CN113836669B - Synchronous belt tensioning method of independent carrying system equipment considering reliability - Google Patents

Synchronous belt tensioning method of independent carrying system equipment considering reliability Download PDF

Info

Publication number
CN113836669B
CN113836669B CN202111390099.7A CN202111390099A CN113836669B CN 113836669 B CN113836669 B CN 113836669B CN 202111390099 A CN202111390099 A CN 202111390099A CN 113836669 B CN113836669 B CN 113836669B
Authority
CN
China
Prior art keywords
synchronous belt
life
tension
limit value
test
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Active
Application number
CN202111390099.7A
Other languages
Chinese (zh)
Other versions
CN113836669A (en
Inventor
陈翼
杨秀清
赵东飞
王小锐
何威
向勇
吴仕杰
曹津源
李婷
伏鑫炜
马俊勇
魏炫宇
秦国铭
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Civil Aviation Logistics Technology Co ltd
Original Assignee
Civil Aviation Logistics Technology Co ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Civil Aviation Logistics Technology Co ltd filed Critical Civil Aviation Logistics Technology Co ltd
Priority to CN202111390099.7A priority Critical patent/CN113836669B/en
Publication of CN113836669A publication Critical patent/CN113836669A/en
Application granted granted Critical
Publication of CN113836669B publication Critical patent/CN113836669B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/10—Geometric CAD
    • G06F30/17—Mechanical parametric or variational design
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/02—Reliability analysis or reliability optimisation; Failure analysis, e.g. worst case scenario performance, failure mode and effects analysis [FMEA]
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/12—Timing analysis or timing optimisation
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/14—Force analysis or force optimisation, e.g. static or dynamic forces

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Geometry (AREA)
  • General Physics & Mathematics (AREA)
  • Evolutionary Computation (AREA)
  • General Engineering & Computer Science (AREA)
  • Computer Hardware Design (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Belt Conveyors (AREA)
  • Testing Of Devices, Machine Parts, Or Other Structures Thereof (AREA)

Abstract

The invention relates to the technical field of baggage handling systems, and discloses a method for tensioning a synchronous belt of an independent carrying system device with reliability considered, which comprises the following steps: acquiring an optimal range of the tension of a synchronous belt on the independent carrying system equipment, wherein the optimal range comprises an upper limit value and a lower limit value; adjusting the tension of a synchronous belt on the independent carrying system equipment based on the optimal range; wherein, obtaining the upper limit value comprises: acquiring service life data of the synchronous belt under a high tension level, wherein the high tension is greater than a preset tension threshold; constructing a life acceleration model based on the life data; inputting a preset life value into a life acceleration model to obtain an upper limit value; wherein obtaining the lower limit value comprises: acquiring the maximum excitation frequency and the vibration frequency of the synchronous belt in operation; and constructing a function based on the maximum excitation frequency and the vibration frequency to obtain a lower limit value. The invention solves the problem that the installation of the synchronous belt on the independent carrying system equipment is determined by the experience of operators and can not provide proper tension for the synchronous belt of the independent carrying system equipment.

