TECHNICAL FIELD
[0001] The present invention relates to a rolling mill, or more specifically, to a device
to control vibration of a hot rolling mill which occurs in the course of rolling with
the rolling mill.
BACKGROUND ART
[0002] Hot rolling may cause mill vibration in the course of rolling. The mill vibration
means vibration of upper and lower work rolls (WRs) in a horizontal direction (a rolling
direction) and in mutually reverse phases. Here, the mutually reverse phases represent
a phenomenon that the lower WR moves to a downstream side when the upper WR moves
to an upstream side, and on the other hand, the lower WR moves to the upstream side
when the upper WR moves to the downstream side. The mill vibration leads to a fluctuation
in strip thickness, loosening of various fastening bolts used in the rolling mill,
vibration of pipes, and the like.
[0003] The vibration has heretofore been controlled by focusing on a static stiffness. Specifically,
a conventional concept has been designed to eliminate a gap between a housing and
a work roll chock in a rolling mill by applying pressure with a hydraulic cylinder,
and thus to improve the static stiffness in a horizontal direction. Further, by way
of extension, the static stiffness has been improved by reducing a diameter (an orifice
diameter) of an orifice provided to a hydraulic supply-discharge pipe of a hydraulic
cylinder (see Patent Document 1 below).
PRIOR ART DOCUMENT
PATENT DOCUMENT
[0004] Patent Document 1: Japanese Patent Application Publication No.
2001-113308
SUMMARY OF THE INVENTION
PROBLEMS TO BE SOLVED BY THE INVENTION
[0005] As described above, the conventional technique provides the reduced orifice diameter
(about φ2.0 mm or below) as the means for further improving the static stiffness.
Nonetheless, the reduction in the orifice diameter has a limitation because too small
an orifice diameter may cause dust clogging, a failure to achieve a designed cylinder
operation speed, and the like. Hence, there has been a problem that a sufficient vibration
control effect was not actually available therefrom.
[0006] In view of the above, an object of the present invention is to provide a rolling
mill which is capable of controlling mill vibration without having to reduce an orifice
diameter excessively.
MEANS FOR SOLVING THE PROBLEMS
[0007] A rolling mill according to a first aspect of the invention to solve the above problems
is characterized in that the rolling mill comprises:
a housing;
a pair of upper and lower work roll chocks supported by the housing;
a pair of upper and lower work rolls opposed to each other and pivotally supported
by the pair of upper and lower work roll chocks, respectively;
roll gap controlling means for applying a predetermined pressure to the work rolls;
a pair of upper and lower first supporting means provided to the housing at positions
on one side in a rolling direction for supporting the pair of upper and lower work
roll chocks; and
a pair of upper and lower second supporting means provided to the housing at positions
on another side in the rolling direction for supporting the pair of upper and lower
work roll chocks, wherein
the first supporting means is used as hydraulic pressing means and is made capable
of pressing the pair of upper and lower work roll chocks in a horizontal direction,
a flow contracting unit and an expanding unit are provided to a portion of a hydraulic
supply-discharge pipe on a head side of the hydraulic pressing means, while disposing
the flow contracting unit closer to the hydraulic pressing means than the expanding
unit, and
an inside diameter of the flow contracting unit is set equal to or above φ2.5 mm and
in a size of from 15% to 85% relative to an inside diameter of the hydraulic supply-discharge
pipe.
[0008] A rolling mill according to a second aspect of the invention to solve the above problems
is the rolling mill according to the first aspect of the invention, characterized
in that a volume of the expanding unit is set in a range from 7% to 180% relative
to a volume of the hydraulic pressing means.
[0009] A rolling mill according to a third aspect of the invention to solve the above problems
is the rolling mill according to the first or second aspect of the invention, characterized
in that a distance between the flow contracting unit at the hydraulic supply-discharge
pipe and the hydraulic pressing means is set equal to or below 7 m.
[0010] A rolling mill according to a fourth aspect of the invention to solve the above problems
is the rolling mill according to any one of the first to third aspects of the invention,
characterized in that a distance between the expanding unit and the flow contracting
unit at the hydraulic supply-discharge pipe is set equal to or below 3.5 m.
EFFECT OF THE INVENTION
[0011] According to a rolling mill of the present invention, it is possible to control mill
vibration without having to reduce an orifice diameter excessively.
