CN112395687A - Graphical method for calculating expansion length of arc-shaped rubber vibration-damping connecting pipe - Google Patents
Graphical method for calculating expansion length of arc-shaped rubber vibration-damping connecting pipe Download PDFInfo
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Abstract
The invention discloses a graphical method for calculating the expansion length of an arc-shaped rubber vibration-damping connecting pipe, which comprises the steps of dividing a deformation section and a fixed section of an arc-shaped flexible pipe body, generating a revolution surface of an arc line of the deformation section, constructing a space spiral line simulating a cord fabric layer, adjusting the number of turns of the spiral line, constructing a sweep curved surface simulating the cord line deformation when the pipe body is inflated and deformed along the spiral line, generating a graphical process of the space intersection line of the revolution surface and the sweep curved surface and the like, and judging whether the preliminarily supposed expansion length is proper or not by comparing the length of the spiral line of the winding cord line of the deformation section before the inflation and the length of the corresponding space curve after the inflation. The invention takes the drawing functions of drawing a spiral line, a revolution surface, a sweep surface and the like of CAD software as the basis, fully utilizes the curved surface intersection function, solves the complex problem of the cord fabric layer space deformation of the arc-shaped rubber vibration reduction connecting pipe into the simple operation process of the CAD software, and solves the problem of calculating the expansion length of the arc-shaped rubber vibration reduction connecting pipe.
Description
Technical Field
The invention relates to the technical field of ship pipeline matching, in particular to a graphical method for calculating the expansion length of an arc-shaped rubber vibration reduction connecting pipe.
Background
In modern naval vessel design, structural noise radiated from a naval vessel body to the marine environment is an important factor related to stealth problems, vibration isolation among hydraulic pressure, a seawater pipeline, a lubricating oil pipeline and equipment and the pipeline is generally realized by flexible connecting pieces in the pipeline, and an arc-shaped rubber vibration-damping connecting pipe is a widely used flexible connecting piece for the pipeline.
In the design process of the arc-shaped rubber vibration-damping connecting pipe, the length of the straight pipe before arc-shaped forming of the connecting pipe is called as the expansion length, and the expansion length is an important design parameter. The over-large or over-small expansion length can affect whether the arc-shaped connecting pipe can be successfully formed and whether the length requirement of the connecting pipe can be met, and the expansion length is related to the rubber material performance of the connecting pipe, the vulcanization parameters, the arc-shaped structure of the connecting pipe, the flange structure and other factors, wherein the arc-shaped structure of the connecting pipe is the main factor for affecting the expansion length. The arc rubber vibration damping connecting pipe adopts a high-strength cord fabric as a reinforcing framework of the pipe body, the cord fabric is spirally wound on the initial cylindrical pipe body at a certain angle, and the cord fabric deforms along with the pipe body in the arc forming process of the pipe body, so that a spiral arc shape in space is formed. When the arc rubber vibration-damping connecting pipe is designed, the length of the straight pipe before forming needs to be calculated according to the shape structure of the formed connecting pipe. The invention provides a method for calculating the expansion length of an arc-shaped rubber vibration reduction connecting pipe by a space graphic method.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provides a graphical method for calculating the expansion length of an arc-shaped rubber vibration damping connecting pipe so as to solve the problems in the technical background.
