CN113792391A - Method, system and medium for calculating installation sequence of circumferential parts of rotary machine - Google Patents

Method, system and medium for calculating installation sequence of circumferential parts of rotary machine Download PDF

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CN113792391A
CN113792391A CN202110923929.1A CN202110923929A CN113792391A CN 113792391 A CN113792391 A CN 113792391A CN 202110923929 A CN202110923929 A CN 202110923929A CN 113792391 A CN113792391 A CN 113792391A
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parts
sequence
positions
mounting
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CN113792391B (en
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曾强
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Zhuhai Shenneng Hongwan Power Co ltd
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Abstract

The embodiment of the invention discloses a method, a system and a medium for calculating the installation sequence of circumferential parts of a rotary machine, wherein the method comprises the following steps: acquiring a quality sequence of the parts; obtaining the number of the parts which are fixedly arranged according to the proportion of the fixed arrangement required; matching 4 parts with the minimum mass with the vacant positions of the installation positions in a cross-symmetrical mode and matching 4 parts with the maximum mass with the vacant positions of the installation positions in a cross-symmetrical mode in the parts which are not matched with the installation positions; calculating a first resultant moment according to the mass of the part matched with the mounting position; randomly arranging parts which are not matched with the installation positions and the vacant positions of the installation positions, and calculating to obtain a second resultant moment according to an arrangement result and the first resultant moment; and determining whether the second resultant torque meets a preset precision requirement, and if so, outputting a final part mounting sequence. The embodiment of the invention can avoid the full arrangement of the computers.

Description

Method, system and medium for calculating installation sequence of circumferential parts of rotary machine
Technical Field
The invention relates to a method for calculating a part installation order, in particular to a method, a system and a medium for calculating a circumferential part installation order of a rotary machine.
Background
The installation of some parts on the circumference of the rotating machine has dynamic balance requirements, such as connecting bolts, blades and the like, the quality of the parts is usually inconsistent after processing, manufacturing or maintenance, the installation on the circumference can generate unbalance amount to the axis, and in order to ensure that the rotating machine does not generate large vibration when rotating, the installation needs to be arranged in a certain sequence to minimize the resultant moment and minimize the internal stress.
To solve the problem of circumferential part installation order on a rotating machine, the existing method is as follows: if the number of parts is small (such as <20), the method is low in efficiency and accuracy, and a mounting sequence meeting the requirements is difficult to find; the second method comprises the following steps: the parts are polished to ensure that the quality of the parts at the symmetrical positions is the same, the method can generate irreversible damage to the parts, and can not polish certain parts with high performance requirements (such as blades bearing high temperature and high pressure), so that the blades are easy to scrap; the third method comprises the following steps: the method is a very huge numerical value aiming at the calculated amount of more parts, for example, the method can not realize the arrangement of the minimum resultant moment by fully arranging 92 blades on a wheel disc, and the minimum arrangement does not necessarily meet the minimum internal stress.
Disclosure of Invention
The present invention is directed to solving at least one of the problems of the prior art. Therefore, the invention provides a method for calculating the mounting sequence of circumferential parts of a rotary machine, which can avoid the full arrangement of computers.
The invention further provides a system for calculating the installation sequence of the circumferential parts of the rotary machine.
The invention also provides a computer readable storage medium for implementing the method for calculating the installation sequence of the circumferential parts of the rotating machine.
A rotating machine circumferential part mounting order calculation method according to an embodiment of a first aspect of the present invention, parts for mounting on a circumference of the rotating machine, mounting positions of the parts being evenly distributed, a number of the parts being N, N being a positive integer and being a multiple of 4, includes the steps of: acquiring the quality of the parts and arranging the parts in an ascending or descending order according to the quality to obtain a quality sequence; obtaining the number of the parts which are fixedly arranged according to the proportion of the fixed arrangement required; if the number of the fixedly arranged parts is not zero, matching 4 parts with the minimum mass with the vacancy of the installation position in a cross-symmetric manner in the parts which are not matched with the installation position, matching 4 parts with the maximum mass with the vacancy of the installation position in a cross-symmetric manner, and repeating the step until the number of the parts matched with the vacancies is equal to the number of the fixedly arranged parts; calculating a first resultant moment according to the mass of the part matched with the mounting position; randomly arranging parts which are not matched with the installation positions and the vacant positions of the installation positions, and calculating to obtain a second resultant moment according to an arrangement result and the first resultant moment; and determining whether the second resultant torque meets a preset precision requirement, and if so, outputting a final part mounting sequence.
