CN1796016A - Geometric model of new elongater for skew rolling tubular products - Google Patents

Abstract

The present invention relates to hot-rolled pipe elongation technique. Said technique can be directly used in skew-rolled pipe elongation equipment. Said invention provides a new geometrical model of pipe material elongator. It is basically characterized by that its rolls are arranged according to convergent form, namely, the cone angle Psi is less than O, in the coordinate system oxyz, the offset amount yo is not equal to O, and its feed angle beta and the offset amount yo can not be identical in size. Besides, said invention also provides four sets of equations, and utilizes them to make optimization calculation so as to obtain the invented geometrical model of skew-rolled pipe material elongator.

Description

The geometrical model of new oblique milling tubing elongator

Technical field

The present invention relates to a kind of hot rolling tubing elongation technology, this technology can directly apply to oblique milling tubing extension device.

Background technology

Modern common oblique milling tubing elongator has:

1) Diescher pipe mill

2) Assel pipe mill (roller trio skew rolling elongator)

3) ACCU ROLL pipe mill

4) roller trio skew rolling planetary rolling machine (PSW)

The phenomenon that any oblique milling process produces deformed area metal " cripling " is inevitable, this in order to alleviate " cripling ", with the raising mill speed, people have done a lot of discussions for many years, but produce little effect, helplessly developed the pipe mill (as Diescher pipe mill, ACCU ROLL pipe mill) of oblique-axial rolling combination, not only frame for movement is huge for this class pipe mill, simultaneously because the operation of rolling of oblique-axial rolling combination causes the milling train adjustment complicated.The roller trio skew rolling planetary rolling machine of early eighties exploitation in last century and the four roller oblique milling planetary rolling machines of developing recently are a kind of planetary cross-country power mechanisms, and roll is the convergence type and arranges, so metal " cripling " phenomenon is subjected to controlling significantly, but because the complicated shortcoming that also causes some to be difficult to accept of frame for movement.

Geometrical model according to above-mentioned four kinds of pipe mills utilizes the technical scheme of this patent to carry out Practical Calculation, just know these four kinds of pipe mills at operation of rolling deformed area metal " cripling " the serious and not high reason of mill speed.Show the geometrical model of above-mentioned four kinds of diagonal rolling pipe mills among Fig. 2 respectively.

A common feature of common oblique milling elongator geometrical model is that roll axis (Z axle) is adjusted centre of gyration O ₁Point all on the x of coordinate system shown in Figure 1 axle, does not have side-play amount on the y axle.What their geometrical models were different is roll off angle ψ=0 of Diescher pipe mill; Roll off angle ψ＞0 of Assel and ACCU ROLL pipe mill, roll are radial pattern and arrange; Roll off angle ψ＜0 of PSW, roll are the convergence type and arrange.

Below by results of calculation the disadvantage that above-mentioned several oblique milling elongator geometrical model exists is described.For the strong attitude quality of more several oblique milling elongator oblique milling, be set as follows identical design conditions:

Calculate the deformed area from begin to subtract wall again the section of tube reducing start at, up to subtract wall, tube reducing is ended simultaneously, calculate asynchronous region length 120mm, begin to subtract wall hollow billet exradius r=82.92mm on the section of tube reducing again, subtract wall tube reducing r=76.68mm at the end again, wall thickness reducing amount 6.24mm, feed angle β=8 °, roll axis is adjusted centre of gyration point O ₁Distance (being the amount of movement of roll axis on the x axle) x to the datum level of crossing the rolled piece axis ₀=290mm, side-play amount y ₀=0.

The geometrical model different according to various skew rolling mills, different design conditions are:

The Diescher pipe mill, roll off angle ψ=0,

The Assel pipe mill, ψ=4 °,

ACCU ROLL pipe mill, ψ=15 °,

PSW，ψ＝-55°。

Result of calculation is listed in table 1

The Rcos ξ of common oblique milling tubing elongator and Rcos ε value table 1

The last value mm of Z axle	Rolled piece section radius of circle mm	Diescher		Assel		ACCU ROLL		PSW
										Rcosξ mm	Rcosε mm	Rcosξ mm	Rcosε mm	Rcosξ mm	Rcosε mm	Rcosξ mm	Rcosε mm
		-60	82.92	28.82	205.19	28.58	200.50	27.18	182.67									18.05	166.82
-50	82.40									28.90	205.66	28.68	201.68	27.37	185.72	17.88	158.91
		-40	81.11	28.97	206.15	28.78	202.86	27.55	188.77									17.70	151.00
-30	81.36									29.04	206.64	28.88.	204.04	27.73	191.84	17.50	143.10
		-20	80.84	29.11	207.14	28.98	205.24	27.91	194.90									17.28	135.19
-10	80.32									29.18	207.64	29.08	206.44	28.09	197.98	17.04	127.29
		0	79.80	29.25	208.15	29.18	207.65	28.26	201.06									16.80	119.39
10	79.28									29.33	208.67	29.28	208.86	28.43	204.15	16.49	111.50
		20	78.76	29.40	209.20	29.38	210.08	28.59	207.25									16.17	103.61
30	78.24									29.47	209.73	29.48	211.31	28.75	210.35	15.81	95.72
		40	77.72	29.55	210.27	29.58	212.55	28.91	213.45									15.41	87.85
50	77.20									29.62	201.91	29.68	213.79	29.03	216.57	14.95	80.00
		60	76.68	29.69	211.37	29.77	215.04	29.23	219.29									14.43	72.11

