CN105562492A - Line heating flue generating method based on curvatures of frame lines - Google Patents

Abstract

The invention relates to a line heating flue generating method based on the curvatures of frame lines. The method comprises the following steps that S1, any point is selected on the frame line of a target plate, and a point corresponding to the point is found on the frame line of a plate to be detected; S2, the Gaussian curvatures of the point of the frame line of the target plate and the point of the frame line of the plate to be detected are calculated, the matching ratio of the point of the frame line of the target plate and the point of the frame line of the plate to be detected is calculated according to the Gaussian curvatures, and then whether the point of the frame line of the plate to be detected is a flue point or not is judged according to the obtained matching ratio; S3, the operation of the step 1 and the step 2 is carried out on all the points on the frame line of the plate to be detected; and S4, all the flue points are connected to form a flue.

Description

A kind of flame forming plate flue generation method based on costal line curvature

Technical field

The present invention relates to flame forming plate manufacture field, more specifically, relate to a kind of flame forming plate flue generation method based on costal line curvature.

Background technology

Flame forming plate also claims wire hot briquetting (lineheating or lineheatofforming), it be a kind of utilize metallic plate local heating High-temperature cooling after the localized heat elastic-plastic deformation that produces and reach a kind of moulding process of integrally bending.Flame forming plate forming process originates from Japan in twentieth century five sixties, owing to processing fast, flexible operation, do not need other equipment and be suitable for the advantage such as formed machining of complicated shape, be widely used in shipyard all over the world rapidly, and become the main processing mode of Double curve degree outside plate.Double curve degree ship hull plate nearly all is at present all adopt flame forming plate technology to be formed.

Now, the flame forming plate heating lines arrangement method adopted when Ge great shipyard, the world makes ship hull plate mostly is empirical method, and namely empirically abundant burning plate master worker carries out hand dipping and judges to determine the particular location of flue.The method can play good effect within the specific limits, but lacks the standard of specification and quantification, and the flue that also cannot carry out scale and automation generates.And along with the development of science and technology, hull manufacturing machine, automation will be the trend of the tendency of the day.Therefore, make crucial flame forming plate technology as ship hull plate and also will face the innovation of automation, and the core-heating lines arrangement of this technique also needs the generation carrying out automation.

The heating lines arrangement of flame forming plate needs to carry out according to the shape of Target Board, and the profile of ship hull plate can represent with its costal line.As can be seen here, based on the costal line of ship hull plate, utilizing the flue of computer to flame forming plate to calculate and arrange will be an effective method.

Summary of the invention

The present invention proposes the technical method that a kind of flame forming plate flue based on costal line curvature generates, and solves flame forming plate flue generate and Layout Problem by the method.

For realizing above goal of the invention, the technical scheme of employing is:

A kind of flame forming plate flue generation method based on costal line curvature, comprises the following steps:

S1. take up an official post at Target Board costal line and get a bit, and on plate costal line to be detected, find point corresponding with it;

S2. the Gaussian curvature of Target Board costal line point, plate costal line point to be detected is calculated, and according to Gaussian curvature, calculate the matching rate of Target Board costal line point and plate costal line point to be detected, then judge whether plate costal line point to be detected is flue point according to the matching rate asked for;

S3. the operation that points all on check-out console costal line carries out step S1, S2 is treated;

S4. all flues point is coupled together, generate flue.

Preferably, the detailed process of described calculating Target Board costal line point, plate costal line point Gaussian curvature to be detected is as follows: the O point on Target Board costal line, plate costal line to be detected has unique normal vector and multiple tangent vector, many the intersection curves that normal vector and the determined plane of different tangent vector and surface intersection are formed have different curvature at O point, the maximum k in different curvature _maxwith minimum of a value k _minfor principal curvatures;

Gaussian curvature (k)=curvature maximum (k _max) * curvature minimum (k _min).

Preferably, described step S2, the detailed process calculating the matching rate of Target Board costal line point and plate costal line point to be detected is as follows:

If Kn ' for the point on Target Board costal line, its Gaussian curvature be k _n'; And Kn is point corresponding with Kn ' on check-out console, its Gaussian curvature is k _n, then matching rate ζ is expressed as:

$\mathrm{\ζ}=\frac{|{k_n}^{\′}-k_n|}{k_n}\×100\%.$

Preferably, in step S2, if the matching rate of Target Board costal line point and plate costal line point to be detected is more than or equal to 10%, then plate costal line point to be detected is judged to be flue point.

Accompanying drawing explanation

Fig. 1 is that curvature solves schematic diagram.

Fig. 2 is that Gaussian curvature solves schematic diagram.

Fig. 3 is the side view of Target Board costal line and check-out console costal line.

Fig. 4 is heating lines arrangement figure.

Detailed description of the invention

Accompanying drawing, only for exemplary illustration, can not be interpreted as the restriction to this patent;

Below in conjunction with drawings and Examples, the present invention is further elaborated.

Embodiment 1

The invention provides a kind of flame forming plate flue generation method based on costal line Gaussian curvature, it comprises the following steps:

(1) Gaussian curvature is calculated

Need first to determine two principal curvatures before calculating Gaussian curvature.As shown in Figure 1, on curve L, the curvature of P point equaled the inverse of the line circle of contact radius of this point, and namely the curvature (k) of P point equals the inverse of radius of curvature (r), and specific formula for calculation is:

For on curved surface certain a bit for, this point has a normal vector and numerous tangent vector.This normal vector and determined of tangent vector in a curve, can calculate the curvature of this point with surface intersection by this curve.And normal vector and determined of different tangent vector and surface intersection and different curves, the curvature calculating this point is different.Wherein, the principal curvatures (k) that curvature maximum (kmax) and minimum of a value (kmin) they are this point, and Gaussian curvature equals the product of principal curvatures, that is:

Gaussian curvature (k)=curvature maximum (kmax) * curvature minimum (kmin) (2)

As shown in Figure 2, the P point in curved surface α, determined of its normal vector n and two tangent vector t1 and t2 and curved surface α intersect at intersection 1 and intersection 2 respectively.The curvature of these two intersections at P point can be calculated respectively by formula (1).With P point for initial point, section is evenly got 360 tangent vectors, calculate the curvature of the intersection corresponding to tangent vector at P point with said method.Wherein, curvature maximum (kmax) and minimum of a value (kmin) are the Gaussian curvature (k) of P point.And the Gaussian curvature k=kmax*kmin of P point.

(2) flue point is judged

We are by the Gaussian curvature of respective point on the point on respectively comparison object plate costal line and check-out console, to judge that whether this degree of crook is up to standard, and then judge it whether as flue point.As shown in Figure 3, Kn ' is the point on Target Board costal line, and Kn is point corresponding with Kn ' on check-out console.Detailed process is as follows:

First, the Gaussian curvature (kn) of corresponding points Kn in the Gaussian curvature (kn ') and check-out console Target Board costal line being put Kn ' can be calculated by formula (1), (2);

Secondly, the matching rate that check-out console is put is calculated.The matching rate that check-out console is put is defined as the absolute value of corresponding points Gaussian curvature difference in Gaussian curvature and check-out console that Target Board costal line is put, with the ratio of the Gaussian curvature that check-out console is put.For K1 and K1 ' point in Fig. 3, the matching rate of K1 point equals the absolute value of the Gaussian curvature difference of Gaussian curvature that K1 ' puts and K1 point, with the ratio of K1 point Gaussian curvature.Equation expression is:

Finally, judge whether the point on check-out console is flue point.When matching rate ζ is more than or equal to 10%, shows that this point is failed and corresponding point matching success on costal line, be flue point.Otherwise showing that this point is not successful with corresponding point matching on costal line, is non-flue point.

Repeat above 3 steps, by check-out console matching rate a little calculate, and determine whether flue point.

(3) connect flue point, realize heating lines arrangement.

Require to be connected flue point respectively according to transverse curvature, buckling and oblique bending difference, realize the layout of flue.For Fig. 4, if desired ship hull plate carries out longitudinal contraction, then as figure a) shown in, by lateral connection flue point, carry out horizontal heating lines arrangement; If desired ship hull plate carries out cross-direction shrinkage, then as figure b) shown in, by longitudinally connecting flue point, carrying out longitudinal direction and arranging flue; If desired ship hull plate carries out oroclinal warping contraction, then as figure c) shown in, by oblique connection flue point, carry out oblique heating lines arrangement.

Obviously, the above embodiment of the present invention is only for example of the present invention is clearly described, and is not the restriction to embodiments of the present invention.For those of ordinary skill in the field, can also make other changes in different forms on the basis of the above description.Here exhaustive without the need to also giving all embodiments.All any amendments done within the spirit and principles in the present invention, equivalent to replace and improvement etc., within the protection domain that all should be included in the claims in the present invention.

Claims (4)

1. one kind based on the flame forming plate flue generation method of costal line curvature, it is characterized in that: comprise the following steps:

S1. take up an official post at Target Board costal line and get a bit, and on plate costal line to be detected, find point corresponding with it;

S2. the Gaussian curvature of Target Board costal line point, plate costal line point to be detected is calculated, and according to Gaussian curvature, calculate the matching rate of Target Board costal line point and plate costal line point to be detected, then judge whether plate costal line point to be detected is flue point according to the matching rate asked for;

S3. the operation that points all on check-out console costal line carries out step S1, S2 is treated;

S4. all flues point is coupled together, generate flue.

2. the flame forming plate flue generation method based on costal line curvature according to claim 1, it is characterized in that: the detailed process of described calculating Target Board costal line point, plate costal line point Gaussian curvature to be detected is as follows: the O point on Target Board costal line, plate costal line to be detected has unique normal vector and multiple tangent vector, many the intersection curves that normal vector and the determined plane of different tangent vector and surface intersection are formed have different curvature at O point, the maximum k in different curvature _maxwith minimum of a value k _minfor principal curvatures;

Gaussian curvature (k)=curvature maximum (k _max) * curvature minimum (k _min).

3. the flame forming plate flue generation method based on costal line curvature according to claim 2, is characterized in that: described step S2, and the detailed process calculating the matching rate of Target Board costal line point and plate costal line point to be detected is as follows:

If Kn ' for the point on Target Board costal line, its Gaussian curvature be k _n'; And Kn is point corresponding with Kn ' on check-out console, its Gaussian curvature is k _n, then matching rate ζ is expressed as:

$\mathrm{\ζ}=\frac{\left|{k_n}^{\′}-k_n\right|}{k_n}\×100\%.$

4. the flame forming plate flue generation method based on costal line curvature according to claim 3, it is characterized in that: in step S2, if the matching rate of Target Board costal line point and plate costal line point to be detected is more than or equal to 10%, then plate costal line point to be detected is judged to be flue point.