A method for laying out and fabricating the outer plate of a side-push flared mouth

Abstract

This invention provides a method for laying out the outer plate of a thruster flare, relating to the field of thruster flare laying. The method includes the following steps: in the rear view of the thruster hull, determining the diameter of the outer / inner circle of the thruster flare and the width of the thruster flare; in the side view of the hull, dividing the outer and inner circles of the flare into multiple equal parts; extracting the outer plate rib lines corresponding to each division point of the outer / inner circle of the flare from the outer plate profile library, projecting each division point of the outer / inner circle of the flare onto the corresponding outer plate rib lines, and smoothly connecting the projection points to form the outer circle projection of the outer / inner circle of the flare onto the outer plate rib lines; in the rear view of the thruster hull, offsetting the inner circle of the flare to obtain the actual rear view of the outer / inner circle of the thruster flare; drawing a semicircle with an auxiliary circle AB as its diameter, and dividing the semicircle into six equal parts; unfolding the auxiliary circle using a rotation method; and unfolding the outer / inner circle of the flare according to the characteristics of a cone.

Description

Technical Field

[0001] This invention relates to the field of side-push flare layout technology, and in particular to a method for laying out and manufacturing the outer plate of a side-push flare. Background Technology

[0002] A side thruster is a device used to assist a ship in turning or lateral movement. Typically, a transverse channel is provided on the hull that runs through both sides of the ship. The side thruster is installed in the transverse channel and uses a side thrust propeller to push water from one side to the other, using the reaction force of the displacement to assist the ship in turning.

[0003] Currently, shipyards commonly use two methods for designing and fabricating the flared outer plate of the thruster: First, when designing the outer plate profile, a flared profile is added to the thruster area and smoothed linearly to provide a reference for subsequent modeling and layout. The disadvantage of this method is that the flared profile is complex and labor-intensive, and the smoothing process makes it difficult to control the profile, leading to a high error rate during structural modeling and later plate unfolding. Second, designers create a custom flared curved plate using software based on the drawings, then unfold and lay it out, using appropriate software to generate the fabrication in one step. However, the drawback of this method is that the flared plate obtained from the layout lacks inspection and traceability documentation, and the unfolded plate cannot be inspected by the designers during the fabrication process, making it difficult to control the product's manufacturing quality.

[0004] In summary, due to the complex profile of the thruster flare plate, manual linear smoothing is insufficient to control the profile, leading to frequent errors in the unfolded flare plate after hull modeling. Furthermore, software-customized flare plate models cannot trace the various stages of the sprue-out process, making it difficult to guarantee the quality of the product's sprue-out. Summary of the Invention

[0005] To address the aforementioned problems, the present invention aims to provide a method for laying out and manufacturing a side thruster flared outer plate. This method solves the problems of complex profiles of the side thruster flared outer plate, difficulty in controlling the profiles through manual linear smoothing, and the tendency for errors to occur when unfolding the flared outer plate after hull modeling. Furthermore, the method of using software to customize the flared outer plate model makes it impossible to trace each step of the laying out and manufacturing process, thus making it difficult to guarantee the quality of the product's laying out and manufacturing.

[0006] The technical solution of the layout and manufacturing method of the outer plate of the side-push flare mouth of the present invention is as follows:

[0007] The method for laying out and fabricating the outer plate of the side-push flared mouth includes the following steps:

[0008] S1. In the rear view of the hull corresponding to the thruster, determine the diameter D1 of the outer circle of the thruster bell, the diameter D2 of the inner circle of the thruster bell, and the width M of the thruster bell.

[0009] S2. In the side view of the hull, divide the outer circle and inner circle of the flared opening into several equal parts.

[0010] S3. In the outer panel profile library, extract the outer panel rib lines corresponding to each equally divided point of the outer circle of the flared mouth, project each equally divided point of the outer circle of the flared mouth onto the corresponding outer panel rib line, and smoothly connect the projection points on the outer panel rib line to form the outer circle projection of the flared mouth on the outer panel rib line.