The method for calculating the installation sequence of the circumferential parts of the rotary machine, provided by the embodiment of the invention, has the following beneficial effects: the method for calculating the installation sequence of the circumferential parts of the rotary machine, provided by the embodiment of the invention, is used for avoiding the computer from carrying out full arrangement by combining the two modes of fixed arrangement and computer arrangement so as to obtain a proper resultant moment. In the embodiment of the invention, the fixedly arranged data part belongs to data with larger deviation, and the result deviation can be selectively reduced by placing the data part at the symmetrical position, so that the computer can be arranged in a smaller numerical range to obtain a more satisfactory result. The embodiment of the invention prevents a computer from arranging heavy parts at two ends of one diameter of a circumference, so that even if the resultant moment (mass moment) of the parts to a rotating shaft is 0, the wheel disc has tensile stress in a certain diameter direction, and is unfavorable for the wheel disc.
According to some embodiments of the invention, a first sequence of positions A is provided, the first sequence of positions A comprising A0,A1,…,AN-1Wherein A is0Indicating a certain mounting position on the circumference of said rotating machine, AjThe mounting position shown is from A0The represented installation positions are j installation positions in time; wherein j is an integer of 0. ltoreq. j<N; the matching of the part and the vacancy of the mounting position in a cross symmetry mode comprises the following steps: dividing the first position sequence A into 4 sub-position sequences including a first sub-position sequence AaFirst sequence of subsites AbFirst sequence of subsites AcAnd a first sequence of sub-positions Ad(ii) a Wherein the first sequence of subsites AaIs A0,A1,…,AN/4-1Second sequence of subsites AbIs AN/4,AN/4+1,…,AN/2-1Third sequence of subsites AcIs AN/2,AN/2+1,…,A3N/4-1Fourth sequence of subsites AdIs A3N/4,A3N/4+1,…,AN-1(ii) a Matching the part with the mounting position for n times; and when the kth matching is carried out, taking out 4 parts with the maximum or minimum mass from the parts which are not matched with the mounting positions in the mass sequence, and sequentially matching with the part Ak-1,AN/4+k-1,AN/2+k-1,A3N/4+k-1Matching, wherein n is a positive integer and n<N/4, k is a positive integer and k<n。
According to some embodiments of the invention, the formula for calculating the resultant moment is:
Figure BDA0003208477080000031
Figure BDA0003208477080000032
Figure BDA0003208477080000033
wherein M isxRepresenting resultant moment in the x-axis direction, MyRepresenting resultant moment in the y-axis direction, miRepresents the mass of the ith part clockwise or anticlockwise on the circumference, and n represents the number of the parts on the circumference.
According to some embodiments of the invention, the method further comprises: and if the second resultant moment does not meet the preset precision requirement, returning to the step of randomly arranging the parts which are not matched with the installation position and the vacant positions of the installation position, and calculating to obtain the second resultant moment according to an arrangement result and the first resultant moment.
According to some embodiments of the invention, outputting the final part mounting order comprises the steps of: and acquiring the part mounting positions obtained by fixed arrangement and the arrangement results obtained by random arrangement, and outputting the part mounting positions and the arrangement results as a final part mounting sequence.
A rotating machine circumferential parts mounting order calculation system according to an embodiment of a second aspect of the present invention, the parts being for mounting on a circumference of the rotating machine and having mounting positions of the parts evenly distributed, the number of the parts being N, N being a positive integer and being a multiple of 4, includes: the quality sequence module is used for acquiring the quality of the parts and arranging the parts in an ascending order or a descending order according to the quality to obtain a quality sequence; the fixed arrangement proportion module is used for fixing the arrangement proportion according to the requirement to obtain the number of the parts which are fixedly arranged; the fixed arrangement module is used for matching 4 parts with the minimum mass with the vacancy of the installation position in a cross-symmetric mode in the parts which are not matched with the installation position, matching 4 parts with the maximum mass with the vacancy of the installation position in a cross-symmetric mode, and repeating the step until the number of the parts matched with the vacancies is equal to the number of the parts in the fixed arrangement; the first resultant moment module is used for calculating a first resultant moment according to the mass of the part matched with the installation position; the second resultant moment module is used for randomly arranging the parts which are not matched with the installation positions and the vacant positions of the installation positions and calculating to obtain a second resultant moment according to an arrangement result and the first resultant moment; and the result output module is used for determining that the second resultant torque meets the preset precision requirement and outputting the final part installation sequence.
