CN113987864A - Free-form surface meshing method for calculating rigidity of rod end joint - Google Patents
Free-form surface meshing method for calculating rigidity of rod end joint Download PDFInfo
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- CN113987864A CN113987864A CN202111207872.1A CN202111207872A CN113987864A CN 113987864 A CN113987864 A CN 113987864A CN 202111207872 A CN202111207872 A CN 202111207872A CN 113987864 A CN113987864 A CN 113987864A
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Abstract
The invention discloses a free profile gridding method for calculating the rigidity of a rod end joint, which comprises the steps of passivating a sharp corner area of a free profile, and segmenting the free profile by taking a first arc section midpoint, a second arc section intersection point with a first straight line section and a third arc section midpoint as basic control points; a basic control line extends from the basic control point to the direction of the rod end joint body, so that a surface area on the inner side of the free profile on the two-dimensional section is cut into a plurality of closed or non-closed sub-surface areas through the basic control line; respectively carrying out tetrahedral mesh layout on the sub-surface domains to form a full-section mesh layout; the invention carries out meshing processing on the free profile containing the sharp corner area, improves the precision in the rigidity calculation process of the sharp corner area through passivation processing, better carries out surface area cutting on the free profile through segmentation processing on the free profile, and improves the precision and the calculation efficiency in the subsequent finite element analysis and rigidity calculation processes of the free profile.
Description
Technical Field
The invention relates to the technical field of meshing of finite element analysis, in particular to a free profile meshing method for calculating the rigidity of a rod end joint.
Background
The rod end joint is a flexible connection arranged at the rod end, comprises a connecting rod joint, a traction rod joint and a rotor wing flexible connection, and is widely applied to control and power transmission systems in the fields of rail transit, aerospace and the like; the rod end joint is generally formed by vulcanizing a mandrel, a spacer, an outer joint and rubber and is divided into a single-layer rod end joint and a multi-layer rod end joint according to the structural form, wherein the multi-layer rod end joint is a metal rubber vulcanized rod end bearing comprising multiple layers of rubber and multiple layers of spacers, and the multi-layer rod end joint has better multi-axis bearing capacity and can simultaneously bear larger composite loads such as radial load, axial load, torsional load and deflection load.
In the development process of the multilayer rod end joint, the fatigue life evaluation of a rod end bearing is a very critical item. The fatigue life of the rod end bearing is evaluated by a test method and a finite element simulation analysis method, the period and the cost of the test method are considered, the finite element simulation analysis method is applied more and more widely at present, the finite element simulation analysis method is adopted to replace the test in the early pre-research and design stage, the trial-manufacture and test times are reduced, the one-time design success rate of the rod end bearing is improved, the development period of the rod end bearing is shortened, and the development cost of the rod end bearing is reduced.
The simulation analysis difficulty of the fatigue life of the multilayer rod end joint lies in the precision and efficiency of analysis, how to ensure the accuracy of a calculation result and improve the efficiency of simulation analysis, and the grid division is particularly important.
Disclosure of Invention
The invention aims to solve the technical problem of providing a free profile meshing method for calculating the rigidity of a rod end joint, and solves the problems of inaccurate simulation analysis data and low efficiency caused by insufficient calculation precision of the rigidity between a rubber layer and a spacer layer in the rod end joint.
The technical scheme adopted for solving the problems in the prior art is as follows:
a free-form surface meshing method for calculating the rigidity of a rod end joint is provided, and comprises the following steps: the method comprises the steps that a two-dimensional cross section of a rod end joint and a free profile are obtained, wherein the free profile comprises a sharp corner area, and the sharp corner area at least comprises a first arc section and a second arc section which are intersected, a first straight line section which is intersected with the second arc section and a third arc section which is intersected with the other end of the first straight line section;
passivating a sharp corner area of the free profile, wherein the passivating comprises dragging an intersection point of the second arc segment and the first arc segment to the middle point of the first arc segment;
segmenting the free molded surface by taking the middle point of the first circular arc segment, the intersection point of the second circular arc segment and the first straight line segment and the middle point of the third circular arc segment as basic control points;
a basic control line extends from the basic control point to the direction of the rod end joint body, so that a surface area on the inner side of the free profile on the two-dimensional section is cut into a plurality of closed or non-closed sub-surface areas through the basic control line;
and respectively carrying out tetrahedral mesh layout on the sub-surface domains to form a full-section mesh layout.
Further, when a basic control line extends from the midpoint of the first arc segment, the method specifically includes the following steps:
acquiring the midpoint of the first arc segment, the inner side endpoint of the free profile and the midpoint of the second arc segment, and connecting the midpoint and the endpoint of the first arc segment to form a first auxiliary line; connecting the middle point of the second arc segment with the middle point of the first arc segment to form a second auxiliary line; the first auxiliary line and the second auxiliary line form an included angle alpha, the midpoint of the first arc segment is taken as a starting point, and a straight line with an angle of alpha/2 is taken as a first basic control line.
Further, when a base control line extends from the midpoint of the third arc segment, the method specifically includes the following steps:
acquiring the midpoint of the third arc segment, the intersection point of the third arc segment and the first straight line segment, and connecting the midpoint of the third arc segment and the intersection point of the third arc segment and the first straight line segment to form a third auxiliary line; taking the middle point of the third arc segment as a starting point, and making a fourth auxiliary line vertical to the third arc segment; and the third auxiliary line and the fourth auxiliary line form an included angle beta, the midpoint of the third arc segment is taken as a starting point, and a straight line with an angle of beta/3 is taken as a second basic control line.
Furthermore, the method also comprises the step of taking the end point of the second basic control line as a starting point, making a third basic control line parallel to the first straight line segment, and intersecting the first basic control line.
Furthermore, the method also comprises the step of taking the intersection point of the second arc line segment and the first straight line segment as a starting point, making a fourth basic control line parallel to the second basic control line, and intersecting the fourth basic control line with the third basic control line.
Further, the intersection point of the first basic control line and the third basic control line is taken as a starting point, and the middle point of the second arc segment is connected to form a fifth auxiliary line; and taking the intersection point of the third basic control line and the fourth basic control line as a starting point, connecting the midpoint of the fifth auxiliary line and extending to the first basic control line to form a fifth basic control line.
Preferably, the auxiliary line is deleted before the surface area on the two-dimensional section, which is positioned at the inner side of the free profile, is cut into a plurality of closed or non-closed sub-surface areas through the basic control line.
Further, the device also comprises a second straight line section, and the second straight line section is intersected with the first circular arc section.
Still further, the passivation process includes: and dragging the intersection point of the second straight line section and the first circular arc section to the outer end point of the first circular arc section, which is positioned on the free profile.
The beneficial effects are as follows:
the invention carries out meshing processing on the free profile, in particular to the free profile comprising the sharp corner area, improves the precision in the rigidity calculation process of the sharp corner area through passivation processing, better carries out surface domain cutting on the free profile through segmentation processing on the free profile, ensures that the meshing of the free profile is more reasonable, further improves the precision in the subsequent finite element analysis and rigidity calculation processes of the free profile, and improves the calculation efficiency.
Drawings
FIG. 1 is a flow chart illustrating the process of dividing the free profile of the rod end joint according to the present embodiment;
FIG. 2 is a schematic view of a rod end joint structure according to the present embodiment;
FIG. 3 is an enlarged view of the free profile of the end joint rubber and spacer structure of the present embodiment;
FIG. 4 is a diagram of the location of the line segments of the free-form surface of the present embodiment;
FIG. 5 is a graph of the location of the free-profile segment points for this embodiment;
FIG. 6 is a schematic view showing the acquisition of the auxiliary line of the free profile in the present embodiment;
FIG. 7 is a schematic view of a free profile base control line acquisition of the present embodiment;
FIG. 8 is a schematic diagram illustrating the gridding of the undeleted auxiliary lines in the free surface according to the present embodiment;
fig. 9 is a schematic diagram of the meshing of the free-form surface according to the present embodiment.
Detailed Description
The present invention will be further described with reference to specific embodiments, in which the sharp corner region processing and meshing method are described with reference to the state of the free profile formed between the rubber layer and the spacer in the specific rod end joint.
As shown in fig. 1 to 3, the present embodiment provides a free-form surface meshing method for calculating stiffness of a rod end joint, including: and obtaining the two-dimensional section C of the rod end joint and the free profile enlarged image C'.
As shown in fig. 4, the free-form surface includes a sharp corner region a, and in this embodiment, the sharp corner region a includes a first circular arc segment R01 and a second circular arc segment R02 which intersect each other, a first straight line segment L1 which intersects the second circular arc segment R02, a third circular arc segment R03 which intersects the other end of the first straight line segment L1, and a second straight line segment L2 which intersects the first circular arc segment R01.
As shown in fig. 5, the sharp corner region a of the free profile is passivated, including dragging the intersection of the second arc segment R02 and the first arc segment R01 to the midpoint P1 of the first arc segment R01; and dragging the intersection point of the second straight line segment L2 and the first circular arc segment R01 to the position, where the first circular arc segment R01 is positioned at the outer end point P2 of the free profile.
In this embodiment, the free profile is segmented by taking a midpoint P1 of a first arc segment R01, an intersection point P3 of a second arc segment R02 and a first straight line segment L1, and a midpoint P4 of a third arc segment R03 as basic control points;
a basic control line extends from the basic control point to the direction of the rod end joint body, so that a surface area on the two-dimensional section, which is positioned on the inner side of the free profile, is cut into a plurality of closed sub-surface areas and non-closed sub-surface areas through the basic control line; the rod end joint body in this embodiment is oriented to the left.
And respectively carrying out tetrahedral mesh layout on the sub-surface domains to form a full-section mesh layout.
The specific partitioning method in this embodiment is as follows:
1. when a basic control line extends from a midpoint P1 of the first circular arc segment R01, the method specifically comprises the following steps:
as shown in fig. 6 to 7, a midpoint P1 of the first arc segment R01, an inner end point P5 of the free profile, and a midpoint P6 of the second arc segment R02 are obtained, and a midpoint P1 and an end point P5 of the first arc segment R01 are connected to form a first auxiliary line L1'; connecting a midpoint P6 of the second circular arc segment R02 with a midpoint P1 of the first circular arc segment R01 to form a second auxiliary line L2'; the first auxiliary line L1 'and the second auxiliary line L2' form an included angle α, a midpoint P1 of the first arc segment R01 is taken as a starting point, and a straight line with an angle α/2 is taken as a first basic control line B1.
2. As shown in fig. 6 to 7, when the base control line extends from the midpoint P4 of the third arc segment R03, the method specifically includes the following steps:
acquiring intersection points of a midpoint P4 of a third arc segment R03, a third arc segment R03 and a first straight line segment L1, and connecting a midpoint P4 of the third arc segment R03 and an intersection point P7 of a third arc segment R03 and the first straight line segment L1 to form a third auxiliary line L3'; taking a midpoint P4 of the third arc segment R03 as a starting point, and making a fourth auxiliary line L4' perpendicular to the third arc segment R03; the third auxiliary line L3 'forms an included angle beta with the fourth auxiliary line L4', and a straight line with an angle beta/3 is taken as a second basic control line B2 by taking the midpoint P4 of the third arc segment R03 as a starting point.
3. As shown in fig. 7, starting from the end point P8 of the second basic control line B2, parallel to the first straight line segment L1, a third basic control line B3 is made, intersecting with the first basic control line B1 and intersecting with P9.
4. As shown in fig. 7, a fourth basic control line B4 parallel to the second basic control line B2 is made to intersect the third basic control line B3 with the intersection point P10 of the second arc segment R02 and the first straight segment L1 as a starting point.
5. As shown in fig. 7 to 9, a fifth auxiliary line L5' is formed by connecting a midpoint P6 of the second arc segment R02 with an intersection point P9 of the first basic control line B1 and the third basic control line B3 as a starting point; a fifth base control line B5 is formed starting from an intersection P11 of the third base control line B3 and the fourth base control line B4, connecting the midpoints of the fifth auxiliary lines L5' and extending to the first base control line B1.
As shown in fig. 7 to 9, in the present embodiment, the basic control lines B1 to B5 cut the surface area located inside the free-form surface on the two-dimensional cross section into a plurality of closed sub-surface areas, and delete the auxiliary lines; and finishing the meshing of the free profile.
It should be understood that the above examples are only for clearly illustrating the technical solutions of the present invention, and are not intended to limit the embodiments of the present invention. Other variations and modifications will be apparent to persons skilled in the art in light of the above description. Any modification, equivalent replacement, and improvement made within the spirit and principle of the present invention should be included in the protection of the claims of the present invention.
Claims (9)
1. A free-form surface meshing method for rod end joint stiffness calculation, comprising: the method comprises the steps that a two-dimensional cross section of a rod end joint and a free profile are obtained, wherein the free profile comprises a sharp corner area, and the sharp corner area at least comprises a first arc section and a second arc section which are intersected, a first straight line section which is intersected with the second arc section and a third arc section which is intersected with the other end of the first straight line section;
passivating a sharp corner area of the free profile, wherein the passivating comprises dragging an intersection point of the second arc segment and the first arc segment to the middle point of the first arc segment;
segmenting the free molded surface by taking the middle point of the first circular arc segment, the intersection point of the second circular arc segment and the first straight line segment and the middle point of the third circular arc segment as basic control points;
a basic control line extends from the basic control point to the direction of the rod end joint body, so that a surface area on the inner side of the free profile on the two-dimensional section is cut into a plurality of closed or non-closed sub-surface areas through the basic control line;
and respectively carrying out tetrahedral mesh layout on the sub-surface domains to form a full-section mesh layout.
2. The method for meshing the free-form surfaces of the rod end joint stiffness calculation according to claim 1, wherein when a base control line extends from a midpoint of the first arc segment, the method specifically comprises the following steps:
acquiring the midpoint of the first arc segment, the inner side endpoint of the free profile and the midpoint of the second arc segment, and connecting the midpoint and the endpoint of the first arc segment to form a first auxiliary line; connecting the middle point of the second arc segment with the middle point of the first arc segment to form a second auxiliary line; the first auxiliary line and the second auxiliary line form an included angle alpha, the midpoint of the first arc segment is taken as a starting point, and a straight line with an angle of alpha/2 is taken as a first basic control line.
3. The method for meshing the free-form surfaces for calculating the stiffness of the rod end joint according to claim 1, wherein when a base control line extends from a midpoint of the third arc segment, the method specifically comprises the following steps:
acquiring the midpoint of the third arc segment, the intersection point of the third arc segment and the first straight line segment, and connecting the midpoint of the third arc segment and the intersection point of the third arc segment and the first straight line segment to form a third auxiliary line; taking the middle point of the third arc segment as a starting point, and making a fourth auxiliary line vertical to the third arc segment; and the third auxiliary line and the fourth auxiliary line form an included angle beta, the midpoint of the third arc segment is taken as a starting point, and a straight line with an angle of beta/3 is taken as a second basic control line.
4. The method of free-form surface meshing for rod end joint stiffness calculation of claim 3, further comprising drawing a third base control line, parallel to the first straight line segment, intersecting the first base control line, starting at an end point of the second base control line.
5. The method of claim 4, further comprising constructing a fourth base control line parallel to the second base control line and intersecting the third base control line from an intersection of the second arc segment and the first straight segment.
6. The method for meshing free-form surfaces used for calculating the stiffness of a rod end joint according to claim 5, further comprising connecting midpoints of the second arc segments with an intersection point of the first basic control line and a third basic control line as a starting point to form a fifth auxiliary line; and taking the intersection point of the third basic control line and the fourth basic control line as a starting point, connecting the midpoint of the fifth auxiliary line and extending to the first basic control line to form a fifth basic control line.
7. The free-form surface meshing method for calculating the rigidity of the rod end joint according to any one of claims 1 to 6, wherein the auxiliary lines are deleted before a surface area on the two-dimensional section, which is located on the inner side of the free-form surface, is cut into a plurality of closed or non-closed sub-surface areas through basic control lines.
8. The free-profile meshing method for calculating the stiffness of a rod end joint according to any one of claims 1 to 6, further comprising a second straight line segment intersecting the first circular arc segment.
9. The method of free-profile meshing for rod end joint stiffness calculation according to claim 8, wherein the passivation process comprises: and dragging the intersection point of the second straight line section and the first circular arc section to the outer end point of the first circular arc section, which is positioned on the free profile.
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| CN202111207872.1A CN113987864A (en) | 2021-10-18 | 2021-10-18 | Free-form surface meshing method for calculating rigidity of rod end joint |
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| CN202111207872.1A CN113987864A (en) | 2021-10-18 | 2021-10-18 | Free-form surface meshing method for calculating rigidity of rod end joint |
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