Description

Synchronous belt tensioning method of independent carrying system equipment considering reliability
Technical Field
The invention relates to the technical field of baggage handling systems, in particular to a synchronous belt tensioning method of an independent carrying system device considering reliability.
Background
The independent carrying system is suitable for fast and large-batch baggage conveying and can seamlessly cooperate with processes of baggage security check, baggage storage, final sorting and the like. The key equipment for forming the independent luggage carrying system comprises a linear conveying device, a static sorting device, a horizontal dividing/converging device and the like, the key equipment is provided with synchronous belts with different specifications, and the synchronous belts are driven by a motor to generate transmission so as to complete the support and the conveying of the tray. For independent carrying system equipment, the synchronous belt belongs to an element with high probability of failure, has great influence on the working performance and the service life of the equipment, and is also the key point of daily overhaul and maintenance.
The tension of the synchronous belt in the independent carrying system equipment is actually a pre-tightening force, and the resultant force of the pre-tightening force and the tray is the actual stress of the synchronous belt. In practice, the pallet is generally supported in the longitudinal direction by the idler, so the longitudinal working force on the timing belt is negligible. In addition, the tension may exhibit degradation or fluctuations with long term use of the independent carrier system equipment, changes in ambient temperature differences, and the like.
The excessively high tension force harms the synchronous belt of the independent carrying system equipment, the bending fatigue of a strong layer material (such as galvanized steel wires) is easily caused, and the pressure of the gear tooth top on the synchronous belt is increased, so that the service life of the synchronous belt is shortened. Further, the pressure on the shaft increases, and the bearing is easily damaged.
And the tensioning force is too low and probably can make the hold-in range appear jumping the tooth phenomenon in the operation process, and the precision of system can worsen, and vibration and noise also can grow simultaneously, probably cause serious influence to the normal circulation of tray. In addition, too little tension may cause the timing belt to jump out of the timing groove.
Furthermore, existing research shows that there is a significant relationship between the initial tension and the actual life of the timing belt, and the trend and reason can be described as: under the condition of low initial tension, the actual service life is also low, because the tension is lower than a certain level, the service life of the synchronous belt is reduced due to tooth jumping; as the initial tension increases, the actual life begins to increase because the wear of the teeth and belt is reduced and the life increases; when the initial tension exceeds a certain value, the corresponding actual service life begins to decrease again because the excessive tension accelerates the flexural fatigue of the synchronous belt, so that the service life is reduced.
Therefore, it can be seen that the magnitude of the tension of the synchronous belt in the independent carrier system device has an important influence on the normal operation of the independent carrier system device, but the determination of the tension of the synchronous belt in the independent carrier system device at present only depends on the experience of an operator, and cannot accurately provide a proper tension for the synchronous belt of the independent carrier system device.
Disclosure of Invention
Based on the technical problems, the invention provides the method for tensioning the synchronous belt of the independent carrying system equipment in consideration of reliability, and solves the problem that the installation of the synchronous belt on the existing independent carrying system equipment is completely determined by the experience of operators and the synchronous belt of the independent carrying system equipment cannot provide proper tension.
In order to solve the technical problems, the technical scheme adopted by the invention is as follows:
a reliability-considered independent carrier system device synchronous belt tensioning method, comprising:
acquiring an optimal range of the tension of a synchronous belt on the independent carrying system equipment, wherein the optimal range comprises an upper limit value and a lower limit value;
adjusting the tension of a synchronous belt on the independent carrying system equipment based on the optimal range;
wherein, obtaining the upper limit value comprises:
acquiring service life data of the synchronous belt under a high tension level, wherein the high tension is greater than a preset tension threshold;
constructing a life acceleration model based on the life data;
inputting a preset life value into a life acceleration model to obtain an upper limit value;
wherein obtaining the lower limit value comprises:
acquiring the maximum excitation frequency and the vibration frequency of the synchronous belt in operation;
and constructing a function based on the maximum excitation frequency and the vibration frequency to obtain a lower limit value.
Further, acquiring the life data of the synchronous belt at the high tension level comprises:
selecting a plurality of strong tension forces as a test condition set;
selecting a plurality of synchronous belt groups as a test sample set, wherein the synchronous belt groups comprise a preset number of synchronous belts;
carrying out fixed number truncation life tests on the synchronous belt groups in the test sample set and the strong tension in the test condition set in a one-to-one correspondence manner;
and acquiring the result of the fixed number truncated life test as life data.
Further, a life acceleration model is constructed based on the life data, and the life acceleration model specifically comprises:
Figure 424143DEST_PATH_IMAGE002
wherein the content of the first and second substances,
Figure 317013DEST_PATH_IMAGE004
representing the average lifetime, a and b representing the pending parameters,
Figure 310508DEST_PATH_IMAGE006
a known function representing a strong tension force F;
wherein the content of the first and second substances,
Figure 726096DEST_PATH_IMAGE008
。
further, acquiring the parameters a and b to be determined includes:
acquiring total test time of a fixed number truncation life test, specifically:
