CN111651891B - Dynamic modeling method for analyzing horizontal self-excited vibration of working roll of hot-rolling finishing mill - Google Patents
Dynamic modeling method for analyzing horizontal self-excited vibration of working roll of hot-rolling finishing mill Download PDFInfo
- Publication number
- CN111651891B CN111651891B CN202010507881.1A CN202010507881A CN111651891B CN 111651891 B CN111651891 B CN 111651891B CN 202010507881 A CN202010507881 A CN 202010507881A CN 111651891 B CN111651891 B CN 111651891B
- Authority
- CN
- China
- Prior art keywords
- formula
- rolled piece
- working roll
- horizontal
- rolling
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
- 238000005098 hot rolling Methods 0.000 title claims abstract description 14
- 238000000034 method Methods 0.000 title claims abstract description 13
- 238000005096 rolling process Methods 0.000 claims abstract description 45
- 238000004364 calculation method Methods 0.000 claims abstract description 23
- 230000007935 neutral effect Effects 0.000 claims abstract description 19
- 239000012530 fluid Substances 0.000 claims abstract description 4
- 238000006073 displacement reaction Methods 0.000 claims description 12
- 238000013016 damping Methods 0.000 claims description 11
- 230000009467 reduction Effects 0.000 claims description 7
- 238000012933 kinetic analysis Methods 0.000 claims description 5
- 230000008859 change Effects 0.000 claims description 4
- 230000000694 effects Effects 0.000 claims description 4
- 239000002184 metal Substances 0.000 claims description 3
- 230000003068 static effect Effects 0.000 claims description 3
- NAWXUBYGYWOOIX-SFHVURJKSA-N (2s)-2-[[4-[2-(2,4-diaminoquinazolin-6-yl)ethyl]benzoyl]amino]-4-methylidenepentanedioic acid Chemical compound C1=CC2=NC(N)=NC(N)=C2C=C1CCC1=CC=C(C(=O)N[C@@H](CC(=C)C(O)=O)C(O)=O)C=C1 NAWXUBYGYWOOIX-SFHVURJKSA-N 0.000 claims description 2
- 238000004458 analytical method Methods 0.000 abstract description 8
- 238000004519 manufacturing process Methods 0.000 abstract description 8
- 238000004088 simulation Methods 0.000 description 9
- 230000004044 response Effects 0.000 description 8
- 229910000831 Steel Inorganic materials 0.000 description 5
- 239000010959 steel Substances 0.000 description 5
- 238000010586 diagram Methods 0.000 description 3
- 230000007246 mechanism Effects 0.000 description 3
- 238000009795 derivation Methods 0.000 description 1
- 230000005484 gravity Effects 0.000 description 1
- 230000001629 suppression Effects 0.000 description 1
Images
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/14—Force analysis or force optimisation, e.g. static or dynamic forces
Landscapes
- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Computer Hardware Design (AREA)
- Evolutionary Computation (AREA)
- Geometry (AREA)
- General Engineering & Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Control Of Metal Rolling (AREA)
- Metal Rolling (AREA)
Abstract
The invention provides a dynamic modeling method for analyzing horizontal self-excited vibration of a working roll of a hot rolling finishing mill, which comprises the following steps: a. calculating the dynamic speed of the rolled piece according to the principle that the flow volume of the rolled piece in the deformation area is not changed
To obtain a neutral angle
Horizontal vibration speed of roller
A differential equation; b. based on the principle that the rolled piece satisfies the plastic fluid mechanics in the rolling process, the average shear stress applied to the rolled piece in the rolling process is calculated
(ii) a c. Calculating stress state coefficient of rolled piece when upper and lower rollers of rolling mill move asymmetrically
(ii) a d. Obtaining a calculation formula of the dynamic rolling force P of the hot rolling; e. establishing a horizontal dynamic model of the working roll; f. and obtaining a dynamic analysis equation of the horizontal self-excited vibration of the working roll of the hot finishing mill. The invention has important significance for improving the product quality and the production safety.