The system for calculating the installation sequence of the circumferential parts of the rotating machine, provided by the embodiment of the invention, has at least the following beneficial effects: the system for calculating the installation sequence of the circumferential parts of the rotary machine, provided by the embodiment of the invention, is used for avoiding the full arrangement of the computer by combining the two modes of fixed arrangement and computer arrangement so as to obtain a proper resultant moment. In the embodiment of the invention, the fixedly arranged data part belongs to data with larger deviation, and the result deviation can be selectively reduced by placing the data part at the symmetrical position, so that the computer can be arranged in a smaller numerical range to obtain a more satisfactory result. The embodiment of the invention prevents a computer from arranging heavy parts at two ends of one diameter of a circumference, so that even if the resultant moment (mass moment) of the parts to a rotating shaft is 0, the wheel disc has tensile stress in a certain diameter direction, and is unfavorable for the wheel disc. According to some embodiments of the present invention, the result output module is further configured to acquire the parts mounting positions obtained by the fixed arrangement and the arrangement result obtained by the random arrangement, and output the acquired arrangement result as a final parts mounting order.
Additional aspects and advantages of the invention will be set forth in part in the description which follows and, in part, will be obvious from the description, or may be learned by practice of the invention.
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The above and/or additional aspects and advantages of the present invention will become apparent and readily appreciated from the following description of the embodiments, taken in conjunction with the accompanying drawings of which:
FIG. 1 is a schematic flow chart of a method according to an embodiment of the present invention.
FIG. 2 is a block diagram of the modules of the system of an embodiment of the present invention.
Fig. 3 is a schematic diagram of a manual sequencing of 16 bolts according to an embodiment of the present invention.
Fig. 4 is a schematic diagram of mass distribution of a manual sequencing of 16 bolts according to an embodiment of the present invention.
Fig. 5 is a schematic diagram of mass distribution of a computer sequencing of 16 bolts according to an embodiment of the present invention.
Detailed Description
Reference will now be made in detail to embodiments of the present invention, examples of which are illustrated in the accompanying drawings, wherein like or similar reference numerals refer to the same or similar elements or elements having the same or similar function throughout. The embodiments described below with reference to the accompanying drawings are illustrative only for the purpose of explaining the present invention, and are not to be construed as limiting the present invention.
In the description of the present invention, the meaning of a plurality of means is one or more, the meaning of a plurality of means is two or more, and more than, less than, more than, etc. are understood as excluding the present number, and more than, less than, etc. are understood as including the present number. If the first and second are described for the purpose of distinguishing technical features, they are not to be understood as indicating or implying relative importance or implicitly indicating the number of technical features indicated or implicitly indicating the precedence of the technical features indicated.
The embodiment of the invention is applied to the rotating machinery, and the number N of uniformly distributed parts on the circumference is a multiple of 4 because the high-speed rotating machinery needs to meet the requirements of axial symmetry and central symmetry.
Referring to fig. 1, the method of the embodiment of the present invention mainly includes the following steps:
(1) the parts on the circumference of the rotary machine are weighed before being installed, wherein the parts have a weighing moment and a weighing mass, and the weighing mass is weighed in the embodiment; after weighing, acquiring the mass of each part, and arranging the parts in an ascending or descending order according to the mass (the ascending and descending order does not influence the result), so as to obtain a mass sequence; the purpose of this step is to select the data with far data deviation from the average value to carry out manual fixed arrangement, and the data are symmetrically arranged according to the cross, so that the heavier or lighter arrangement can be arranged at the symmetrical position, and most of the moment can be offset.
(2) The proportion r (0 < r < 1) of the fixed arrangement is needed to be set, and the number of the parts in the fixed arrangement is 8r according to the proportion of the fixed arrangementa;raIs N r/8. The larger the ratio r, the fewer parts of the arrangement that are required for computer alignment. The step has the advantages that the mass/moment deviation is large and is offset by being fixed on the corresponding position, and the influence of the final sequencing result on the internal stress of the wheel disc is reduced. Because the parts are arranged in a cross-shaped symmetrical manner, the number of the fixedly arranged parts is determined in the embodiment by respectively taking multiples of 4 at the front end and the rear end of the array, and the total number of the parts is required to be taken as 8 to be arranged and recorded as 8ra
In this embodiment, a user can set the size of the part array to be arranged by the computer according to experience, and if the number of the part array is not large (e.g., <20), r may be set to 0, and the computer performs the full arrangement of the whole array.