In order to achieve the purpose, the invention is realized by the following technical scheme:
an illustration method for calculating the expansion length of an arc-shaped rubber vibration damping connecting pipe comprises a middle deformation section and fixed sections positioned at two ends of the deformation section, wherein the symmetrical double-arc-shaped flexible pipe body comprises a skeleton structure layer, and the skeleton structure layer is a multi-layer cord fabric layer formed by alternately coating cord fabrics; a rubber layer is arranged in the inner side and the outer side of the framework structure layer; the method comprises the following steps:
step one, determining a part participating in deformation during inflation forming of the connecting pipe according to a design drawing of the arc-shaped rubber vibration-damping connecting pipe, namely a deformation section, wherein the length of the deformation section during forming is marked as C0The outer side of the deformation section is called a fixed section;
preliminarily assuming the expansion length value L of an arc rubber vibration damping connecting pipeXAccording to the initially determined deployment length LXThe difference value between the forming length L of the connecting pipe and the forming length L of the connecting pipe is the length change value X of the deformation section during the inflation forming of the connecting pipe, so as to determine the length of the deformation section of the middle cord fabric layer of the multi-layer cord fabric layer of the connecting pipe before the inflation forming of the connecting pipe, and the length is marked as C1，C1＝C0+X；
Step two, according to the design drawing of the arc rubber vibration-damping connecting pipe, making an arc revolution space curved surface S of the deformation section of the connecting pipe0；
Step three, making a spiral line Q reflecting the winding of one cord thread on the middle cord layer of the deformation section;
step four, generating a swept curved surface S according to the spiral line Q in the step three1；
Step five, making the swept curved surface S obtained in the step four1And the revolution space curved surface S obtained in the step two0Cross line L of1And obtaining a line of intersection L1Length of (d);
step six, solving the length L of the cord thread spiral line of the connection pipe deformation section before inflation deformation0With the above-mentioned intersecting line L1If D is the length difference D>If the expansion length value of the preliminary assumption in the step one is over large, reducing the expansion length value of the preliminary assumption, returning to the step one, and repeating the steps;
if D < -T indicates that the initially assumed unfolding length value in the step one is too small, the initially assumed unfolding length value is increased, the step one is returned, and the steps are repeated;
if T is more than or equal to D and more than or equal to-T, the preliminarily assumed unfolding length value in the step one is appropriate, and the preliminarily assumed unfolding length value is the unfolding length value to be calculated;
wherein the length L of the cord helix before deformation by inflation0＝C1And/cos α, α is the helix angle of the helix.
In the above technical scheme, in the first step, the expansion length value L of the arc-shaped rubber vibration damping connecting pipe is preliminarily setXAnd (4) taking the value of X as L + X and 18-22 mm.
In the above technical solution, in the second step, the surface S of the revolution space is0The middle ply 1b.1, which is a multi-ply wound on the nozzle, is a spatial surface of revolution in the deformation zone.
In the above technical solution, in the third step, the helical line Q has a length value C of the pre-forming deformation section corresponding to the preliminarily set expansion length1The height of the spiral line is defined by the diameter of the middle cord fabric layer of the multi-layer cord fabric layer wound on the connecting pipe, and the winding angle of the cord fabric layer is defined by the helix angle alpha of the spiral line.
In the above technical solution, in the fourth step, the swept curved surface S is generated1The specific method is that a radial straight line segment is made at the bottom starting point of the spiral line and is used as a setron line LSAnd then scan the setron line L by the sameSSweeping along the spiral line Q results in a spatial curved surface.
In the technical scheme, in the sixth step, T is 0.4-0.5 mm.
In the above technical scheme, the arc rubber vibration damping connection pipe is a single arc rubber vibration damping connection pipe or a double arc rubber vibration damping connection pipe.
In the above technical solution, the swept curved surface S is generated1Before, the number of turns of adjustment helix for the number of turns of deformation section helix before the shaping of aerifing is: n is0H/(2 pi r/tg α), where h is the height of the helix and r is the helix radius of the helix; the number of spiral coils of the deformation section after inflation molding is as follows: n is1＝n0*k，k＝0.93～0.97。
Compared with the prior art, the invention has the beneficial effects that:
1. the estimation of the expansion length of the arc-shaped rubber vibration reduction connecting pipe is a key problem in the design and manufacture of the arc-shaped rubber vibration reduction connecting pipe and is related to the success or failure of the inflation forming of the connecting pipe. The invention adopts a graphical method to solve the calculation problem of the expansion length in the design of the arc-shaped rubber vibration reduction connecting pipe, and has important significance for the design and the improvement of the developed power of the arc-shaped rubber vibration reduction connecting pipe.
2. According to the invention, on the basis of drawing functions of a CAD software such as a drawing spiral line, a revolution surface, a sweep surface and the like, the curved surface intersection function is fully utilized, the complex problem of the cord fabric layer space deformation of the arc-shaped rubber vibration reduction connecting pipe is solved into a simple operation process of the CAD software, and the problem of calculating the expansion length of the arc-shaped rubber vibration reduction connecting pipe is solved.
3. The method of the invention is not only suitable for common single-arc pipes and double-arc pipes, but also suitable for calculating the expansion length in the design of other rubber vibration-damping connecting pipes with complex shapes.
Drawings
FIG. 1 is a schematic diagram of a deformation section and a fixing section of an arc-shaped rubber vibration damping connecting pipe in the invention;
FIG. 2a is a diagram showing the coloring effect of the surface of revolution space of the deformation section according to the present invention; FIG. 2b is a wire frame diagram of the surface of the revolution space of the deformation section in the present invention;
fig. 3 is a schematic view of the winding helix of the cord of the present invention (number of turns of helix 2);
FIG. 4 is a schematic view of the number of turns of the helix taken in the present invention;
FIG. 5a is a graph of coloring effect of a swept surface obtained by applying a helical sweep in the present invention; FIG. 5b is a wire frame diagram of a swept surface obtained by applying a helical sweep in the present invention;
FIG. 6a is a color effect diagram of the intersection line of the swept curved surface and the curved surface of the revolution space in the present invention; FIG. 6b is a line frame diagram of the intersection of the swept curved surface and the surface of the revolution space in the present invention;
FIG. 7a is a schematic view of the intersection line obtained in the present invention; FIG. 7b is a diagram illustrating the length of an intersection poly line according to the present invention;
FIG. 8 is a schematic structural diagram of an arc-shaped rubber vibration damping adapter in a specific embodiment;
FIG. 9 is a schematic illustration of an intermediate cord layer diagram in an embodiment;
fig. 10 is a schematic view of the winding helix of the cord in a specific embodiment (number of helix turns 2);
FIG. 11 is a schematic diagram of the number of turns of a spiral line taken in an embodiment;
FIG. 12 is a schematic diagram of the number of turns of the pitch helix in an embodiment;
FIG. 13 is a schematic illustration of one scan line at the end of a helix in an embodiment;
FIG. 14 is a wire frame diagram of a swept surface using a helical sweep in an exemplary embodiment;
FIG. 15 is a wire frame diagram of the intersection of the swept surface and the surface of the revolution space in an embodiment;
FIG. 16 is a graph illustrating the coloring effect of the intersection of the swept surface and the surface of the revolution space in the embodiment;
FIG. 17 is a schematic diagram of obtaining an intersection in an embodiment;
FIG. 18 is a diagram illustrating the obtaining of the length of an intersecting ambiguous line in one embodiment;
FIG. 19 is a diagram illustrating an embodiment of regenerating a swept surface and intersecting the surface of revolution of the tubular body to obtain an intersection to obtain a length of an intersection polyline;
in the figure, 1, an arc-shaped rubber vibration damping connecting pipe; 1a, a rubber layer; 1b, a framework structure layer; 1b.1, an intermediate ply; 1.3, an axis; 1.4, a symmetry line;
LZ、LYrespectively representing straight line segments and circular arc segments forming a middle cord layer graph line; s1To sweep a curved surface, S0Is a revolution space curved surface; q is a helical line; l isSIs a setron line; l isCA pipe body arc line which is a deformation section;
C2is the length of the fixed segment; c0Is the length of the deformation section; l is1Represents the intersection or the length of the intersection; h is1The distance between the center point of the bottom surface of the spiral line and the origin of the coordinate axis is defined; h is the height of the helix; r is the spiral radius of the spiral line, the radius of the bottom surface of the spiral line or the radius of the top surface of the spiral line; l isXThe value of the expansion length of the arc-shaped rubber vibration damping connecting pipe is represented; l isThe forming length of the connecting pipe; x is the length change value of the connecting pipe during inflation molding; n is0The number of turns of the spiral line of the deformation section before inflation molding; n is1The number of the spiral coils of the deformation section after the inflation forming.
Detailed Description
The embodiments of the present invention are described below with reference to specific embodiments, and other advantages and effects of the present invention will be easily understood by those skilled in the art from the disclosure of the present specification. The invention is capable of other and different embodiments and of being practiced or of being carried out in various ways, and its several details are capable of modification in various respects, all without departing from the spirit and scope of the present invention. It is to be noted that the features in the following embodiments and examples may be combined with each other without conflict.
It should be noted that the drawings provided in the following embodiments are only for illustrating the basic idea of the present invention, and the components related to the present invention are only shown in the drawings rather than drawn according to the number, shape and size of the components in actual implementation, and the type, quantity and proportion of the components in actual implementation may be changed freely, and the layout of the components may be more complicated.
Referring to fig. 1 to 7, the invention provides an illustration method for calculating the expansion length of an arc-shaped rubber vibration damping connection pipe, which comprises the illustration processes of dividing a deformation section and a fixed section of an arc-shaped flexible pipe body, generating a revolution surface of an arc line of the deformation section, constructing a space spiral line simulating a cord of a cord ply, adjusting the number of turns of the spiral line, constructing a sweep curved surface simulating the deformation of the cord ply when the pipe body is inflated and deformed along the spiral line, generating a space intersection line of the revolution curved surface and the sweep curved surface, and the like. The length of the spiral line of the winding cord of the deformation section before the connection pipe is inflated and molded is compared with the length of the corresponding space curve after the inflation and molding, and the length is used as a basis for judging whether the preliminarily supposed expansion length is appropriate or not. And finally calculating the expansion length of the arc-shaped rubber vibration reduction connecting pipe by repeating the above steps.
In the invention, the arc-shaped rubber vibration damping connecting pipe mainly comprises a single arc-shaped rubber vibration damping connecting pipe and a double arc-shaped rubber vibration damping connecting pipe. The method of the invention is the same for both implementations and procedures described above.
An illustration method for calculating the expansion length of an arc-shaped rubber vibration damping connecting pipe is disclosed, wherein the arc-shaped rubber vibration damping connecting pipe 1 comprises three parts, namely a middle deformation section 1.1 and fixed sections 1.2 positioned at two ends of the deformation section 1.1, and when the calculation of the expansion length is considered, the fixed sections 1.2 at two ends are treated as non-deformation treatment. The symmetrical double-arc flexible pipe body 1 comprises a skeleton structure layer 1b, wherein the skeleton structure layer 1b is a multilayer cord fabric layer formed by alternately wrapping cord fabrics; the inner side and the outer side of the framework structure layer 1b are respectively provided with a rubber layer 1 a; the method comprises the following steps:
step one, preliminarily assuming an expansion length value, and determining a deformation section and a fixed section of the connecting pipe. The method specifically comprises the following steps:
(1-1) assuming a value L of the deployment length of an arc-shaped rubber vibration damping connection pipeXGenerally, taking the forming length L of the connecting pipe plus the length change value X of the connecting pipe during inflation forming, wherein the value of X is about 20 mm;
(1-2) determining a part participating in deformation during the inflation forming of the connecting pipe according to a design drawing of the arc-shaped rubber vibration reduction connecting pipe, namely a deformation section 1.1, and the outer side of the deformation section (flanges at two sides of the connecting pipe) is called a fixed section 1.2. Recording the length of the deformation section during forming as C0. According to the initially determined expansion length LXLength of deployment LXThe difference value of the deformation section and the connecting pipe forming length L is the length change value X of the deformation section during the inflation forming of the connecting pipe, so as to determine the length of the deformation section of the middle cord fabric layer of the connecting pipe before the inflation forming of the connecting pipe, and the length is marked as C1，C1＝C0+ X; (i.e. C)1＝C0+ the deployment length LX-a nipple forming length L), as shown in fig. 1;
step two, according to the design drawing of the arc rubber vibration damping connecting pipe, making an arc revolution space curved surface S0。
Applying a revolution surface command in CAD software to make a spatial revolution surface of the middle layer of the multi-layer cord fabric layer wound on the connecting pipe 1 in a deformation section, as shown in figures 2a and 2 b;
and step three, making a spiral line Q reflecting the winding of one cord thread on the middle cord layer.
(3-1) As shown in FIG. 3, the end face of the left end point of the arc-shaped section of the connecting pipe is taken as the bottom face of the spiral line, and the length value C of the deformed section is taken as0The height of the spiral line is taken as the diameter of the spiral line, the diameter of the middle layer of the multi-layer cord fabric layer wound on the connecting pipe is taken as the diameter of the spiral line, the winding angle of the cord fabric layer is taken as the spiral angle alpha of the spiral line, and the spiral line command is applied in CAD software to draw the spiral line reflecting the winding of one cord thread on the middle cord fabric layer;
(3-2) applying an attribute command in the CAD software to obtain the spiral turns (marked as n) of the spiral line0) As shown in fig. 4;
step four, generating a swept curved surface S1。
(4-1) applying an attribute command in the CAD software to change the number of turns of the spiral line to n1(n1＝n0K), the value of k is 0.93-0.97. The k value reflects the influence of factors such as a flange structure, a pipe body structure, a processing technology and the like of the connecting pipe on the deformation of the cord fabric during the inflation forming of the connecting pipe, and can be simply understood as the change of the number of turns of the spiral line caused by the spiral line deformation of the cord fabric in the inflation forming process of the pipe body;
(4-2) making a radial straight line segment at the bottom starting point of the modified spiral line as a setron line LSApplying a sweep command in the CAD software to sweep the straight line segment along the spiral line to obtain a spatial curved surface, as shown in fig. 5a and 5 b;
step five, making an intersecting line L of the swept curved surface obtained in the step four and the revolution space curved surface obtained in the step two1。
(5-1) applying a curved surface intersection command in CAD software to make the swept curved surface S obtained in the fourth step1And the revolution space curved surface S obtained in the step two0Cross line L of1As shown in fig. 7 a;
(5-2) the line of intersection L1The method is characterized by comprising a plurality of straight lines, wherein a polysemous line merging command is applied in CAD software to combine the intersecting lines into a polysemous line (Pline line);
(5-3) applying attribute command in CAD software to obtain length value of said polysemous line (i.e. intersecting line)Is recorded as L1) As shown in fig. 7 b;
and step six, solving the difference between the length of the cord thread spiral line before inflation deformation and the length of the intersection line, and determining the next processing method.
(6-1) determining the length L of the cord spiral before inflation deformation0，L0＝C1/cosα；
(6-2) calculating the length difference (D, D is L) between the spiral line and the intersection line0－L1)；
(6-2) if D > T (where T is a small value, and T is generally 0.4-0.5 mm as a judgment value), it indicates that the preliminary assumed development length value in step one is too large. Reducing the initially assumed unfolding length value, returning to the step one, and repeating the steps;
(6-3) if D < -T, it indicates that the value of the development length preliminarily assumed in step one is too small. Increasing the initially assumed expansion length value, returning to the step one, and repeating the steps;
(6-4) if T is more than or equal to D and more than or equal to T, the preliminary assumed unfolding length value in the step one is appropriate. The preliminarily assumed development length value is the development length value to be estimated.
DETAILED DESCRIPTION OF EMBODIMENT (S) OF INVENTION
The expansion length of the arc-shaped rubber vibration-damping connecting pipe with a specific size structure is calculated by taking the arc-shaped rubber vibration-damping connecting pipe as an example.
The design structure of the arc-shaped rubber damping connecting pipe is shown in figure 8. In the figure, the length L of the formed joint pipe is 225 (the length of the unit is not shown below is mm), and the length of the fixed sections on both sides is C237.74, the length of the deformation segment is C0＝149.51。
The middle cord layer 1b.1 graph and the axis 1.3 of the take-over, the line of symmetry 1.4 in fig. 8 are copied to a new graphic file, as in fig. 9. The middle cord layer graph line in the figure is composed of 2 straight line segments LZAnd 5 arc segments LYThe total 7 lines are formed, and the polysemous line editing commands of CAD software are used for combining the polysemous lines into a polysemous line which can also be called a pipe body arc line L of a deformation sectionC。
Referring to FIG. 10, coordinate origin points are positionedAnd the intersection point of the axis of the connecting pipe and the symmetry line is in the Z direction along the axis. Drawing a spiral line, and taking the coordinates of the center of the bottom surface as (0,0, -h)1)，h1Is the distance between the center point of the bottom surface of the spiral line and the origin of the coordinate axis, h1The radius of the helix, the radius of the base of the helix and the radius of the top of the helix are all denoted as r, r is 79, the number of turns of the helix is 2, and the height h of the helix is 149.51. The spiral is shown in figure 10.
Deployment length L of the takeover tubexIs L as an initial valuexL + X-225 + 20-245, the length of the deformation section of the intermediate ply of the nozzle before the nozzle is inflated
C1＝C0+245-225＝169.51
That is, the cord fabric was wound with a spiral height of 169.51 before inflation molding. The winding angle of the connecting pipe ply is equal to 37 degrees, the radius of the spiral line is 79 as can be seen from fig. 10, and then the number of turns of the spiral line is:
n0＝h/(2π*r/tgα)＝169.51/(2π*79/tgα)＝0.2573
taking k as 0.95, the number of spiral coils of the deformation section after inflation molding is as follows:
n1＝n0*k＝0.2445
the above spiral (see fig. 11) is selected using the CAD software attribute command, and its lap is changed to 0.2445 in the attribute dialog. As shown in fig. 12.
A radial straight line segment (as shown in fig. 13) is made through the left end point of the spiral line, and the straight line segment is swept along the spiral line to obtain a swept curved surface, as shown in fig. 14.
And (3) rotating the arc-shaped line of the pipe body by 360 degrees around the axis of the connecting pipe by applying a rotating surface command of CAD software to generate a rotating space curved surface of the deformation section, as shown in FIG. 15. To facilitate viewing, the viewing angle is changed and the curved surface is colored, as shown in fig. 16.
And (3) making an intersection line of the revolution space curved surface and the swept curved surface by applying an intersection command edited by an entity of CAD software, and combining the intersection lines into an ambiguous line, as shown in FIG. 17. Then, the attribute function of the CAD software is applied to read the length of the intersection line, as shown in FIG. 18. Here, the length of the intersection lineL1＝213.7708。
And the length of the cord thread helix before inflation deformation is as follows:
L0＝C1/cosα＝169.51/cos37＝212.2495
and calculating the length difference D between the spiral line and the intersection line.
D＝L0－L1＝212.2495-213.7708＝-1.5213
The discrimination value T is taken to be 0.4. Here, D < -T means that the initially determined deployed length is too small, and therefore, the value is increased, and the above steps are repeated.
Taking the initial value of the expansion length of the connecting pipe as 245+ 2-247, the length of the deformation section of the middle cord fabric layer of the connecting pipe before the connecting pipe is inflated and molded
C1＝C0+247-225＝171.51
That is, the cord fabric was wound with a spiral height of 171.51 before inflation molding. As can be seen from fig. 10, the radius of the spiral line is 79, the number of turns of the spiral line is:
n0＝171.51/(2π*79/tgα)＝0.2604
taking k as 0.95, the number of spiral coils of the deformation section after inflation molding is as follows:
n1＝n0*k＝0.2474
referring to fig. 12, the number of turns of the spiral is changed to 0.2474 in the properties dialog.
And regenerating a swept curved surface, intersecting the curved surface of the pipe body revolution to obtain an intersection line, and reading the length value of the intersection line to be 214.7949, as shown in fig. 19.
Calculating the length of the cord thread spiral line before inflation deformation as follows:
L0＝C1/cosα＝171.51/cos37＝214.7538
and calculating the length difference D between the spiral line and the intersection line.
D＝L0－L1＝214.7538-214.7949＝-0.041
The discrimination value T is taken to be 0.4. Here, -T < D < T, indicating that the current initial deployment length is appropriate. Therefore, the calculated deployment length of the adapter tube is 247.
The above-mentioned embodiments only express the specific embodiments of the present invention, and the description thereof is more specific and detailed, but not construed as limiting the scope of the present invention. It should be noted that, for a person skilled in the art, several variations and modifications can be made without departing from the inventive concept, which falls within the scope of the present invention.
