CN112084457B - Drum dynamic balance calculation method, computer equipment and storage medium thereof - Google Patents
Drum dynamic balance calculation method, computer equipment and storage medium thereof Download PDFInfo
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Abstract
The invention discloses a rotary drum dynamic balance calculation method, computer equipment and a storage medium thereof, and belongs to the technical field of rotary drum dynamic balance control. The existing scheme is manually adjusted, time and labor are wasted, and control accuracy is difficult to meet requirements. According to the method for calculating the dynamic balance of the rotary drum, the assembly position of the balancing block is calculated according to the force balance principle, and the balancing block is assembled on the rotary drum according to the calculated position data of the balancing block, so that the dynamic balance of the rotary drum after the printing plate is assembled is realized rapidly. The invention breaks the existing technical prejudice that the manual adjustment is only carried out through continuous exploration and experiments, and rapidly obtains the position data of the balance weight by establishing a force balance equation set; and then realize the dynamic balance after the rotary drum assembly waits for 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 is applicable to printing plates of various types, and can rapidly realize dynamic balance of printing plates of new sizes, thereby improving debugging and printing plate efficiency.
Description
Technical Field
The invention relates to a rotary drum dynamic balance calculation method, 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 plate is put on, the drum wraps the photosensitive plate, the tail clamp moves, the manufacturing error of the drum causes the phenomenon of asymmetric mass of the drum relative to the center of the shaft, and when the drum rotates at a high speed, centrifugal forces are unbalanced, periodic vibration can be generated, the publishing quality is influenced, the service life of a bearing and the like is shortened, and the method is very unfavorable in the image printing process.
The dynamic balance adjustment mainly comprises the step of adjusting dynamic balance weights at two ends of the drum, so that the phenomenon of unbalanced mass of the whole drum is eliminated. When in debugging, the positions of the left and right balance weights are adjusted, so that the balance is realized, but the existing scheme is manually adjusted, time and labor are wasted, and the control precision is difficult to meet the requirement.
Further, the model of printing plate is various, and every kind of printing plate of changing just needs manual regulation balancing piece position, wastes time and energy, influences debugging and platemaking efficiency.
Disclosure of Invention
Aiming at the defects of the prior art, the invention aims to provide a method for establishing a force balance model, 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 quantity and obtaining position data of the balance block; according to the calculated balance weight position data, a balance weight is assembled on the rotary drum, so that dynamic balance of the rotary drum after the to-be-printed plate is assembled is rapidly realized, debugging efficiency can be effectively improved, and dynamic balance control precision is improved.
In order to achieve the above purpose, the technical scheme of the invention is as follows:
the method for calculating the dynamic balance of the rotary drum specifically comprises the following steps:
firstly, determining the centrifugal force and the gravity center position of the system when the rotary drum system rotates;
second, obtaining parameters of the to-be-printed plate, wherein the parameters comprise: centrifugal force when the printing plate rotates, and assembly position of the printing plate;
thirdly, acquiring the number and quality data of the balance weights;
fourth, according to the force balance principle, calculating the assembly position of the balance weight
Establishing a coordinate system, decomposing the system centrifugal force, the centrifugal force of the to-be-printed plate and the centrifugal force of the balance block according to the angular position of the centrifugal force to obtain a force balance equation set, solving the unknown quantity and obtaining the position data of the balance block;
fifthly, assembling the balance weight on the rotary drum according to the calculated balance weight position data,
and further, dynamic balance of the drum after the assembly of the printing plate to be printed is rapidly realized.
The invention breaks the existing technical prejudice that the manual adjustment is only carried out by continuous exploration and test, establishes a force balance equation set through a force balance model, and rapidly obtains the position data of the balance weight; and then realize the dynamic balance after the rotary drum assembly waits for 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 is applicable to printing plates of various types, and can rapidly realize dynamic balance of printing plates of new sizes, thereby further improving debugging and printing plate efficiency.
As a preferred technical measure:
the centrifugal force of the drum system comprises a left system component and a right system component;
the balance blocks are respectively arranged at the left side and the right side of the rotary drum;
the mass of the balance weight is regarded as a reference mass, and the value thereof is 1, and other centrifugal forces are converted.
The respective components of the present invention have different speeds, but the ratio of the centrifugal force of the respective components and the system to the centrifugal force of the dynamic balance weight does not change at any speed.