(3) If the number of the fixedly arranged parts is not zero, then in the parts which are not matched with the installation position, 4 parts with the minimum mass are matched with the vacant positions of the installation position in a cross-symmetrical mode, and 4 parts with the maximum mass are matched with the vacant positions of the installation position in a cross-symmetrical mode,this procedure is repeated until the number of parts matching the empty space equals the number of parts in the fixed arrangement 8ra
In this embodiment, a first position sequence a is first set, and the first position sequence a includes a0,A1,…,AN-1Wherein A is0Indicating a certain mounting position on the circumference of the rotating machine, AjThe mounting position shown is from A0J installation positions are shown in the installation positions in time; wherein j is an integer of 0. ltoreq. j<N。
In one embodiment, matching the part to the mounting position void in a cross-symmetric manner comprises the steps of:
dividing the first position sequence A into 4 sub-position sequences including a first sub-position sequence AaFirst sequence of subsites AbFirst sequence of subsites AcAnd a first sequence of sub-positions Ad(ii) a Wherein the content of the first and second substances,
first sequence of subsites AaIs A0,A1,…,AN/4-1
Second sequence of subsites AbIs AN/4,AN/4+1,…,AN/2-1
Third sequence of subsites AcIs AN/2,AN/2+1,…,A3N/4-1
Fourth sequence of subsites AdIs A3N/4,A3N/4+1,…,AN-1
Matching the part with the mounting position for n times;
and when the kth matching is carried out, taking out 4 parts with the maximum or minimum mass from the parts which are not matched with the mounting positions in the mass sequence, and sequentially matching with the part Ak-1,AN/4+k-1,AN/2+k-1,A3N/4+k-1Matching, wherein n is a positive integer and n<N/4, k is a positive integer and k<n。
In another embodiment, matching the part to the mounting position void in a cross-symmetrical manner comprises the steps of:
s100, minimizing the mass by 4raThe parts are arranged in a cross-shaped symmetrical mode and at the installation positionsMatching the vacancies;
s200, minimizing the mass by 4raMatching the parts with the vacant positions of the mounting positions in a cross-shaped symmetrical mode;
wherein, step S100 includes:
s101, setting parameters m and p;
s102, setting a p value to be 0;
s103, setting the value m to be 0;
s104, taking out the part with the minimum mass, wherein the part is not matched with the installation position;
s105, the part is connected with A in the first position sequence AmN/4+2pMatching;
s106, judging whether m is smaller than 3, if so, adding 1 to m, and returning to the step S104; if not, executing step S107;
s107, judging whether p is smaller than ra-1, if yes, adding 1 to the value of p, returning to step S103; if not, ending the process;
wherein, step S200 includes:
s201, setting parameters m and p;
s202, setting a p value to be 1;
s203, setting the value m to be 0;
s204, taking out the part with the minimum mass, wherein the part is not matched with the installation position;
s205, the part is connected with A in the first position sequence AmN/4+2pMatching;
s206, judging whether m is smaller than 3, if so, adding 1 to m, and returning to the step S204; if not, go to step S207;
s207, judging whether p is smaller than raIf yes, adding 1 to the value of p, and returning to the step S203; if not, the process is ended.
Thus, the mass is 4r which is the minimumaEach part is sequentially filled into the following positions on the circumference:
Figure BDA0003208477080000071
Figure BDA0003208477080000072
(i is 0,1,2, … …, ra-1)
Maximum mass 4raEach part is sequentially filled into the following positions on the circumference:
Figure BDA0003208477080000073
Figure BDA0003208477080000074
(i takes 1,2,3, … …, ra)
After the step (3), the parts with large mass deviation are fixedly arranged on the circumference. Because of the respective symmetrical arrangement, the arranged sequences generate smaller resultant moment M1. In this embodiment, the data portions that are fixedly arranged belong to data with large deviations, and placing them at symmetrical positions can selectively reduce the resulting deviations, so that the computer can be arranged in a small numerical range to obtain a more satisfactory result. The arrangement mode of the embodiment prevents the computer from arranging heavy parts at two ends of one diameter of the circumference, so that even if the resultant moment (mass moment) of the parts on the rotating shaft is 0, the wheel disc has tensile stress in a certain diameter direction, and is unfavorable for the wheel disc.
(4) The first resultant moment M1 is calculated from the mass of the part that has been matched to the mounting position.
The formula for calculating the resultant moment of the invention is as follows:
Figure BDA0003208477080000081
Figure BDA0003208477080000082
Figure BDA0003208477080000083
wherein M isxRepresenting resultant moment in the x-axis direction, MyRepresenting resultant moment in the y-axis direction, miRepresents the mass of the ith part clockwise or anticlockwise on the circumference, and n represents the number of the parts on the circumference.
(5) Randomly arranging the parts which are not matched with the mounting positions and the vacant positions of the mounting positions, and calculating to obtain a second resultant moment Mc according to the arrangement result and the first resultant moment M1; in this embodiment, the computer aligns the remaining data around the mean to produce a resultant moment M2 to match M1.