BRIEF DESCRIPTION OF THE DRAWINGS
[0012]
[Fig. 1] Fig. 1 includes schematic diagrams of a rolling mill according to a first
embodiment of the present invention.
[Fig. 2] Fig. 2 includes graphs showing relations of an orifice diameter with a static
stiffness, a damping ratio, and a dynamic stiffness, respectively, in a conventional
rolling mill.
[Fig. 3] Fig. 3 includes graphs showing relations of an orifice diameter with a static
stiffness, a damping ratio, and a dynamic stiffness, respectively, in the rolling
mill according to the first embodiment of the present invention.
[Fig. 4] Fig. 4 is an analysis model diagram concerning the dynamic stiffness of the
rolling mill according to the first embodiment of the present invention.
[Fig. 5] Fig. 5 is a graph showing an excitation force and a work roll displacement
in the rolling mill according to the first embodiment of the present invention.
[Fig. 6] Fig. 6 is a graph showing a relation between an excitation frequency and
the dynamic stiffness in the rolling mill according to the first embodiment of the
present invention.
[Fig. 7] Fig. 7 illustrates graphs showing a relation between the orifice diameter
and a dynamic stiffness ratio in the rolling mill according to the first embodiment
of the present invention.
[Fig. 8] Fig. 8 illustrates graphs showing a relation between a chamber volume and
the dynamic stiffness ratio in the rolling mill according to the first embodiment
of the present invention.
[Fig. 9] Fig. 9 is a graph showing a relation between a cylinder-to-orifice distance
and the dynamic stiffness ratio in the rolling mill according to the first embodiment
of the present invention.
[Fig. 10] Fig. 10 is a graph showing a relation between an orifice-to-chamber distance
and the dynamic stiffness ratio in the rolling mill according to the first embodiment
of the present invention.
MODE FOR CARRYING OUT THE INVENTION
[0013] In regard to a rolling mill according to the present invention, the earnest investigations
by the inventors have revealed a characteristic that a damping ratio varies with an
orifice diameter by providing an appropriate chamber, and also the existence of an
appropriate range for the orifice diameter from the viewpoint of controlling mill
vibration by focusing on a dynamic stiffness derived from a static stiffness and the
damping ratio. In addition, the existence of an appropriate range for a chamber volume
has also been revealed. A rolling mill according to the present invention will be
described below in the form of an embodiment and by using the drawings.
[First Embodiment]
[0014] First, a rolling mill according to a first embodiment of the present invention will
be described by using Fig. 1. Fig. 1 includes schematic diagrams of the rolling mill
according to the first embodiment of the present invention.
[0015] As shown in Fig. 1 (a), the rolling mill according to the first embodiment of the
present invention includes a housing 11, work rolls 12, work roll chocks 13, backup
rolls 14, backup roll chocks 15, roll gap controlling means 16, hydraulic cylinders
17 (hydraulic pressing means, first supporting means), housing liners 18 (second supporting
means), a hydraulic supply-discharge pipe 19, an orifice 20 (a flow contracting unit),
a chamber 21 (an expanding unit), and a hydraulic pressure source 22.
[0016] The pair of upper and lower work roll chocks 13 are supported by the housing 11.
[0017] The pair of upper and lower work rolls 12 are opposed to each other and are pivotally
supported by the pair of upper and lower work roll chocks 13, respectively.
[0018] The pair of upper and lower backup rolls 14 are pivotally supported by the pair of
upper and backup roll chocks 15 and are opposed to the pair of upper and lower work
rolls 12, respectively.
[0019] The roll gap controlling means 16 applies a predetermined pressure to the work rolls
12 through the backup rolls 14.
[0020] The pair of upper and lower hydraulic cylinders 17 are provided to the housing 11
at positions on one side in a rolling direction so as to support the pair of upper
and lower work roll chocks 13, and are made capable of pressing the pair of upper
and lower work roll chocks 13 in a horizontal direction.
[0021] The pair of upper and lower housing liners 18 are provided to the housing 11 at positions
on the other side in the rolling direction so as to support the pair of upper and
lower work roll chocks 13.