[0011] S4. Same as step S3 above, project each of the equal division points of the inner circle of the flared mouth onto the corresponding outer plate rib line, and smoothly connect the projection points on the outer plate rib line to form the inner circle projection of the inner circle of the flared mouth onto the outer plate rib line.

[0012] S5. According to the rear view of the hull corresponding to the side thruster in step S1, the outer circle of the flare mouth runs through the outer plate of the side thruster, and the inner circle of the flare mouth is offset by a distance M relative to the rib line of the outer plate towards the center of the ship. The offset inner circle of the flare mouth is used to obtain the rear view of the true outer / inner circle of the side thruster flare mouth.

[0013] S6. Draw an auxiliary circle parallel to the mid-longitudinal section and with a diameter of AB on one side of the outer circle of the flared mouth. The auxiliary circle, the outer circle of the flared mouth, and the inner circle of the flared mouth are on the same surface of a cone. The vertex of the cone is O.

[0014] In the rear view of the outer / inner circle of the side-push flare, the intersection points of the outer circle of the flare with the cones OA and OB are a and b, respectively, and the intersection points of the inner circle of the flare with the cones OA and OB are c and d, respectively.

[0015] S7. Loft and unfold the frustum formed by the outer circle of the flared mouth and the auxiliary circle in step S6. Make a semicircle with the auxiliary circle AB as the diameter, and divide the semicircle into six equal parts to obtain five division points. Project the five division points of the semicircle perpendicularly to the diameter AB to the five projection points. Connect points A, B and the five projection points with straight lines to the vertex O of the cone, intersecting the outer circle of the flared mouth at twelve intersection points.

[0016] S8. Unfold the auxiliary circle using the rotation method. With the vertex O of the cone as the center and OA as the radius, draw a reference line OA' that passes through the vertex O of the cone and is parallel to the diameter AB. Then, with the endpoint A' of the reference line as the center and one-sixth of the arc length of the semicircle as the radius, draw another circle. With the vertex O of the cone as the center and the line segment connecting vertex O and point A as the radius, draw another circle. The two circles intersect at point 1. o ;

[0017] With point 1 o Draw a circle with vertex O as the center and one-sixth of the arc length of the semicircle as the radius. Draw another circle with vertex O as the center and the line segment connecting vertex O and the first projection point as the radius. The two circles intersect at point 2. oRepeat the above steps and smoothly connect the intersections to obtain the auxiliary circle circumference unfolded spline curve;

[0018] S9. Based on the characteristics of a cone, unfold the outer circle of the flared end; with vertex O as the center and Oa as the radius, intersect the reference line 0A' at point a. o With vertex O as the center and O1' as the radius, intersect at point w1'; repeat the above operation and smoothly connect each intersection point to obtain the outer circle unfolded spline curve;

[0019] S10. Based on the characteristics of the cone, unfold the inner circle of the flared mouth; in the same step as S9, obtain the unfolded spline curve of the inner circle, remove the unfolded spline curve of the auxiliary circle, and connect the two ends of the unfolded spline curve of the outer circle with the unfolded spline curve of the inner circle to obtain the side-push flared mouth plate to be manufactured.

[0020] Furthermore, in step S2, the outer circle and the inner circle of the flared mouth are each divided into twenty-four equal parts.

[0021] Furthermore, in step S3, the twenty-four equally divided points of the outer circle of the flared mouth are projected onto the corresponding outer plate rib lines, and the twenty-four projection points on the outer plate rib lines are smoothly connected to form the outer circle projection of the outer circle of the flared mouth onto the outer plate rib lines.

[0022] Furthermore, in step S4, the twenty-four equally divided points of the inner circle of the flared mouth are projected onto the corresponding outer plate rib lines, and the twenty-four projection points on the outer plate rib lines are smoothly connected to form the inner circle projection of the inner circle of the flared mouth onto the outer plate rib lines.

[0023] Furthermore, in step S7, a semicircle is drawn with the auxiliary circle AB as the diameter, and the semicircle arc is divided into six equal parts to obtain five equal division points P, Q, R, S, T. The five equal division points P, Q, R, S, T of the semicircle arc are projected perpendicularly onto the diameter AB at five projection points 1, 2, 3, 4, 5.