(6) And determining whether the second resultant moment Mc meets a preset precision requirement M (the precision M is set according to the requirement of a user, because of the influence of weighing precision, the precision of M is too small and has no practical significance, and the higher the precision is, the longer the calculation time is, the M meeting the precision requirement can be found), and if so, outputting the final part installation sequence. In this embodiment, the component mounting positions obtained by the fixed arrangement and the arrangement results obtained by the random arrangement are obtained and output as the final component mounting order. And if the second resultant moment Mc does not meet the preset precision requirement M, returning to randomly arrange the parts which are not matched with the mounting position and the vacant positions of the mounting position, and calculating to obtain a new second resultant moment Mc according to the arrangement result and the first resultant moment until the conditions are met.
Corresponding to the foregoing embodiments, the present invention also provides system embodiments. For the system embodiment, since it basically corresponds to the method embodiment, reference may be made to the partial description of the method embodiment for relevant points.
Referring to fig. 2, a rotating machine circumferential part mounting order calculation system according to an embodiment of the present invention includes: the quality sequence module is used for acquiring the quality of the parts and arranging the parts in an ascending order or a descending order according to the quality to obtain a quality sequence; the fixed arrangement proportion module is used for fixing the arrangement proportion according to the requirement to obtain the number of the parts which are fixedly arranged; the fixed arrangement module is used for matching 4 parts with the minimum mass with the vacancy of the installation position in a cross-symmetric mode in the parts which are not matched with the installation position, matching 4 parts with the maximum mass with the vacancy of the installation position in a cross-symmetric mode, and repeating the step until the number of the parts matched with the vacancies is equal to the number of the parts in fixed arrangement; the first resultant moment module is used for calculating a first resultant moment according to the mass of the part matched with the installation position; the second resultant moment module is used for randomly arranging the parts which are not matched with the installation positions and the vacant positions of the installation positions and calculating to obtain a second resultant moment according to the arrangement result and the first resultant moment; and the result output module is used for determining that the second resultant torque meets the preset precision requirement and outputting the final part installation sequence. The result output module is also used for acquiring the part mounting positions obtained by fixed arrangement and the arrangement results obtained by random arrangement, and outputting the arrangement results as a final part mounting sequence.
The following takes a 16-set bolt of a certain gas turbine generator set as an example to compare the prior method and the advantages thereof.
A load coupling is installed between a gas turbine and a generator of a certain gas turbine generator set, the coupling is connected by 16 sets of bolts, the bolts are large in mass and are rotating parts, manufacturers have strict requirements on mass dispersion degree, the bolts are matched and sequenced when leaving a factory, in the subsequent overhaul process, the situation that the bolts or nuts of the coupling are damaged singly and need to be replaced is often met, and in order to ensure that the unit does not generate extra vibration during operation, the mass distribution problem of the bolts needs to be considered when the unit is reassembled.
And a turning method is adopted to ensure that the quality of the bolts at the symmetrical positions is the same. Because the mass of the coupling bolt is strictly controlled during manufacturing, the mass difference of each bolt and nut is small, 16 bolts and 32 nuts can be weighed respectively at the moment, then the coupling bolt is matched according to the mass distribution condition of the coupling bolt, the mass difference of the coupling bolt is as small as possible, then each two sets with close mass are divided into one set, a part of the set with large mass is turned off to enable the mass of the set to be equal to that of the other set, and the set is arranged at a symmetrical position during back and forth assembly. The limitation of using this method is that if the quality of the replaced bolt differs significantly from the original bolt quality, more material is turned (or ground) and is irreversibly damaged.
And sequencing the bolts by adopting a first method in the prior art. The bolts are arranged on the circumference according to the mass of the bolts in a certain sequence, 16 sets of bolts are treated as a whole, when the rotor rotates, the vibration generated when the rotor rotates can be reduced to a greater extent only if the residual unbalance amount of the torque generated by the 16 sets of bolts on the rotating axis is as small as possible, so that the safety of equipment is ensured, in order to meet the requirement, the integral mass center of the 16 sets of bolts is coincided with the central axis of the rotor as much as possible, then the static mass moments are summed, and the summation formula is defined as follows:
Figure BDA0003208477080000101
Figure BDA0003208477080000102
the resultant moment as the static mass moment of the 16 sets of bolts is the residual unbalance amount when the 16 sets of bolts are arranged in a certain sequence, the position of each bolt hole of the coupler is considered to be accurately processed, the distance from the center of the rotor is equal, and for simple calculation, R is 1, the calculation formula of the residual unbalance amount M is as follows:
Figure BDA0003208477080000103
Figure BDA0003208477080000104
Figure BDA0003208477080000105
angle of rotation
Figure BDA0003208477080000106
After one-time maintenance, three screws and 2 nuts are replaced due to the fact that part of the coupler bolts are damaged, the replaced nuts and screws have larger mass difference with damaged parts, and the method of turning is not suitable, so that each set of bolt combination is weighed before reinstalling, and the mass distribution is shown in table 1.
