++in the plastic deformation zone during the cold rolling process of the metal strip by adopting the rolling force prediction method>
Figure QLYQS_152
；
The elastic zone rolling force calculation module is used for calculating the rolling force of the elastic deformation zone by considering the influence of front-back tension on the length of the deformation zone;
the total rolling force calculation module is used for calculating the rolling force based on the plastic deformation zone
Figure QLYQS_153
And the rolling force of said elastic deformation zone, giving the total rolling force +.>
Figure QLYQS_154
。/>
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CN116984385A (en) * 2023-09-26 2023-11-03 太原理工大学 Method and device for determining rolling force in rolling of cold continuous rolling strip steel from thin gauge to thick gauge
CN116984386A (en) * 2023-09-26 2023-11-03 太原理工大学 Method and device for determining force energy parameters in TRB thinning rolling process
CN118023303A (en) * 2024-04-15 2024-05-14 太原理工大学 Roll gap setting method, device and equipment in thin strip rolling production process

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