[0024] Connect points A, B, and the five projection points 1, 2, 3, 4, and 5 with the vertex O of the cone using straight lines. These lines intersect the outer circle of the bell-shaped opening at twelve points: a, 1', 2', 3', 4', 5', b, 5", 4", 3", 2", and 1".

[0025] Furthermore, in step S8, a circle is drawn with the endpoint A' of the reference line as the center and one-sixth of the arc length of the semicircle as the radius, and another circle is drawn with the vertex O of the cone as the center and the line segment OA as the radius. The two circles intersect at point 1. o ;

[0026] With point 1 o Draw a circle with point O as the center and one-sixth of the arc length of the semicircle as the radius. Draw another circle with vertex O as the center and line segment O1 as the radius. The two circles intersect at point 2. oRepeat the above steps to obtain 3. o 4 o 5 o B o E o F o G o H o I o A o And smoothly connect A' and 1. o 2 o 3 o 4 o 5 o B o E o F o G o H o I o A o The spline curve of the auxiliary circle's circumference development is obtained;

[0027] Furthermore, in step S9, with vertex O as the center and Oa as the radius, the circle intersects the reference line OA' at point a'; with vertex O as the center and O1' as the radius, the circle intersects the line OA1. o At point w1'; repeat the above operation to obtain intersection points w2', w3', w4', w5', and b. o ,w5”,w4”,w3”,w2”,w1”,wa o Smoothly connect the intersections a', w1', w2', w3', w4', w5', and b. o ,w5”,w4”,w3”,w2”,w1”,wa o The outer circle unfolded spline curve is obtained.

[0028] Furthermore, in step S10, the inner circle of the flared opening is unfolded, and referring to step S9, the intersection points c', n1', n2', n3', n4', n5', and d are obtained respectively. o ,n1”,n2”,n3”,n4”,n5',nc o Smoothly connect the intersection points c', n1', n2', n3', n4', n5', and d. o ,n1”,n2”,n3”,n4”,n5',nc o The inner circle unfolded spline curve is obtained.

[0029] Furthermore, using the endpoint A' of the reference line as the base point, the outer circle unfolded spline curve and the inner circle unfolded spline curve are copied together.

[0030] Beneficial effects: This method for laying out the outer plate of the thruster flare utilizes the fan-shaped unfolding principle of a cone. When fabricating the complex profile of the thruster flare, it avoids the difficulty in controlling the profile through manual linear smoothing, resulting in a more accurate flare plate unfolded after hull modeling. Moreover, compared to flare plates modeled using software, it effectively allows for the tracking of each step in the laying out process, improving the overall quality of the product. Attached Figure Description

[0031] Figure 1 This is a rear view of step S1 in a specific embodiment of the side-push horn mouth outer plate layout manufacturing method of the present invention.

[0032] Figure 2 This is a schematic diagram of the outer circle projection of the flared mouth outer circle on the rib line of the outer plate in steps S2 and S3 of the specific embodiment of the side-push flared mouth outer plate manufacturing method of the present invention.

[0033] Figure 3 This is a rear view of the actual outer / inner circle of the side-push flare mouth in step S5 of a specific embodiment of the layout and fabrication method of the outer plate of the side-push flare mouth of the present invention.

[0034] Figure 4 This is a rear view of the outer / inner circle of the side-push flare mouth and the cone OAB in step S6 of a specific embodiment of the layout and fabrication method of the outer plate of the side-push flare mouth of the present invention.

[0035] Figure 5 This is a schematic diagram of the equal division of the outer circle of the flared mouth in step S7 of a specific embodiment of the method for laying out the outer plate of the side-push flared mouth of the present invention.

[0036] Figure 6 This is a diagram of the auxiliary circle circumferential unfolding spline curve in step S8 of the specific embodiment of the method for laying out the outer plate of the side-push horn mouth of the present invention.

[0037] Figure 7 This is a diagram of the outer circle unfolded spline curve in step S9 of a specific embodiment of the method for laying out the outer plate of the side-push horn mouth of the present invention.