TABLE 1 unsorted bolts and masses
Serial number Mass/g Serial number Mass/g
1 10 577 9 10 561
2 10 552 10 10 578
3 10 566 11 10 559
4 10 575 12 10 539
5 10 552 13 10 550
6 10 542 14 10 575
7 10 543 15 10 552
8 10 548 16 10 545
If a manual sorting method is used, the 16 sets of bolts are firstly arranged from small to large in mass and marked with serial numbers 1-16, every adjacent 4 sets of bolts in the mass sequence form a cross, and a total of 4 crosses can be arranged according to the figure 3, so that the dispersion degree of the cross is selectively reduced.
The mass distribution after the sequence of fig. 3 is shown in fig. 4, and it can be seen that the idea of manual sequencing is to place bolts with close mass as possible in symmetrical positions to counteract the torque generated by rotation.
The calculated residual mass is 7.46g, the R value of the actual unit is about 300mm, so the actual residual unbalance is 7.46 x 300-2238 g x mm, which is far more than the requirement of the manufacturer on the residual unbalance of the wheel disc of the unit of the model (1270g x mm), therefore, the sequence of some bolts needs to be continuously adjusted and recalculated, and the method consumes a great deal of energy and cannot necessarily obtain the value meeting the requirement, so the calculation is considered by using a computer.
The most straightforward way to calculate using a program is to make a full permutation of the 16 mass data, then calculate the residual unbalance of the mass moments for each permutation, and select the set of permutations for which the residual unbalance is the lowest. Due to the fact that
Figure BDA0003208477080000111
≈2.1×1013Is a very large number, and it is necessary to verify whether the computing power of the current computer meets the requirements, and table 2 shows the time required for the full arrangement and arrangement of the different numbers of bolts and the calculation of the remaining unbalance.
TABLE 2 different number of bolts count elapsed time
Number of bolts Only permutation/ms Full permutation and calculation/ms
9 1 7
10 29 247
11 267 2 697
12 2 904 31 746
13 34 476 392 874
14 245 386 2 840 633
15 1 161 229 14 127 041
16 16 913 349 ……
It is seen that even a full array of 16 numbers is very laborious for the current computer, and the amount of calculation increases in factorial order every time a full array of one number is added later. If the residual unbalance amount of each permutation is calculated, a huge amount of calculation is increased, the time for calculating the minimum value of the residual unbalance amounts in all the permutations is very huge, and the cost for calculating the minimum value has to be considered.
Since the precision of the electronic scale used for weighing the bolt is 1g, the value exceeding the calculation precision is not significant when calculating the residual unbalance, and the useful arrangement only needs to reach certain precision. Therefore, the method for setting the accuracy Mc and judging whether the accuracy Mc is met while calculating the unbalance is adopted. Increasing the condition of judging accuracy Mc after calculating the unbalance amount of each group of arrays as long as the residual unbalance amount of a certain group of arrays is less than the Mc calculation end
After the program is designed, the calculation is started, and the time consumption is longer when the set precision is higher, and the calculation time consumption is shown in the table 3 when the precision is 0.001-10 g.
TABLE 3 time-consuming effects at different precisions
Figure BDA0003208477080000121
From the foregoing discussion, the arrangement when the precision Mc <1g has been satisfied and the calculation time to obtain this precision is only 3ms, the sorting results when the precision is less than 1g are worth the same due to the error in weighing, and when the remaining mass is 0.009g, the sorting is as shown in table 4.
TABLE 4 bolt sequencing and Mass
Figure BDA0003208477080000122
Figure BDA0003208477080000131
Fig. 5 shows the mass distribution when ordered as described above. The residual unbalance amount of the better static mass moment is 2.7g multiplied by mm.
It is conceivable that the number of permutations calculated by the above method is not equal to 16, but the calculation efficiency is greatly reduced if the number is too large. If the number of the calculated rows is large, in practical engineering application, the number of the bolt arrangement on the circumference is generally a multiple of 2 (usually a multiple of 4) due to the requirement of symmetry, and the calculation method can be divided into two steps to be calculated respectively, taking 32 bolts on a certain rotating component as an example to illustrate the calculation method, firstly, any 16 bolts are distributed on the positions with the serial numbers of 1,2, 5, 7 and … … 31 on the circumference in the manner of the manual sequencing described above. Then a lower residual unbalance value M1 is obtained, then a computer is used to arrange the rest 16 bolts completely and another residual unbalance value M2 is obtained, when the installation is carried out, M2 should be offset with M1, so that the M2 is not required to be minimum when the calculation is carried out, but M2 is close to M1 as much as possible.
