An equivalent test method of a piston vibrating machine and a rocker-arm vibrating machine applied in half breakdown time test, comprising:
- (S1) selecting first samples, second samples and third samples of a size specification Si;
- wherein grades of the first samples are higher than those of the second samples, and grades of the second samples are higher than those of the third samples;
- i represents superabrasive size designation;
- and at least four batches of the same samples are prepared for each grade;
- (S2) separately setting a vibration frequency fr of the rocker-arm vibrating machine and a vibration frequency fp of the piston vibrating machine;
- (S3) separately estimating impact times trH1, trM1, and trL1 of the rocker-arm vibrating machine for the first samples, the second samples and the third samples, with which times unbroken ratios of the three grade samples after being impacted can reach 45%-50%;
- and separately estimating impact times tpH1, tpM1, and tpL1 of the piston vibrating machine for the first samples, the second samples and the third samples, with which unbroken ratios of the samples after being tested can reach 45%-50%;
- (S4) setting up an impact time TrH1 of the rocker-arm vibrating machine for the first samples according to the estimated impact time trH1;
- loading one of the first samples into a capsule of the rocker-arm vibrating machine;
- installing the capsule in the rocker-arm vibrating machine;
- and starting the rocker-arm vibrating machine for impact test;
- and
- setting up an impact time TpH1 of the piston vibrating machine for the first samples according to the estimated impact time tpH1;
- loading another of the first samples into a capsule of the piston vibrating machine;
- installing the capsule in the piston vibrating machine;
- and starting the piston vibrating machine for the impact test;
- (S5) sieving and weighing an impacted first sample from the rocker-arm vibrating machine with the impact time TrH1 to obtain an unbroken ratio PrH1;
- and sieving and weighing an impacted first sample from the piston vibrating machine with the impact time TpH1 to obtain an unbroken ratio PpH1, wherein PrH1 and PpH1 are 45%-50%;
- (S6) if the unbroken ratio PrH1 Or PpH1 is less than 45%, appropriately shortening the impact time of the rocker-arm vibrating machine or the piston vibrating machine, repeating steps (S4)-(S5) until the unbroken ratios PrH1 and PpH1 are within 45%-50%, and at this time, recording the impact time TrH1 of the rocker-arm vibrating machine and its corresponding unbroken ratio PrH1, and the impact time TpH1 of the piston vibrating machine and its corresponding unbroken ratio PpH1;
- (S7) according to steps (S4)-(S6), respectively impacting the second sample and the third sample with the rocker-arm vibrating machine or the piston vibrating machine with their corresponding estimated impact time trM1 and trL1 or tpM1 and tpL1 and then sieving and weighing the impacted samples to obtain the unbroken ratio PrM1 and PrL1 of the rocker-arm vibrating machine and the unbroken ratio PrM1 and PrL1 of the piston vibrating machine, and recording their respective impact times TrM1 and TrL1 and TpM1 and TpL1, wherein PrM1, PrL1, PpM1 and PpL1 are within 45%-50%;
- (S8) according to steps (S1)-(S7), performing impact tests of the first samples, the second samples and the third samples separately with the rocker-arm vibrating machine and the piston vibrating machine, wherein unbroken ratios of the first samples, the second samples and the third samples are within 50%-55%;