The centrifugal force is regarded as a reference quantity at any rotating speed of the dynamic balance block, the value of the centrifugal force can be one, and conversion of the centrifugal force is carried out on other parts and systems, so that subsequent calculation is facilitated.
As a preferred technical measure:
the centrifugal force of the rotary drum system and the center of gravity of the system are determined by using rotation balance data of a reference plate.
The method specifically comprises the following steps: the first step, parameters of a reference edition are obtained, wherein the parameters comprise: centrifugal force of the reference plate and assembly position of the reference plate;
step two, manually adjusting each balance weight to balance the rotary drum;
thirdly, after dynamic balancing, recording centrifugal force of the balancing weights and assembly position data of the balancing weights;
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 force balance equations, and solving unknown quantity;
thereby 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 a new printing plate according to the magnitude of the centrifugal force of the system and the gravity center position.
Through the force balance principle and the algorithm model, the centrifugal force and the gravity center position of the system are calculated, the subsequent calculation error can be effectively reduced, and the dynamic balance precision of the rotary drum is further improved.
As a preferred technical measure:
determining the number of the reference plates according to the number of the unknown variables;
for a rotary drum system with a tail clamp, the number of reference plates is 2, and the scheme is feasible.
As a preferred technical measure:
calculating the proportionality coefficient of the printing plate and the balance block:
the ratio of the centrifugal force of the printing plate per unit mass to the centrifugal force of the single dynamic balance weight is fixed and is related to the mass and the volume of the printing plate;
the centrifugal force of one reference plate 1 is equal to the proportionality coefficient of a relative to a single dynamic balance block;
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 the single dynamic balance weight at the same speed is v x a.
The tail clip has a proportionality coefficient b relative to a single dynamic balance weight at the same speed.
As a preferred technical measure:
since the width of the printing plate may be greater than half the circumference of the drum, this may cause the centrifugal forces of the printing plate to partially cancel each other.
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 smaller than half circumference, the equivalent height is the original width, namely:
Heigth_dx=Heigth; equation-4.5
When the width of the printing plate is larger than half circumference, the equivalent height is the original width of the circumference length, namely:
Heigth_dx=D pi-Heigth; equation-4.6
Calculating a centrifugal force proportionality coefficient:
u＝1；
included angle of plate resultant force and head clamp:
c1 =heigth/D equation-4.8
Included angle between centrifugal force of tail clamp and head clamp:
c2 =2 (heigth+weijiacanshu)/D formula-4.9
u is the centrifugal force proportionality coefficient of the reference plate 1 relative to the reference plate 1, u1 is the centrifugal force proportionality coefficient of the reference plate 2 relative to the reference plate 1, and u3 is the centrifugal force proportionality coefficient of the printing plate to be calculated relative to the reference plate 1.
Weight is the mass of the plate; the height is the width of the plate; weijiacanshu is a tail clip compensation coefficient that represents the mass center of the tail clip and the circumferential length offset of the plate end, which is 2-3 mm; d is the diameter of the printing plate; deep is the thickness of the printing plates, each of which is the same thickness.
As a preferred technical measure:
for the single-sided stress analysis of the rotary drum, the main forces are the centrifugal force of the balance weight, the centrifugal force of the printing plate, the centrifugal force of the tail clamp and the centrifugal force of the single side of the system;
establishing a rectangular coordinate system by taking the center of the end face of the rotary drum as an origin, the position of the head clamp as the positive direction of the X axis and the clockwise 90-degree direction as the positive direction of the Y direction;
in the XY direction, for the left end of the drum, the balance of forces results from:
sin (a1) +sin (a2) +m+sin (c3) +a+sin (C2)/2+u+b+sin (C1)/2=0; equation-4.10
cos (a1) +cos (a2) +m+ cos (c3) +a cos (C2)/2+u b cos (C1)/2=0; formula-4.11
For the right end of the drum, the formula is found as follows:
sin (a3) +sin (a4) +n sin (c4) +a sin (C2)/2+u b sin (C1)/2=0; equation-4.12
cos (a3) +cos (a4) +n cos (c4) +a cos (C2)/2+u b cos (C1)/2=0; formula-4.13
Wherein A1, A2, A3 and A4 are the angular positions of four balancing weights on the rotary drum;
c1 is the angular position of the centrifugal force of the printing plate; c2 is the centrifugal force angle position of the tail clamp;
c3 is the angular position of one end component of the system; c4 is the angular position of the component force at the other end of the system;
b is the centrifugal force of the printing plate; a is the centrifugal force of the tail clamp;
m is a component force of one end of the system; n is the component force of the other end of the system; u is the centrifugal force proportionality coefficient, and the scheme is detailed and feasible.