After M2 satisfying the conditions is obtained, the array with the result that M2 is installed at the positions with the numbers of 2, 4, 6 and 8 … … 32 on the circumference according to the angle relation between M1 and M2, so that an optimal array of 32 numbers is obtained by only 16 total arrays, and the M2 value satisfying the requirements usually exists because the mass dispersion of bolts is small and the sample amount of the total arrays is very large.
It can be seen from the above embodiments that selecting combinations satisfying requirements in a full-array manner is a method with a large calculation amount, and is suitable for situations with a small number, and the computer is used to calculate the remaining unbalance amount while arranging, and when the calculation result of a certain arrangement is smaller than a set value, the program outputs the arrangement order and the remaining unbalance amount. Such algorithms typically do not find the lowest value because
Figure BDA0003208477080000132
The quantity is very large, the mass dispersion degree of each bolt is small, and a plurality of values meeting the precision can be easily obtained in a short time to meet the application requirement.
Although specific embodiments have been described herein, those of ordinary skill in the art will recognize that many other modifications or alternative embodiments are equally within the scope of this disclosure. For example, any of the functions and/or processing capabilities described in connection with a particular device or component may be performed by any other device or component. In addition, while various illustrative implementations and architectures have been described in accordance with embodiments of the present disclosure, those of ordinary skill in the art will recognize that many other modifications of the illustrative implementations and architectures described herein are also within the scope of the present disclosure.
It should be recognized that the method steps in embodiments of the present invention may be embodied or carried out by computer hardware, a combination of hardware and software, or by computer instructions stored in a non-transitory computer readable memory. The method may use standard programming techniques. Each program may be implemented in a high level procedural or object oriented programming language to communicate with a computer system. However, the program(s) can be implemented in assembly or machine language, if desired. In any case, the language may be a compiled or interpreted language. Furthermore, the program can be run on a programmed application specific integrated circuit for this purpose.
Further, the operations of processes described herein can be performed in any suitable order unless otherwise indicated herein or otherwise clearly contradicted by context. The processes described herein (or variations and/or combinations thereof) may be performed under the control of one or more computer systems configured with executable instructions, and may be implemented by hardware or combinations thereof as code (e.g., executable instructions, one or more computer programs, or one or more applications) that is executed collectively on one or more microprocessors. The computer program includes a plurality of instructions executable by one or more microprocessors.
Further, the method may be implemented in any type of computing platform operatively connected to a suitable interface, including but not limited to a personal computer, mini computer, mainframe, workstation, networked or distributed computing environment, separate or integrated computer platform, or in communication with a charged particle tool or other imaging device, and the like. Aspects of the invention may be embodied in machine-readable code stored on a non-transitory storage medium or device, whether removable or integrated into a computing platform, such as a hard disk, optically read and/or write storage medium, RAM, ROM, or the like, such that it may be read by a programmable computer, which when read by the storage medium or device, is operative to configure and operate the computer to perform the procedures described herein. Further, the machine-readable code, or portions thereof, may be transmitted over a wired or wireless network. The invention described herein includes these and other different types of non-transitory computer-readable storage media when such media include instructions or programs that implement the steps described above in conjunction with a microprocessor or other data processor. The invention also includes the computer itself when programmed according to the methods and techniques described herein.
A computer program can be applied to input data to perform the functions described herein to transform the input data to generate output data that is stored to non-volatile memory. The output information may also be applied to one or more output devices, such as a display. In a preferred embodiment of the invention, the transformed data represents physical and tangible objects, including particular visual depictions of physical and tangible objects produced on a display. The embodiments of the present invention have been described in detail with reference to the accompanying drawings, but the present invention is not limited to the above embodiments, and various changes can be made within the knowledge of those skilled in the art without departing from the gist of the present invention.

Claims (8)

1. A method for calculating a mounting order of circumferential parts of a rotary machine, the parts being intended to be mounted on a circumference of the rotary machine and having mounting positions of the parts evenly distributed, the number of the parts being N, N being a positive integer and being a multiple of 4, comprising the steps of:
acquiring the quality of the parts and arranging the parts in an ascending or descending order according to the quality to obtain a quality sequence;
obtaining the number of the parts which are fixedly arranged according to the proportion of the fixed arrangement required;
if the number of the fixedly arranged parts is not zero, matching 4 parts with the minimum mass with the vacancy of the installation position in a cross-symmetric manner in the parts which are not matched with the installation position, matching 4 parts with the maximum mass with the vacancy of the installation position in a cross-symmetric manner, and repeating the step until the number of the parts matched with the vacancies is equal to the number of the fixedly arranged parts;
calculating a first resultant moment according to the mass of the part matched with the mounting position;
randomly arranging parts which are not matched with the installation positions and the vacant positions of the installation positions, and calculating to obtain a second resultant moment according to an arrangement result and the first resultant moment;
and determining whether the second resultant torque meets a preset precision requirement, and if so, outputting a final part mounting sequence.
2. Method for calculating a circumferential part installation order of a rotating machine according to claim 1, characterised in that a first sequence of positions a is provided, comprising a0,A1,…,AN-1Wherein A is0Indicating a certain mounting position on the circumference of said rotating machine, AjThe mounting position shown is from A0The represented installation positions are j installation positions in time; wherein j is an integer of 0. ltoreq. j<N;
The matching of the part and the vacancy of the mounting position in a cross symmetry mode comprises the following steps:
dividing the first position sequence A into 4 sub-position sequences including a first sub-position sequence AaFirst sequence of subsites AbFirst sequence of subsites AcAnd a first sequence of sub-positions Ad(ii) a Wherein the content of the first and second substances,
first sequence of subsites AaIs A0,A1,…,AN/4-1
Second sequence of subsites AbIs AN/4,AN/4+1,…,AN/2-1
Third sequence of subsites AcIs AN/2,AN/2+1,…,A3N/4-1
Fourth sequence of subsites AdIs A3N/4,A3N/4+1,…,AN-1
Matching the part with the mounting position for n times;
and when the kth matching is carried out, taking out 4 parts with the maximum or minimum mass from the parts which are not matched with the mounting positions in the mass sequence, and sequentially matching with the part Ak-1,AN/4+k-1,AN/2+k-1,A3N/4+k-1Matching, wherein n is a positive integer and n<N/4, k is a positive integer and k<n。
3. The method for calculating the installation order of circumferential parts of a rotating machine according to claim 1, wherein the formula for calculating the resultant moment is:
Figure FDA0003208477070000021
Figure FDA0003208477070000022
Figure FDA0003208477070000023
wherein M isxRepresenting resultant moment in the x-axis direction, MyRepresenting resultant moment in the y-axis direction, miRepresents the mass of the ith part clockwise or anticlockwise on the circumference, and n represents the number of the parts on the circumference.
4. The method of calculating a mounting order of circumferential parts of a rotating machine according to claim 1, further comprising:
and if the second resultant moment does not meet the preset precision requirement, returning to the step of randomly arranging the parts which are not matched with the installation position and the vacant positions of the installation position, and calculating to obtain the second resultant moment according to an arrangement result and the first resultant moment.
5. A rotary machine circumferential parts mounting order calculation method as claimed in claim 1, wherein outputting a final parts mounting order comprises the steps of:
and acquiring the part mounting positions obtained by fixed arrangement and the arrangement results obtained by random arrangement, and outputting the part mounting positions and the arrangement results as a final part mounting sequence.
6. A rotating machine circumferential parts mounting order calculation system, the parts being for mounting on a circumference of the rotating machine and mounting positions of the parts being evenly distributed, a number of the parts being N, N being a positive integer and being a multiple of 4, comprising:
the quality sequence module is used for acquiring the quality of the parts and arranging the parts in an ascending order or a descending order according to the quality to obtain a quality sequence;
the fixed arrangement proportion module is used for fixing the arrangement proportion according to the requirement to obtain the number of the parts which are fixedly arranged;
the fixed arrangement module is used for matching 4 parts with the minimum mass with the vacancy of the installation position in a cross-symmetric mode in the parts which are not matched with the installation position, matching 4 parts with the maximum mass with the vacancy of the installation position in a cross-symmetric mode, and repeating the step until the number of the parts matched with the vacancies is equal to the number of the parts in the fixed arrangement;
the first resultant moment module is used for calculating a first resultant moment according to the mass of the part matched with the installation position;
the second resultant moment module is used for randomly arranging the parts which are not matched with the installation positions and the vacant positions of the installation positions and calculating to obtain a second resultant moment according to an arrangement result and the first resultant moment;
and the result output module is used for determining that the second resultant torque meets the preset precision requirement and outputting the final part installation sequence.
7. The rotary machine circumferential parts mounting order calculation system according to claim 6, wherein the result output module is further configured to acquire the fixedly arranged parts mounting positions and the randomly arranged arrangement result as a final parts mounting order output.
8. A computer-readable storage medium, on which a computer program is stored which, when being executed by a processor, carries out the method of any one of claims 1 to 5.
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