Description
Technical Field
The invention relates to the field of rolling mill vibration analysis, in particular to a dynamic modeling method for analyzing horizontal self-excited vibration of a working roll of a hot rolling finishing mill.
Background
With the development of large-scale, high-load and high-speed rolling equipment in the steel industry, the dynamic effect of a rolling mill is prominent in the rolling process, the vibration problem of the rolling mill becomes obvious, and particularly the horizontal self-excited vibration of a working roll occurs very frequently. The severe vibration not only threatens the safe production of the rolling mill, but also reduces the surface quality of the strip steel, even causes major equipment accidents, and becomes a bottleneck which troubles the production of the strip steel and the development of new products.
Because the horizontal direction of the working roll in the rolling mill system has structural gaps and the constraint strength is low, the horizontal vibration performance of the working roll is the most severe. The horizontal self-excited vibration frequency of the working roll is 40-80 Hz, and the vibration directions of the upper working roll and the lower working roll are opposite. In order to study the vibration mechanism and solve the vibration problem, researchers have conducted a series of studies on the horizontal vibration problem of the rolling mill, which have revealed some vibration phenomena of the rolling mill from different angles, but have conducted studies on a single roll as a study object or under the same conditions of assuming the motion states of upper and lower rolls. In practice, the movement of the upper and lower work rolls of the rolling mill is represented by a reverse vibration phenomenon. The reverse vibration of the upper and lower working rolls can cause the direction of the acting force of the rolled piece on the roll to change, and in addition, the difference of the friction states of the upper and lower surfaces of the rolled piece in the deformation area can be caused, so that the neutral angle positions of the upper and lower surfaces are different, the rolling area is derived from the deformation area, and the stress state is more complicated. The dynamic derivation of the rolling area enables the deformation area to generate a new damping mechanism, changes the stability of the rolling deformation area, and has great influence on the stability of a rolling mill system, so that the severe self-excited vibration of the working roll is easy to frequently occur when a hot finishing mill set rolls high-strength thin-specification strip steel.
Disclosure of Invention
The invention aims to provide a dynamic modeling method for analyzing and considering the horizontal self-excited vibration of a working roll of a hot finishing mill in a rolling deformation area in unsteady rolling so as to solve the problem that the working roll is easy to frequently generate violent self-excited vibration when a hot finishing mill set rolls high-strength thin-specification strip steel.
The invention is realized by the following steps: a dynamic modeling method for analyzing horizontal self-excited vibration of a working roll of a hot rolling finishing mill comprises the following steps:
a. calculating the dynamic speed v of the rolled piece according to the principle that the flow volume of the rolled piece in the deformation area is not changedx，vxThe calculation formula of (2) is as follows:
wherein v is0For the entry velocity of the product, veIs the horizontal vibration speed of the roller, H is the inlet thickness of the rolled piece, HxThe thickness of a rolled piece at the x position on the contact arc of the roller and the rolled piece;
at neutral angle thetanAs a boundary condition of the formula (1), the following formula is obtained:
the neutral angle theta is obtained by processing the formula (2)nWith horizontal vibration speed v of the rollseDifferential equation:
wherein R is the work roll radius, vrIs the rolling speed;
b. based on the principle that the rolled piece satisfies the plastic fluid mechanics in the rolling process, the average shear stress tau borne by the rolled piece in the rolling process is calculatedm，τmMeter (2)The calculation formula is as follows:
wherein v isx1For the flow velocity, v, of the upper surface of the product at the x positionx2For the flow velocity, v, of the lower surface of the product in the x positione1For horizontal vibration speed of upper working roll, ve2The horizontal vibration speed of a lower working roll is set, xi is the flow viscosity of a rolled piece, k is the metal deformation resistance, and l is the length of a contact area between the rolled piece and a roll;