As a preferred technical measure:
since the tail clip is assembled, the centrifugal force of the tail clip and the position of its center of gravity are unknown, and a total of 4 unknowns are present.
The balance weight is manually adjusted by using two reference plates, so that the rotary drum is dynamically balanced;
and recording data of the reference plate and the balance weight, and carrying the data into the balance weight, and solving to obtain the system centrifugal force, the system gravity center position, the centrifugal force of the tail clamp and the gravity center position of the tail clamp.
Further, the system centrifugal force, the system gravity center position, the centrifugal force of the tail clamp and the tail clamp gravity center position are known, the formula is carried back according to the parameters to be printed of a new size, the assembly position of the balance weight is obtained, and finally the corresponding balance weight adjusting code position is converted.
When the target to-be-printed plate is calculated, reference plate data can be introduced at the same time, a plurality of groups of solutions can be solved, and finally, the average value is taken, 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;
a 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 described above.
As a preferred measure of a computer medium for applying the method of the invention,
a computer readable storage medium having stored thereon a computer program 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:
the invention breaks the existing technical prejudice that the manual adjustment is only carried out by continuous exploration and test, establishes a force balance equation set through a force balance model, and rapidly obtains the position data of the balance weight; and then realize the dynamic balance after the rotary drum assembly waits for 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 is applicable to printing plates of various types, and can rapidly realize dynamic balance of printing plates of new sizes, thereby further improving debugging and printing plate efficiency.
Drawings
FIG. 1 is a diagram of a system force analysis of the present invention;
FIG. 2 is an equivalent elevation view of the present invention;
FIG. 3 is another equivalent elevation view of the present invention;
FIG. 4 is a single-sided force analysis chart of the system of the present invention;
FIG. 5 is a force exploded coordinate system diagram of the present invention;
FIG. 6 is a flow chart of the calculation of the present invention.
Detailed Description
The present invention will be described in further detail with reference to the drawings and examples, in order to make the objects, technical solutions and advantages of the present invention more apparent. It should be understood that the specific embodiments described herein are for purposes of illustration only and are not intended to limit the scope of the invention.
On the contrary, the invention is intended to cover any alternatives, modifications, equivalents, and variations as may be included within the spirit and scope of the invention as defined by the appended claims. Further, 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. The present invention will be fully understood by those skilled in the art without the details described herein.
As shown in fig. 1-6, a method for calculating the dynamic balance of a rotary drum specifically comprises the following steps:
firstly, determining the centrifugal force and the gravity center position of the system when the rotary drum system rotates;
second, obtaining parameters of the to-be-printed plate, wherein the parameters comprise: centrifugal force when the printing plate rotates, and assembly position of the printing plate;
thirdly, acquiring the number and quality data of the balance weights;
fourth, according to the force balance principle, calculating the assembly position of the balance weight
Establishing a coordinate system, decomposing the system centrifugal force, the centrifugal force of the to-be-printed plate and the centrifugal force of the balance block according to the angular position of the centrifugal force, listing force balance equations, solving unknown quantity and obtaining position data of the balance block;
fifthly, assembling the balance weight on the rotary drum according to the calculated balance weight position data,
and further, dynamic balance of the drum after the assembly of the printing plate to be printed is rapidly realized.
The traditional dynamic balance detection method is complex and tedious, and is mostly repetitive labor. The time taken up is the longest in the whole debugging process. Dynamic balance data of a machine printing plate is obtained in advance for each machine delivered from a factory. This severely hampers the progress of debugging.
The invention breaks the existing technical prejudice that the manual adjustment is only carried out by continuous exploration and test, and rapidly obtains the position data of the balance weight by establishing a force balance equation; and then realize the dynamic balance after the rotary drum assembly waits for 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 is applicable to printing plates of various types, and can rapidly realize dynamic balance of printing plates of new sizes, thereby further improving printing plate efficiency.
