CN112084457A - Rotary drum dynamic balance calculation method and computer equipment and storage medium thereof - Google Patents
Rotary drum dynamic balance calculation method and computer equipment and storage medium thereof Download PDFInfo
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Abstract
The invention discloses a method for calculating the dynamic balance of a rotary drum, computer equipment and a storage medium thereof, belonging to the technical field of rotary drum dynamic balance control. The existing scheme is manual adjustment, time and labor are wasted, and the control precision is difficult to meet the requirement. According to the method for calculating the dynamic balance of the rotary drum, the assembly position of the balance block is calculated according to the force balance principle, the balance block is assembled on the rotary drum according to the calculated balance block position data, and then the dynamic balance of the rotary drum after the rotary drum is assembled with a to-be-printed plate is quickly realized. According to the invention, through continuous exploration and test, the existing technical prejudice that only manual adjustment can be carried out is broken, and the position data of the balance block is quickly obtained by establishing a force balance equation set; and then realize the dynamic balance after the rotary drum assembly waits the printing plate fast, the scheme is feasible, labour saving and time saving, can effectively improve the control accuracy of dynamic balance. The control method of the invention can be suitable for printing plates of various types, quickly realize the dynamic balance of the printing plates with new sizes, and improve the debugging and printing plate efficiency.
Description
Technical Field
The invention relates to a method for calculating the dynamic balance of a rotary drum, computer equipment and a storage medium thereof, belonging to the technical field of rotary drum dynamic balance control.
Background
After the drum is finished and the photosensitive plate is mounted, the manufacturing error of the drum causes the phenomenon of asymmetric mass of the drum relative to the center of the shaft due to the fact that the photosensitive plate is wrapped by the drum and the tail clamp moves, and when the drum rotates at a high speed, the centrifugal force is unbalanced, periodic vibration can be generated, publishing quality is affected, the service life of a bearing and the like is shortened, and the phenomenon is very unfavorable for the image printing process.
The dynamic balance adjustment is mainly to eliminate the phenomenon of the integral mass unbalance of the drum by adjusting the dynamic balance blocks at the two ends of the drum. The position through adjusting two balancing pieces about in the debugging makes it realize dynamic balance, but current scheme all is manual regulation, wastes time and energy to control accuracy hardly satisfies the requirement.
Furthermore, the types of printing plates are various, the position of a balance block needs to be manually adjusted when one printing plate is replaced, time and labor are wasted, and debugging and plate making efficiency are affected.
Disclosure of Invention
Aiming at the defects of the prior art, the invention aims to provide a method for establishing a force balance model, which is used for decomposing the centrifugal force of a system, the centrifugal force of a to-be-printed plate and the centrifugal force of a balance block, establishing a force balance equation set, solving unknown quantities and obtaining position data of the balance block; according to the calculated balance block position data, the balance block is assembled on the rotary drum, so that the dynamic balance of the rotary drum after the rotary drum is assembled with the to-be-printed plate can be quickly realized, the debugging efficiency can be effectively improved, and the dynamic balance control precision is improved.
In order to achieve the purpose, the technical scheme of the invention is as follows:
a method for calculating the dynamic balance of a rotary drum specifically comprises the following steps:
the method comprises the following steps of firstly, determining the centrifugal force when a rotary drum system rotates and the gravity center position of the system;
secondly, acquiring parameters of the plate to be printed, wherein the parameters comprise: the centrifugal force when the printing plate rotates and the assembly position of the printing plate;
thirdly, acquiring the number and mass data of the balance blocks;
fourthly, calculating the assembly position of the balance weight according to the force balance principle
Establishing a coordinate system, decomposing the system centrifugal force, the to-be-printed plate centrifugal force and the balance block centrifugal force according to the angular position of the centrifugal force to obtain a force balance equation set, solving unknown quantity and obtaining position data of the balance block;
fifthly, assembling balance blocks on the rotary drum according to the calculated position data of the balance blocks,
and then the dynamic balance of the drum after the printing plate is assembled is rapidly realized.
According to the invention, through continuous exploration and test, the technical prejudice that the existing technology can only be manually adjusted is broken through, and through a force balance model, a force balance equation set is established, so that the position data of the balance block is rapidly obtained; and then realize the dynamic balance after the rotary drum assembly waits the printing plate fast, the scheme is feasible, labour saving and time saving, can effectively improve the control accuracy of dynamic balance.
The control method of the invention can be suitable for printing plates of various types, quickly realize the dynamic balance of the printing plates with new sizes, and further improve the debugging and printing plate efficiency.