[0038] Figure 8 In a specific embodiment of the method for laying out and manufacturing the outer plate of the side-push flare mouth of the present invention, step S10 describes the side-push flare mouth plate to be manufactured. Detailed Implementation

[0039] The specific embodiments of the present invention will be described in further detail below with reference to the accompanying drawings and examples. The following examples are for illustrative purposes only and are not intended to limit the scope of the invention.

[0040] Specific embodiment 1 of the method for laying out and manufacturing the outer plate of the side-push flare mouth of the present invention, as follows: Figures 1 to 3 As shown, the method for laying out and fabricating the outer plate of the side-push flare mouth includes the following steps:

[0041] S1. In the rear view of the hull corresponding to the side thruster, as shown Figure 1 As shown, determine the diameter D1 of the outer circle of the side-push flare, the diameter D2 of the inner circle of the side-push flare, and the width M of the side-push flare.

[0042] S2. In the side view of the hull, the outer circle and the inner circle of the flare opening are divided into several equal parts. As a further preferred embodiment, in step S2, the outer circle of the flare opening is divided into twenty-four equal parts, and correspondingly, the inner circle of the flare opening is divided into twenty-four equal parts.

[0043] S3. In the outer panel profile library, extract the outer panel rib lines corresponding to each equally divided point of the flared opening's outer circle, such as... Figure 2 As shown, the equal division points of the outer circle of the flared mouth are projected onto the corresponding outer plate rib lines, and the projection points on the outer plate rib lines are smoothly connected to form the outer circle projection of the flared mouth onto the outer plate rib lines. Specifically, in step S3, the twenty-four equal division points of the outer circle of the flared mouth are projected onto the corresponding outer plate rib lines, and the twenty-four projection points on the outer plate rib lines are smoothly connected to form the outer circle projection of the flared mouth onto the outer plate rib lines.

[0044] S4. Similar to step S3 above, specifically, in the outer panel profile library, extract the outer panel rib lines corresponding to the twenty-four equally divided points of the inner circle of the flared mouth, project the twenty-four equally divided points of the inner circle of the flared mouth onto the corresponding outer panel rib lines, and smoothly connect the twenty-four projection points on the outer panel rib lines to form the inner circle projection of the inner circle of the flared mouth onto the outer panel rib lines.

[0045] S5. According to the rear view of the hull corresponding to the side thruster in step S1, the outer circle of the bell mouth extends through the outer plate of the side thruster, as shown below. Figure 3 As shown, the inner circle of the flare is offset by a distance M relative to the outer plate rib line towards the center of the ship. Offsetting the inner circle of the flare yields the rear view of the actual outer / inner circle of the thrust flare.

[0046] S6. Draw an auxiliary circle with a diameter of AB parallel to the mid-longitudinal section on one side of the outer circle of the bell mouth, as shown below. Figure 4 As shown, the auxiliary circle, the outer circle of the flared mouth, and the inner circle of the flared mouth are all on the same surface of the cone, and the vertex of the cone is O. In the rear view of the outer / inner circle of the flared mouth, the intersection points of the outer circle of the flared mouth with the cone OA and OB are a and b, respectively, and the intersection points of the inner circle of the flared mouth with the cone OA and OB are c and d, respectively.

[0047] S7. Loft and unfold the frustum formed by the outer circle of the flared mouth and the auxiliary circle in step S6. Make a semicircle with the auxiliary circle AB as the diameter, and divide the semicircle into six equal parts to obtain five division points. Project the five division points of the semicircle perpendicularly to the diameter AB to the five projection points. Connect points A, B and the five projection points with straight lines to the vertex O of the cone, intersecting the outer circle of the flared mouth at twelve intersection points.

[0048] As a further preferred option, such as Figure 5 As shown, in step S7, a semicircle is drawn with the auxiliary circle AB as the diameter, and the semicircle is divided into six equal parts to obtain five division points P, Q, R, S, and T. The five division points P, Q, R, S, and T of the semicircle are projected perpendicularly onto the diameter AB at five projection points 1, 2, 3, 4, and 5. Points A, B, and the five projection points 1, 2, 3, 4, and 5 are connected to the vertex O of the cone by straight lines, intersecting the outer circle of the trumpet mouth at twelve intersection points: a, 1', 2', 3', 4', 5', b, 5", 4", 3", 2", and 1".

[0049] S8. Unfold the auxiliary circle using the rotation method. With the vertex O of the cone as the center and OA as the radius, draw a reference line OA' that passes through the vertex O of the cone and is parallel to the diameter AB. Then, with the endpoint A' of the reference line as the center and one-sixth of the arc length of the semicircle as the radius, draw another circle. With the vertex O of the cone as the center and the line segment connecting vertex O and point A as the radius, draw another circle. The two circles intersect at point 1. o ; with point 1 o Draw a circle with the center at point O and a radius equal to one-sixth of the arc length of the semicircle. Draw another circle with the center at vertex O and a radius equal to the line segment connecting vertex O and the first projection point. The two circles intersect at point 2. o Repeat the above operations and smoothly connect the intersections to obtain the auxiliary circle circumference unfolded spline curve.

[0050] Specifically, such as Figure 6 As shown, in step S8, a circle is drawn with the endpoint A' of the reference line as the center and one-sixth of the arc length of the semicircle as the radius. Another circle is drawn with the vertex O of the cone as the center and the line segment OA as the radius. The two circles intersect at point 1. o ; with point 1 o Draw a circle with the center at point O and a radius equal to one-sixth of the semicircle's arc length. Draw another circle with the center at vertex O and a radius equal to line segment O1. The two circles intersect at point 2. o Repeat the above steps to obtain 3. o 4 o 5 o B o E o F o G o H o I o A oAnd smoothly connect A' and 1. o 2 o 3 o 4 o 5 o B o E o F o G o H o I o A o The spline curve of the auxiliary circle's circumference expansion is obtained.

[0051] S9. Based on the characteristics of a cone, unfold the outer circle of the flared end; with vertex O as the center and Oa as the radius, intersect the reference line 0A' at point a. o Using vertex O as the center and O1' as the radius, intersect at point w1'; repeat the above operation and smoothly connect each intersection point to obtain the outer circle unfolded spline curve. In this embodiment, as... Figure 7 As shown, in step S9, with vertex O as the center and Oa as the radius, the circle intersects the reference line OA' at point a'; with vertex O as the center and O1' as the radius, the circle intersects the line OA1. o At point w1'; repeat the above operation to obtain intersection points w2', w3', w4', w5', and b. o ,w5”,w4”,w3”,w2”,w1”,wa o Smoothly connect the intersections a', w1', w2', w3', w4', w5', and b. o ,w5”,w4”,w3”,w2”,w1”,wa o The outer circle unfolded spline curve is obtained.

[0052] S10. Based on the characteristics of the cone, unfold the inner circle of the flared mouth; in the same step as S9, obtain the unfolded spline curve of the inner circle, remove the unfolded spline curve of the auxiliary circle, and connect the two ends of the unfolded spline curve of the outer circle with the unfolded spline curve of the inner circle to obtain the side-push flared mouth plate to be manufactured.

[0053] Specifically, in step S10, the inner circle of the flared opening is unfolded, and referring to step S9, the intersection points c', n1', n2', n3', n4', n5', and d are obtained respectively. o ,n1”,n2”,n3”,n4”,n5',nc o Smoothly connect the intersection points c', n1', n2', n3', n4', n5', and d. o ,n1”,n2”,n3”,n4”,n5',nc o The inner circle unfolded spline curve is obtained. Taking the endpoint A' of the reference line as the base point, as shown... Figure 8As shown, the outer circle unfolded spline curve and the inner circle unfolded spline curve are copied together, and the two ends of the outer circle unfolded spline curve and the inner circle unfolded spline curve are connected to obtain the side-push flared mouth plate to be manufactured.