Figure 442117DEST_PATH_IMAGE010
wherein the content of the first and second substances,
Figure 87862DEST_PATH_IMAGE012
indicates the total trial time of the ith timing band group,
Figure 150627DEST_PATH_IMAGE014
indicating the failure life of the jth failing timing belt in the ith timing belt set,
Figure 932638DEST_PATH_IMAGE016
indicating the number of failed timing belts in the ith timing belt group,
Figure 568629DEST_PATH_IMAGE018
indicates the number of timing belts in the ith timing belt group,
Figure 170512DEST_PATH_IMAGE020
the test time when the ith synchronous belt group fixed number truncation life test is finished is shown; k represents the total number of synchronous belt groups, namely the total number of test groups;
total test time corresponds to gamma distribution
Figure 20656DEST_PATH_IMAGE022
，
Figure 706109DEST_PATH_IMAGE024
The average service life of the synchronous belt of the ith synchronous belt group is shown; obtained by using gamma distribution
Figure 763933DEST_PATH_IMAGE026
The mathematical expectation and variance of (a) are specifically:
Figure 649849DEST_PATH_IMAGE028
wherein the content of the first and second substances,
Figure 319996DEST_PATH_IMAGE030
to represent
Figure 811020DEST_PATH_IMAGE026
The mathematical expectation of (a) is that,
Figure 993740DEST_PATH_IMAGE032
、
Figure 87991DEST_PATH_IMAGE034
to represent
Figure 545517DEST_PATH_IMAGE026
The variance of (a);
wherein the content of the first and second substances,
Figure 907360DEST_PATH_IMAGE036
，
Figure 323297DEST_PATH_IMAGE038
，
Figure 901915DEST_PATH_IMAGE040
and
Figure 163132DEST_PATH_IMAGE042
a function value representing a function relating to only the failure number r;
obtaining
Figure 225154DEST_PATH_IMAGE044
Unbiased estimation of
Figure 280834DEST_PATH_IMAGE046
Tool for measuringThe body is as follows:
Figure 831901DEST_PATH_IMAGE048
estimated values of undetermined parameters a and b in the life acceleration model can be obtained by a linear regression model and a Gaussian-Markov theorem
Figure 850804DEST_PATH_IMAGE050
Expressed as:
Figure 170927DEST_PATH_IMAGE052
wherein E, I, G, H, M represents the transition function value, specifically:
Figure 131930DEST_PATH_IMAGE054
、
Figure 153981DEST_PATH_IMAGE056
、
Figure 491422DEST_PATH_IMAGE058
、
Figure 931630DEST_PATH_IMAGE060
、
Figure 548688DEST_PATH_IMAGE062
。
further, inputting the preset life value into the life acceleration model to obtain an upper limit value specifically is:
Figure 74347DEST_PATH_IMAGE064
wherein the content of the first and second substances,
Figure 684320DEST_PATH_IMAGE066
the upper limit value is represented by the following numerical value,
Figure 219513DEST_PATH_IMAGE068
representing a preset life value.
Further, the failure conditions of the test specimens in the fixed number tail life test include tooth drop, fracture, tooth belt wear, tooth bottom wear, belt back wear, belt side wear, tooth root cracking, and belt back cracking.
Further, obtaining the maximum excitation frequency and the maximum vibration frequency when the synchronous belt runs comprises:
maximum excitation frequency
Figure 522319DEST_PATH_IMAGE070
The method specifically comprises the following steps:
Figure 269695DEST_PATH_IMAGE072
wherein the content of the first and second substances,
Figure 699670DEST_PATH_IMAGE074
the maximum running speed of the synchronous belt is shown,
Figure 848892DEST_PATH_IMAGE076
the number of the riding wheels on one side is represented, and L represents the length of the synchronous belt;
frequency of vibration
Figure 322599DEST_PATH_IMAGE078
The method specifically comprises the following steps:
Figure 540959DEST_PATH_IMAGE080
wherein l represents the center distance between two adjacent riding wheels,
Figure 758314DEST_PATH_IMAGE082
which represents the line quality of the timing belt,
Figure 27621DEST_PATH_IMAGE084
indicating the tension.
Further, constructing the function based on the maximum excitation frequency and the vibration frequency to obtain the lower limit value comprises:
function construction function based on maximum excitation frequency and vibration frequency construction function
Figure 422962DEST_PATH_IMAGE086
The method specifically comprises the following steps:
Figure 879351DEST_PATH_IMAGE088
function of function
Figure 900396DEST_PATH_IMAGE090
Tension corresponding to
Figure 276407DEST_PATH_IMAGE092
The value of (d) is the lower limit value sought, specifically:
Figure 91917DEST_PATH_IMAGE094
。
compared with the prior art, the invention has the beneficial effects that:
the invention provides the optimal range of the tension of the synchronous belt on the independent carrying system equipment, and the installation of the synchronous belt on the independent carrying system equipment is adjusted through the obtained optimal range of the tension, so that the problem that the service life of the synchronous belt is influenced because the installation of the synchronous belt on the existing independent carrying system equipment is completely determined by the experience of operators and the synchronous belt cannot be ensured to be in an appropriate range is solved. In addition, the range of the tension can be given on the determined reliability level only through simple test operation and mathematical calculation without complex simulation analysis, and the method is suitable for engineering application.
Drawings
The accompanying drawings, which are included to provide a further understanding of the invention and are incorporated in and constitute a part of this application, illustrate embodiment(s) of the invention and together with the description serve to explain the invention without limiting the invention. Wherein:
fig. 1 is a flow chart of a method for tensioning a synchronous belt of an independent carrying system device with reliability considered.
Fig. 2 is a flow chart for obtaining life data for a synchronous belt at high tension levels.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present application clearer, the technical solutions of the embodiments of the present application will be clearly and completely described below with reference to the drawings of the embodiments of the present application. It should be apparent that the described embodiments are only some of the embodiments of the present application, and not all embodiments. All other embodiments, which can be derived by a person skilled in the art from the described embodiments of the application without any inventive step, are within the scope of protection of the application.