The invention relates to a concrete embodiment of drum stress decomposition:
the centrifugal force of the drum system comprises a left system component and a right system component;
the balance blocks are respectively arranged at the left side and the right side of the rotary drum;
the mass of the balance weight is regarded as a reference mass, and the value thereof is 1, and other centrifugal forces are converted.
The respective components of the present invention have different speeds, but the ratio of the centrifugal force of the respective components and the system to the centrifugal force of the dynamic balance weight does not change at any speed.
The centrifugal force is regarded as a reference quantity at any rotating speed of the dynamic balance block, the value of the centrifugal force can be one, and conversion of the centrifugal force is carried out on other parts and systems, so that subsequent calculation is facilitated.
The invention relates to a specific embodiment for acquiring data of a rotary drum system:
the centrifugal force of the rotary drum system and the center of gravity of the system are determined by using rotation balance data of a reference plate.
The method specifically comprises the following steps: the first step, parameters of a reference edition are obtained, wherein the parameters comprise: centrifugal force of the reference plate and assembly position of the reference plate;
secondly, manually adjusting the positions of the balance blocks to ensure that the rotary drum is dynamically balanced;
thirdly, after dynamic balancing, recording centrifugal force of the balancing weights and assembly position data of the balancing weights;
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 force balance equations, and solving unknown quantity;
thereby 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 a new printing plate according to the magnitude of the centrifugal force of the system and the gravity center position.
Through the force balance principle and the algorithm model, the centrifugal force and the gravity center position of the system are calculated, the subsequent calculation error can be effectively reduced, and the dynamic balance precision of the rotary drum is further improved.
The reference plate number of the invention is a specific embodiment:
determining the number of the reference plates according to the number of the unknown variables;
for a rotary drum system with a tail clamp, the number of reference plates is 2, and the scheme is feasible.
The centrifugal force conversion of the invention is a specific embodiment:
calculating the proportionality coefficient of the printing plate and the balance block:
the ratio of the centrifugal force of the printing plate per unit mass to the centrifugal force of the single dynamic balance weight is fixed and is related to the mass and the volume of the printing plate;
the ratio coefficient of the centrifugal force of one reference plate 1 (first printing plate) relative to the single dynamic balance weight 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 the single dynamic balance weight at the same speed is v x a.
The tail clip has a proportionality coefficient b relative to a single dynamic balance weight at the same speed.
The present invention calculates equivalent height as in fig. 2-3 as an embodiment:
since the width of the printing plate may be greater than half the circumference of the drum, this may cause the centrifugal forces of the printing plate to partially cancel each other.
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 smaller than half circumference, the equivalent height is the original width, namely:
Heigth_dx=Heigth; equation-4.5
When the width of the printing plate is larger than half circumference, the equivalent height is the original width of the circumference length, namely:
Heigth_dx=D pi-Heigth; equation-4.6
Calculating a centrifugal force proportionality coefficient:
u＝1：
included angle of plate resultant force and head clamp:
c1 =heigth/D equation-4.8
Included angle between centrifugal force of tail clamp and head clamp:
c2 =2 (heigth+weijiacanshu)/D formula-4.9
Weight is the mass of the plate; the height is the width of the plate; weijiacanshu is a tail clip compensation coefficient that represents the mass center of the tail clip and the circumferential length offset of the plate end, which is 2-3 mm; d is the plate diameter.
The present invention establishes one embodiment of a set of force balance equations:
for the single-sided stress analysis of the rotary drum, the main forces are the centrifugal force of the balance weight, the centrifugal force of the printing plate, the centrifugal force of the tail clamp and the centrifugal force of the single side of the system;
establishing a rectangular coordinate system by taking the center of the end face of the rotary drum as an origin, the position of the head clamp as the positive direction of the X axis and the clockwise 90-degree direction as the positive direction of the Y direction;
in the XY direction, for the left end of the drum, the balance of forces results from:
sin (a1) +sin (a2) +m+sin (c3) +a+sin (C2)/2+u+b+sin (C1)/2=0; equation-4.10
cos (a1) +cos (a2) +m+ cos (c3) +a cos (C2)/2+u b cos (C1)/2=0; formula-4.11
For the right end of the drum, the formula is found as follows:
sin (a3) +sin (a4) +n sin (c4) +a sin (C2)/2+u b sin (C1)/2=0; equation-4.12
cos (a3) +cos (a4) +n cos (c4) +a cos (C2)/2+u b cos (C1)/2=0; formula-4.13
Wherein A1, A2, A3 and A4 are the angular positions of four balancing weights on the rotary drum;
c1 is the angular position of the centrifugal force of the printing plate; c2 is the centrifugal force angle position of the tail clamp;
c3 is the angular position of one end component of the system; c4 is the angular position of the component force at the other end of the system;
b is the centrifugal force of the printing plate; a is the centrifugal force of the tail clamp;
m is a component force of one end of the system; n is the component force of the other end of the system; u is the centrifugal force proportionality coefficient, and the scheme is detailed and feasible.