As a preferable technical measure:
the centrifugal force of the rotary drum system comprises a left system component force and a right system component force;
two balance blocks are respectively arranged on the left side and the right side of the rotary drum;
the mass of the balance weight is taken as a reference mass, and the value thereof is 1, and other centrifugal forces are converted.
Although the speed of each part of the invention is different, the proportion of the centrifugal force of each part and system to the centrifugal force of the dynamic balance weight is not changed at any speed.
Under any rotating speed of the dynamic balance block, the centrifugal force is taken as a reference quantity, the value of the centrifugal force can be one, and the conversion of the centrifugal force is carried out on other parts and the system, so that the subsequent calculation is facilitated.
As a preferable technical measure:
the centrifugal force of the rotary drum system and the gravity center position of the system are determined by using the rotation balance data of the reference plate.
The method specifically comprises the following steps: the method comprises the following steps of firstly, obtaining parameters of a reference plate, wherein the parameters comprise: the centrifugal force of the reference plate and the assembly position of the reference plate;
secondly, manually adjusting each balance block to enable the rotary drum to be in dynamic balance;
thirdly, recording the centrifugal force of the balance blocks and the data of the assembly positions of the balance blocks after dynamic balance;
fourthly, establishing a coordinate system according to a force balance principle, and calculating the centrifugal force of the rotary drum system and the gravity center position of the system;
decomposing the centrifugal force of the reference plate, the centrifugal force of the balance block and the system force, listing a force balance equation, and solving unknown quantity;
further obtaining the centrifugal force and the gravity center position of the system;
and fifthly, calculating the assembly position required by the balance weight after assembling the new printing plate according to the centrifugal force and the gravity center position of the system.
By the force balance principle and the algorithm model, the centrifugal force of the system and the gravity center position of the system are calculated, so that the subsequent calculation error can be effectively reduced, and the dynamic balance precision of the rotary drum is further improved.
As a preferable technical measure:
determining the number of the reference plates according to the number of the unknown variables;
for a rotary drum system provided with a tail clamp, the number of the reference plates is 2, and the scheme is feasible.
As a preferable technical measure:
calculating the proportionality coefficients of the printing plate and the balance block:
the proportion of the centrifugal force of the printing plate per unit mass relative to the centrifugal force of a single dynamic balance block is certain and is related to the mass and the volume of the printing plate;
the proportionality coefficient of the centrifugal force of one reference plate 1 relative to a single dynamic balance block is a;
the volume ratio of the reference plate 2 to the reference plate 1 is v, and the proportionality coefficient of the centrifugal force of the printing plate 2 to the centrifugal force of a single dynamic balance block at the same speed is v × a.
The proportionality coefficient of the tail clamp relative to a single dynamic balance block under the same speed is b.
As a preferable technical measure:
this results in partial cancellation of the plate centrifugal forces, as the plate width may be greater than half the drum circumference.
In performing the equivalent calculation of the plate mass, the equivalent height of the plate is calculated.
When the width of the printing plate is less than half of the circumference, the equivalent height is the original width, namely:
heigth _ dx is Heigth; equation-4.5
When the width of the printing plate is larger than half of the circumference, the equivalent height is the circumference minus the original width, namely:
height _ dx-height; equation-4.6
Calculating a centrifugal force proportional coefficient:
u＝1；
angle of resultant force of printing plate to head clamp:
c1 ═ heigth/D equation-4.8
The included angle between the centrifugal force of the tail clamp and the head clamp is as follows:
c2 ═ 2(heigth + weijianeshu)/D formula-4.9
u is the centrifugal force proportionality coefficient of the reference plate 1 with respect to the reference plate 1, u1 is the centrifugal force proportionality coefficient of the reference plate 2 with respect to the reference plate 1, and u3 is the centrifugal force proportionality coefficient of the printing plate to be calculated with respect to the reference plate 1.
Weight is the quality of the printing plate; heigth is the width of the plate; the weijiacandhu is a tail nip compensation coefficient which represents the center of mass of the tail nip and the length deviation of the printing plate end on the circumference, and the value is 2-3 mm; d is the diameter of the printing plate; deep is the thickness of the printing plates, and the thickness of each printing plate is the same.
