轧机中板形英文文献和翻译

Presented is a newcomputationalmethod for predicting the static cross-sectional thickness
proﬁle of rolled metal strip. Methods to model the strip proﬁle and related ﬂatness with
improved efﬁciency and accuracy remain central for achieving high quality ﬂat-rolled prod-
ucts. The new method involves a novel combination of Timoshenko beam ﬁnite elements
with multiple coupled Winkler elastic foundations. It applies to simple mill conﬁgura-
tions, such as the common 4-high rolling mill, in addition to complex mill types, such
as the 20-high Sendzimir mill. The inherent beneﬁts over traditional strip proﬁle mod-
els include non-discrete elastic foundations, cubic displacement ﬁelds, rapid solution, and
mixed boundary conditions. The ﬂexible nature of the model allows it to readily accommo-
date typical mechanisms used in industry to control strip proﬁle, such as roll crowning,
roll bending, roll shifting, and roll crossing. Comparison of the predicted displacement
for a 4-high mill with that obtained using a large-scale ﬁnite element simulation pro-
vides validation of the presented strip proﬁle calculation method for real-time industrial
applications.1. Introduction 5279
To remain viable in a highly competitive global market, met-
alsmanufacturersmust embrace newtechnologies to increase
the quality of rolled metal products, including steel, alu-
minum, titanium, copper, and brass. In response to this need,
presented is a new mathematical method to efﬁciently cal-
culate the cross-sectional thickness proﬁle of rolled metal
strip, an important dimensional quality attribute of ﬂat-rolled
metals. The new method is suitable for application with real-
time computer systems for predicting and controlling the strip
thickness proﬁle.
1.1. Dimensional quality requirements for rolled metal
strip
The rolling operation is characterized by incidental elastic
deﬂection of the mill housing, rolls, bearings, and other com-
ponents occurring simultaneously with the elastic–plastic
deﬂection of the rolled strip. These combined deﬂections fre-
quently lead to a non-uniform reduction in the thickness
of the rolled strip, and hence a non-uniform ﬁnal thick-
ness proﬁle, as indicated for example in Fig. 1. Many factors
inﬂuence the evolution of a given strip proﬁle, including the
mill conﬁguration, operating loads, proﬁle control devices,and the incoming strip proﬁle from a prior rolling operation.
Although the general convex proﬁle of Fig. 1 occursmost often,
other arbitrary proﬁles are possible, including concave types,
depending on the proﬁle control settings and other parame-
ters.
A commonly usedmetric to quantify the strip proﬁle is the
strip “crown”, denoted C(x). The strip crown is deﬁned as the
difference between the thickness, H(0), at the strip center, and
the thickness, H(x), at an arbitrary location x, as indicated in
the following equation
C(x) = H(0) − H(x) (1)
Because of end-user requirements to evaluate the differ-
ence in strip thickness at the center and edges, respectively, it
is customary to calculate an average strip crown at a small
distance from the two edges of the strip. When this refer-
ence distance, indicated as “a”in Fig. 1, is 25mm, the resulting
crownmetric is known as “C25” crown. Control of the strip pro-
ﬁle usually requires maintaining a target relative strip crown,
CR(x),which is the ratio of the strip crown to a reference value,
typically the strip center thickness, H(0).
An equally important dimensional quality parameter of
ﬂat-rolled metals is the strip “ﬂatness” or “shape”. Whereas
crown is the variation in thickness across the strip width, ﬂat- 轧机中板形英文文献和翻译:http://www.751com.cn/fanyi/lunwen_2251.html