The result of calculation of table 1 shows, only with regard to alleviating deformed area metal " cripling ", that best is PSW, be in particular in that Rcos ε value successively decreases from deformed area inlet to outlet, and lapse rate is also very big, like this, along with tube wall thickness from the inlet to exporting attenuation gradually, the metal lateral flow reduces significantly, has obviously alleviated metal " cripling " phenomenon to " cripling " responsive tenuity.So so, be because PSW has adopted the very big negative roll off angle of absolute value (being ψ＜0), cause rolled piece direction of rotation and roll speed vector forward angle ε to become big gradually from inlet to outlet.That the strong attitude of oblique milling is the poorest is ACCU ROLL, and its Rcos ε value increases progressively to outlet from the deformed area inlet, and its reason is its roll off angle ψ＞0; Assel also is ψ＞0, but the absolute value of ψ little than ACCU ROLL, so the strong attitude of oblique milling is more a shade better than ACCU ROLL; The ψ of Diescher=0, the strong attitude of its oblique milling is also more a shade better than Assel.

The common fault of common oblique milling elongator is, the rolled piece axial velocity is too small, and deformed area metal " cripling " serious (except the PSW) can not be realized pure oblique milling process, thus be because their geometrical model determines like this, side-play amount y not only ₀=0, and roll off angle ψ＞0.The ψ of PSW＜0, the absolute value of ψ is very big, thereby deformed area metal " cripling " is not serious, can realize pure oblique milling process, but the rolled piece axial velocity is too little.

Summary of the invention

The objective of the invention is to overcome the deficiency and the shortcoming of existing diagonal rolling pipe mill, propose a kind of geometrical model of new oblique milling tubing elongator.

The present invention proposes to describe four Mathematical Modelings of oblique milling process, be optimized calculating by them and obtain new oblique milling tubing elongator geometrical model, the purpose that on the oblique milling tubing elongator of new geometrical model, realizes alleviating deformed area metal " cripling " and improve mill speed.Use preceding two Mathematical Modelings, can also reasonably distribute deflection, design oblique milling elongator roll and Mannesmann piercing mill, hot tube expanding machine roll, top, they also are the Mathematical Modelings of accurately adjusting roll simultaneously; Use latter two Mathematical Modeling, can calculate the axial and rotary speed of rolled piece accurately.

A kind of geometrical model of new oblique milling tubing elongator, by improvement to the geometrical model of existing oblique milling tubing elongator, propose to realize the geometrical model of the optimized new oblique milling tubing elongator of oblique milling, it is characterized in that: roll is the convergence type and arranges, it is roll off angle ψ＜0, in coordinate system oxyz, side-play amount y ₀≠ 0, and feed angle β and side-play amount y ₀Can not jack per line, that is: a or b,

A, amount of movement x ₀＞0, roll is the convergence type and arranges roll off angle ψ for negative, and feed angle β is for bearing skew y ₀Amount is for just;

B, amount of movement x ₀＞0, roll is the convergence type and arranges roll off angle ψ for negative, and feed angle β is being for just, side-play amount y ₀For negative.

The geometrical model of described new oblique milling tubing elongator utilizes following (1) Mathematical Modeling, at known rolled piece curved surface β, ψ, r, x ₀, y ₀, z condition under, roll curved surface θ, X, Y, R, the Z parameter that can ask;

Get a z value, just can obtain one corresponding to roller radius R of this point with at coordinate system O ₁The coordinate figure of X, Y, Z among the XYZ is got several z values and is just obtained several corresponding R values and X, Y, Z, value, and several R values and Z, X, Y value have just constituted about coordinate system O ₁The roll curved surface of XYZ;

$\left(1\right)\left\{\begin{array}{c}z=z\\ \mathrm{tg\&theta;}=\frac{{\mathrm{<figure-callout\; id="0"\; label="y"\; filenames="A20041008231800171.png,A20041008231800181.png"\; state="\{\{state\}\}">y</figure-callout>}}_0\cos \mathrm{\&beta;}-z\sin \mathrm{\&beta;}}{{\mathrm{<figure-callout\; id="0"\; label="x"\; filenames="A20041008231800171.png,A20041008231800181.png"\; state="\{\{state\}\}">x</figure-callout>}}_0\cos \mathrm{\&beta;}+\mathrm{ztg\&Psi;}}\\ \left(\begin{array}{c}X\\ Y\\ Z\end{array}\right)=\left(\begin{array}{ccc}\cos \mathrm{\&Psi;}& \sin \mathrm{\&beta;}\sin \mathrm{\&Psi;}& -\cos \mathrm{\&beta;}\sin \mathrm{\&Psi;}\\ 0& \cos \mathrm{\&beta;}& \sin \mathrm{\&beta;}\\ \sin \mathrm{\&Psi;}& -\sin \mathrm{\&beta;}\cos \mathrm{\&Psi;}& \cos \mathrm{\&beta;}\cos \mathrm{\&Psi;}\end{array}\right)\left(\begin{array}{c}r\cos \mathrm{\&theta;}-x_0\\ r\sin \mathrm{\&theta;}-y_0\\ z\end{array}\right)\\ R=\sqrt{X^2+Y^2}\end{array}\right.$