As a preferable technical measure:
for single-side stress analysis of the rotary drum, the mainly applied forces are balance block centrifugal force, printing plate centrifugal force, tail clamp centrifugal force and system single-side centrifugal force;
establishing a rectangular coordinate system by taking the center of a circle of the end surface of the rotary drum as an origin, taking the position of a head clamp as the positive direction of an X axis and taking the clockwise 90-degree direction as the positive direction of a Y direction;
in the XY direction, for the left end of the drum, the balance of forces results:
sin (a1) + sin (a2) + m x sin (C3) + a x sin (C2)/2+ u x b x sin (C1)/2 ═ 0; equation-4.10
cos (a1) + cos (a2) + m cos (C3) + a cos (C2)/2+ u cos (C1)/2 ═ 0; equation-4.11
For the right end of the drum, the following equation is obtained:
sin (A3) + sin (a4) + n x sin (C4) + a x sin (C2)/2+ u x b x sin (C1)/2 ═ 0; equation-4.12
cos (A3) + cos (a4) + n cos (C4) + a cos (C2)/2+ u b cos (C1)/2 ═ 0; equation-4.13
Wherein A1, A2, A3 and A4 are the angular positions of four balance blocks on the rotary drum;
c1 is the angular position of the plate centrifugal force; c2 is the angular position of the tail clamp centrifugal force;
c3 is the angular position of the force component at one end of the system; c4 is the angular position of the component force at the other end of the system;
b is the plate centrifugal force; a is tail clamp centrifugal force;
m is a component force at one end of the system; n is the component force of the other end of the system; u is a centrifugal force proportionality coefficient, and the scheme is detailed and feasible.
As a preferable technical measure:
since the tail clamp is fitted, the centrifugal force of the tail clamp and the position of its center of gravity are unknown, which is a total of 4 unknowns.
Utilizing two reference plates and manually adjusting a balance block to enable the rotary drum to be in dynamic balance;
and recording data of the reference plate and the balance block, substituting the data into the balance, and solving to obtain the system centrifugal force, the system gravity center position, the centrifugal force of the tail clamp and the tail clamp gravity center position.
And then, knowing the system centrifugal force, the system gravity center position, the tail clamp centrifugal force and the tail clamp gravity center position, carrying back the formula according to the new size to-be-printed plate parameter, calculating the balance block assembly position, and finally converting the corresponding balance block adjusting code position.
When the target to-be-printed plate is calculated, the datum plate data can be introduced at the same time, then a plurality of groups of solutions can be solved, and finally the average value of the solutions is obtained, so that the error is reduced.
As a preferred measure of the apparatus for applying the method of the invention,
a computer apparatus, comprising:
one or more processors;
storage means for storing one or more programs;
the one or more programs, when executed by the one or more processors, cause the one or more processors to implement a method of rotating drum dynamic balance calculation as described above.
As a preferred means of applying the computer medium of the method of the present invention,
a computer-readable storage medium, on which a computer program is stored, which when executed by a processor implements a method of calculating a dynamic balance of a rotating drum as described above.
Compared with the prior art, the invention has the following beneficial effects:
according to the invention, through continuous exploration and test, the technical prejudice that the existing technology can only be manually adjusted is broken through, and through a force balance model, a force balance equation set is established, so that the position data of the balance block is rapidly obtained; and then realize the dynamic balance after the rotary drum assembly waits the printing plate fast, the scheme is feasible, labour saving and time saving, can effectively improve the control accuracy of dynamic balance.
The control method of the invention can be suitable for printing plates of various types, quickly realize the dynamic balance of the printing plates with new sizes, and further improve the debugging and printing plate efficiency.
Drawings
FIG. 1 is a force analysis diagram of the system of the present invention;
FIG. 2 is an equivalent height view of the present invention;
FIG. 3 is another equivalent height view of the present invention;
FIG. 4 is a single-sided force analysis diagram of the system of the present invention;
FIG. 5 is a diagram of a force resolved coordinate system of the present invention;
FIG. 6 is a flow chart of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
On the contrary, the invention is intended to cover alternatives, modifications, equivalents and alternatives which may be included within the spirit and scope of the invention as defined by the appended claims. Furthermore, in the following detailed description of the present invention, certain specific details are set forth in order to provide a better understanding of the present invention. It will be apparent to one skilled in the art that the present invention may be practiced without these specific details.