The application aims at providing a synchronous belt tensioning method of an independent carrying system device considering reliability, and the method comprises the steps of obtaining a preferable range of the tension of a synchronous belt on the independent carrying system device, wherein the preferable range comprises an upper limit value and a lower limit value; adjusting the tension of a synchronous belt on the independent carrying system equipment based on the optimal range; wherein, obtaining the upper limit value comprises: acquiring service life data of the synchronous belt under a high tension level, wherein the high tension is greater than a preset tension threshold; constructing a life acceleration model based on the life data; inputting a preset life value into a life acceleration model to obtain an upper limit value; wherein obtaining the lower limit value comprises: acquiring the maximum excitation frequency and the vibration frequency of the synchronous belt in operation; and constructing a function based on the maximum excitation frequency and the vibration frequency to obtain a lower limit value.
The embodiment of the application scene is used for adjusting the tension of the synchronous belt on the independent carrying system equipment, the tension of the synchronous belt is adjusted within the optimal range by the aid of the tension of the synchronous belt, an operator only needs to adjust the tension of the synchronous belt within the optimal range, and the problem of overlarge or undersize of the tension of the synchronous belt is avoided, so that the service life of the synchronous belt on the independent carrying system equipment is prolonged.
Referring to fig. 1, in the present embodiment, there is provided a method for tensioning a timing belt of an independent carrier system device considering reliability, including:
s110, acquiring an optimal range of the tension of a synchronous belt on the independent carrying system equipment, wherein the optimal range comprises an upper limit value and a lower limit value;
wherein, obtaining the upper limit value comprises:
s111, acquiring service life data of the synchronous belt under a high tension level, wherein the high tension is greater than a preset tension threshold;
wherein, the synchronous belt will continuously degrade and even fail due to the flexural fatigue and friction in the actual use process. Specifically, under the condition that surface wear caused by a tray is not considered, the failure modes of the synchronous belt can be summarized into 8 modes including tooth falling, breakage, tooth belt wear, tooth bottom wear, belt back wear, belt side wear, tooth root crack and belt back crack, the occurrence of any one failure mode can be used as a basis for judging failure, and the failure time is the actual service life of the synchronous belt.
In practice, the actual life of the synchronous belt can be converted by the number of test cycles of the synchronous belt (returning to the original point by one turn is a cycle), generally, a synchronous belt with a certain model has a correspondingly marked design life when leaving a factory, and the design value is a theoretical life value comprehensively considering various extreme conditions and design safety factors. However, in practice, the design value may not be a life reference value in actual use for the following reasons:
1. the difference between the parameters and loading conditions of the test equipment before delivery and the parameters and working load of the actual application equipment is large;
2. different initial tension forces correspond to different measured life values, the tension forces may be different in each application scene, and in addition, the tension forces are degraded or fluctuated due to temperature difference.
Therefore, the service life data of the synchronous belt under the actual working condition needs to be acquired. Referring to fig. 2, in some embodiments, acquiring life data for the synchronous belt at high tension levels comprises:
s201, selecting a plurality of strong tension as a test condition set;
wherein the content of the first and second substances,the strong tension is greater than a preset tension threshold. Specifically, the preset tension threshold is
Figure 301181DEST_PATH_IMAGE096
，
Figure 345492DEST_PATH_IMAGE098
Representing the maximum allowable tensile force design value of the synchronous belt, k strong tensile forces in the experimental condition set
Figure 323812DEST_PATH_IMAGE100
It should satisfy:
Figure 575802DEST_PATH_IMAGE102
specifically, a strong tension as a test condition was obtained by the belt tensiometer. For a belt tensiometer, the specific experimental method is as follows: after the belt tensiometer is opened, a test probe is close to the synchronous belt, riding wheels at two ends of the synchronous belt are pressed, the synchronous belt is shifted to shake, the Hertz number F is measured as the frequency, then the frequency value is converted into the actual tension force F, and the functional relation is as follows:
Figure 256051DEST_PATH_IMAGE104
wherein the content of the first and second substances,
Figure 618899DEST_PATH_IMAGE106
is the linear mass (kg/m) of the timing belt, l is the center-to-center distance of two adjacent idlers, and 4 is a constant which is independent of the timing belt material.
S202, selecting a plurality of synchronous belt groups as a test sample set, wherein the synchronous belt groups contain a preset number of synchronous belts;
the synchronous belts are selected from the same batch of synchronous belts with qualified quality so as to ensure the accuracy of a subsequent fixed number tail-cutting life test.
Specifically, the preset number of the synchronous belts can be adjusted according to the actual test condition, generally speaking, in the test, the more the number of the synchronous belts as the test sample is, the more accurate the data obtained by the test is. However, the use of too many timing belts for testing results in increased testing costs. Therefore, in actual test operation, the number of the synchronous belts contained in each synchronous belt group is generally 3 to 6, and in the range, more accurate experimental data can be obtained, and the test cost can be saved as much as possible.
Specifically, the number of the synchronous belt groups is more than 3.
S203, carrying out fixed number truncation service life tests on the synchronous belt groups in the test sample set and the strong tension in the test condition set in a one-to-one correspondence manner;
wherein, the synchronous belt group is subjected to a constant number truncation service life test under a corresponding strong tension level.
Specifically, the test is stopped when at least 80% of synchronous belts in the synchronous belt group fail in a specified number of tail-cutting service life tests;