- if an unbroken ratio of a sample is more than 55%, increasing corresponding impact time and performing the same impact test until the unbroken ratio is within 50%-55%, and at this moment, recording the impact time TrH2 and its unbroken ratio PrH2 of the rocker-arm vibrating machine for the first samples, the impact time TrM2 and its unbroken ratio PrM2 of the rocker-arm vibrating machine for the second samples, the impact time TrL2 and its unbroken ratio PrL2 of the rocker-arm vibrating machine for the third samples, the impact time TpH2 and its unbroken ratio PpH2 of the piston vibrating machine for the first samples, the impact time TpM2 and its unbroken ratio PpM2 of the piston vibrating machine for the medium grade second samples, and the impact time TpL2 and its unbroken ratio PpL2 of the piston vibrating machine for the third samples;
- (S9) separately calculating, according to Equations (1)-(3), impact times TrH50, TrM50, and TrL50 of the rocker-arm vibrating machine for the first samples, the second samples and the third samples with an unbroken ratio of 50%;
- and separately converting the impact times TrH50, TrM50, and TrL50 into their appropriate impact cycles CrH50, CrM50, and CrL50:
- C
- rH
-
- 50
- =
- [
- T
- rH
-
- 1
- +
- (
- T
- rH
-
- 1
- -
- T
- rH
-
- 2
- )
- ×
- (
- 5
-
- 0
- -
- P
- rH
-
- 1
- )
- (
- P
- rH
-
- 1
- -
- P
- rH
-
- 2
- )
- ]
- ×
- f
- r
- =
- T
- rH
-
- 50
- ×
- f
- r
- ;
- (
- 1
- )
- C
- rM
-
- 50
- =
- [
- T
- rM
-
- 1
- +
- (
- T
- rM
-
- 1
- -
- T
- rM
-
- 2
- )
- ×
- (
- 5
-
- 0
- -
- P
- rM
-
- 1
- )
- (
- P
- rM
-
- 1
- -
- P
- rM
-
- 2
- )
- ]
- ×
- f
- r
- =
- T
- rM
-
- 50
- ×
- f
- r
- ;
- and
- (
- 2
- )
- C
- rL
-
- 50
- =
- [
- T
- rL
-
- 1
- +
- (
- T
- rL
-
- 1
- -
- T
- rL
-
- 2
- )
- ×
- (
- 5
-
- 0
- -
- P
- rL
-
- 1
- )
- (
- P
- rL
-
- 1
- -
- P
- rL
-
- 2
- )
- ]
- ×
- f
- r
- =
- T
- rL
-
- 50
- ×
- f
- r
- ;
- (
- 3
- )
- (S10) separately calculating, according to Equations (4)-(6), impact times TpH50, TpM50, and TpL50 of the piston vibrating machine for the first samples, the second samples and the third samples with an unbroken ratio of 50%;
- and separately converting the impact times TpH50, TpM50, and TpL50 into their appropriate impact cycles CpH50, CpM50, and CpL50:
- C
- pH
-
- 50
- =
- [
- T
- pH
-
- 1
- +
- (
- T
- p
-
- H
-
- 1
- -
- T
- p
-
- H
-
- 2
- )
- ×
- (
- 5
-
- 0
- -
- P
- p
-
- H
-
- 1
- )
- (
- P
- p
-
- H
-
- 1
- -
- P
- p
-
- H
-
- 2
- )
- ]
- ×
- f
- p
- =
- T
- p
-
- H
-
- 5
-
- 0
- ×
- f
- p
- ;
- (
- 4
- )
- C
- pM
-
- 50
- =
- [
- T
- pM
-
- 1
- +
- (
- T
- pM
-
- 1
- -
- T
- pM
-
- 2
- )
- ×
- (
- 5
-
- 0
- -
- P
- pM
-
- 1
- )
- (
- P
- pM
-
- 1
- -
- P
- pM
-
- 2
- )
- ]
- ×
- f
- p
- =
- T
- pM
-
- 50
- ×
- f
- p
- ;
- and
- (
- 5
- )
- C
- pH
-
- 50
- =
- [
- T
- pM
-
- 1
- +
- (
- T
- pM
-
- 1
- -
- T
- pM
-
- 2
- )
- ×
- (
- 5
-
- 0
- -
- P
- pM
-
- 1
- )
- (
- P
- pM
-
- 1
- -
- P
- pM
-
- 2
- )
- ]
- ×
- f
- p
- =
- T
- p
-
- H
-
- 5
-
- 0
- ×
- f
- p
- ;
- (
- 6
- )
- (S11) separately calculating, according to Equations (7)-(9), impact cycle ratios RH50, RM50, and RL50 of the impact cycles CpH50, CpM50, and CpL50 to the impact cycles CrH50, CrM50 and CrL50:
- R
- H
-
- 50
- =
- C
- pH
-
- 50
- C
- rH
-
- 50
- ;
- (
- 7
- )
- R
- M
-
- 50
- =
- C
- pM
-
- 50
- C
- rM
-
- 50
- ;
- and
- (
- 8
- )
- R
- L
-
- 50
- =
- C
- pL
-
- 50
- C
- rL
-
- 50
- ;
- (
- 9
- )
- (S12) calculating, according to Equation (10), an average rA50 of the ratios RH50, RM50, and RL50:
- r
- A
-
- 5
-
- 0
- =
- R
- H
-
- 5
-
- 0
- +
- R
- M
-
- 5
-
- 0
- +
- R
- L
-
- 5
-
- 0
- 3
- ;
- (
- 10
- )
- (S13) repeating steps (S1)-(S12) to obtain another average r′A50, and averaging rA50 and r′A50 to obtain RA50;
- (S14) separately calculating the relative percentages of the first sample, the second sample, and the third sample according to |RA50-Rx50|/RA50, wherein x is H, M or L, MAX|RA50-Rx50|/RA50=RD50max/RA50;
- if any one of three relative percentages is not larger than 1.5% that is a given threshold, namely RD50max/RA50<=1.5%, proceeding to step (S15);
- if at least one of the three relative percentages is larger than 1.5%, namely RD50max/RA50>1.5%, proceeding to step (S16);
- and if all the three relative percentages exceed 3.0% or an expected precision value of the equivalent test result is significantly less than the given threshold, proceeding to step (S17);
- (S15) obtaining an impact cycle CNrx50 or CNpx50 of its same new sample of any grade in the size specification Si by impacting the sample with the rocker-arm vibrating machine or the piston vibrating machine;
- and calculating its appropriate equivalent impact cycle CEpx50 of the piston vibrating machine or its appropriate equivalent impact cycle CErx50 of the rocker-arm vibrating machine for the same samples according to Equation (11) or (12) without considering a grade relationship of the three relative percentages:
- C
- Epx
-
- 50
- =
- R
- A
-
- 5
-
- 0
- ·
- C
- Nrx
-
- 50
- ;
- and
- (
- 11
- )
- C
- Erx
-
- 50
- =
- C
- Npx
-
- 50
- R
- A
-
- 5
-
- 0
- .
- (
- 12
- )
- (S16) obtaining an impact cycle CNrH50 Or CNpH50 of the same new first sample, an impact cycle CNrM50 Or CNpM50 of the same new second sample, and CNrL50 or CNpL50 of the same new third sample in the size specification Si by impacting these samples with the rocker-arm vibrating machine or the piston vibrating machine;
- and calculating its appropriate equivalent impact cycle CEpH50 or CErH50 for the same new first sample, its appropriate equivalent impact cycle CEpM50 or CErM50 for the same new second sample and its appropriate equivalent impact cycle CEpL50 or CErL50 for the same new third sample for the piston vibrating machine and the rocker-arm vibrating machine according to Equations (13)-(18) in the case of considering the grade relationship of the three relative percentages:
- C
- EpH
-
- 50
- =
- R
- H
-
- 5
-
- 0
- ·
- C
- NrH
-
- 50
- ;
- (
- 13
- )
- C
- ErH
-
- 50
- =
- C
- NpH
-
- 50
- R
- H
-
- 5
-
- 0
- ;
- (
- 14
- )
- C
- EpM
-
- 50
- =
- R
- M
-
- 5
-
- 0
- ·
- C
- NrM
-
- 50
- ;
- (
- 15
- )
- C
- ErM
-
- 50
- =
- C
- NpM
-
- 50
- R
- M
-
- 5
-
- 0
- ;
- (
- 16
- )
- C
- EpL
-
- 50
- =
- R
- L
-
- 5
-
- 0
- ·
- C
- NrL
-
- 50
- ;
- and
- (
- 17
- )
- C
- ErL
-
- 50
- =
- C
- NpL
-
- 50
- R
- L
-
- 5
-
- 0
- ;
- and
- (
- 18
- )
- (S17) increasing the number of sample grades to 5 or 7;
- establishing equivalent calculation equations for 5 sample grades or 7 sample grades in the same size with reference to steps (S1)-(S16);
- and calculating equivalent test results between the rocker-arm vibrating machine and the piston vibrating machine according to the equivalent calculation equations newly established.