[0054] This method for laying out the outer plate of the thruster flare utilizes the fan-shaped unfolding principle of a cone. When fabricating the complex profile of the thruster flare, it avoids the difficulty in controlling the profile through manual linear smoothing, resulting in a more accurate flare plate unfolded after hull modeling. Moreover, compared to flare plates modeled using software, it effectively allows for the tracking of each step in the laying out process, improving the overall quality of the product.

[0055] The above description is only a preferred embodiment of the present invention. It should be noted that for those skilled in the art, several improvements and substitutions can be made without departing from the technical principles of the present invention, and these improvements and substitutions should also be considered within the scope of protection of the present invention.

Claims

1. A method for laying out and fabricating a side-push flared outer plate, characterized in that, Includes the following steps: S1. In the rear view of the hull corresponding to the thruster, determine the diameter D1 of the outer circle of the thruster bell, the diameter D2 of the inner circle of the thruster bell, and the width M of the thruster bell. S2. In the side view of the hull, divide the outer circle and inner circle of the flared opening into several equal parts. S3. In the outer panel profile library, extract the outer panel rib lines corresponding to each equally divided point of the outer circle of the flared mouth, project each equally divided point of the outer circle of the flared mouth onto the corresponding outer panel rib line, and smoothly connect the projection points on the outer panel rib line to form the outer circle projection of the flared mouth on the outer panel rib line. S4. Same as step S3 above, project each of the equal division points of the inner circle of the flared mouth onto the corresponding outer plate rib line, and smoothly connect the projection points on the outer plate rib line to form the inner circle projection of the inner circle of the flared mouth onto the outer plate rib line. S5. According to the rear view of the hull corresponding to the side thruster in step S1, the outer circle of the flare mouth runs through the outer plate of the side thruster, and the inner circle of the flare mouth is offset by a distance M relative to the rib line of the outer plate towards the center of the ship. The offset inner circle of the flare mouth is used to obtain the rear view of the true outer / inner circle of the side thruster flare mouth. S6. Draw an auxiliary circle parallel to the mid-longitudinal section and with a diameter of AB on one side of the outer circle of the flared mouth. The auxiliary circle, the outer circle of the flared mouth, and the inner circle of the flared mouth are on the same surface of a cone. The vertex of the cone is O. In the rear view of the outer / inner circle of the side-push flare, the intersection points of the outer circle of the flare with the cones OA and OB are a and b, respectively, and the intersection points of the inner circle of the flare with the cones OA and OB are c and d, respectively. S7. Loft and unfold the frustum formed by the outer circle of the flared mouth and the auxiliary circle in step S6. Make a semicircle with the auxiliary circle AB as the diameter, and divide the semicircle into six equal parts to obtain five division points. Project the five division points of the semicircle perpendicularly to the diameter AB to the five projection points. Connect points A, B and the five projection points with straight lines to the vertex O of the cone, intersecting the outer circle of the flared mouth at twelve intersection points. S8. Unfold the auxiliary circle using the rotation method. With the vertex O of the cone as the center and OA as the radius, draw a reference line OA' that passes through the vertex O of the cone and is parallel to the diameter AB. Then, with the endpoint A' of the reference line as the center and one-sixth of the arc length of the semicircle as the radius, draw a circle. With the vertex O of the cone as the center and the line segment connecting vertex O and point A as the radius, draw a circle. The two circles intersect at point 1°. Draw a circle with point 1° as the center and one-sixth of the arc length of the semicircle as the radius. Draw another circle with vertex O as the center and the line segment connecting vertex O and the first projection point as the radius. The two circles intersect at point 2°. Repeat the above operation and smoothly connect each intersection point to obtain the auxiliary circle circumference unfolded spline curve. S9. Based on the characteristics of a cone, unfold the outer circle of the bell mouth; with vertex O as the center and Oa as the radius, intersect the reference line 0A' at point a°; with vertex O as the center and O1' as the radius, intersect at point w1'; repeat the above operations and smoothly connect each intersection point to obtain the unfolded spline curve of the outer circle; S10. Based on the characteristics of the cone, unfold the inner circle of the flared mouth; in the same step as S9, obtain the unfolded spline curve of the inner circle, remove the unfolded spline curve of the auxiliary circle, and connect the two ends of the unfolded spline curve of the outer circle with the unfolded spline curve of the inner circle to obtain the side-push flared mouth plate to be manufactured.