specifically, when a constant number truncation life test is carried out, the method comprises
Figure 186146DEST_PATH_IMAGE108
Is unit time, every other
Figure 359770DEST_PATH_IMAGE108
The time period is checked for a failure condition. In the actual practice of the test,
Figure 278047DEST_PATH_IMAGE108
the time from the beginning of the life test to the failure of the synchronous belt is longer for 8 hours, so that the service life of the synchronous belt can be ensured to be accurate to the day by observing the synchronous belt once for 8 hours, and meanwhile, the test personnel can work and rest conveniently, so that the test cost is reduced.
S204, obtaining the result of the constant number truncated life test as life data.
Specifically, the service life data comprises the failure number and failure time data of the synchronous belts in the synchronous belt group under each high tension condition.
S112, constructing a life acceleration model based on the life data;
the service life data shows that under a strong tension, the total cycle number of the synchronous belt shows an obvious descending trend along with the increase of the tension, so that a monotonous decreasing relation exists between the strong tension (accelerated stress) and certain reliability indexes (such as average service life, median service life and the like). Furthermore, the combination of the service life information of the synchronous belt provided by the manufacturer and factory test data of the synchronous belt shows that the service life distribution of the synchronous belt follows exponential distribution and distribution function under the high-strength tension level
Figure 179007DEST_PATH_IMAGE110
The method specifically comprises the following steps:
Figure 384117DEST_PATH_IMAGE112
wherein, the time t is a continuous random variable,
Figure 712330DEST_PATH_IMAGE004
is the average life of the tension level F, which can be used as a reliability indicator.
Through the above rules, according to the definition of the accelerated life test, the life characteristics of the synchronous belt under strong tension can be used for extrapolating the life characteristics under normal stress, in some embodiments, a life acceleration model is constructed based on life data, and the life acceleration model specifically comprises:
Figure 117904DEST_PATH_IMAGE002
wherein the content of the first and second substances,
Figure 822555DEST_PATH_IMAGE004
representing the average lifetime, a and b representing the pending parameters,
Figure 380706DEST_PATH_IMAGE006
a known function representing a strong tension force F;
wherein the content of the first and second substances,
Figure 145400DEST_PATH_IMAGE008
。
wherein, obtaining the undetermined parameters a and b comprises:
acquiring total test time of a fixed number truncation life test, specifically:
Figure 772690DEST_PATH_IMAGE010
wherein the content of the first and second substances,
Figure 264720DEST_PATH_IMAGE012
indicates the total trial time of the ith timing band group,
Figure 926646DEST_PATH_IMAGE014
indicating the failure life of the jth failing timing belt in the ith timing belt set,
Figure 862241DEST_PATH_IMAGE016
indicating the number of failed timing belts in the ith timing belt group,
Figure 993139DEST_PATH_IMAGE018
indicates the number of timing belts in the ith timing belt group,
Figure 774013DEST_PATH_IMAGE020
the test time when the ith synchronous belt group fixed number truncation life test is finished is shown;
where k represents the total number of sync-band groups, i.e., the total number of trial groups.
As can be seen from the above description, the life distribution of the timing belt follows an exponential distribution at high tensile tension levels. Then the total test time is in accordance with the gamma distribution according to the exponential distribution function of the service life of the synchronous belt
Figure 556024DEST_PATH_IMAGE022
，
Figure 914718DEST_PATH_IMAGE024
The average service life of the synchronous belt of the ith synchronous belt group is shown; obtained by using gamma distribution
Figure 516600DEST_PATH_IMAGE026
The mathematical expectation and variance of (a) are specifically:
Figure 366745DEST_PATH_IMAGE028
wherein the content of the first and second substances,
Figure 488416DEST_PATH_IMAGE030
to represent
Figure 765813DEST_PATH_IMAGE026
The mathematical expectation of (a) is that,
Figure 589413DEST_PATH_IMAGE032
、
Figure 492516DEST_PATH_IMAGE034
to represent
Figure 983540DEST_PATH_IMAGE026
The variance of (a);
wherein the content of the first and second substances,
Figure 166259DEST_PATH_IMAGE036
，
Figure 759046DEST_PATH_IMAGE038
，
Figure 685414DEST_PATH_IMAGE040
and
Figure 30944DEST_PATH_IMAGE042
a function value representing a function relating to only the failure number r;
due to the fact that
Figure 992140DEST_PATH_IMAGE040
And
Figure 55911DEST_PATH_IMAGE042
only related to the failure number r, for the convenience of subsequent calculation, the failure numbers of different types can be used
Figure 520390DEST_PATH_IMAGE040
And
Figure 736739DEST_PATH_IMAGE042
a look-up table as shown in table 1 was prepared.
Figure 526840DEST_PATH_IMAGE114
TABLE 1
Figure 812328DEST_PATH_IMAGE040
And
Figure 860924DEST_PATH_IMAGE042
table of function values at different number of failures
Obtaining
Figure 915468DEST_PATH_IMAGE044
Unbiased estimation of
Figure 876471DEST_PATH_IMAGE046
The method specifically comprises the following steps:
Figure 399987DEST_PATH_IMAGE048
estimated values of undetermined parameters a and b in the life acceleration model can be obtained by a linear regression model and a Gaussian-Markov theorem
Figure 737428DEST_PATH_IMAGE050
Expressed as:
Figure 912057DEST_PATH_IMAGE052
wherein E, I, G, H, M represents the transition function value, specifically:
Figure 296158DEST_PATH_IMAGE054
、
Figure 556238DEST_PATH_IMAGE056
、
Figure 431791DEST_PATH_IMAGE058
、
Figure 742817DEST_PATH_IMAGE060
、
Figure 45623DEST_PATH_IMAGE062
。
s113, inputting a preset life value into a life acceleration model to obtain an upper limit value;
in some embodiments, inputting the preset life value into the life acceleration model to obtain the upper limit value specifically includes:
Figure 792999DEST_PATH_IMAGE064
wherein the content of the first and second substances,
Figure 721509DEST_PATH_IMAGE066
the upper limit value is represented by the following numerical value,
Figure 605152DEST_PATH_IMAGE068
representing a preset life value.
Specifically, the preset life value is a minimum acceptable average life value determined by a synchronous belt user, and is equivalent to a life design value for running of a synchronous belt on an independent carrying system device.
Wherein obtaining the lower limit value comprises:
s114, acquiring the maximum excitation frequency and the maximum vibration frequency of the synchronous belt in operation;
wherein, in some embodiments, obtaining the maximum excitation frequency and the vibration frequency when the synchronous belt runs comprises:
maximum excitation frequency
Figure 78858DEST_PATH_IMAGE070
The method specifically comprises the following steps:
Figure 798684DEST_PATH_IMAGE072
wherein the content of the first and second substances,
Figure 281618DEST_PATH_IMAGE074
the maximum running speed of the synchronous belt is shown,
Figure 19767DEST_PATH_IMAGE076
the number of the riding wheels on one side is represented, and L represents the length of the synchronous belt;
frequency of vibration
Figure 182151DEST_PATH_IMAGE078
The method specifically comprises the following steps:
Figure 638540DEST_PATH_IMAGE080
wherein l represents the center distance between two adjacent riding wheels,
Figure 925165DEST_PATH_IMAGE082
which represents the line quality of the timing belt,
Figure 534132DEST_PATH_IMAGE084
indicating the tension.
Specifically, the vibration frequency is derived by a principle that a belt tensiometer acquires the tension of the synchronous belt.
And S115, constructing a function based on the maximum excitation frequency and the vibration frequency to obtain a lower limit value.
In some embodiments, constructing the function based on the maximum excitation frequency and the vibration frequency to obtain the lower limit value comprises:
specifically, two ends of the synchronous belt are provided with synchronous wheels, wherein one end of the synchronous belt is provided with a driving synchronous wheel, and the other end of the synchronous belt is provided with a toothless driven synchronous wheel. When the synchronous wheel drives the synchronous belt to carry out tray transmission, the tray generates impact through the synchronous belt and the following riding wheels, the impact can cause the longitudinal or transverse vibration or shake of the synchronous belt between the two riding wheels, and the input frequency can be calculated as follows:
Figure 615221DEST_PATH_IMAGE116
wherein the content of the first and second substances,
Figure 558906DEST_PATH_IMAGE118
is the input frequency and V is the synchronous belt speed.
According to the relation between the tension of the synchronous belt and the vibration frequency, if the initial tension is small, the longitudinal frequency and the transverse frequency of the synchronous belt measured by a belt tension meter are small, so that the phenomena of obvious jitter, noise increase and the like can occur. To avoid these deficiencies, the initial tension of the timing belt should have a lower limit
Figure 632910DEST_PATH_IMAGE084
Based on the lower limit vibration frequency of the synchronous belt corresponding to the lower limit value
Figure 345651DEST_PATH_IMAGE080
The maximum value of the excitation frequency generated in the gear transmission is more than or equal to:
Figure 597641DEST_PATH_IMAGE120
thereby, the function is constructed based on the maximum excitation frequency and the vibration frequency
Figure 44934DEST_PATH_IMAGE086
The method specifically comprises the following steps:
Figure 407782DEST_PATH_IMAGE088
when in use
Figure 240609DEST_PATH_IMAGE122
Time, means
Figure 915697DEST_PATH_IMAGE084
The requirements are met; when in use
Figure 568395DEST_PATH_IMAGE124
Time, means
Figure 751246DEST_PATH_IMAGE084
Does not meet the requirements. Therefore, when the function is
Figure 438579DEST_PATH_IMAGE090
Tension corresponding to
Figure 32372DEST_PATH_IMAGE092
The value of (d) is the lower limit value sought, specifically:
Figure 687213DEST_PATH_IMAGE094
and S120, adjusting the tension of the synchronous belt on the independent carrying system equipment based on the preferred range.
In connection with the above embodiments, the method for tensioning the timing belt of the present application will be further described with specific independent carrier system devices:
specifically, the individual carrier system device selects the horizontal diversion device.
Wherein, the length of the horizontal shunting equipment is 3m, and the length of the synchronous belt
Figure 126285DEST_PATH_IMAGE126
Maximum speed
Figure 933704DEST_PATH_IMAGE128
Number of riding wheels on one side
Figure 449130DEST_PATH_IMAGE130
Center distance of riding wheel
Figure 341999DEST_PATH_IMAGE132
Maximum allowable load of synchronous belt
Figure 584762DEST_PATH_IMAGE134
The material of the strong layer of the synchronous belt is galvanized steel wire, the material of the belt body of the synchronous belt is thermoplastic polyurethane, and the line quality of the synchronous belt is
Figure 18324DEST_PATH_IMAGE136
。
In the first step, a constant number tail-cutting service life test of a synchronous belt with strong tension as acceleration stress is designed and implemented.
First, 3 different levels of experimental tensile stress were determined,
Figure 688340DEST_PATH_IMAGE138
. The number of synchronous belt samples under each tension level is 3, the unit is 8h, the failure condition is checked every 8h, and the failure data are shown in table 2.
Figure 802927DEST_PATH_IMAGE140
TABLE 2 fixed number truncated life test failure data table
In the second step, the upper limit value of the preferable range of the tightening force is calculated.
From table 1, look-up a table:
Figure 865692DEST_PATH_IMAGE142
from this calculation:
Figure 647703DEST_PATH_IMAGE144
the results of the obtained parameter calculation table are shown in table 3:
Figure 754199DEST_PATH_IMAGE146
TABLE 3 parameter calculation Table
Determining a minimum acceptable average life value
Figure 339770DEST_PATH_IMAGE148
Then, the upper limit value of the tension:
Figure 189914DEST_PATH_IMAGE150
the third step: calculating a lower limit value of the tension:
Figure 842744DEST_PATH_IMAGE152
a preferred range of belt tension for the horizontal diversion apparatus is thereby achieved.
In addition, the specific content of the method shows that the method can be used for not only independent carrying system equipment, but also other equipment with synchronous belts, and is wide in application range and high in practicability.
The above is an embodiment of the present invention. The embodiments and specific parameters in the embodiments are only used for clearly illustrating the verification process of the invention and are not used for limiting the patent protection scope of the invention, which is defined by the claims, and all the equivalent structural changes made by using the contents of the description and the drawings of the present invention should be included in the protection scope of the present invention.