c. the stress state coefficient of the front and rear sliding areas is assumed to change linearly along the contact line of the rolled piece and the roller; neglecting the effect of tension, the stress state coefficients of the rolled pieces at the inlet and outlet are
The stress state coefficient of the rolled piece in the rolling area is a fixed value; calculating stress state coefficient eta of rolled piece when upper and lower rollers of rolling mill move asymmetricallyσ，ησThe calculation formula of (2) is as follows:
wherein, thetan1At dynamic upper work roll neutral angle, θn2Neutral angle of lower working roll, eta, in dynamic stateσmaxThe maximum stress state coefficient of the deformation zone;
from equation (3):
substituting formula (6) into formula (5) yields:
eta in the formulae (5) and (7)σmaxThe calculation formula of (2) is as follows:
wherein h is the inlet thickness of the rolled piece, hnThe thickness of the rolled piece at the neutral angle position is shown, and e is the reduction rate;
the reduction rate e is calculated by the formula:
θ in the formula (8)nThe calculation formula of (2) is as follows:
h in formula (8)nThe calculation formula of (2):
d. the calculation formula of the hot rolling force P is as follows:
substituting formula (4), formula (7), formula (8), formula (9), formula (10), and formula (11) into formula (12) yields:
e. the horizontal dynamic model of the working roll is as follows:
wherein m is the work roll and its bearing and shaftMass of bearing cxDamping coefficient, k, for horizontal movement of rollsxThe stiffness coefficient, x, for horizontal movement of the rolls1For horizontal displacement of the upper work rolls, x2Horizontal displacement of the lower working roll;
in formula (14)
The calculation formula is as follows:
mu in the formula (15) is the friction coefficient of the deformation region, and the calculation formula is as follows:
wherein, musIs static friction coefficient, chi is negative friction damping coefficient, mu is deformation zone friction coefficient,
is the first derivative of x;
sin β in formula (14) is calculated by the following formula:
wherein x is1Is the horizontal displacement of the upper working roll; x is the number of2Horizontal displacement of the lower working roll;
f. subtracting the two equations in the equation (14) and substituting the equations (15), (16) and (17) to obtain a kinetic analysis equation of the horizontal self-excited vibration of the work rolls of the hot finishing mill, that is:
wherein,
is x1The first derivative of (a) is,
is x2The first derivative of (a) is,
is x1The second derivative of (a) is,
is x2P is the rolling force calculated by the formula (13);
the rolled piece contact zone length l can be calculated according to the following formula:
l＝R*α (19)
where α is the bite angle.
The invention provides a dynamic modeling method for analyzing horizontal self-excited vibration of a working roll of a hot rolling finishing mill, which considers the factors comprehensively and truly and establishes a model more reliably. Based on the method, the mechanism of the horizontal self-excited vibration generation of the hot finishing mill can be analyzed, the influence rule of the structural parameters of the mill and the rolling process parameters on the self-excited vibration is analyzed, effective vibration suppression measures can be provided from the two aspects of the structure of the mill and the rolling process, the stable production of the mill is guaranteed, the problem of the self-excited vibration of the working roll which puzzles the production field for a long time is solved, and the method has important significance for improving the product quality and the production safety.
Drawings
FIG. 1 is a schematic view of the horizontal vibration of upper and lower work rolls.
FIG. 2 is a stress relationship diagram of a rolling deformation zone when the upper and lower working rolls move asymmetrically.
FIG. 3 is a graph of differential dynamic response of upper and lower work roll speeds at different inlet thicknesses.
FIG. 4 is a graph of differential dynamic response of upper and lower work roll speeds at different exit thicknesses.
FIG. 5 is a differential dynamic response diagram of upper and lower work roll speeds for different deformation resistances.
FIG. 6 is a differential dynamic response diagram of the upper and lower work rolls with different damping structures.