2. The method for laying out and manufacturing the outer plate of the side-push flared mouth according to claim 1, characterized in that, In step S2, the outer circle and the inner circle of the flared mouth are divided into twenty-four equal parts.

3. The method for laying out and manufacturing the outer plate of the side-push flared mouth according to claim 2, characterized in that, in In step S3, the twenty-four equally divided points of the outer circle of the horn mouth are projected onto the corresponding outer plate rib lines, and the twenty-four projection points on the outer plate rib lines are smoothly connected to form the outer circle projection of the outer circle of the horn mouth onto the outer plate rib lines.

4. The method for laying out and manufacturing the outer plate of the side-push flared mouth according to claim 3, characterized in that, In step S4, the twenty-four equally divided points of the inner circle of the flared mouth are projected onto the corresponding outer plate rib lines, and the twenty-four projection points on the outer plate rib lines are smoothly connected to form the inner circle projection of the inner circle of the flared mouth onto the outer plate rib lines.

5. The method for laying out and manufacturing the outer plate of the side-push flared mouth according to claim 1, characterized in that, In step S7, a semicircle is drawn with the auxiliary circle AB as the diameter, and the semicircle arc is divided into six equal parts to obtain five equal division points P, Q, R, S, T. The five equal division points P, Q, R, S, T of the semicircle arc are projected perpendicularly onto the diameter AB at five projection points 1, 2, 3, 4, 5. Connect points A, B, and the five projection points 1, 2, 3, 4, and 5 with the vertex O of the cone using straight lines. These lines intersect the outer circle of the bell-shaped opening at twelve points: a, 1', 2', 3', 4', 5', b, 5", 4", 3", 2", and 1".

6. The method for laying out and manufacturing the outer plate of the side-push flared mouth according to claim 5, characterized in that, In step S8, a circle is drawn with the endpoint A' of the reference line as the center and one-sixth of the arc length of the semicircle as the radius, and a circle is drawn with the vertex O of the cone as the center and the line segment OA as the radius. The two circles intersect at point 1°. Draw a circle with point 1° as the center and one-sixth of the arc length of the semicircle as the radius. Draw another circle with vertex O as the center and line segment O1 as the radius. The two circles intersect at point 2°. Repeat the above operation to obtain 3°, 4°, 5°, B°, E°, F°, G°, H°, I°, and A°. Smoothly connect A', 1°, 2°, 3°, 4°, 5°, B°, E°, F°, G°, H°, I°, and A° to obtain the auxiliary circle circumference unfolded spline curve.

7. The method for laying out and manufacturing the outer plate of the side-push flared mouth according to claim 6, characterized in that, in In step S9, with vertex O as the center and Oa as the radius, the reference line 0A' is intersected at point a'; with vertex O as the center and O1' as the radius, the line 01° is intersected at point w1'; repeat the above operation to obtain intersection points w2', w3', w4', w5', b°, w5”, w4”, w3”, w2”, w1”, wa°, and smoothly connect the intersection points a', w1', w2', w3', w4', w5', b°, w5”, w4”, w3”, w2”, w1”, wa° to obtain the outer circle unfolded spline curve.

8. The method for laying out and manufacturing the outer plate of the side-push flared mouth according to claim 7, characterized in that, In step S10, the inner circle of the flared opening is unfolded. Referring to step S9, the intersection points c', n1', n2', n3', n4', n5', d°, n1”, n2”, n3”, n4”, n5', and nc° are obtained respectively. The intersection points c', n1', n2', n3', n4', n5', d°, n1”, n2”, n3”, n4”, n5', and nc° are then smoothly connected to obtain the unfolded spline curve of the inner circle.

9. The method for laying out and manufacturing the outer plate of the side-push flared mouth according to claim 1, characterized in that, Using the endpoint A' of the reference line as the base point, copy the outer circle unfolded spline curve and the inner circle unfolded spline curve together.

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