Since the tail clip is assembled, the centrifugal force of the tail clip and the position of its center of gravity are unknown, and a total of 4 unknowns are present.
The rotary drum is dynamically balanced by utilizing two reference plates (test plates) and manually adjusting the balance weight;
and recording data of the reference plate and the balance weight, and carrying the data into the balance weight, and solving to obtain the system centrifugal force, the system gravity center position, the centrifugal force of the tail clamp and the gravity center position of the tail clamp.
Further, the system centrifugal force, the system gravity center position, the centrifugal force of the tail clamp and the tail clamp gravity center position are known, the formula is carried back according to the parameters to be printed of a new size, the assembly position of the balance weight is obtained, and finally the corresponding balance weight adjusting code position is converted.
When the target to-be-printed plate is calculated, reference plate data can be introduced at the same time, a plurality of groups of solutions can be solved, and finally, the average value is taken, so that the error is reduced.
Application of a specific embodiment of the invention:
wherein the component force of the left and right systems is invariable force, and the included angle between the component force 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 set as m, n and the positions are C3 and C4 respectively.
After the machine rotates at a high speed, centrifugal forces generated by the balance weights are equal in size and are 1. The position is
The code bit of the left balance block A is A11, the code bit of the left balance block B is A22, the code bit of the right balance block A is A33, and the code bit of the right balance block B is A44.
The corresponding left A balance block angle is:
a1 -a11/6000.0 x 2 x pi; formula-4.1
The corresponding left B balance block angle is:
a2 -a22/6000.0 x 2 x pi; equation-4.2
The corresponding right A balance block angle is:
a3 -a33/6000.0 x 2 x pi; equation-4.3
The corresponding right B balance block angle is:
a4 -a44/6000.0 x 2 x pi; equation 4.4
6000 code bits, namely 6000 code bits when the code bits rotate for 360 degrees; pi is the circumference ratio.
The corresponding X-direction magnitudes are sin (A1), sin (A2), sin (A3), sin (A4);
the corresponding Y-direction size is cos (A1), cos (A2), cos (A3), cos (A4).
Because sin cos is self-contained with a coordinate system, the direction of force is a rectangular coordinate system established by taking the positive direction of sin as the positive direction of the X axis and taking the positive direction of cos as the positive direction of Y.
In the constant-speed rotation process, the centrifugal force of the dynamic balance weight changes slightly and can be ignored
And centrifugal force is as follows:
F＝m*v*v/r；
the r refers to the radius of rotation of the centroid, the difference of the radius of rotation of the four dynamic weights is ignored here, and the radius of the plate (printing plate) is calculated as the same.
The R parameter of the dynamic balance weight is unchanged, and the R parameters of various printing plates are also unchanged.
Mathematical model for building drum single face
As shown in fig. 4, for the single-sided force analysis of the drum, the forces mainly applied are the counter weight centrifugal force, the 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 surface of the drum as the origin, the position of the head clamp as the positive direction of the X-axis, and the clockwise 90-degree direction as the positive direction of the Y-axis.