As shown in fig. 1 to 6, a method for calculating the dynamic balance of a rotating drum specifically includes the following steps:
the method comprises the following steps of firstly, determining the centrifugal force when a rotary drum system rotates and the gravity center position of the system;
secondly, acquiring parameters of the plate to be printed, wherein the parameters comprise: the centrifugal force when the printing plate rotates and the assembly position of the printing plate;
thirdly, acquiring the number and mass data of the balance blocks;
fourthly, calculating the assembly position of the balance weight according to the force balance principle
Establishing a coordinate system, decomposing the system centrifugal force, the to-be-printed plate centrifugal force and the balance block centrifugal force according to the angular position of the centrifugal force, listing a force balance equation, solving unknown quantity, and obtaining position data of the balance block;
fifthly, assembling balance blocks on the rotary drum according to the calculated position data of the balance blocks,
and then the dynamic balance of the drum after the printing plate is assembled is rapidly realized.
The traditional dynamic balance detection method is extremely complex and tedious, and most of the methods are repetitive labor. The time taken is the longest during the whole debugging process. The dynamic balance data of the machine printing plate is obtained in advance for each machine when the machine leaves a factory. This severely hampers the debugging process.
According to the invention, through continuous exploration and test, the existing technical prejudice that only manual adjustment can be carried out is broken through, and the position data of the balance block is quickly obtained by establishing a force balance equation; and then realize the dynamic balance after the rotary drum assembly waits the printing plate fast, the scheme is feasible, labour saving and time saving, can effectively improve the control accuracy of dynamic balance.
The control method of the invention can be suitable for printing plates of various types, quickly realize the dynamic balance of the printing plates with new sizes and further improve the printing plate efficiency.
The drum stress decomposition of the invention is a specific embodiment:
the centrifugal force of the rotary drum system comprises a left system component force and a right system component force;
two balance blocks are respectively arranged on the left side and the right side of the rotary drum;
the mass of the balance weight is taken as a reference mass, and the value thereof is 1, and other centrifugal forces are converted.
Although the speed of each part of the invention is different, the proportion of the centrifugal force of each part and system to the centrifugal force of the dynamic balance weight is not changed at any speed.
Under any rotating speed of the dynamic balance block, the centrifugal force is taken as a reference quantity, the value of the centrifugal force can be one, and the conversion of the centrifugal force is carried out on other parts and the system, so that the subsequent calculation is facilitated.
The invention obtains a specific embodiment of the data of the rotary drum system:
the centrifugal force of the rotary drum system and the gravity center position of the system are determined by using the rotation balance data of the reference plate.
The method specifically comprises the following steps: the method comprises the following steps of firstly, obtaining parameters of a reference plate, wherein the parameters comprise: the centrifugal force of the reference plate and the assembly position of the reference plate;
secondly, manually adjusting the positions of the balance blocks to enable the rotary drum to be in dynamic balance;
thirdly, recording the centrifugal force of the balance blocks and the data of the assembly positions of the balance blocks after dynamic balance;
fourthly, establishing a coordinate system according to a force balance principle, and calculating the centrifugal force of the rotary drum system and the gravity center position of the system;
decomposing the centrifugal force of the reference plate, the centrifugal force of the balance block and the system force, listing a force balance equation, and solving unknown quantity;
further obtaining the centrifugal force and the gravity center position of the system;
and fifthly, calculating the assembly position required by the balance weight after assembling the new printing plate according to the centrifugal force and the gravity center position of the system.
By the force balance principle and the algorithm model, the centrifugal force of the system and the gravity center position of the system are calculated, so that the subsequent calculation error can be effectively reduced, and the dynamic balance precision of the rotary drum is further improved.
The invention relates to a specific embodiment of the number of reference plates:
determining the number of the reference plates according to the number of the unknown variables;
for a rotary drum system provided with a tail clamp, the number of the reference plates is 2, and the scheme is feasible.
The invention relates to a specific embodiment of centrifugal force conversion:
calculating the proportionality coefficients of the printing plate and the balance block:
the proportion of the centrifugal force of the printing plate per unit mass relative to the centrifugal force of a single dynamic balance block is certain and is related to the mass and the volume of the printing plate;
the proportionality coefficient of the centrifugal force of one reference plate 1 (first printing plate) relative to the single dynamic balance block is a;
the volume ratio of the reference plate 2 to the reference plate 1 is v, and the proportionality coefficient of the centrifugal force of the printing plate 2 to the centrifugal force of a single dynamic balance block at the same speed is v × a.
The proportionality coefficient of the tail clamp relative to a single dynamic balance block under the same speed is b.
2-3 one embodiment of the invention for calculating equivalent height:
this results in partial cancellation of the plate centrifugal forces, as the plate width may be greater than half the drum circumference.
In performing the equivalent calculation of the plate mass, the equivalent height of the plate is calculated.