[0022] The orifice 20 and the chamber 21 are provided to a portion of the hydraulic supply-discharge
pipe 19 on a head side of the corresponding hydraulic cylinder 17 such that the orifice
20 is disposed closer to the hydraulic cylinder 17 than the chamber 21 is. Alternatively,
as shown in Fig. 1(b), the rolling mill according to the first embodiment of the present
invention may be configured to dispose the chamber 21 while branching off a pipe from
the hydraulic supply-discharge pipe 19.
[0023] In the following, a description will be given of an orifice diameter (an inside diameter
of the orifice 20).
[0024] The rolling mill according to the first embodiment of the present invention focuses
on an improvement of a dynamic stiffness in the horizontal direction of the rolling
mill in order to control mill vibration. The dynamic stiffness (K
d) is expressed by 2 × a static stiffness (K) × a damping ratio (ζ).
[0025] Fig. 2 includes graphs showing relations of an orifice diameter with a static stiffness,
a damping ratio, and a dynamic stiffness, respectively, in a conventional rolling
mill. Fig. 3 includes graphs showing relations of the orifice diameter with the static
stiffness, the damping ratio, and the dynamic stiffness, respectively, in the rolling
mill according to the first embodiment of the present invention. Figs. 2 (a) and 3
(a) are each a graph showing the relation between the static stiffness and the orifice
diameter. Figs. 2(b) and 3(b) are each a graph showing the relation between the damping
ratio and the orifice diameter. Figs. 2(c) and 3(c) are each a graph showing the relation
between the dynamic stiffness and the orifice diameter.
[0026] As shown in Figs. 2(a) and 2(b), the static stiffness and the dynamic stiffness have
heretofore been considered to become larger as the orifice diameter is made smaller
based on the concept that the damping ratio remains constant irrespective of the orifice
diameter. However, the earnest investigations by the inventors have revealed the characteristic
that the damping ratio varies with the orifice diameter as shown in Fig. 3(b) by providing
an appropriate chamber.
[0027] Specifically, as shown in Figs. 3(a) and 3(b), while the static stiffness becomes
larger as the orifice diameter is made smaller, the damping ratio is reduced because
oil in the hydraulic supply-discharge pipe 19 flows less smoothly in the orifice 20.
On the other hand, while the static stiffness becomes smaller as the orifice diameter
is made larger, the damping ratio is increased because the oil in the hydraulic supply-discharge
pipe 19 flows more smoothly in the orifice 20.
[0028] Further, as shown in Fig. 3(c), it turned out that the dynamic stiffness was improved
in particular by setting the orifice diameter within a predetermined range (to be
described later).
[0029] In the past, nonetheless, in the case where only an orifice 20 was provided to the
hydraulic supply-discharge pipe 19, the orifice diameter has been reduced (to about
φ 2.0 mm or below) while focusing only on the static stiffness based on the concept
as shown in Figs. 2 (a) and 2(b) that the damping ratio remains constant even if the
orifice diameter is expanded.
[0030] However, it turned out that the installation of the chamber 21 made it possible to
improve the damping ratio along with the expansion of the orifice diameter as mentioned
above. Accordingly, this embodiment provides the chamber 21, and finds an appropriate
range of the orifice diameter, which can further increase a vibration control effect,
by focusing on the orifice diameter and the damping ratio, i.e., the dynamic stiffness.
[0031] In the meantime, a valve stand is located distant from the hydraulic cylinder 17
and the diameter of the hydraulic supply-discharge pipe 19 is reduced by using the
orifice 20 as well. Accordingly, the mere provision of the orifice 20 can result in
a situation where the oil inside the hydraulic supply-discharge pipe 19 flows less
smoothly whereby the damping ratio is kept from increasing.
[0032] On the other hand, according to the rolling mill of the first embodiment of the present
invention, the chamber is installed in the middle of the hydraulic supply-discharge
pipe 19 and on an outlet side of orifice 20, so that the damping ratio can be improved
by creating a pressure difference while feeding the oil through the orifice 20.
[0033] Meanwhile, from the viewpoint of the dynamic stiffness, it also turned out that the
dynamic stiffness was improved in particular by setting a volume of the chamber 21
within predetermined range (to be described later).
[0034] Now, the range of the orifice diameter with which to improve the dynamic stiffness
in particular will be determined.
[0035] Fig. 4 is a simulation model diagram in terms of the dynamic stiffness. Fig. 4 depicts
models by using A as the orifice 20, B as the hydraulic supply-discharge pipe 19,
K1 as a housing spring constant, K as the static stiffness of the model as a whole,
c as a damping coefficient of a structure, D as the housing 11, E as the work rolls
12 and the work roll chocks 13, F as the hydraulic cylinder 17, and P as the hydraulic
pump, respectively. Here, motion equations of the work rolls 12 and the work roll
chocks 13, and a characteristic of the orifice 20 to determine its flow rate depending
on the pressure difference are incorporated.
[0036] According to Fig. 4, the motion equations are expressed by the following formulae
(1) and (2):
[Formula 1]

where f
0: excitation force, ω: excitation frequency, F
oil: force from hydraulic pressure cylinder, X: work roll displacement, m: mass of work
roll and work roll chock, c: damping coefficient, k = K1: housing spring constant,
and t: time; and
[Formula 2]

where Q
or: orifice flow rate, A
or: orifice cross-sectional area, ΔP: pressure difference between back and front of
orifice, ρ: hydraulic oil density, and co: flow rate coefficient.
[0037] In addition, the dynamic stiffness K
d is expressed by the following formula (3):
[Formula 3]

[0038] From the formula (1), a relation between the excitation force f
0 and the work roll displacement X is derived as shown in a graph of Fig. 5.
[0039] Then, the work roll displacement X for each excitation frequency ω is calculated
and a ratio of the excitation force f
0 to the work roll displacement X is calculated (the formula (3)). Note that values
of this ratio vary with values of the excitation frequency ω as shown in Fig. 6.
[0040] Therefore, the smallest value out of the ratios of the excitation force f
0 to the work roll displacement X that vary with the values of the excitation frequency
ω is evaluated as the dynamic stiffness K
d. Specifically, the dynamic stiffness K
d is defined as the smallest value out of the ratios of the excitation force f
0 to the work roll displacement X, which are obtained by giving values of the excitation
force f
0 to the respective excitation frequency ω. The dynamic stiffness K
d is a value to determine movement at the time of vibration.
[0041] The values of the dynamic stiffness K
d are evaluated as described above by using various orifice diameters. Results are
shown in Figs. 7(a) and 7(b).
[0042] Fig. 7 (a) is a graph showing a relation between the orifice diameter and the dynamic
stiffness ratio, and Fig. 7(b) is a graph showing a relation between the dynamic stiffness
ratio and a ratio of the orifice diameter to an inside diameter of the hydraulic supply-discharge
pipe 19 (an orifice diameter-to-pipe-inside-diameter ratio). Here, Fig. 7(a) shows
the case where the inside diameter (the pipe inside diameter) of the hydraulic supply-discharge
pipe 19 is equal to φ18 mm. In the meantime, the dynamic stiffness ratio means a ratio
to the dynamic stiffness when the orifice diameter is equal to 0, i.e., when the hydraulic
cylinder is fully closed (the same applies to Figs. 8 and 9).
[0043] As shown in Figs. 7(a) and 7(b), the orifice diameter previously designed to be equal
to or below about φ2.0 mm is then designed in a larger size to the contrary. In this
way, it turned out that the dynamic stiffness ratio was improved further. Particularly,
in Fig. 7(a), there are inflection points where the orifice diameter is equal to 2.5
mm and 15 mm, respectively, and the dynamic stiffness ratio rises sharply in the range
from 2.5 mm to 15 mm inclusive. In Fig. 7 (b), there are inflection points where the
orifice diameter-to-pipe-inside-diameter ratio is equal to 0.15 (15%) and 0.85 (85%),
respectively, and the dynamic stiffness ratio rises sharply in the range from 15%
to 85% inclusive.
[0044] In addition, the previously problematic dust clogging is less likely to occur by
setting the orifice diameter equal to or above φ2.5 mm.
[0045] Accordingly, in the rolling mill of the first embodiment of the present invention,
the orifice diameter is set to such a size equal to or above φ2.5 mm with the ratio
to the pipe inside diameter within the range of 15% to 85%. In this case, the dynamic
stiffness ratio is improved to 1.2 or above.
[0046] Meanwhile, a relation between a volume of the chamber 21 and the dynamic stiffness
ratio has also been sought. Results turned out as shown in Figs. 8(a) and 8(b).