Detailed Description
As shown in fig. 1 and 2, the dynamic modeling method for analyzing the horizontal self-excited vibration of the work roll of the hot rolling finishing mill of the invention comprises the following steps:
a. under the condition of considering the horizontal vibration speed of the upper and lower working rolls, the dynamic speed v of the rolled piece is deduced according to the principle that the flow volume of the rolled piece in the deformation area is not changedx，vxCan be calculated according to the following formula:
wherein v is0For the entry velocity of the product, veIs the horizontal vibration speed of the roller, H is the inlet thickness of the rolled piece, HxThe thickness of a rolled piece at the x position on the contact arc of the roller and the rolled piece;
at neutral angle thetanAs a boundary condition of the dynamic velocity formula of the rolled piece, the following formula is obtained:
the neutral angle is the included angle between the interface of the front sliding area and the rear sliding area and the gravity vertical line of the roller;
the above formula is arranged to obtain a neutral angle thetanWith horizontal vibration speed v of the rollseDifferential equation:
wherein R is the work roll radius, vrThe rolling speed is used.
b. Based on the principle that the rolled piece satisfies the plastic fluid mechanics in the rolling process, the average shear stress tau borne by the rolled piece in the rolling process is calculatedm，τmThe calculation formula of (2) is as follows:
wherein v isx1For the flow velocity, v, of the upper surface of the product at the x positionx2For the flow velocity, v, of the lower surface of the product in the x positione1For horizontal vibration speed of upper working roll, ve2The horizontal vibration speed of the lower working roll is set,
the viscosity of a rolled piece is adopted, k is the metal deformation resistance, and l is the length of a contact area between the rolled piece and a roller;
l is calculated according to the following formula:
l＝R*α
where α is the bite angle.
c. The stress state coefficient of the front and rear sliding areas is assumed to change linearly along the contact line of the rolled piece and the working roll; neglecting the effect of tension, the stress state coefficients of the rolled pieces at the inlet and outlet are
The stress state coefficient of the rolled piece in the rolling area is a fixed value; calculating stress state coefficient eta of the rolled piece when the upper and lower working rolls of the rolling mill do asymmetric motionσ，ησThe calculation formula of (2) is as follows:
wherein, thetan1At dynamic upper work roll neutral angle, θn2Neutral angle of lower working roll, eta, in dynamic stateσmaxMaximum stress state coefficient of deformation region
The differential equation of the neutral angle and the horizontal vibration speed of the roller can be obtained as follows:
substituting the above formula into etaσThe calculation formula of (2):
eta in the above formulaσmaxCan be calculated according to the following formula:
wherein h is the inlet thickness of the rolled piece, hnThe thickness of the rolled piece at the neutral angle position is shown, and e is the reduction rate;
the reduction rate e can be calculated according to the following formula:
neutral angle thetanCan be calculated according to the following formula:
rolled piece thickness h at neutral angular positionnIt can be calculated according to the following formula:
d. the calculation formula of the hot rolling force P is as follows:
substituting the above formula into the rolling force formula to obtain:
e. the horizontal dynamic model of the working roll is as follows:
wherein m is the mass of the working roll and its bearings and bearing seats, cxDamping coefficient, k, for horizontal movement of rollsxThe stiffness coefficient, x, for horizontal movement of the rolls1For horizontal displacement of the upper work rolls, x2Horizontal displacement of the lower working roll;
wherein,
can be calculated according to the following formula:
μ is the coefficient of friction in the deformation zone, which can be calculated according to the following equation:
wherein, musIs static friction coefficient, chi is negative friction damping coefficient, mu is deformation zone friction coefficient,
is the first derivative of x;
sin β can be calculated by the following formula:
wherein x is1Is the horizontal displacement of the upper working roll; x is the number of2Horizontal displacement of the lower working roll;
subtracting the two formulas in the horizontal dynamic model of the working roll, substituting each parameter formula to obtain a dynamic analysis equation of the horizontal self-excited vibration of the working roll of the hot rolling finishing mill, namely:
wherein,
is x1The first derivative of (a) is,
is x2The first derivative of (a) is,
is x1The second derivative of (a) is,
is x2P is the rolling force calculated by the formula.