When the width of the printing plate is less than half of the circumference, the equivalent height is the original width, namely:
heigth _ dx is Heigth; equation-4.5
When the width of the printing plate is larger than half of the circumference, the equivalent height is the circumference minus the original width, namely:
height _ dx-height; equation-4.6
Calculating a centrifugal force proportional coefficient:
u＝1：
angle of resultant force of printing plate to head clamp:
c1 ═ heigth/D equation-4.8
The included angle between the centrifugal force of the tail clamp and the head clamp is as follows:
c2 ═ 2(heigth + weijianeshu)/D formula-4.9
Weight is the quality of the printing plate; heigth is the width of the plate; the weijiacandhu is a tail nip compensation coefficient which represents the center of mass of the tail nip and the length deviation of the printing plate end on the circumference, and the value is 2-3 mm; d is the plate diameter.
One embodiment of the invention to establish a force balance equation set:
for single-side stress analysis of the rotary drum, the mainly applied forces are balance block centrifugal force, printing plate centrifugal force, tail clamp centrifugal force and system single-side centrifugal force;
establishing a rectangular coordinate system by taking the center of a circle of the end surface of the rotary drum as an origin, taking the position of a head clamp as the positive direction of an X axis and taking the clockwise 90-degree direction as the positive direction of a Y direction;
in the XY direction, for the left end of the drum, the balance of forces results:
sin (a1) + sin (a2) + m x sin (C3) + a x sin (C2)/2+ u x b x sin (C1)/2 ═ 0; equation-4.10
cos (a1) + cos (a2) + m cos (C3) + a cos (C2)/2+ u cos (C1)/2 ═ 0; equation-4.11
For the right end of the drum, the following equation is obtained:
sin (A3) + sin (a4) + n x sin (C4) + a x sin (C2)/2+ u x b x sin (C1)/2 ═ 0; equation-4.12
cos (A3) + cos (a4) + n cos (C4) + a cos (C2)/2+ u b cos (C1)/2 ═ 0; equation-4.13
Wherein A1, A2, A3 and A4 are the angular positions of four balance blocks on the rotary drum;
c1 is the angular position of the plate centrifugal force; c2 is the angular position of the tail clamp centrifugal force;
c3 is the angular position of the force component at one end of the system; c4 is the angular position of the component force at the other end of the system;
b is the plate centrifugal force; a is tail clamp centrifugal force;
m is a component force at one end of the system; n is the component force of the other end of the system; u is a centrifugal force proportionality coefficient, and the scheme is detailed and feasible.
Since the tail clamp is fitted, the centrifugal force of the tail clamp and the position of its center of gravity are unknown, which is a total of 4 unknowns.
Utilizing two reference plates (test plates) and manually adjusting a balance block to enable the rotary drum to be in dynamic balance;
and recording data of the reference plate and the balance block, substituting the data into the balance, and solving to obtain the system centrifugal force, the system gravity center position, the centrifugal force of the tail clamp and the tail clamp gravity center position.
And then, knowing the system centrifugal force, the system gravity center position, the tail clamp centrifugal force and the tail clamp gravity center position, carrying back the formula according to the new size to-be-printed plate parameter, calculating the balance block assembly position, and finally converting the corresponding balance block adjusting code position.
When the target to-be-printed plate is calculated, the datum plate data can be introduced at the same time, then a plurality of groups of solutions can be solved, and finally the average value of the solutions is obtained, so that the error is reduced.
One specific embodiment of the application of the invention:
the left and right system components are invariable force, and the included angle between the left and right system components and the head clamp (the head clamp can be set as the starting point of the circumference, namely 0 point) is fixed. The left and right component forces can be respectively m and n, and the positions are C3 and C4.
After the machine rotates at a high speed, the centrifugal force generated by each balance block is equal and is 1. Is positioned as
The code bit of the left balance weight A is A11, the code bit of the left balance weight B is A22, the code bit of the right balance weight A is A33, and the code bit of the right balance weight B is A44.
The corresponding left a balance weight angles are:
a1 ═ -a11/6000.0 × 2 ═ pi; formula-4.1
The corresponding left B balance weight angles are:
a2 ═ -a22/6000.0 × 2 ═ pi; formula-4.2
The corresponding right A balance weight angles are:
a3 ═ -a33/6000.0 × 2 ═ pi; formula-4.3
The corresponding right B balance weight angles are:
a4 ═ -a44/6000.0 × 2 ═ pi; formula-4.4
6000 represents code bits, and the code bits are 6000 code bits after rotating 360 degrees for one circle; pi is the circumferential ratio.