Wherein:

β---feed angle,

ψ---roll off angle,

R---rolled piece exradius on the different rolled pieces cross section,

x ₀---roll axis is adjusted swivel point along the amount of movement on the x axle of coordinate system oxyz,

y ₀---roll axis is adjusted swivel point along the side-play amount on the y axle of coordinate system oxyz,

Z---metal and roll contact point be the coordinate figure on the z axle (rolled piece axis) in coordinate system oxyz,

θ---rolled piece cross section circle is gone up the parameter of the parametric equation of rolled piece cylindrical,

X---metal and roll contact point are at coordinate system O ₁Coordinate figure among the XYZ on the X-axis,

Y---metal and roll contact point are at coordinate system O ₁Coordinate figure among the XYZ on the Y-axis,

R---different rolls cross section topping roll radius,

Z---metal and roll contact point are at coordinate system O ₁Coordinate figure among the XYZ on the Z axle (roll axis);

Counterclockwise feed angle β that forms and roll off angle ψ get "+" number, and feed angle β that forms and roll off angle ψ get "-" number clockwise.

The geometrical model of described new oblique milling tubing elongator utilizes following (2) Mathematical Modeling, at known roll curved surface β, ψ, R, Z, x ₀, y ₀Under the parameter condition, can try to achieve rolled piece curved surface θ ', r, X ₀, Y ₀, Z ₀, x, y, z parameter;

Get a Z value, just can obtain a coordinate figure corresponding to rolled piece radius r value z in coordinate system oxyz of this point, just draw several corresponding r value and z values for several Z values, several r values and z value have just constituted the rolled piece curved surface about coordinate system oxyz.

$\left(2\right)\left\{\begin{array}{c}Z=Z\\ X_0=-x_0\cos \mathrm{\&Psi;}-{\mathrm{<figure-callout\; id="0"\; label="y"\; filenames="A20041008231800171.png,A20041008231800181.png"\; state="\{\{state\}\}">y</figure-callout>}}_0\sin \mathrm{\&beta;\&Psi;}\sin \\ {\mathrm{<figure-callout\; id="0"\; label="Y"\; filenames="A20041008231800171.png,A20041008231800181.png"\; state="\{\{state\}\}">Y</figure-callout>}}_0=-y_0\cos \mathrm{\&beta;}\\ Z_0=-x_0\sin \mathrm{\&Psi;}-y_0\sin \mathrm{\&beta;\&Psi;}\cos \\ {\mathrm{\&theta;}}^{\&prime;}=\mathrm{\&pi;}+\mathrm{arc}\left(\mathrm{tg}\frac{Y_0\cos \mathrm{\&beta;}+(Z-Z_0)\sin \mathrm{\&beta;}}{X_0\cos \mathrm{\&beta;}-(Z-Z_0)\mathrm{tg\&Psi;}}\right)\\ \left(\begin{array}{c}x\\ y\\ z\end{array}\right)=\left(\begin{array}{ccc}\cos \mathrm{\&Psi;}& 0& \sin \mathrm{\&Psi;}\\ \sin \mathrm{\&beta;}\sin \mathrm{\&Psi;}& \cos \mathrm{\&beta;}& -\sin \mathrm{\&beta;}\cos \mathrm{\&Psi;}\\ -\cos \mathrm{\&beta;}\sin \mathrm{\&Psi;}& \sin \mathrm{\&beta;}& \cos \mathrm{\&beta;}\cos \mathrm{\&Psi;}\end{array}\right)\left(\begin{array}{c}R\cos {\mathrm{\&theta;}}^{\&prime;}\\ R\sin {\mathrm{\&theta;}}^{\&prime;}\\ Z\end{array}\right)+\left(\begin{array}{c}{x}_0\\ y_0\\ 0\end{array}\right)\\ R=\sqrt{X^2+Y^2}\end{array}\right.$

Wherein:

β---feed angle,

ψ---roll off angle,

R---different rolls cross section topping roll radius,

x ₀---roll axis is adjusted swivel point along the amount of movement on the x axle of coordinate system oxyz,

y ₀---roll axis is adjusted swivel point along the side-play amount on the y axle of coordinate system oxyz,

Z---metal and roll contact point be the coordinate figure on the z axle (rolled piece axis) in coordinate system oxyz,