Claims (8)
1. An illustration method for calculating the expansion length of an arc-shaped rubber vibration reduction connecting pipe is disclosed, wherein the arc-shaped rubber vibration reduction connecting pipe (1) comprises three parts, namely a deformation section (1.1) in the middle and fixing sections (1.2) positioned at two ends of the deformation section (1.1), the symmetrical double-arc-shaped flexible pipe body (1) comprises a framework structure layer (1b), and the framework structure layer (1b) is a multi-layer cord fabric layer formed by alternately wrapping cord fabrics; the inner side and the outer side of the framework structure layer (1b) are respectively provided with a rubber layer (1 a); the method is characterized by comprising the following steps:
step one, according to a design drawing of the arc-shaped rubber vibration-damping connecting pipe, determining a part participating in deformation during the inflation forming of the connecting pipe, namely a deformation section (1.1), wherein the length of the deformation section during the forming is marked as C0The outer side of the deformation section is called a fixed section (1.2);
preliminarily assuming the expansion length value L of an arc rubber vibration damping connecting pipeXAccording to the initially determined deployment length LXThe difference value between the length L of the formed connecting pipe and the forming length L of the connecting pipe is the length change value X of the deformation section during the inflation forming of the connecting pipe, so as to determine the length of the deformation section of the middle cord fabric layer (1b.1) of the multi-layer cord fabric layer of the connecting pipe before the inflation forming of the connecting pipe, and the length is marked as C1，C1＝C0+X；
Step two, according to the design drawing of the arc rubber vibration-damping connecting pipe, making an arc revolution space curved surface S of the deformation section of the connecting pipe0；
Step three, making a spiral line Q reflecting the winding of one cord thread on the middle cord ply (1b.1) of the deformation section;
step four, generating a swept curved surface S according to the spiral line Q in the step three1；
Step five, making the sweep curve obtained in the step fourNoodle S1And the revolution space curved surface S obtained in the step two0Cross line L of1And obtaining a line of intersection L1Length of (d);
step six, solving the length L of the cord thread spiral line of the connection pipe deformation section before inflation deformation0With the above-mentioned intersecting line L1If D is the length difference D>If the expansion length value of the preliminary assumption in the step one is over large, reducing the expansion length value of the preliminary assumption, returning to the step one, and repeating the steps;
if D < -T indicates that the initially assumed unfolding length value in the step one is too small, the initially assumed unfolding length value is increased, the step one is returned, and the steps are repeated;
if T is more than or equal to D and more than or equal to-T, the preliminarily assumed unfolding length value in the step one is appropriate, and the preliminarily assumed unfolding length value is the unfolding length value to be calculated;
wherein the length L of the cord helix before deformation by inflation0＝C1And/cos α, α is the helix angle of the helix.
2. The graphical method for calculating the deployment length of the arc-shaped rubber vibration-damping connecting pipe as claimed in claim 1, wherein in the first step, the deployment length L of the arc-shaped rubber vibration-damping connecting pipe is preliminarily setXAnd (4) taking the value of X as L + X and 18-22 mm.
3. The graphical method for calculating the deployment length of the arc-shaped rubber vibration-damping connecting pipe as claimed in claim 1, wherein in the second step, the space of revolution curved surface S0The middle cord fabric layer (1b.1) of the multi-layer cord fabric layer wound on the connecting pipe is a spatial revolution surface of the deformation section.
4. The graphical method for calculating the expansion length of an arc-shaped rubber vibration-damping connecting pipe as claimed in claim 1, wherein in the third step, the helical line Q is a length value C of a deformation section before forming corresponding to an initially set expansion length1The height of the helix is determined by the diameter of the middle cord fabric (1b.1) of the multi-ply cord fabric wound on the connecting pipe and the winding angle of the cord fabric as the helixThe helix angle of (a).
5. The graphical method for calculating the extended length of the arc-shaped rubber vibration damping connecting pipe as claimed in claim 1, wherein in the fourth step, a swept curved surface S is generated1The specific method is that a radial straight line segment is made at the bottom starting point of the spiral line and is used as a setron line LSAnd then scan the setron line L by the sameSSweeping along the spiral line Q results in a spatial curved surface.
6. The graphical method for calculating the unfolding length of the arc-shaped rubber vibration damping connecting pipe according to claim 1, wherein in the sixth step, T is 0.4-0.5 mm.
7. An illustration method for calculating the deployment length of an arc-shaped rubber vibration damping connecting pipe according to claim 1, wherein the arc-shaped rubber vibration damping connecting pipe is a single arc-shaped rubber vibration damping connecting pipe or a double arc-shaped rubber vibration damping connecting pipe.
8. The graphical method for calculating the extended length of the arc-shaped rubber vibration damping connecting pipe as claimed in claim 1, wherein the curved surface S is generated1Before, the number of turns of adjustment helix for the number of turns of the helix of deformation section before aerifing the shaping is: n is0H/(2 pi r/tg α), where h is the height of the helix and r is the helix radius of the helix; the number of spiral coils of the deformation section after inflation molding is as follows: n is1＝n0*k，k＝0.93～0.97。
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