Based on the established kinetic analysis model, the simulation analysis shows the differential dynamic response of the speed of the upper working roll and the lower working roll when the inlet thicknesses are respectively 13.5mm, 14.0mm and 14.5mm, and the simulation result is shown in figure 3.
Based on the established kinetic analysis model, the simulation analysis shows the differential dynamic response of the speed of the upper working roll and the lower working roll when the outlet thickness is 6.8mm, 7.0mm and 7.2mm respectively, and the simulation result is shown in FIG. 4.
Based on the established kinetic analysis model, the simulation analysis shows the differential dynamic response of the speeds of the upper working roll and the lower working roll when the deformation resistances are respectively 160MPa, 170MPa and 180MPa, and the simulation result is shown in FIG. 5.
Based on the established dynamic analysis model, the damping of the simulation analysis structure is respectively 6 multiplied by 105N/(m/s)、8×105N/(m/s)、10×105The differential dynamic response of the speeds of the upper and lower working rolls at the time of N/(m/s) is shown in FIG. 6.
The simulation result shows that when the outlet thickness of the rolled piece is unchanged, the larger the inlet thickness is, the larger the vibration intensity of the working roll is; when the inlet thickness of the rolled piece is unchanged, the larger the outlet thickness is, the smaller the vibration intensity of the working roll is; when other parameters are unchanged, the larger the deformation resistance of the rolled piece is, the larger the vibration intensity of the working roll is; when other parameters are unchanged, the larger the structural damping of the rolling mill is, the smaller the vibration intensity of the working roll is. In actual production, the larger the rolling reduction, the larger the deformation resistance of a rolled piece and the smaller the structural damping, and the more easily the horizontal self-excited vibration of the working roll occurs. The simulation result is matched with the phenomenon in actual production. Therefore, the dynamic modeling method for analyzing the horizontal self-excited vibration of the working roll of the hot rolling finishing mill provided by the invention is effective.
Claims (2)
1. A dynamic modeling method for analyzing horizontal self-excited vibration of a working roll of a hot rolling finishing mill is characterized by comprising the following steps:
a. calculating the dynamic speed v of the rolled piece according to the principle that the flow volume of the rolled piece in the deformation area is not changedx，vxThe calculation formula of (2) is as follows:
wherein v is0For the entry velocity of the product, veIs the horizontal vibration speed of the roller, H is the inlet thickness of the rolled piece, HxThe thickness of a rolled piece at the x position on the contact arc of the roller and the rolled piece;
at neutral angle thetanAs a boundary condition of the formula (1), the following formula is obtained:
wherein h isnThe rolled piece thickness at the neutral angular position;
the neutral angle theta is obtained by processing the formula (2)nWith horizontal vibration speed v of the rollseDifferential equation:
wherein R is the work roll radius, vrIs the rolling speed;
b. based on the principle that the rolled piece satisfies the plastic fluid mechanics in the rolling process, the average shear stress tau borne by the rolled piece in the rolling process is calculatedm，τmThe calculation formula of (2) is as follows:
wherein v isx1For the flow velocity, v, of the upper surface of the product at the x positionx2For the flow velocity, v, of the lower surface of the product in the x positione1For horizontal vibration speed of upper working roll, ve2The horizontal vibration speed of a lower working roll is set, xi is the flow viscosity of a rolled piece, k is the metal deformation resistance, and l is the length of a contact area between the rolled piece and a roll;
c. the stress state coefficient of the front and rear sliding areas is assumed to change linearly along the contact line of the rolled piece and the roller; neglecting the effect of tension, the stress state coefficients of the rolled pieces at the inlet and outlet are
The stress state coefficient of the rolled piece in the rolling area is a fixed value; calculating stress state coefficient eta of rolled piece when upper and lower rollers of rolling mill move asymmetricallyσ，ησThe calculation formula of (2) is as follows:
wherein, thetan1At dynamic upper work roll neutral angle, θn2Neutral angle of lower working roll, eta, in dynamic stateσmaxThe maximum stress state coefficient of the deformation zone;
from equation (3):
substituting formula (6) into formula (5) yields:
eta in the formulae (5) and (7)σmaxThe calculation formula of (2) is as follows:
wherein h is the inlet thickness of the rolled piece, hnThe thickness of the rolled piece at the neutral angle position is shown, and e is the reduction rate;
the reduction rate e is calculated by the formula:
h in formula (8)nThe calculation formula of (2):
theta in the formula (10)nThe calculation formula of (2) is as follows:
d. the calculation formula of the dynamic rolling force P of the hot rolling is as follows:
substituting formula (4), formula (7), formula (8), formula (9), formula (10), and formula (11) into formula (12) yields:
e. the horizontal dynamic model of the working roll is as follows:
wherein m is the mass of the working roll and its bearings and bearing seats, cxDamping coefficient, k, for horizontal movement of rollsxThe stiffness coefficient, x, for horizontal movement of the rolls1For horizontal displacement of the upper work rolls, x2Horizontal displacement of the lower working roll;
mu in the formula (15) is the friction coefficient of the deformation region, and the calculation formula is as follows:
wherein, musIs static friction coefficient, chi is negative friction damping coefficient,
is the first derivative of x;
sin β in formula (14) is calculated by the following formula:
wherein x is1Is the horizontal displacement of the upper working roll; x is the number of2Horizontal displacement of the lower working roll;
f. subtracting the two equations in the equation (14) and substituting the equations (15), (16) and (17) to obtain a kinetic analysis equation of the horizontal self-excited vibration of the work rolls of the hot finishing mill, that is:
wherein,
is x1The first derivative of (a) is,
is x2The first derivative of (a) is,
is x1The second derivative of (a) is,
is x2P is the rolling force calculated by the formula (13).
2. The dynamic modeling method of analyzing hot finishing mill work roll horizontal self-excited vibrations as set forth in claim 1, characterized in that the rolled piece contact zone length/, is calculated according to the following formula:
l＝R*α (19)
where α is the bite angle.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202010507881.1A CN111651891B (en) | 2020-06-05 | 2020-06-05 | Dynamic modeling method for analyzing horizontal self-excited vibration of working roll of hot-rolling finishing mill |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202010507881.1A CN111651891B (en) | 2020-06-05 | 2020-06-05 | Dynamic modeling method for analyzing horizontal self-excited vibration of working roll of hot-rolling finishing mill |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN111651891A CN111651891A (en) | 2020-09-11 |
| CN111651891B true CN111651891B (en) | 2022-03-11 |
Family
ID=72347120
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202010507881.1A Active CN111651891B (en) | 2020-06-05 | 2020-06-05 | Dynamic modeling method for analyzing horizontal self-excited vibration of working roll of hot-rolling finishing mill |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN111651891B (en) |
Families Citing this family (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN113787095B (en) * | 2021-09-03 | 2024-05-03 | 太原理工大学 | Metal composite plate rolling device capable of applying horizontal vibration |
| CN115795926B (en) * | 2023-02-08 | 2023-05-09 | 太原理工大学 | Method for constructing barreling finishing processing test model based on similarity theory |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105537269A (en) * | 2015-12-15 | 2016-05-04 | 苏州大学 | Control method of rolling of central hole defect of continuously-cast thick blank |