Claims (2)

1. The independent carrying system equipment synchronous belt tensioning method considering reliability is characterized by comprising the following steps:
acquiring an optimal range of the tension of a synchronous belt on an independent carrying system device, wherein the optimal range comprises an upper limit value and a lower limit value;
adjusting a tension of the timing belt on an independent carrier system device based on the preferred range;
wherein obtaining the upper limit value comprises:
acquiring service life data of the synchronous belt under a strong tension level, wherein the strong tension is greater than a preset tension threshold;
constructing a life acceleration model based on the life data;
inputting a preset life value into the life acceleration model to obtain the upper limit value;
wherein obtaining the lower limit value comprises:
acquiring the maximum excitation frequency and the vibration frequency of the synchronous belt in operation;
constructing a function based on the maximum excitation frequency and the vibration frequency to obtain the lower limit value;
wherein, acquire the life-span data of hold-in range under strong tension level includes:
selecting a plurality of strong tension forces as a test condition set;
selecting a plurality of synchronous belt groups as a test sample set, wherein the synchronous belt groups contain a preset number of synchronous belts;
carrying out a fixed number truncation life test on the synchronous belt groups in the test sample set and the strong tension in the test condition set in a one-to-one correspondence manner;
obtaining the result of the fixed number truncation life test as the life data;
wherein a lifetime acceleration model is constructed based on the lifetime data:
the service life acceleration model specifically comprises the following steps:
lnθ＝a+bλ(F)
wherein θ represents the average life, a and b represent undetermined parameters, and λ (F) represents a known function of the high tension F;
wherein λ (F) ═ F1/2；
Wherein, obtaining the undetermined parameters a and b comprises:
acquiring the total test time of the fixed number truncation life test, specifically:
Figure FDA0003454895430000011
wherein the content of the first and second substances,
Figure FDA0003454895430000012
denotes the total trial time, t, of the ith timing band groupijIndicates the failure life of the jth failed synchronous belt in the ith synchronous belt group, riIndicating the number of failed timing belts in the ith timing belt group, niIndicates the number of timing belts in the ith timing belt group,
Figure FDA0003454895430000013
the test time when the ith synchronous belt group fixed number truncation life test is finished is shown; k represents the total number of synchronous belt groups, namely the total number of test groups;
the total test time corresponds to the gamma distribution Ga (r)i,1/θi)，θiRepresenting the average life of the synchronous belts in the ith synchronous belt group; obtained by using gamma distribution
Figure FDA0003454895430000021
The mathematical expectation and variance of (a) are specifically:
Figure FDA0003454895430000022
Figure FDA0003454895430000023
wherein the content of the first and second substances,
Figure FDA0003454895430000024
to represent
Figure FDA0003454895430000025
The mathematical expectation of (a) is that,
Figure FDA0003454895430000026
ρito represent
Figure FDA0003454895430000027
The variance of (a);
wherein the content of the first and second substances,
Figure FDA0003454895430000028
Θ (r) and ρ (2, r-1) represent function values related to the failure number r only;
obtaining ln thetaiUnbiased estimation of betaiThe method specifically comprises the following steps:
Figure FDA0003454895430000029
obtaining estimated values of undetermined parameters a and b in the service life acceleration model by using a linear regression model and a Gaussian-Markov theorem
Figure FDA00034548954300000210
Expressed as:
Figure FDA00034548954300000211
Figure FDA00034548954300000212
wherein E, I, G, H, M represents the transition function value, specifically:
Figure FDA00034548954300000213
Figure FDA00034548954300000214
the obtaining of the upper limit value by inputting a preset life value into the life acceleration model specifically includes:
Figure FDA00034548954300000215
wherein, FuDenotes the upper limit value, θ0Representing a preset life value;
wherein, the maximum excitation frequency and the vibration frequency when obtaining the hold-in range operation include:
said maximum excitation frequency max (f)T) The method specifically comprises the following steps:
Figure FDA00034548954300000216
wherein, VmaxRepresenting the maximum running speed, n, of the timing beltTThe number of the riding wheels on one side is represented, and L represents the length of the synchronous belt;
the vibration frequency flThe method specifically comprises the following steps:
Figure FDA00034548954300000217
wherein l represents the center distance between two adjacent riding wheels, and m0Representing the line quality of the timing belt, FlIndicating a tension;
wherein constructing a function based on the maximum excitation frequency and the vibration frequency to obtain the lower limit value comprises:
constructing a function G based on the maximum excitation frequency and the vibration frequencyfThe method specifically comprises the following steps:
Gf＝fl-max(fT)
when function GfWhen equal to 0, the corresponding tension FlThe value of (d) is the lower limit value sought, specifically:
Figure FDA0003454895430000031
Figure FDA0003454895430000032
2. the reliability-considered independent carrier system device synchronous belt tensioning method as claimed in claim 1, wherein:
the failure conditions of the test specimens in the constant number tailbiting life test include tooth drop, fracture, tooth flank wear, tooth bottom wear, belt back wear, belt side wear, tooth root cracking, and belt back cracking.
CN202111390099.7A 2021-11-23 2021-11-23 Synchronous belt tensioning method of independent carrying system equipment considering reliability Active CN113836669B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202111390099.7A CN113836669B (en) 2021-11-23 2021-11-23 Synchronous belt tensioning method of independent carrying system equipment considering reliability