[0047] Fig. 8 (a) is a graph showing a relation between the volume of the chamber 21 (a
chamber volume) and the dynamic stiffness ratio, and Fig. 8(b) is a graph showing
a relation between the dynamic stiffness ratio and a ratio of the chamber volume to
a volume of the hydraulic cylinder 17 (a chamber-volume-to-cylinder-volume ratio).
[0048] Here, the cylinder volume is defined as a volume to be determined by a cylinder diameter
and a stroke. In a specific example, when the cylinder sizes is described as D 250
mm (a head diameter) / d 230 mm (a rod diameter) × a 90-mm stroke, the cylinder volume
Vc is expressed by Vc = (π/4) × 25
2 × 9 (cm
3), which is equal to about 4.4 liters. Accordingly, the chamber-volume-to-cylinder-volume
ratio is in a range from 0.07 to 1.8 in the case of the chamber volume in a range
from 0.3 to 8.0 liters as described later.
[0049] As shown in Fig. 8(a), when the chamber volume is equal to or above 0.3 liter, the
dynamic stiffness ratio is improved to 1.2 and above, or up to about 3.0 at the maximum.
In other words, as shown in Fig. 8(b), when the chamber-volume-to-cylinder-volume
ratio is equal to or above 0.07, the dynamic stiffness ratio is improved to 1.2 and
above, or up to about 3.0 at the maximum.
[0050] Here, regarding values of the chamber volume greater than 8.0 liters in Fig. 8(a),
i.e., values of the chamber-volume-to-cylinder-volume ratio greater than 1.8 in Fig.
8(b), the graphs reach saturation levels where the dynamic stiffness ratio is hardly
improved anymore. Thus, the increase in chamber volume above the aforementioned value
turned out not to contribute to a significant increase in effect.
[0051] Accordingly, in the rolling mill of the first embodiment of the present invention,
the chamber-volume-to-cylinder-volume ratio is set equal to or above 0.07 and equal
to or below 1.8 (i.e., equal to or above 7% and equal to or below 180%). Here, the
dynamic stiffness ratio is equal to or above 1.2 in this case.
[0052] In the meantime, a relation between a distance from the hydraulic cylinder 17 to
the orifice 20 (a cylinder-to-orifice distance) and the dynamic stiffness ratio has
also been investigated. As a consequence, the dynamic stiffness ratio turns out to
be equal to or above 1.2 when the cylinder-to-orifice distance is equal to or below
7.0 m as shown in a graph of Fig. 9.
[0053] Accordingly, in the rolling mill of the first embodiment of the present invention,
the cylinder-to-orifice distance is set equal or below 7.0 m.
[0054] In addition, a relation between a distance from the orifice 20 to the chamber 21
(an orifice-to-chamber distance) and the dynamic stiffness ratio has also been investigated.
As a consequence, the dynamic stiffness ratio turns out to be equal to or above 1.2
when the orifice-to-chamber distance is equal to or below 3.5 m as shown in a graph
of Fig. 10.
[0055] Accordingly, in the rolling mill of the first embodiment of the present invention,
the orifice-to-chamber distance is set equal or below 3.5 m.
[0056] The rolling mill according to the first embodiment of the present invention has been
described above. In Figs. 1 and 2, the rolling mill according to the first embodiment
of the present invention is provided with the orifice 20 and the chamber 21 only on
the head side of the hydraulic supply-discharge pipe 19. In addition, however, another
orifice and another chamber may be provided on a rod side thereof. Alternatively,
on the rod side of the hydraulic supply-discharge tube 19, only the orifice may be
provided while not providing the chamber. In any case, the effect of the orifice 20
and the chamber 21 remains the same.
[0057] By adopting the above-described configuration, the rolling mill according to the
first embodiment of the present invention can control mill vibration without having
to reduce the orifice diameter excessively.
INDUSTRIAL APPLICABILITY
[0058] The present invention is suitable for a rolling mill, or more specifically, to a
device to control vibration of a hot rolling mill which occurs in the course of rolling
with the rolling mill.
REFERENCE SINGS LIST
[0059]
- 11
- housing
- 12
- work roll
- 13
- work roll chock
- 14
- backup roll
- 15
- backup roll chock
- 16
- roll gap controlling means
- 17
- hydraulic cylinder
- 18
- housing liner
- 19
- hydraulic supply-discharge pipe
- 20
- orifice
- 21
- chamber
- 22
- hydraulic pressure source