θ '---the parameter of different rolls cross section topping roll profile circle parametric equation,

R---rolled piece exradius on the different rolled pieces cross section,

X ₀---roll axis is adjusted swivel point along coordinate system O ₁Amount of movement on the X-axis of XYZ,

Y ₀---roll axis is adjusted swivel point along coordinate system O ₁Side-play amount on the Y-axis of XYZ,

Z ₀---roll axis is adjusted swivel point along coordinate system O ₁Amount of movement on the Z axle of XYZ

X---metal and the roll contact point coordinate figure on the x axle in coordinate system oxyz,

Y---metal and the roll contact point coordinate figure on the y axle in coordinate system oxyz,

Z---metal and roll contact point be the coordinate figure on the z axle (rolled piece axis) in coordinate system oxyz;

Counterclockwise feed angle β that forms and roll off angle ψ get "+" number, and feed angle β that forms and roll off angle ψ get "-" number clockwise.

The geometrical model of described new oblique milling tubing elongator utilizes described (3) Mathematical Modeling, at known roll curved surface or roll curved surface β, ψ, r, x ₀, y ₀, under the z, θ parameter condition, can try to achieve the forward angle ξ of roll speed direction and rolled piece axis; Calculate and compare the Rcos ξ value of different parameters,, constituted the geometrical model of new oblique milling tubing elongator corresponding to the bigger geometric parameter less of Rcos ξ with Rcos ε;

$\left(3\right)\left\{\begin{array}{c}z=z\\ \mathrm{tg\&theta;}=\frac{{\mathrm{<figure-callout\; id="0"\; label="y"\; filenames="A20041008231800171.png,A20041008231800181.png"\; state="\{\{state\}\}">y</figure-callout>}}_0\cos \mathrm{\&beta;}-z\sin \mathrm{\&beta;}}{x_0\cos \mathrm{\&beta;}+\mathrm{ztg\&Psi;}}\\ \cos \mathrm{\&xi;}=\frac{\left|\begin{array}{cc}r\cos \mathrm{\&theta;}-x_0& r\sin \mathrm{\&theta;}-{\mathrm{<figure-callout\; id="0"\; label="y"\; filenames="A20041008231800171.png,A20041008231800181.png"\; state="\{\{state\}\}">y</figure-callout>}}_0\\ \sin \mathrm{\&psi;}& -\sin \mathrm{\&beta;}\cos \mathrm{\&Psi;}\end{array}\right|}{\sqrt{{\left|\begin{array}{cc}r\sin \mathrm{\&theta;}-y_0& z\\ -\sin \mathrm{\&beta;\&Psi;}\cos & \cos \mathrm{\&beta;}\cos \mathrm{\&Psi;}\end{array}\right|}^2+{\left|\begin{array}{cc}z& r\cos \mathrm{\&theta;}-x_0\\ \cos \mathrm{\&beta;\&Psi;}\cos & \sin \mathrm{\&Psi;}\end{array}\right|}^2+{\left[\begin{array}{cc}r\cos \mathrm{\&theta;}-x_0& r\sin -{\mathrm{<figure-callout\; id="0"\; label="y"\; filenames="A20041008231800171.png,A20041008231800181.png"\; state="\{\{state\}\}">y</figure-callout>}}_0\\ \sin \mathrm{\&Psi;}& -\sin \mathrm{\&beta;\&Psi;}\cos \end{array}\right]}^2}}\end{array}\right.$

Wherein:

The roll speed direction on ξ---metal and the roll contact point and the forward angle of rolled piece axis,

β---feed angle,

ψ---roll off angle,

R---rolled piece exradius on the different rolled pieces cross section,

x ₀---roll axis is adjusted swivel point along the amount of movement on the x axle of coordinate system oxyz,

y ₀---roll axis is adjusted swivel point along the side-play amount on the y axle of coordinate system oxyz,

Z---metal and roll contact point be the coordinate figure on the z axle (rolled piece axis) in coordinate system oxyz,

θ---rolled piece cross section circle is gone up the parameter of rolled piece cylindrical parametric equation;

Counterclockwise feed angle β that forms and roll off angle ψ get "+" number, and feed angle β that forms and roll off angle ψ get "-" number clockwise;

Obtain the roll speed direction on metal and the roll contact point and the forward angle ξ of rolled piece axis, just can obtain on the contact point metal in the speed of rolling direction;

The more little mill speed of angle ξ is just big more, and the geometrical model difference of milling train, the size of angle ξ are also different; The geometrical model difference of milling train, the size of roller radius R are also different.Can be by the product " R cos ξ " of roller radius R and cos ξ symbol value as skew rolling mill geometrical model mill speed, " R cos ξ " is big more, and mill speed is just high more, and this index of mill speed is just excellent more, and the oblique milling state is just good more.

The geometrical model of described new oblique milling tubing elongator utilizes following (4) Mathematical Modeling, at known rolled piece curved surface or roll curved surface (β, ψ, r, x ₀, y ₀, z, θ parameter) under the condition, can try to achieve the forward angle ε of roll speed direction and rolled piece rolling tangential direction; Calculate and compare the Rcos ε value of different parameters,, constituted the geometrical model of new oblique milling tubing elongator corresponding to the less geometric parameter bigger of Rcos ε with Rcos ξ;

$\left(4\right)\left\{\begin{array}{c}z=z\\ \mathrm{tg\&theta;}=\frac{{\mathrm{<figure-callout\; id="0"\; label="y"\; filenames="A20041008231800171.png,A20041008231800181.png"\; state="\{\{state\}\}">y</figure-callout>}}_0\cos \mathrm{\&beta;}-z\sin \mathrm{\&beta;}}{x_0\cos \mathrm{\&beta;}+\mathrm{ztg\&Psi;}}\\ \cos \mathrm{\&epsiv;}=\\ \frac{-\left|\begin{array}{cc}r\sin \mathrm{\&theta;}-y_0& z\\ \sin \mathrm{\&beta;\&Psi;}\cos & \cos \mathrm{\&beta;\&Psi;}\cos \end{array}\right|\mathrm{tg\&theta;}+\left|\begin{array}{cc}z& r\cos \mathrm{\&theta;}-x_0\\ \cos \mathrm{\&beta;\&Psi;}\cos & \sin \mathrm{\&Psi;}\end{array}\right|}{\sqrt{{\left|\begin{array}{cc}r\sin \mathrm{\&theta;}-y_0& z\\ -\sin \mathrm{\&beta;\&Psi;}\cos & \cos \mathrm{\&beta;\&Psi;}\cos \end{array}\right|}^2+{\left|\begin{array}{cc}z& r\cos \mathrm{\&theta;}-x_0\\ \cos \mathrm{\&beta;\&Psi;}\cos & \sin \mathrm{\&Psi;}\end{array}\right|}^2+{\left[\begin{array}{cc}r\cos \mathrm{\&theta;}-x_0& r\sin -{\mathrm{<figure-callout\; id="0"\; label="y"\; filenames="A20041008231800171.png,A20041008231800181.png"\; state="\{\{state\}\}">y</figure-callout>}}_0\\ \sin \mathrm{\&Psi;}& -\sin \mathrm{\&beta;\&Psi;}\cos \end{array}\right]}^2}\sqrt{{\mathrm{tg}}^2\mathrm{\&theta;}+1}}\end{array}\right.$

Wherein:

The roll speed direction on ε---metal and the roll contact point and the forward angle of rolled piece direction of rotation,

β---feed angle,

ψ---roll off angle,

R---rolled piece exradius on the different rolled pieces cross section,

x ₀---roll axis is adjusted swivel point along the amount of movement on the x axle of coordinate system oxyz,

y ₀---roll axis is adjusted swivel point along the side-play amount on the y axle of coordinate system oxyz,

Z---metal and roll contact point be the coordinate figure on the z axle (rolled piece axis) in coordinate system oxyz,

θ---rolled piece cross section circle is gone up the parameter of the parametric equation of rolled piece cylindrical;

Counterclockwise feed angle β that forms and roll off angle ψ get "+" number, and feed angle β that forms and roll off angle ψ get "-" number clockwise;

The more little rolled piece rotary speed of forward angle ε of roll speed direction on metal and the roll contact point and rolled piece direction of rotation is just big more, and the metal lateral flow is just many more, and deformed area metal " cripling " is just serious more, and just the oblique milling state is just poor more.Outside the Pass the size of rolled piece rotary speed and angle ε have, still relevant with roller radius R, therefore also should represent the quality of skew rolling mill geometrical model oblique milling state by product " the R cos ε " value of roller radius R and cos ε, the more little oblique milling state of R cos ε is more all right.

The beneficial effect that the present invention has compared with prior art is:

Be optimized to calculate and obtain new oblique milling tubing elongator geometrical model, the purpose that on the oblique milling tubing elongator of new geometrical model, realizes alleviating deformed area metal " cripling " and improve mill speed.

In addition, use preceding two in above-mentioned four mathematics equation group, can reasonably distribute deflection, instruments such as design oblique milling elongator roll and Mannesmann piercing mill, hot tube expanding machine roll, top; They also are the Mathematical Modelings of accurately adjusting roll simultaneously; Use latter two Mathematical Modeling, can calculate the axial and rotary speed of rolled piece accurately.

Description of drawings

Fig. 1 coordinate system that Mathematical Modeling is set up of deriving;

The geometrical model of the common oblique milling elongator of Fig. 2, i.e. Diescher pipe mill, Assel pipe mill, ACCU ROOL pipe mill and psw geometrical model;

The geometrical model a roll off angle Ψ of the new oblique milling tubing of Fig. 3 elongator is for negative, and feed angle β is negative, side-play amount y ₀For just; B roll off angle Ψ is for negative, feed angle β for just, side-play amount y ₀For negative.

In Fig. 1 derived the coordinate system that Mathematical Modeling sets up, the rolled piece axis was on the z of coordinate system oxyz axle, and roll axis is at coordinate system O ₁On the Z axle of XYZ.Coordinate system O ₁XYZ is got through twice rotation and twice translation by coordinate system oxyz.Rotation for the first time is rich x axle rotation β angle, and "+" got at the β angle that is rotated counterclockwise formation, get "-" that turns clockwise and form; Rotation for the second time is rich y axle rotation Ψ angle, and "+" got at the Ψ angle that is rotated counterclockwise formation, get "-" that turns clockwise and form.Twice translation is respectively along x axle and the mobile x of y axle ₀And y ₀Value.Rotation for the first time forms corner β angle, is exactly feed angle; The corner Ψ that rotation for the second time forms is exactly the roll off angle.

The specific embodiment

Describe the specific embodiment of the present invention in detail below in conjunction with drawings and Examples.

At first draft the geometrical model of an oblique milling tubing elongator: feed angle β=8 °, roll axis is adjusted centre of gyration point O ₁To the distance of the datum level of crossing the rolled piece axis, i.e. the amount of movement x of roll axis on the x axle ₀=290mm, roll off angle ψ=-20 °, side-play amount y ₀=-80mm.

Calculate the identical of existing oblique milling tubing elongator in other design conditions and the background technology, that is: calculate the deformed area from begin to subtract wall again the section of tube reducing start at, up to subtracting wall, tube reducing end of a period, calculate asynchronous region length 120mm, begin to subtract wall hollow billet exradius r=82.92mm on the section of tube reducing again, subtract wall tube reducing r=76.68mm at the end again, wall thickness reducing amount 6.24mm.These conditions have been described the rolled piece curved surface of deformed area, therefore use equation group (1) (if the known roll curved surface meets the tendency with equation group (2)), calculate the related parameter that has of curved surface, utilize then equation group (3) and equation group (4) calculate respectively roll speed direction and rolling direction forward angle ξ and with the forward angle ε of rolled piece direction of rotation, and calculate Rcos ξ value and Rcos ε value, thereby judge the quality of oblique milling situation.List in table 2 according to aforementioned calculation condition result of calculation.

Table 2

Computation sequence	The value (mm) of rolled piece axis z	Rolled piece section radius of circle r (mm)	Result of calculation
										The coordinate of roll axis Z (mm)	Roll section radius of circle R (mm)	θ angle (degree)	ξ angle (degree)	ε angle (degree)	Rcosξ (mm)	Rcosε (mm)
			-6	-60	82.920	7.76	226.00	-12.92	77.64								12.36	48.39	220.78
-5	-50	82.400								17.25	223.49	-13.31	77.52	12.48	48.31	218.21
			-4	-40	81.800	26.84	221.00	-13.71	77.39								12.61	48.24	215.67
-3	-30	81.360								36.42	218.53	-14.13	77.26	12.74	48.17	213.15
			-2	-20	80.840	46.01	216.07	-14.55	77.14								12.86	48.10	210.64
-1	-10	80.320								55.60	213.63	-14.98	77.00	12.99	48.04	208.15
			0	0	79.800	65.19	211.20	-15.42	76.74								13.13	47.97	205.65
1	10	79.280								74.78	208.79	-15.87	76.46	13.26	47.90	203.22
			2	20	78.760	84.38	206.40	-16.32	76.60								13.40	47.83	200.22
3	30	78.240								93.98	204.03	-16.79	76.46	13.53	47.76	198.36
			4	40	77.720	10358	201.68	-17.28	76.32								13.68	47.69	195.96
5	50	77.200								113.19	199.35	-17.76	76.18	13.82	47.61	193.57
			6	60	76.680	122.79	197.03	-18.26	76.04								13.96	47.54	191.21

Make a general survey of result of calculation, compare with table 1, new oblique milling tubing elongator geometrical model is more superior than the geometrical model of above-mentioned common several elongators: Rcos ξ value is bigger than common elongator, is more than three times of PSW, and about 1.6 times that are other common elongator (as if proper transformation β, Ψ and y ₀Value also can produce better effect); Rcos ε is the same with PSW to successively decrease to exporting from deformed area inlet, and this illustrates the present invention than common elongator mill speed height not only, and has the stronger ability of controlling deformed area metal " cripling ".

Claims (5)

1. the geometrical model of a new oblique milling tubing elongator, by improvement to the geometrical model of existing oblique milling tubing elongator, propose to realize the geometrical model of the optimized new oblique milling tubing elongator of oblique milling, it is characterized in that: roll is the convergence type and arranges, it is roll off angle ψ＜0, in coordinate system oxyz, side-play amount y ₀≠ 0, and feed angle β and side-play amount y ₀Can not jack per line, that is: a or b,

A, amount of movement x ₀＞0, roll is the convergence type and arranges roll off angle ψ for negative, and feed angle β is for bearing skew y ₀Amount is for just;

B, amount of movement x ₀＞0, roll is the convergence type and arranges roll off angle ψ for negative, and feed angle β is being for just, side-play amount y ₀For negative.

2. the geometrical model of new oblique milling tubing elongator according to claim 1 is characterized in that, utilizes with following Mathematical Modeling, at known rolled piece curved surface β, ψ, r, x ₀, y ₀, z condition under, roll curved surface θ, X, Y, R, the Z parameter that can ask;

$\left\{\begin{array}{c}z=z\\ \tan \mathrm{\&theta;}=\frac{y_0\cos \mathrm{\&beta;}-z\sin \mathrm{\&beta;}}{x_0\cos \mathrm{\&beta;}+\mathrm{ztg\&Psi;}}\\ \left(\begin{array}{c}X\\ Y\\ Z\end{array}\right)=\left(\begin{array}{ccc}\cos \mathrm{\&Psi;}& \sin \mathrm{\&beta;}\sin \mathrm{\&Psi;}& -\cos \mathrm{\&beta;}\sin \mathrm{\&Psi;}\\ 0& \cos \mathrm{\&beta;}& \sin \mathrm{\&beta;}\\ \sin \mathrm{\&Psi;}& -\sin \mathrm{\&beta;}\cos \mathrm{\&Psi;}& \cos \mathrm{\&beta;}\cos \mathrm{\&Psi;}\end{array}\right)\left(\begin{array}{c}r\cos \mathrm{\&theta;}-x_0\\ r\sin \mathrm{\&theta;}-y_0\\ z\end{array}\right)\\ R=\sqrt{X^2+Y^2}\end{array}\right.$

Wherein:

β---feed angle,

ψ---roll off angle,

R---rolled piece exradius on the different rolled pieces cross section,

x ₀---roll axis is adjusted swivel point along the amount of movement on the x axle of coordinate system oxyz,

y ₀---roll axis is adjusted swivel point along the side-play amount on the y axle of coordinate system oxyz,

Z---metal and roll contact point be the coordinate figure on the z axle (rolled piece axis) in coordinate system oxyz,

θ---rolled piece cross section circle is gone up the parameter of the parametric equation of rolled piece cylindrical,

X---metal and roll contact point are at coordinate system O ₁Coordinate figure among the XYZ on the X-axis,

Y---metal and roll contact point are at coordinate system O ₁Coordinate figure among the XYZ on the Y-axis,

R---different rolls cross section topping roll radius,

Z---metal and roll contact point are at coordinate system O ₁Coordinate figure among the XYZ on the Z axle (roll axis);

Counterclockwise feed angle β that forms and roll off angle ψ get "+" number, and feed angle β that forms and roll off angle ψ get "-" number clockwise.

3. what model of the youngster of new oblique milling tubing elongator according to claim 1 is characterized in that, utilizes following Mathematical Modeling, at known roll curved surface β, ψ, R, Z, x ₀, y ₀Under the parameter condition, can try to achieve rolled piece curved surface θ ', r, X ₀, Y ₀, Z ₀, x, y, z parameter;

Wherein:

β---feed angle,

ψ---roll off angle,

R---different rolls cross section topping roll radius,

x ₀---roll axis is adjusted swivel point along the amount of movement on the x axle of coordinate system oxyz,

y ₀---roll axis is adjusted swivel point along the side-play amount on the y axle of coordinate system oxyz,

Z---metal and roll contact point be the coordinate figure on the z axle (rolled piece axis) in coordinate system oxyz,

θ '---the parameter of different rolls cross section topping roll profile circle parametric equation,

R---rolled piece exradius on the different rolled pieces cross section,

X ₀---roll axis is adjusted swivel point along coordinate system O ₁Amount of movement on the X-axis of XYZ,

Y ₀---roll axis is adjusted swivel point along coordinate system O ₁Side-play amount on the Y-axis of XYZ,

Z ₀---roll axis is adjusted swivel point along coordinate system O ₁Moving on the Z axle of XYZ

X---metal and the roll contact point coordinate figure on the x axle in coordinate system oxyz,

Y---metal and the roll contact point coordinate figure on the y axle in coordinate system oxyz,

Z---metal and roll contact point be the coordinate figure on the z axle (rolled piece axis) in coordinate system oxyz;

Counterclockwise feed angle β that forms and roll off angle ψ get "+" number, and feed angle β that forms and roll off angle ψ get "-" number clockwise.

4. the geometrical model of new oblique milling tubing elongator according to claim 1 is characterized in that, utilizes the Mathematical Modeling of the following stated, at known roll curved surface or roll curved surface β, ψ, r, x ₀, y ₀, under the z, θ parameter condition, can try to achieve the forward angle ξ of roll speed direction and rolled piece axis;

$\left\{\begin{array}{c}z=z\\ \mathrm{tg\&theta;}=\frac{y_0\cos \mathrm{\&beta;}-z\sin \mathrm{\&beta;}}{x_0\cos \mathrm{\&beta;}+\mathrm{ztg\&Psi;}}\\ \cos \mathrm{\&xi;}=\frac{\left|\begin{array}{cc}r\cos \mathrm{\&theta;}-x_0& r\sin \mathrm{\&theta;}-y_3\\ \sin \mathrm{\&Psi;}& -\sin \mathrm{\&beta;}\cos \mathrm{\&Psi;}\end{array}\right|}{\sqrt{{\left|\begin{array}{cc}r\sin \mathrm{\&theta;}-y_0& z\\ -\sin \mathrm{\&beta;}\cos \mathrm{\&Psi;}& \cos \mathrm{\&beta;}\cos \mathrm{\&Psi;}\end{array}\right|}^2+{\left|\begin{array}{cc}z& r\cos \mathrm{\&theta;}-x_0\\ \cos \mathrm{\&beta;}\cos \mathrm{\&Psi;}& \sin \mathrm{\&Psi;}\end{array}\right|}^2-{\left|\begin{array}{cc}r\cos \mathrm{\&theta;}-x_0& r\sin -y_0\\ \sin \mathrm{\&Psi;}& \sin \mathrm{\&theta;}\cos \mathrm{\&Psi;}\end{array}\right|}^2}}\end{array}\right.$

Wherein:

The roll speed direction on ξ---metal and the roll contact point and the forward angle of rolled piece axis,

β---feed angle,

ψ---roll off angle,

R---rolled piece exradius on the different rolled pieces cross section,

x ₀---roll axis is adjusted swivel point along the amount of movement on the x axle of coordinate system oxyz,

y ₀---roll axis is adjusted swivel point along the side-play amount on the y axle of coordinate system oxyz,

Z---metal and roll contact point be the coordinate figure on the z axle (rolled piece axis) in coordinate system oxyz,

θ---rolled piece cross section circle is gone up the parameter of the parametric equation of rolled piece cylindrical;

Counterclockwise feed angle β that forms and roll off angle ψ get "+" number, and feed angle β that forms and roll off angle ψ get "-" number clockwise.

5. the geometrical model of new oblique milling tubing elongator according to claim 1 is characterized in that, utilizes the Mathematical Modeling of the following stated, at known roll curved surface β, ψ, r, x ₀, y ₀, under the z, θ parameter condition, can try to achieve the forward angle ε of roll speed direction and rolled piece rolling tangential direction;

$\left\{\begin{array}{c}z=z\\ \mathrm{tg\&theta;}=\frac{y_0\cos \mathrm{\&beta;}-z\sin \mathrm{\&beta;}}{x_0\cos \mathrm{\&beta;}+\mathrm{ztg\&Psi;}}\\ \cos \mathrm{\&epsiv;}=\\ \frac{\left|\begin{array}{cc}r\sin \mathrm{\&theta;}-y_0& z\\ -\sin \mathrm{\&beta;}\cos \mathrm{\&Psi;}& \cos \mathrm{\&beta;}\cos \mathrm{\&Psi;}\end{array}\right|\mathrm{tg\&theta;}\&CenterDot;\left|\begin{array}{cc}z& r\cos -x_0\\ \cos \mathrm{\&beta;}\cos \mathrm{\&Psi;}& \sin \mathrm{\&Psi;}\end{array}\right|}{\sqrt{{\left|\begin{array}{cc}r\sin \mathrm{\&theta;}-y_0& z\\ -\sin \mathrm{\&beta;}\cos \mathrm{\&Psi;}& \cos \mathrm{\&beta;}\cos \mathrm{\&psi;}\end{array}\right|}^2+{\left|\begin{array}{cc}z& r\cos \mathrm{\&theta;}-x_0\\ \cos \mathrm{\&beta;}\cos \mathrm{\&Psi;}& \sin \mathrm{\&Psi;}\end{array}\right|}^2+{\left|\begin{array}{cc}r\cos \mathrm{\&theta;}-x_0& r\sin -y_0\\ \sin \mathrm{\&Psi;}& -\sin \mathrm{\&beta;}\cos \mathrm{\&Psi;}\end{array}\right|}^2\sqrt{{\mathrm{tg}}^2\mathrm{\&theta;}+1}}}\end{array}\right.$

Wherein:

The roll speed direction on ε---metal and the roll contact point and the forward angle of rolled piece direction of rotation,

β---feed angle,

ψ---roll off angle,

R---rolled piece exradius on the different rolled pieces cross section,

x ₀---roll axis is adjusted swivel point along the amount of movement on the x axle of coordinate system oxyz,

y ₀---roll axis is adjusted swivel point along the side-play amount on the y axle of coordinate system oxyz,

Z---metal and roll contact point be the coordinate figure on the z axle (rolled piece axis) in coordinate system oxyz,

θ---rolled piece cross section circle is gone up the parameter of the parametric equation of rolled piece cylindrical.

Counterclockwise feed angle β that forms and roll off angle ψ get "+" number, and feed angle β that forms and roll off angle ψ get "-" number clockwise.

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