| CN108405631A (en) * | 2018-03-02 | 2018-08-17 | 南京航空航天大学 | A method of the regulation and control asymmetric interior shearing course of hot rolling bending degree of super thick aluminium sheet |
-
2020
- 2020-06-05 CN CN202010507881.1A patent/CN111651891B/en active Active
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105537269A (en) * | 2015-12-15 | 2016-05-04 | 苏州大学 | Control method of rolling of central hole defect of continuously-cast thick blank |
| CN108405631A (en) * | 2018-03-02 | 2018-08-17 | 南京航空航天大学 | A method of the regulation and control asymmetric interior shearing course of hot rolling bending degree of super thick aluminium sheet |
Non-Patent Citations (4)
| Title |
|---|
| Rolling Force Model of Heavy Cylinder Based on Non-uniform Stress Distribution;Sun J , Liu H , Peng Y , et al;《Journal of Mechanical Engineering》;20150930;全文 * |
| 基于能量法的板带轧制力和形状控制数学模型研究;刘元铭;《中国优秀博士学位论文全文数据库 工程科技Ⅰ辑》;20191115;全文 * |
| 热轧板带轧机系统动力学建模及动特性研究;张明;《中国优秀博士学位论文全文数据库 工程科技Ⅰ辑》;20190115;全文 * |
| 考虑上下工作辊非对称运动的热轧机水平振动研究;张明，彭艳，孙建亮等;《中南大学学报(自然科学版)》;20171231;全文 * |
Also Published As
| Publication number | Publication date |
|---|---|
| CN111651891A (en) | 2020-09-11 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN111651891B (en) | Dynamic modeling method for analyzing horizontal self-excited vibration of working roll of hot-rolling finishing mill | |
| CN114091308B (en) | Six-roller cold rolling mill critical vibration speed prediction method based on three-dimensional model | |
| CN100550029C (en) | Friction coefficient forecasting and establishing method in the cold-continuous-rolling high-speed rolling process | |
| CN106391725B (en) | One kind is suitable for cold-rolled process draught pressure and changes forecasting procedure with mill speed | |
| CN116078831B (en) | Method for calculating rolling force in sheet and strip cold rolling dynamic thinning production process | |
| Kim et al. | Dynamic modeling and numerical analysis of a cold rolling mill | |
| Philipp et al. | Front end bending in plate rolling influenced by circumferential speed mismatch and geometry | |
| CN102861772B (en) | Method for determining minimum rolling gauge of extra-thin belt in asynchronous rolling | |
| Qingxue et al. | Velocity field analysis of bonding interface on cold-rolled copper/aluminum composite plate | |
| Knight et al. | Investigations into the influence of asymmetric factors and rolling parameters on strip curvature during hot rolling | |
| Knight et al. | Influence of roll speed mismatch on strip curvature during the roughing stages of a hot rolling mill | |
| Zeng et al. | Multiple‐Modal‐Coupling Modeling and Stability Analysis of Cold Rolling Mill Vibration | |
| CN114602980B (en) | Method for measuring equivalent strain of central part of medium plate after same-diameter and different-speed rolling | |
| CN105013835A (en) | Original roller seam setting method based on thermal crown in ultra-thin strip rolling conducted by cold continuous rolling unit | |
| CN102632079B (en) | Device for restraining vibration of high-speed mill by using inertia flywheel | |
| CN109926456B (en) | Rolling force forecasting method in mixed lubrication state | |
| CN110227721B (en) | Control method for roll gap of rolling mill in speed change process | |
| Pesin et al. | Finite element analysis of symmetric and asymmetric three-roll rolling process | |
| CN102921735B (en) | Device for restraining vibration of high-speed rolling mill by reducing speed fluctuation of rolling inlet of aluminum foil | |
| Li et al. | Vibration analysis of steel strip in continuous hot-dip galvanizing process | |
| CN202893818U (en) | Device for restraining vibration of high-speed rolling mill by reducing speed fluctuation of rolling inlet of aluminum foil | |
| CN118305188B (en) | Prediction method and device for roll gap of roll in unsteady state process | |
| Hailiang | FE analysis of evolution of defects during rolling | |
| Davoodi et al. | Numerical and experimental investigation of roll forces and torques in cold roll forming of a channel section | |
| Zhou et al. | Advances and Trends in Forming Curved Extrusion Profiles. Materials 2021, 14, 1603 |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |