CN114048559A - Meshing transmission configuration method for polygonal contour - Google Patents
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Abstract
The invention relates to the technical field of mechanical design, and discloses a meshing transmission configuration method for a polygonal contour, which comprises the following steps: confirming the number N of polygons of the polygon, and marking as N-polygon; acquiring the meshing curve of the N-polygon, and acquiring a driving wheel book by taking the meshing curve of the N-polygon as a contour, wherein the driving wheel book is marked as an N-lobe quincuncial head; acquiring a meshing curve calculation formula of one petal of the N petal plum heads; acquiring an N-sided polygon meshing curve calculation formula according to the N-sided polygon, the N-sided plum blossom head and a meshing curve of one petal of the N-sided plum blossom head; obtaining the outline of the N-lobe wobbler according to an engagement curve calculation formula of the N-polygon, and manufacturing the N-lobe wobbler; and combining the manufactured N-petal wobbler head with an N-edge meshing curve calculation formula to configure and arrange the meshing transmission of the N-edge outline. The invention can realize the meshing transmission under the contact of the polygonal contour and solve the problem of difficult transmission of the polygonal contour.
Description
Technical Field
The invention relates to the technical field of mechanical design, in particular to a meshing transmission configuration method for a polygonal outline, and provides a linear design of a polygonal meshing curve, which can realize meshing transmission under the contact of the polygonal outline and solve the problem of difficult transmission of the polygonal outline.
Background
In the field of aircraft assembly equipment manufacturing, partial automation equipment needs to automatically perform operations of screwing or unscrewing nuts and bolts, and because the outlines of bolt heads and nuts are polygons, the operations of automatically screwing and unscrewing are key difficulties, and if the equipment is used for simulating the operations of manually operating by using a wrench, the structure of the equipment is abnormally complex, the size is large, and the equipment is difficult to apply to actual equipment.
Therefore, a mechanism design with reliable tightening is needed to solve the existing problems, and the mechanism structure is as simple and practical as possible from the viewpoint of economy and durability, has high transmission efficiency, and has very good practical effect in engineering practice.
Disclosure of Invention
The invention aims to provide a meshing transmission configuration method for polygonal outlines, which realizes the function of meshing transmission under the contact of the polygonal outlines and has the effect of solving the problem of difficult transmission of the polygonal outlines.
The invention is realized by the following technical scheme: a meshing transmission configuration method for polygonal profiles, comprising:
s1, determining the number N of polygons of a polygon, and recording the number N as the N polygons;
s2, acquiring the meshing curve of the N-shaped polygon, acquiring a driving wheel book by taking the meshing curve of the N-shaped polygon as a contour, and marking the driving wheel book as an N-lobe plum head;
s3, obtaining a meshing curve calculation formula of one petal of the N-petal plum-shaped rotary head according to the side length a of the N-polygon, the rotating center distance between the N-polygon and the N-petal plum-shaped rotary head D, N, the rotating angle theta of the N-polygon and the N-petal plum-shaped rotary head, the distance y from one point on a meshing curve of the N-polygon to the rotating center when the N-polygon rotates theta degrees, the vertical distance between the center point of the N-polygon and any one side L, N, the center angle beta corresponding to any one side of the N-polygon, and the distance x from one point on the meshing curve of the N-polygon to the rotating center when the N-polygon rotates theta degrees;
s4, acquiring an N-sided engaging curve according to the N-sided polygon, the N-sided plum swivel and an engaging curve calculation formula of one petal of the N-sided plum swivel;
s5, manufacturing an N-lobe plum blossom rotary head according to the meshing curve of the N-shaped edge;
and S6, combining the manufactured N-petal plum-shaped rotary head with the meshing curve of the N-polygon to configure and arrange the meshing transmission of the outline of the N-polygon.
The technical scheme is that aiming at an application scene that multi-part nuts need to be automatically screwed in engineering, a polygonal meshing curve is researched to obtain a polygonal meshing curve formula, the simplification of the engineering scheme is considered, a structure that the meshing curve is arranged along a straight line is not adopted, the meshing curve is arranged along a circumference, and the structural design of a multi (N) polygon meshing transmission driving wheel 'multi (N) lobe quincuncial head' is obtained, wherein N of a polygon (N polygon) is more than 2 and also accords with logic common knowledge, and because the technical scheme is used for the outlines of the polygonal bolt head and the nut, the condition that N is more than 2 but is infinitely more than 2 does not exist.
In order to better implement the present invention, step S2 further includes:
when the N-lobe wobbler and the N-polygon respectively rotate by the same angle, the sum of the distances from any reference point on the N-polygon to the respective rotation center of the point on the meshing curve of the N-polygon meshed with the reference point is the distance between the two rotation centers;
the distance between the two rotation centers is always unchanged.
In the technical scheme, the requirement for meeting the meshing condition of the polygons is met, and the conversion is a mathematical language that when the multi (N) lobe quincuncial head and the multi (N) polygon respectively rotate by the same angle theta degrees, the sum of the distances from any reference point on the multi (N) polygon and a point meshed with the reference point on a meshing curve to the respective rotation centers is the distance between the two rotation centers and is always constant.
In order to better implement the present invention, step S3 further includes:
calculating the distance y from one point on an N-polygon meshing curve to the rotation center when the N-polygon rotates theta degrees and the rotation center distance D between the N-polygon and the N-lobe wobbler according to the pythagorean theorem and the cosine theorem;
when the N-polygon rotates theta degrees, the formula of the distance y from one point on the meshing curve of the N-polygon to the rotation center is as follows:
n2＝y2-L2＝y2+L2-2·y·L·cosθ；
the formula of the rotating center distance D between the N-edge and the N-lobe wobbler head is as follows:
in order to better implement the present invention, step S3 further includes:
obtaining a profile curve formula of the N-petal plum-shaped rotary head according to a curve meshing principle, a formula of a distance y from one point on an N-polygonal meshing curve to a rotary center when the N-polygonal rotates theta degrees and a formula of a distance D between the N-polygonal and the rotary center of the N-petal plum-shaped rotary head:
in order to better implement the present invention, step S3 further includes:
obtaining the value range of the rotation angle theta according to the N-polygon:
when theta is equal to 0 DEG
When in use
When the temperature of the water is higher than the set temperature,
obtaining a relation formula between a distance y from a point on an N-polygon meshing curve to a rotation center when the N-polygon rotates theta degrees and a distance x from a point on the N-polygon meshing curve to the rotation center according to the value range of the rotation angle theta:
in the technical scheme
Within the range, the multi-petal wobbler head has driving force on the polygon
The polygon in the range has driving force to the multi-petal plum-blossom-shaped rotary head.
In order to better implement the present invention, the formula for calculating the engagement curve of one petal of the N-petal wobbler in step S3 is as follows:
in the technical scheme, the method comprises the following steps of,
is an argument definitional field
In order to better implement the present invention, the N-shaped meshing curve in step S4 is a meshing curve of one petal N times along the circumferential array.
In order to better implement the present invention, step S6 further includes:
s6.1, configuring two N-petal plum rotary heads;
s6.2, coinciding the highest point of one of the N-lobe wobblers with the middle point of the straight edge of the N-sided polygon, and coinciding the concave point of the other N-lobe wobbler with the sharp point of the N-sided polygon;
and S6.3, configuring a driving intermediate wheel to realize transmission according to the distance between the two N-petal plum-shaped rotary heads.
In the technical scheme, full coverage of the driving force within 360 degrees is realized through the meshing transmission configuration of the polygonal outline, the structure of the equipment is greatly simplified, and the efficiency is improved.
Compared with the prior art, the invention has the following advantages and beneficial effects:
(1) the invention can realize the meshing transmission under the contact of the polygonal contour, and solves the problem of difficult transmission of the polygonal contour;
(2) the meshing curve design of the invention can realize the meshing transmission of the polygonal outline, greatly simplifies the structure of the equipment, has high transmission efficiency and has very good actual effect when being applied to engineering practice.
(3) The polygonal meshing transmission can realize the screwing and loosening of the multi-part nut through simple rotary application, and the device has simple structure and small volume.
(4) The technical scheme of the invention can be popularized to polygonal driving without greatly changing the design structure.
Drawings
The invention is further described in connection with the following figures and examples, all of which are intended to be open ended and within the scope of the invention.
Fig. 1 is a flowchart of a method for configuring a meshing transmission for a polygonal contour according to the present invention.
Fig. 2 is a schematic structural diagram of the meshing transmission for polygonal contours provided by the present invention.
Wherein: 10. six-petal plum head M1; 11. six-petal plum head M2; 12. gear C1; 13. gear C2; 14. adjusting the rotary drive gear C3; 15. and a hexagon shape.
Detailed Description
Example 1:
as shown in fig. 1, the present embodiment discloses an engagement driving configuration method for a polygonal contour, including:
s1, determining the number N of polygons of a polygon, and recording the number N as the N polygons;
s2, acquiring the meshing curve of the N-shaped polygon, acquiring a driving wheel book by taking the meshing curve of the N-shaped polygon as a contour, and marking the driving wheel book as an N-lobe plum head;
s3, obtaining a meshing curve calculation formula of one petal of the N-petal plum-shaped rotary head according to the side length a of the N-polygon, the rotating center distance between the N-polygon and the N-petal plum-shaped rotary head D, N, the rotating angle theta of the N-polygon and the N-petal plum-shaped rotary head, the distance y from one point on a meshing curve of the N-polygon to the rotating center when the N-polygon rotates theta degrees, the vertical distance between the center point of the N-polygon and any one side L, N, the center angle beta corresponding to any one side of the N-polygon, and the distance x from one point on the meshing curve of the N-polygon to the rotating center when the N-polygon rotates theta degrees;
s4, acquiring an N-sided engaging curve according to the N-sided polygon, the N-sided plum swivel and an engaging curve calculation formula of one petal of the N-sided plum swivel;
s5, manufacturing an N-lobe plum blossom rotary head according to the meshing curve of the N-shaped edge;
and S6, combining the manufactured N-petal plum-shaped rotary head with the meshing curve of the N-polygon to configure and arrange the meshing transmission of the outline of the N-polygon.
In this embodiment, in view of the application scenario that multi-side nuts need to be screwed automatically in engineering, a polygonal meshing curve is studied to obtain a polygonal meshing curve formula, and a structural design of a multi (N) lobe quincunx head of a multi (N) lobe meshing transmission driving wheel is obtained by not adopting a structure that the meshing curve is arranged along a straight line but arranging the meshing curve along a circumference, in this embodiment, a polygonal meshing curve is calculated by determining the side length of a polygon, a hexagonal and quadrangular meshing curve formula is given herein, the rest polygons are analogized, a multi (N) lobe quincunx head profile is determined, a multi (N) lobe quincunx head is manufactured, a gear layout behind the multi (N) lobe quincunx head is determined, that is, the N lobe quincunx head profile is obtained according to the N-side meshing curve calculation formula, and the N lobe quincunx head is manufactured, and related elements are manufactured, and the system is assembled to complete the design, manufacture and assembly of the polygonal meshing driving mechanism.
Example 2:
in this embodiment, further optimization is performed on the basis of embodiment 1, and it is necessary to satisfy the engagement condition of the polygon, and the conversion is made into a mathematical language "when the multi (N) lobe merry-go-round head and the multi (N) polygon rotate by the same angle θ °, the sum of the distances from any reference point on the multi (N) polygon and the point on the engagement curve engaged with the reference point to the respective rotation centers is the distance between the two rotation centers, and is always constant".
Other parts of this embodiment are the same as embodiment 1, and thus are not described again.
Example 3:
this embodiment is further optimized on the basis of embodiment 1, as shown in fig. 2, let N in the polygon be 6, take a hexagon as an example, the N-lobe wobbler obtained at this time is a six-lobe wobbler, and calculate a distance y from a point on a hexagonal meshing curve to a rotation center when the hexagon rotates by θ ° and a rotation center distance D between the hexagon and the six-lobe wobbler according to the pythagorean theorem and the cosine theorem.
Other parts of this embodiment are the same as embodiment 1, and thus are not described again.
Example 4:
this embodiment is further optimized on the basis of any one of the above embodiments 1 to 3, where N in the polygon is 6, taking a hexagon as an example, the N-lobe wobbler obtained at this time is a six-lobe wobbler, and a profile curve formula of the six-lobe wobbler is obtained according to a curve meshing principle, a formula of a distance y from a point on a meshing curve of the hexagon to a rotation center when the N-lobe wobbler rotates by θ °, and a formula of a distance D between the hexagon and the rotation center of the six-lobe wobbler.
Other parts of this embodiment are the same as any of embodiments 1 to 3, and thus are not described again.
Example 5:
this embodiment is further optimized on the basis of any of embodiments 1 to 4 above, wherein N in the polygon is 6, and taking the hexagon as an example, six lobes of the wobbler head have driving force on the hexagon in the range of 0 ° -30 °, and the hexagon has driving force on the multi-lobe wobbler head in the range of-30 ° -0 °.
Other parts of this embodiment are the same as any of embodiments 1 to 4, and thus are not described again.
Example 6:
this embodiment is further optimized on the basis of any of embodiments 1 to 5, in which N in the polygon is 6, and the hexagon is taken as an example, and the meshing curve for hexagonal meshing calculation is used, but the calculation method in the present invention is not limited to the hexagon, and the same method can be generalized to the meshing curve calculation of the N-shaped polygons … …, such as the triangle, the quadrangle, and the pentagon.
Other parts of this embodiment are the same as any of embodiments 1 to 5, and thus are not described again.
Example 7:
this embodiment is further optimized based on any one of the embodiments 1 to 6, and other parts of this embodiment are the same as any one of the embodiments 1 to 6, and thus are not described again.
Example 8:
this embodiment is further optimized based on embodiment 1, as shown in fig. 2, in this embodiment, let N in the polygon be 6, take hexagon 15 as an example, and show two six-petal wobbler (M1)10 and six-petal wobbler (M2)11, when only a single six-petal wobbler (M1)10 is driven, the contact point between the high point of the contour curve of the six-petal wobbler (M1)10 and the midpoint of the straight side of the hexagon 15 is the boundary point of the driving force, and at this time, the rear half arc has no driving force, so that continuous driving cannot be realized, in order to solve this problem, two six-petal wobbler (M1)10 and six-petal wobbler (M2)11 are arranged at 90 °, and it is necessary to ensure that the relative position relationship between the two six-petal wobbler (M1)10 and the six-petal wobbler (M2)11 and the hexagon 15 is as shown in fig. 2, and this relative position relationship is that the highest point of one of the six-petal wobbler (M1)10 coincides with the midpoint of the hexagon 15, the concave point of another six-petal plum-shaped rotary head (M2)11 is superposed with the sharp point of the hexagon 15; in the layout, two six-petal plum heads (M1)10 and six-petal plum head (M2)11 have a driving force part and a non-driving force part, when one six-petal plum head (M1)10 has no driving force, the driving force of the other six-petal plum head (M2)11 is maximum, and finally, full coverage within 360 degrees of the driving force is realized.
Two six-lobed wobbler (M1)10 and six-lobed wobbler (M2)11 are attached to the gear (C1)12 and the gear (C2)13, and rigidly connected to the gear (C1)12 and the gear (C2)13, and the gear (C1)12 and the gear (C2)13 are engaged with the rotary drive gear (C3) 14. In practical engineering, 3 gears should be assembled, and then two six-lobed wobblers (M1)10 and M2)11 should be fixed in phase relation to the gear (C1)12 and the gear (C2)13, respectively. Under the drive of the rotary driving gear (C3)14, the gear (C1)12 and the gear (C2)13 rotate in the same rotating direction to drive the hexagon 15 to rotate, the rotating direction of the rotary driving gear (C3)14 is the same as that of the hexagon 15 under the structure, the rotating direction of the hexagon 15 can be adjusted by adjusting the rotating direction of the rotary driving gear (C3)14, and the nut can be screwed and disassembled in engineering.
Other parts of this embodiment are the same as embodiment 1, and thus are not described again.
In addition, although the above-mentioned embodiment is directed to the meshing curve calculated by the hexagonal meshing calculation, the calculation method is not limited to the hexagon, and the same can be extended to the meshing curve calculation of the trilateral, quadrilateral and pentagon … … N-sided polygon, taking the quadrilateral as an example, the outline of the quadrilateral curve is composed of 4 arcs, the driving force taking the curve as the outline is the quadralobe-quincuncial head, the meshing curve calculation formula of the quadrilateral is calculated according to the side length of the quadrilateral, the distance between the center of rotation of the quadralobe-quincuncial head, the rotation angle of the quadralobe-quincuncial head, the distance from one point on the outline to the center of rotation when the quadrilateral rotates by theta degrees, the vertical distance from one point on the outline to the center line of the quadrilateral and quadralobe-quincuncial head when the quadrilateral rotates by theta degrees, and the distance from one point on the outline to the center of rotation when the quadralobe-quincuncial head rotates by theta degrees, and because when the quadrilateral is driven, since the distance between the two four-petal wobbler heads is relatively long, the transmission can be realized by adding a plurality of adaptive driving intermediate wheels in the middle, and the transmission layout shown in fig. 2 is only one of the four-petal wobbler heads, but the practical application is not limited to this. The meshing curve calculation method is not limited to the hexagon, can be popularized and applied to the N-polygon, and solves the problem of meshing drive of any polygon; the embodiment gives the meshing curve equation and the transmission scheme design of the quadrilateral drive on the basis of the hexagonal drive, and the rest polygons can be analogized.
The above description is only a preferred embodiment of the present invention, and is not intended to limit the present invention in any way, and all simple modifications and equivalent variations of the above embodiments according to the technical spirit of the present invention are included in the scope of the present invention.
Claims (8)
1. A method of gearing an arrangement for a polygonal profile, comprising:
s1, determining the number N of polygons of a polygon, and recording the number N as the N polygons;
s2, acquiring the meshing curve of the N-shaped polygon, acquiring a driving wheel book by taking the meshing curve of the N-shaped polygon as a contour, and marking the driving wheel book as an N-lobe plum head;
s3, obtaining a meshing curve calculation formula of one petal of the N-petal plum-shaped rotary head according to the side length a of the N-polygon, the rotating center distance between the N-polygon and the N-petal plum-shaped rotary head D, N, the rotating angle theta of the N-polygon and the N-petal plum-shaped rotary head, the distance y from one point on a meshing curve of the N-polygon to the rotating center when the N-polygon rotates theta degrees, the vertical distance between the center point of the N-polygon and any one side L, N, the center angle beta corresponding to any one side of the N-polygon, and the distance x from one point on the meshing curve of the N-polygon to the rotating center when the N-polygon rotates theta degrees;
s4, acquiring an N-sided engaging curve according to the N-sided polygon, the N-sided plum swivel and an engaging curve calculation formula of one petal of the N-sided plum swivel;
s5, manufacturing an N-lobe plum blossom rotary head according to the meshing curve of the N-shaped edge;
and S6, combining the manufactured N-petal plum-shaped rotary head with the meshing curve of the N-polygon to configure and arrange the meshing transmission of the outline of the N-polygon.
2. The gearing arrangement method for polygonal contours according to claim 1, characterized in that said step S2 comprises:
when the N-lobe wobbler and the N-polygon respectively rotate by the same angle, the sum of the distances from any reference point on the N-polygon to the respective rotation center of the point on the meshing curve of the N-polygon meshed with the reference point is the distance between the two rotation centers;
the distance between the two rotation centers is always unchanged.
3. The gearing arrangement method for polygonal contours according to claim 1, characterized in that said step S3 comprises:
calculating the distance y from one point on an N-polygon meshing curve to the rotation center when the N-polygon rotates theta degrees and the rotation center distance D between the N-polygon and the N-lobe wobbler according to the pythagorean theorem and the cosine theorem;
when the N-polygon rotates theta degrees, the formula of the distance y from one point on the meshing curve of the N-polygon to the rotation center is as follows:
n2＝y2-L2＝y2+L2-2·y·L·cosθ；
the formula of the rotating center distance D between the N-edge and the N-lobe wobbler head is as follows:
4. the gearing arrangement method for polygonal contours according to any of claims 1-3, characterized in that said step S3 further comprises:
obtaining a profile curve formula of the N-petal plum-shaped rotary head according to a curve meshing principle, a formula of a distance y from one point on an N-polygonal meshing curve to a rotary center when the N-polygonal rotates theta degrees and a formula of a distance D between the N-polygonal and the rotary center of the N-petal plum-shaped rotary head:
5. the gearing arrangement method for polygonal contours according to any of claims 1-4, characterized in that said step S3 further comprises:
obtaining the value range of the rotation angle theta according to the N-polygon:
when theta is equal to 0 DEG
When in use
When the temperature of the water is higher than the set temperature,
obtaining the distance y from one point on the meshing curve of the N-polygon to the rotation center when the N-polygon rotates theta degrees and the distance from one point on the meshing curve of the N-polygon to the rotation center according to the value range of the rotation angle thetaThe relationship between x:
6. the meshing transmission configuration method for polygonal contours of any one of claims 1-5, wherein the meshing curve calculation formula of one petal of N petals of a quincuncial head in the step S3 is as follows:
7. the meshing transmission configuration method for polygonal contours of any one of claims 1-6, wherein the meshing curve of the N-shape in step S4 is a meshing curve of one petal N times along a circumferential array.
8. The gearing arrangement method for polygonal contours according to claim 1, characterized in that said step S6 comprises:
s6.1, configuring two N-petal plum rotary heads;
s6.2, coinciding the highest point of one of the N-lobe wobblers with the middle point of the straight edge of the N-sided polygon, and coinciding the concave point of the other N-lobe wobbler with the sharp point of the N-sided polygon;
and S6.3, configuring a rotary driving gear to realize transmission according to the distance between the two N-petal plum rotary heads.
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