For the X direction, the balance of forces is obtained
sin (a1) +sin (a2) +m+sin (c3) +a+sin (C2)/2+u+b+sin (C1)/2=0; equation-4.10
cos (a1) +cos (a2) +m+ cos (c3) +a cos (C2)/2+u b cos (C1)/2=0; formula-4.11
Similarly, the formula for the right can be found as follows:
sin (a3) +sin (a4) +n sin (c4) +a sin (C2)/2+u b sin (C1)/2=0; equation-4.12
cos (a3) +cos (a4) +n cos (c4) +a cos (C2)/2+u b cos (C1)/2=0; formula-4.13
For printing form 2
sin (a5) +sin (a6) +m+sin (c3) +a+sin (c20)/2+u1+b+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 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, u1 is the centrifugal force proportionality coefficient of the reference plate 2 to the reference plate 1)
Solving inequality
Subtracting equation 4.14 from equation 4.10 yields
sin (a5) +sin (a6) -sin (A1) -sin (a2) +a sin (C20)/2-a sin (C2)/2+u 1 b sin (C10)/2-u b sin (C1)/2=0 formula-4.18
Subtracting equation 4.15 from 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 equation-4.19
Subtracting equation 4.16 from equation 4.12 yields
sin (a7) +sin (A8) -sin (A3) -sin (a4) +a sin (C20)/2-a sin (C2)/2+u 1 b sin (C10)/2-u b sin (C1)/2=0 formula-4.20
Subtracting equation 4.17 from 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 equation-4.21
For the four formulas, a and b can be obtained by connecting two by two, multiple groups of solutions are obtained by using the formulas, and then an average value method is adopted to obtain a and b.
Using the obtained a, b, the equation 4.10-4.17 is reversed, and m, n, C3, C4 (where m, n. > 0) is determined by averaging.
Finally, after m, n, C3, C4 are calculated, the angle of the new size printing plate is calculated by using the printing plate 1 and 8 formulas such as new size printing plate parameters, and the back-band formulas 4.10 to 4.17. And finally converting the corresponding code bit.
For the target plate:
sin (a9) +sin (a10) +m+sin (c3) +a+sin (c30)/2+u3+b+sin (c30)/2=0; equation-4.22
cos (a9) +cos (a10) +m+ cos (c3) +a cos (c30)/2+u3 b cos (c30)/2=0; formula-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 included angles of tail clamping positions of the reference plate 1, the reference plate 2 and the target printing plate
u1 and u3 are the proportionality coefficients of the centrifugal force of the target printing plate relative to the reference plate 1 during the high-speed rotation process of the reference plate 2 respectively. There are two concepts, one is dynamic equilibrium fast centrifugal force, set to unit 1, centrifugal force magnitude of plate 1 set to b, so that centrifugal force magnitude of plate 2, and target plate is u1 b, u3 b.
The four formulas are utilized to calculate the angle variables of A9-A12, namely 4 balance weights.
As can be seen clearly from tables 1 and 2, the positions of the weights calculated by the control method of the present invention are very accurate, and can fully satisfy the objects of the present invention.
Table 1 dynamic balance accurate data
Table 2 data obtained by dynamic balance calculation
As a preferred measure of the apparatus for applying the method of the invention,
a computer apparatus, comprising:
one or more processors;
a 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 described above.
As a preferred measure of a computer medium for applying the method of the invention,
a computer readable storage medium having stored thereon a computer program which when executed by a processor implements a method of calculating a dynamic balance of a rotating drum as described above.
It will be appreciated by those skilled in the art that 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 flowchart illustrations and/or block diagrams, and combinations of flows and/or blocks in the flowchart illustrations 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 aspects of the present invention and not for limiting the same, and although the present invention has been described in detail with reference to the above embodiments, it should be understood by those of ordinary skill in the art that: modifications and equivalents may be made to the specific embodiments of the invention without departing from the spirit and scope of the invention, which is intended to be covered by the claims.
Claims (7)
1. A method for calculating the dynamic balance of a rotary drum is characterized in that,
the method specifically comprises the following steps:
firstly, determining the centrifugal force and the gravity center position of the system when the rotary drum system rotates;
second, obtaining parameters of the to-be-printed plate, wherein the parameters comprise: centrifugal force when the printing plate rotates, and assembly position of the printing plate;
thirdly, acquiring the number and quality data of the balance weights;
fourth, according to the force balance principle, calculating the assembly position of the balance weight
Establishing a coordinate system, decomposing the system centrifugal force, the centrifugal force of the to-be-printed plate and the centrifugal force of the balance block according to the angular position of the centrifugal force, listing force balance equations, solving unknown quantity and obtaining position data of the balance block;
fifthly, assembling the balance weight on the rotary drum according to the calculated balance weight position data,
thereby quickly realizing dynamic balance after the drum is assembled with the plate to be printed;
calculating the equivalent height of the printing plate;
when the width of the printing plate is smaller than half circumference, the equivalent height is the original width,
when the width of the printing plate is larger than half circumference, the equivalent height is the original width of the circumference length reduction,
included angle of plate resultant force and head clamp:
c1 =heigth/D formula-4.8
Included angle between centrifugal force of tail clamp and head clamp:
c2 =2 (heigth+weijiacanshu)/D formula-4.9
The height is the width of the plate; weijiacanshu is the tail clip compensation coefficient; d is the diameter of the printing plate;
establishing a rectangular coordinate system by taking the center of the end face of the rotary drum as an origin, the position of the head clamp as the positive direction of the X axis and the clockwise 90-degree direction as the positive direction of the Y direction;
in the XY direction, for the left end of the drum, the balance of forces results from:
sin (a1) +sin (a2) +m+sin (c3) +a+sin (C2)/2+u+b+sin (C1)/2=0; equation-4.10
cos (a1) +cos (a2) +m+ cos (c3) +a cos (C2)/2+u b cos (C1)/2=0; formula-4.11
For the right end of the drum, the formula is found as follows:
sin (a3) +sin (a4) +n sin (c4) +a sin (C2)/2+u b sin (C1)/2=0; equation-4.12
cos (a3) +cos (a4) +n cos (c4) +a cos (C2)/2+u b cos (C1)/2=0; formula-4.13
Wherein A1, A2, A3 and A4 are the angular positions of four balancing weights on the rotary drum;
c1 is the angular position of the centrifugal force of the printing plate; c2 is the centrifugal force angle position of the tail clamp;
c3 is the angular position of one end component of the system; c4 is the angular position of the component force at the other end of the system;
b is the centrifugal force of the printing plate; a is the centrifugal force of the tail clamp;
m is a component force of one end of the system; n is the component force of the other end of the system; u is the centrifugal force proportionality coefficient;
the balance weight is manually adjusted by using two reference plates, so that the rotary drum is dynamically balanced;
recording data of the reference plate and the balance block, carrying out formulas from 4.10 to 4.13, and solving to obtain the centrifugal force of the system, the gravity center position of the system, the centrifugal force of the tail clamp and the gravity center position of the tail clamp;
and then, according to the parameters of the to-be-printed plate with the new size, carrying back the formula to obtain the assembly position of the balance weight, and finally converting the corresponding balance weight adjusting code position.
2. A method for calculating the dynamic balance of a rotating drum according to claim 1, wherein,
the centrifugal force of the drum system comprises a left system component and a right system component;
the balance blocks are respectively arranged at the left side and the right side of the rotary drum;
the mass of the balance weight is regarded 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, wherein,
the centrifugal force of the rotary drum system and the gravity center position of the system are determined by using rotation balance data of a reference plate;
the method specifically comprises the following steps: the first step, parameters of a reference edition are obtained, wherein the parameters comprise: centrifugal force of the reference plate and assembly position of the reference plate;
step two, manually adjusting each balance weight to balance the rotary drum;
thirdly, after dynamic balancing, recording centrifugal force of the balancing weights and assembly position data of the balancing weights;
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 force balance equations, and solving unknown quantity;
thereby 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 a new printing plate according to the magnitude of the centrifugal force of the system and the gravity center position.
4. A method for 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 a tail clamp, the number of reference plates is 2.
5. A method for calculating the dynamic balance of a rotating drum according to claim 4,
calculating the proportionality coefficient of the printing plate and the balance block:
the ratio of the centrifugal force of the printing plate per unit mass to the centrifugal force of the single dynamic balance weight is fixed and is related to the mass and the volume of the printing plate;
the centrifugal force of one reference plate 1 is equal to the proportionality coefficient of a relative to a single dynamic balance block;
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 x a;
the tail clip has a proportionality coefficient b relative to a single dynamic balance weight at the same speed.
6. A computer device, comprising:
one or more processors;
a 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 drum dynamic balance calculation as recited in any one of claims 1-5.
7. A computer-readable storage medium, on which a computer program is stored, characterized in that the program, when being executed by a processor, implements a method for calculating a dynamic balance of a rotating drum according to any one of claims 1-5.
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