The corresponding X-direction size is sin (A1), sin (A2), sin (A3), sin (A4);
the sizes of the respective Y directions are cos (A1), cos (A2), cos (A3), cos (A4).
Since sin cos itself has a coordinate system, the direction of the force is the positive direction of sin as the positive direction of the X axis, and the positive direction of cos as the positive direction of Y to establish a rectangular coordinate system.
In the process of constant-speed rotation, the change of the centrifugal force of the dynamic balance block is small and can be ignored
And the centrifugal force is as follows:
F＝m*v*v/r；
where r is the radius of rotation of the center of mass, the difference in the magnitudes of the radii of rotation of the four dynamic balance masses is ignored here and considered to be the same, the radius of the plate (printing plate) is calculated.
The R parameter of the dynamic balance block is not changed, and the R parameters of various printing plates are also not changed.
Mathematical model for building drum single surface
As shown in fig. 4, for the single-sided force analysis of the drum, the main forces are the balance weight centrifugal force, the printing plate centrifugal force, the tail clamp centrifugal force, and the system single-sided centrifugal force.
As shown in fig. 5, a rectangular coordinate system is established with the center of the end face of the drum as the origin, the position of the head holder as the positive direction of the X axis, and the clockwise direction of 90 degrees as the positive direction of the Y direction.
For the X direction, resulting from a balance of forces
sin (a1) + sin (a2) + m x sin (C3) + a x sin (C2)/2+ u x b x sin (C1)/2 ═ 0; equation-4.10
cos (a1) + cos (a2) + m cos (C3) + a cos (C2)/2+ u cos (C1)/2 ═ 0; equation-4.11
Similarly, the formula for the right side is obtained as follows:
sin (A3) + sin (a4) + n x sin (C4) + a x sin (C2)/2+ u x b x sin (C1)/2 ═ 0; equation-4.12
cos (A3) + cos (a4) + n cos (C4) + a cos (C2)/2+ u b cos (C1)/2 ═ 0; equation-4.13
For printing plate 2
sin (a5) + sin (a6) + m x sin (C3) + a x sin (C20)/2+ u1 x b x sin (C10)/2 ═ 0; equation-4.14
cos (a5) + cos (a6) + m cos (C3) + a cos (C20)/2+ u1 b cos (C10)/2 ═ 0; equation-4.15
sin (a7) + sin (A8) + n sin (C4) + a sin (C20)/2+ u1 b sin (C10)/2 ═ 0; equation-4.16
cos (a7) + cos (A8) + n cos (C4) + a cos (C20)/2+ u1 b cos (C10)/2 ═ 0; equation-4.17
(u is the centrifugal force proportionality coefficient of the reference plate 1 to the reference plate 1, and u1 is the centrifugal force proportionality coefficient of the reference plate 2 to the reference plate 1)
Solving inequality
The subtraction of equation 4.14 and equation 4.10 yields
sin (a5) + sin (a6) -sin (a1) -sin (a2) + a × sin (C20)/2-a × sin (C2)/2+ u1 × b sin (C10)/2-u × b sin (C1)/2 ═ 0 formula-4.18
The subtraction of equation 4.15 and equation 4.11 yields
cos (a5) + cos (a6) -cos (a1) -cos (a2) + a × cos (C20)/2-a × cos (C2)/2+ u1 b × cos (C10)/2-u × b × cos (C1)/2 ═ 0 formula-4.19
The subtraction of equation 4.16 and equation 4.12 yields
sin (a7) + sin (A8) -sin (A3) -sin (a4) + a × sin (C20)/2-a × sin (C2)/2+ u1 × b sin (C10)/2-u × b sin (C1)/2 ═ 0 formula-4.20
The subtraction of equation 4.17 and equation 4.13 yields
cos (a7) + cos (A8) -cos (A3) -cos (a4) + a × cos (C20)/2-a × cos (C2)/2+ u1 b × cos (C10)/2-u × b × cos (C1)/2 ═ 0 formula-4.21
For the above four formulas, a and b can be obtained by connecting two of them, and after the above formulas are used to obtain multiple groups of solutions, an average value method is adopted to obtain a and b.
Using the obtained a, b and the banding back formula 4.10-4.17, and using an average value method to obtain m, n, C3 and C4 (wherein m, n > 0).
Finally, after m, n, C3, C4 are determined, the angle of the new size plate is determined using plate 1, and the new size plate parameters, with 8 formulas such as formulas 4.10 to 4.17. And finally converting the corresponding code bits.
For the target plate:
sin (a9) + sin (a10) + m x sin (C3) + a x sin (C30)/2+ u3 x b x sin (C30)/2 ═ 0; equation-4.22
cos (a9) + cos (a10) + m cos (C3) + a cos (C30)/2+ u3 b cos (C30)/2 ═ 0; equation-4.23
sin (a11) + sin (a12) + n sin (C4) + a sin (C30)/2+ u3 b sin (C30)/2 ═ 0; equation-4.24
cos (a11) + cos (a12) + n cos (C4) + a cos (C30)/2+ u3 b cos (C30)/2 ═ 0; equation-4.25
Wherein C2, C20 and C30 are respectively the included angles of the positions of tail clamps of the reference plate 1, the reference plate 2 and the target printing plate
u1 and u3 are proportionality coefficients of the centrifugal force of the reference plate 2 and the target plate relative to the reference plate 1, respectively, during high-speed rotation. There are two concepts, one is the dynamic equilibrium fast centrifugal force, set to unit 1, and the magnitude of the centrifugal force of plate 1, set to b, so that the magnitudes of the centrifugal forces of plate 2, and the target plate are u1 b, u3 b.
The four formulas are used for solving the angle variables of A9-A12, namely 4 balance weights.
As is clear from tables 1 and 2, the position of the balance weight calculated by the control method of the present invention is very accurate, and the object of the present invention can be completely satisfied.
TABLE 1 dynamic balance accurate data
TABLE 2 data from dynamic balance calculations
As a preferred measure of the apparatus for applying the method of the invention,
a computer apparatus, comprising:
one or more processors;
storage means for storing one or more programs;
the one or more programs, when executed by the one or more processors, cause the one or more processors to implement a method of rotating drum dynamic balance calculation as described above.
As a preferred means of applying the computer medium of the method of the present invention,
a computer-readable storage medium, on which a computer program is stored, which when executed by a processor implements a method of calculating a dynamic balance of a rotating drum as described above.
As will be appreciated by one skilled in the art, embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
Finally, it should be noted that: the above embodiments are only for illustrating the technical solutions of the present invention and not for limiting the same, and although the present invention is described in detail with reference to the above embodiments, those of ordinary skill in the art should understand that: modifications and equivalents may be made to the embodiments of the invention without departing from the spirit and scope of the invention, which is to be covered by the claims.
Claims (10)
1. A method for calculating the dynamic balance of a rotary drum is characterized in that,
the method specifically comprises the following steps:
the method comprises the following steps of firstly, determining the centrifugal force when a rotary drum system rotates and the gravity center position of the system;
secondly, acquiring parameters of the plate to be printed, wherein the parameters comprise: the centrifugal force when the printing plate rotates and the assembly position of the printing plate;
thirdly, acquiring the number and mass data of the balance blocks;
fourthly, calculating the assembly position of the balance weight according to the force balance principle
Establishing a coordinate system, decomposing the system centrifugal force, the to-be-printed plate centrifugal force and the balance block centrifugal force according to the angular position of the centrifugal force, listing a force balance equation, solving unknown quantity, and obtaining position data of the balance block;
fourthly, assembling balance blocks on the rotary drum according to the calculated position data of the balance blocks,
and then the dynamic balance of the drum after the printing plate is assembled is rapidly realized.
2. A method for calculating the dynamic balance of a rotating drum according to claim 1,
the centrifugal force of the rotary drum system comprises a left system component force and a right system component force;
two balance blocks are respectively arranged on the left side and the right side of the rotary drum;
the mass of the balance weight is taken as a reference mass, and the value thereof is 1, and other centrifugal forces are converted.
3. A method for calculating the dynamic balance of a rotating drum according to claim 1,
the centrifugal force of the rotary drum system and the gravity center position of the system are determined by using the rotation balance data of the reference plate;
the method specifically comprises the following steps: the method comprises the following steps of firstly, obtaining parameters of a reference plate, wherein the parameters comprise: the centrifugal force of the reference plate and the assembly position of the reference plate;
secondly, manually adjusting each balance block to enable the rotary drum to be in dynamic balance;
thirdly, recording the centrifugal force of the balance blocks and the data of the assembly positions of the balance blocks after dynamic balance;
fourthly, establishing a coordinate system according to a force balance principle, and calculating the centrifugal force of the rotary drum system and the gravity center position of the system;
decomposing the centrifugal force of the reference plate, the centrifugal force of the balance block and the system force, listing a force balance equation, and solving unknown quantity;
further obtaining the centrifugal force and the gravity center position of the system;
and fifthly, calculating the assembly position required by the balance weight after assembling the new printing plate according to the centrifugal force and the gravity center position of the system.
4. A method of calculating the dynamic balance of a rotating drum according to claim 3,
determining the number of the reference plates according to the number of the unknown variables;
for a drum system with tail clamps, the number of reference plates is 2.
5. A method of calculating the dynamic balance of a rotating drum according to claim 4,
calculating the proportionality coefficients of the printing plate and the balance block:
the proportion of the centrifugal force of the printing plate per unit mass relative to the centrifugal force of a single dynamic balance block is certain and is related to the mass and the volume of the printing plate;
the proportionality coefficient of the centrifugal force of one reference plate 1 relative to a single dynamic balance block is a;
the volume ratio of the reference plate 2 to the reference plate 1 is v, and the proportionality coefficient of the centrifugal force of the printing plate 2 to the centrifugal force of a single dynamic balance block at the same speed is v × a;
the proportionality coefficient of the tail clamp relative to a single dynamic balance block under the same speed is b.
6. A method for calculating the dynamic balance of a rotating drum according to claim 1,
the equivalent height of the plate is calculated.
When the width of the printing plate is less than half of the circumference, the equivalent height is the original width,
when the width of the printing plate is larger than the half circumference, the equivalent height is the circumference minus the original width,
angle of resultant force of printing plate to head clamp:
c1 ═ heigth/D equation-4.8
The included angle between the centrifugal force of the tail clamp and the head clamp is as follows:
c2 ═ 2(heigth + weijianeshu)/D formula-4.9
heigth is the width of the plate; the weijiacandhu is a tail clamp compensation coefficient; d is the plate diameter.
7. A method of calculating the dynamic balance of a rotating drum according to claim 6,
establishing a rectangular coordinate system by taking the center of a circle of the end surface of the rotary drum as an origin, taking the position of a head clamp as the positive direction of an X axis and taking the clockwise 90-degree direction as the positive direction of a Y direction;
in the XY direction, for the left end of the drum, the balance of forces results:
sin (a1) + sin (a2) + m x sin (C3) + a x sin (C2)/2+ u x b x sin (C1)/2 ═ 0; equation-4.10
cos (a1) + cos (a2) + m cos (C3) + a cos (C2)/2+ u cos (C1)/2 ═ 0; equation-4.11
For the right end of the drum, the following equation is obtained:
sin (A3) + sin (a4) + n x sin (C4) + a x sin (C2)/2+ u x b x sin (C1)/2 ═ 0; equation-4.12
cos (A3) + cos (a4) + n cos (C4) + a cos (C2)/2+ u b cos (C1)/2 ═ 0; equation-4.13
Wherein A1, A2, A3 and A4 are the angular positions of four balance blocks on the rotary drum;
c1 is the angular position of the plate centrifugal force; c2 is the angular position of the tail clamp centrifugal force;
c3 is the angular position of the force component at one end of the system; c4 is the angular position of the component force at the other end of the system;
b is the plate centrifugal force; a is tail clamp centrifugal force;
m is a component force at one end of the system; n is the component force of the other end of the system; u is the centrifugal force proportionality coefficient.
8. A method of calculating the dynamic balance of a rotating drum as set forth in claim 7,
utilizing two reference plates and manually adjusting a balance block to enable the rotary drum to be in dynamic balance;
recording data of the reference plate and the balance block, substituting the data into the balance, and solving to obtain a system centrifugal force, a system gravity center position, a tail clamp centrifugal force and a tail clamp gravity center position;
and then, according to the parameters of the new size to-be-printed plate, carrying back the formula to obtain the assembly position of the balance block, and finally converting the corresponding balance block adjusting code position.
9. A computer device, comprising:
one or more processors;
storage means for storing one or more programs;
the one or more programs, when executed by the one or more processors, cause the one or more processors to implement a method of rotary drum dynamic balance calculation as recited in any one of claims 1-8.
10. A computer-readable storage medium, on which a computer program is stored, which, when being executed by a processor, implements a method for calculating a dynamic balance of a rotating drum according to any one of claims 1 to 8.
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| CN113579585A (en) * | 2021-08-16 | 2021-11-02 | 武汉华数众联智能测控技术有限公司 | Weight increasing dynamic balance device for novel automatic welding |
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