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202111390099.7A CN113836669B (en) 2021-11-23 2021-11-23 Synchronous belt tensioning method of independent carrying system equipment considering reliability

Publications (2)

Publication Number Publication Date
CN113836669A CN113836669A (en) 2021-12-24
CN113836669B true CN113836669B (en) 2022-03-01

Family

ID=78971568

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202111390099.7A Active CN113836669B (en) 2021-11-23 2021-11-23 Synchronous belt tensioning method of independent carrying system equipment considering reliability

Country Status (1)

Country Link
CN (1) CN113836669B (en)

Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US5698796A (en) * 1995-06-05 1997-12-16 Mitsubishi Denki Kabushiki Kaisha Belt tension measuring apparatus
CN102107769A (en) * 2011-03-29 2011-06-29 北京奕康拓科技发展有限责任公司 Rubber belt conveyor and method and device for controlling tensioning system thereof
CN104077445A (en) * 2014-07-01 2014-10-01 北京航空航天大学 Statistical analysis method of accelerated life tests based on fuzzy theory
CN107798191A (en) * 2017-10-26 2018-03-13 青岛科技大学 A kind of 8M arc tooth synchronous belts pitch based on finite element and Tooth Form Optimizition method
CN109211455A (en) * 2017-11-22 2019-01-15 中国航空工业集团公司北京航空精密机械研究所 A kind of measurement method, system and the equipment of synchronous belt tensile force

Family Cites Families (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
FR2827042B1 (en) * 2001-07-06 2003-10-03 Renault METHOD FOR EVALUATING THE REMAINING LIFE OF A TRANSMISSION BELT, AND ITS IMPLEMENTING DEVICE
US10591044B2 (en) * 2016-11-01 2020-03-17 Thermo King Corporation Systems and methods for monitoring belt tension and determining belt lifespan in a transport refrigeration unit
CN110020451A (en) * 2017-12-26 2019-07-16 新疆金风科技股份有限公司 A kind of residual Life Calculation method and device of driving assembly transmission belt
CA3111529A1 (en) * 2018-09-07 2020-03-12 Bombardier Recreational Products Inc. Method for estimating wear of a polymer drive belt of a continuously variable transmission

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US5698796A (en) * 1995-06-05 1997-12-16 Mitsubishi Denki Kabushiki Kaisha Belt tension measuring apparatus
CN102107769A (en) * 2011-03-29 2011-06-29 北京奕康拓科技发展有限责任公司 Rubber belt conveyor and method and device for controlling tensioning system thereof
CN104077445A (en) * 2014-07-01 2014-10-01 北京航空航天大学 Statistical analysis method of accelerated life tests based on fuzzy theory
CN107798191A (en) * 2017-10-26 2018-03-13 青岛科技大学 A kind of 8M arc tooth synchronous belts pitch based on finite element and Tooth Form Optimizition method
CN109211455A (en) * 2017-11-22 2019-01-15 中国航空工业集团公司北京航空精密机械研究所 A kind of measurement method, system and the equipment of synchronous belt tensile force

Also Published As

Publication number Publication date
CN113836669A (en) 2021-12-24

Similar Documents

Publication Publication Date Title
KR102488932B1 (en) Vibration-based elevator tension member wear and life monitoring system
CN104136357B (en) The progress monitoring method of the rope of lifting device, rope configuration, elevator and the rope for lifting device
CN108423503B (en) Method and lifting device
CN110208122B (en) Accelerated test method for wear resistance reliability of robot wire harness
CA2701979A1 (en) Method for determining fatigue damage in a power train of a wind turbine
CN110002321B (en) Method and device for monitoring the condition of a rope of a lifting device
CN104220869A (en) Calibration of wear detection system
US20100276230A1 (en) Adaptation of transport system parameters
US20140192837A1 (en) System and method for generating a combined model for isothermal and anisothermal fatigue life
JP6184617B2 (en) Rope deterioration detection device, elevator device equipped with rope deterioration detection device, and rope deterioration detection method
CN101294843A (en) Method for determining correction factor of belt balance real object simulating detection device
CN109748171A (en) The rope of elevator checks system
CN113836669B (en) Synchronous belt tensioning method of independent carrying system equipment considering reliability
US20100089163A1 (en) Method for optimally operating transmissions
Dalgarno et al. Synchronous belt materials and belt life correlation
CN109580474B (en) Test device and estimation method for friction coefficient of steel wire rope
MASCENIK et al. INNOVATIVE BROAD-SPECTRUM TESTING AND MONITORING OF BELT TRANSMISSIONS.
Stojanovic et al. Statistical analysis of roughness timing belt in operation using full factorial methods
CN114812911A (en) Fastener torque evaluation method and system
Mascenik et al. Experimental determination of the belt transmission slip
SE518436C2 (en) Method for determining the axial force of a threaded fastener when tightening over the tension limit
Stojanovic et al. Analysis of tribological processes at timing belt's tooth flank
CN102132067A (en) V-belt for transmitting high load
KR20020028246A (en) Method for determining vibration qualification level
RU2395062C1 (en) Information support method for vehicle loading process and vehicle for realising said method

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant