JP2016017902A - Method, device, and program of translation and design of lifetime test - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide a device, method, and program for performing a testing of significant difference of two-level estimated lifetimes with a simple formula, easily, accurately and quickly.SOLUTION: Provided are a device, method, and program for translation of a lifetime test for determining whether or not there is significant difference in two-level estimated lifetimes. The device comprises approximate formula setting means 11 which sets predetermined functions of a predetermined approximate formula L=(e,N,C) that determines a relationship of needed lifetime difference Lbeing lifetime difference needed for determining that there is significant difference in the two-level estimated lifetimes, a Weibull slope e, a number of tests N, and a confidence level C at a predetermined percentage point n%. The device comprises needed lifetime difference calculation means 9 for determining the needed lifetime difference Lby substituting the Weibull slope e, the number of tests N, and the confidence level C into the approximate formula. The device further comprises significant difference presence determination means 10 for comparing the needed lifetime difference Land the two-level estimated lifetime difference to determine presence/absence of significant difference.SELECTED DRAWING: Figure 10

Description

  The present invention relates to a method, apparatus, program, and the lifespan for determining whether or not there is a significant difference from a test result in a life test of a test object comprising a mechanical part such as a bearing or a test piece thereof. The present invention relates to a method, an apparatus, and a program for designing a required number of tests when performing a test.

Conventionally, the experienced life test has been conducted by experienced experts, and it is considered that he was able to make a empirical and reliable judgment on the design of the life test and the interpretation of the life test results to determine the test conditions and number of tests.
The details of what is currently determined empirically in the life test are shown in Table 1.

  In addition, what uses Weibull distribution for the lifetime judgment of a machine component is proposed by various patent documents and nonpatent literature.

Conventionally, as shown in detail in Table 1, (1) Setting the number of tests necessary for the life test, (2) Setting the censoring time in the censoring test, (3) Interpreting the test results (judging significant differences), etc. The expert has gone empirically. However, how many test pieces are prepared, and how much life difference there is, and how much life difference can be judged, life guide design guidelines for life test, and how long L ₁₀ (if censored time is) L ₅₀ ) The point is that the interpretation of the life test results, which can guarantee the life, or how much life difference can be used to judge the life difference, can not be determined without consulting the expert each time. It is a problem. In addition, these are often difficult to judge even by experts in life tests, and it may be difficult for engineers with little experience in life tests to design life tests and interpret life test results. It is done.

In accelerated testing, the number of tests must be designed before testing. In the accelerated test, the greater the number of tests, the higher the reliability of the calculated life (high reliability here means that the variation in the life is small), but the number of test machines that can be used, Since the test object extracted from the lot is damaged, the number of tests cannot be increased without limit. What is important when determining the number of tests in the accelerated test is how much the test number is increased and how reliable the calculated life is obtained.
As described above, conventionally, an expert has empirically designed to determine the number of tests, and it took a long time to determine the number of tests that can ensure reliability.

The accelerated test is a test in which the life is calculated from the failure time as described above, and the superiority or inferiority of the performance is determined from the calculated life. There are many situations where you want to see if there is a difference.
Conventionally, the significant difference determination of the calculated life has been performed using the concept of confidence width. However, this determination method has several problems as follows.

  First, the reliability range has a problem that a significant difference in lifetime between two levels cannot be determined. The reason is that it is impossible to quantitatively determine how much the reliability range overlaps and there is a difference in life.

Leonard G. Johnson (LEONARD G. JOHNSON) is each Weibull slope, for each test number, has proposed a method of determining the significance of the average life and L ₁₀ life of between two levels). However, the method is not actually used at present. This is due to the fact that there is no tool to perform the dominant difference test in an easy way.

  In this way, life test design and interpretation of life test results require skilled personnel, are unable to make quick judgments, are not clearly defined, and are inadequate in terms of test result reliability. is there.

  To summarize the prior art, in the rolling fatigue life test (hereinafter referred to as the life test), there is a test for determining the superiority or inferiority of the life from the estimated life obtained by the Weibull plot. In the life test, the data follows a Weibull distribution rather than a normal distribution. Therefore, in the obtained significant difference test of the estimated life, it is not possible to apply a test of equal variance by F test or a test of average difference by t test.

JP 2006-040203 A JP 2002-277382 A JP 2005-226829 A JP 2006-310921 A

Author Makabe Satoshi, Introduction to Reliability Engineering 79, published in 1991

  Recently, a method has been developed that can perform a significant difference test of estimated life even on data according to the Weibull distribution (Patent Document 4). However, since these methods are calculations using random numbers, there is a problem that a program for performing random number calculations is required and the calculation time is long.

The present invention solves the above-described problems, and proposes an apparatus, method, and program for enabling anyone to easily and accurately determine whether there is a significant difference between two levels of estimated life by using a simple calculation formula. For the purpose.
Another object of the present invention is to propose an apparatus and method that allows anyone to easily and quickly design an appropriate number of tests.

The life test interpretation device of the present invention has a significant difference in two levels of estimated life determined as a result of a life test in which a test object consisting of a mechanical part such as a bearing or its test piece is kept in a predetermined environmental condition. In the life test interpretation device that determines whether there is
Necessary for determining that there is a significant difference between the two levels of estimated life at a given percentage point n% (percentage is 10 for 10% life, meaning the cumulative failure probability) A predetermined approximate expression that defines the relationship between the required life difference (magnification) L _nR that is the life difference, the Weibull slope e, the number of tests N, and the confidence level C;
Approximate expression setting means 11 in which a predetermined function of L _nR = (e, N, C) is set;
Input processing means 8 for storing inputs of the Weibull slope e, the number of tests N and the confidence level C in the life test, and the two levels of estimated life or the difference between the two levels of estimated life;
Substituting the Weibull slope e, the number of tests N, and the confidence level C stored in the input processing unit 8 into the approximate expression, the necessary life difference calculating unit 9 for obtaining the necessary life difference L _nR ,
The obtained required life difference L _nR is compared with the difference between the two levels of estimated life, and it is determined that there is a significant difference if the difference between the two levels of estimated life is equal to or greater than the necessary life difference L _nR. A significant difference presence / absence determining means 10;
The approximate expression is an approximate expression created using a regression equation that can calculate the necessary life difference L _nR for determining that there is a significant difference using a Weibull random number and approximate the result of the calculation.
It is characterized by that.
The “reliability level C” is an index representing the reliability of the determination result of the significant difference.

According to this configuration, the required life difference L _nR that is a life difference necessary to determine that there is a significant difference between the two levels of estimated life at a predetermined percentage point n%, the Weibull slope e, and the number of tests N And a predetermined approximate expression that defines the relationship with the confidence level C, and the necessary life difference L _nR is obtained by substituting the Weibull slope e, the number of tests N, and the confidence level C into this approximate expression. . The obtained required life difference L _nR is compared with the difference between the two levels of estimated life, and it is determined that there is a significant difference if the difference between the two levels of estimated life is equal to or greater than the necessary life difference L _nR. . Therefore, it is possible to determine whether there is a significant difference between the estimated lifespans of the two levels, using a simple calculation formula, easily by anyone who is not an expert, with high reliability and quickly.
The approximate expression is a regression equation that can calculate the necessary life difference L _nR for determining that there is a significant difference using a Weibull random number and approximate the result of the calculation, and obtain the required life difference L _nR with high accuracy. be able to. That is, the lifetime of mechanical parts such as bearings is assumed to follow the Weibull distribution. When a Weibull random number according to the Weibull distribution equivalent to the test object is generated, the generated random number corresponds to the lifetime when the test is actually performed. Therefore, the necessary life difference L _nR can be obtained by generating Weibull random numbers corresponding to the test number and generating the approximate expression based on the result.

この関係式（１），（２），（３）によると、２水準の推定寿命の有意差有無の判定を、乱数を用いた方法よりも簡単に行うことができる。 In the life test interpretation device of the present invention, the predetermined approximate expression may be any one of the following relational expressions (1), (2), and (3).

According to the relational expressions (1), (2), and (3), the presence / absence of a significant difference between the two levels of estimated lifetimes can be determined more easily than the method using random numbers.

The test number design apparatus according to the present invention has a significant difference between the two estimated lifespans obtained when a life test is performed in which a test object consisting of a mechanical part such as a bearing or a test piece thereof is kept in a predetermined environmental condition. In the test number design device for the life test to obtain the required number of tests that can obtain the result that can be determined that there is,
A required life difference L _nR that is a life difference required to determine that there is a significant difference between the two levels of estimated life at a predetermined percentage point n%, a Weibull slope e, a test number N, and a confidence level C A predetermined approximate expression that stores a predetermined relational expression that defines a relationship with
Approximate expression setting means 11 storing a predetermined function of L _nR = (e, N, C);
Input processing means 8 for storing inputs of the Weibull slope e, the confidence level C, and the required life difference L _{nR in} the life test;
Test number calculation means 13 for obtaining the test number N by substituting the necessary life difference L _nR , Weibull slope e, and confidence level C stored in the input processing means 8 into the approximate expression,
It is characterized by that.

According to this configuration, the required life difference L _nR that is a life difference necessary to determine that there is a significant difference between the two levels of estimated life at a predetermined percentage point n%, the Weibull slope e, and the number of tests N And a predetermined approximate expression storing a predetermined relational expression that defines the relationship with the confidence level C, and the Weibull slope e, the confidence level C, and the necessary life difference L _nR are substituted into this approximate expression. Obtain the number N of tests. Therefore, anyone can easily and quickly design an appropriate number of test pieces with high reliability.

この関係式（１），（２），（３）によると、適切な試験個数をより一層精度良く求めることができる。 In the inventive device, the predetermined approximate expression may be any one of the following relational expressions (1), (2), and (3).

According to the relational expressions (1), (2), and (3), an appropriate number of tests can be obtained with higher accuracy.

The interpretation method of the life test of the present invention has a significant difference in two levels of estimated life obtained as a result of a life test in which a test object consisting of a mechanical part such as a bearing or a test piece thereof is kept in a predetermined environmental condition. In the interpretation method of the life test to determine whether there is
A required life difference L _nR that is a life difference required to determine that there is a significant difference between the two levels of estimated life at a predetermined percentage point n%, a Weibull slope e, a test number N, and a confidence level C A predetermined approximation formula that defines the relationship between
An approximate expression preparation process for preparing a predetermined function of L _nR = (e, N, C);
Substituting Weibull slope e, test number N, and confidence level C into the approximate expression to calculate the required life difference L _nR (S2),
The obtained required life difference L _nR is compared with the difference between the two levels of estimated life, and it is determined that there is a significant difference if the difference between the two levels of estimated life is equal to or greater than the necessary life difference L _nR. Including a significant difference presence / absence determination step (S3),
The approximate expression is an approximate expression created using a regression equation that can calculate the necessary life difference L _nR for determining that there is a significant difference using a Weibull random number and approximate the result of the calculation.
It is characterized by that.

According to this method, the required life difference L _nR that is a life difference required to determine that there is a significant difference between the two levels of estimated life at a predetermined percentage point n%, the Weibull slope e, and the number of tests N And a predetermined approximate expression that defines the relationship with the confidence level C, and the necessary life difference L _nR is obtained by substituting the Weibull slope e, the number of tests N, and the confidence level C into this approximate expression. . The obtained required life difference L _nR is compared with the difference between the two levels of estimated life, and it is determined that there is a significant difference if the difference between the two levels of estimated life is equal to or greater than the necessary life difference L _nR. Therefore, anyone can easily and accurately perform a significant difference test of two levels of estimated life using a simple calculation formula.

この関係式（１），（２），（３）によると、２水準の推定寿命の有意差検定を、より一層精度良く行うことができる。 In the life test interpretation method of the present invention, the predetermined approximate expression may be any one of the following relational expressions (1), (2), and (3).

According to the relational expressions (1), (2), and (3), the significant difference test of the two levels of estimated lifetime can be performed with higher accuracy.

Another interpretation method of the life test of the present invention is a method including a process of creating an approximate expression, and a life in which a mechanical part such as a bearing or a test target product composed of the test piece is kept in a predetermined environmental condition. In the interpretation method of the life test for judging whether or not there is a significant difference between the two levels of estimated life obtained as a result of the test,
Use the Weibull random number to calculate the required life difference, which is the life difference necessary to determine that there is a significant difference, create an approximate expression using a regression equation that can approximate the result of this calculation, and use this approximate expression. It is then determined whether there is a significant difference between the two levels of estimated life.
According to this method, it is possible to accurately obtain the life difference necessary to determine that there is a significant difference between the two levels of estimated life obtained by the Weibull plot, and to determine whether there is a significant difference with high reliability. Yes.

The test number design method according to the present invention has a significant difference between the two estimated lifespans obtained when a life test is performed in which a mechanical object such as a bearing or a test target product composed of a test piece thereof is kept in a predetermined environmental condition. In the test number design method of the life test to obtain the required number of tests that can obtain the result that can be determined that there is,
A required life difference L _nR that is a life difference required to determine that there is a significant difference between the two levels of estimated life at a predetermined percentage point n%, a Weibull slope e, a test number N, and a confidence level C A predetermined approximation formula that defines the relationship between
Approximation formula preparation process (T1) for preparing a predetermined function of L _nR = (e, N, C);
A test number calculation step (T3) for obtaining the test number N by substituting the required life difference L _nR , Weibull slope e, and confidence level C into the approximate expression;
The approximate expression is an approximate expression created using a regression equation that can calculate the necessary life difference L _nR for determining that there is a significant difference using a Weibull random number and approximate the result of the calculation.
It is characterized by that.

According to this method, the required life difference L _nR that is a life difference required to determine that there is a significant difference between the two levels of estimated life at a predetermined percentage point n%, the Weibull slope e, and the number of tests N And a predetermined approximate expression that defines the relationship with the confidence level C, and by substituting the necessary life difference L _nR , Weibull slope e, and the confidence level C into this approximate expression, the number of tests N is obtained. Anyone can easily and quickly design the appropriate number of tests.

この関係式（１），（２），（３）によると、試験個数をより一層精度良く求めることができる。 In the test number design method of the present invention, the predetermined approximate expression may be any one of the following relational expressions (1), (2), and (3).

According to the relational expressions (1), (2), and (3), the number of tests can be obtained with higher accuracy.

前記寿命試験における前記ワイブルスロープｅ、試験個数Ｎ、および信頼水準Ｃ、並びに有意差を求めるパーセント点ｎ％の入力を記憶する入力処理手順Ｓ１と、
前記関係式（１），（２），（３）のうち、前記入力処理手順Ｓ１で記憶したパーセント点ｎ％の関係式を用い、この関係式に、前記入力処理手段Ｓ１で記憶されたワイブルスロープｅ、試験個数Ｎ、および信頼水準Ｃを代入することで、前記必要寿命差Ｌ_ｎＲを求める必要寿命差計算手順Ｓ２と、
この求められた必要寿命差Ｌ_ｎＲと入力処理手順で入力された前記２水準の推定寿命または前記２水準の推定寿命から求まる前記２水準の推定寿命の差とを比較して、前記２水準の推定寿命の差が前記必要寿命差Ｌ_ｎＲ以上であれば有意差があると判定する有意差有無判定手順Ｓ３とを含む。 The life test interpretation program 1 according to the present invention is significant in two levels of estimated life obtained as a result of a life test in which a test object consisting of a mechanical part such as a bearing or a test piece thereof is kept in a predetermined environmental condition. In the life test interpretation program that determines whether there is a difference,
A required life difference L _nR that is a life difference required to determine that there is a significant difference between the two levels of estimated life at a predetermined percentage point n%, a Weibull slope e, a test number N, and a confidence level C Approximation formula setting information 11A storing one of the following relational expressions (1), (2), (3) that define the relation with

An input processing procedure S1 for storing the input of the Weibull slope e, the number of tests N, the confidence level C, and the percentage point n% for obtaining a significant difference in the life test;
Of the relational expressions (1), (2) and (3), the relational expression of the percentage point n% stored in the input processing procedure S1 is used, and the Weibull stored in the input processing means S1 is used as this relational expression. Substituting the slope e, the test number N, and the confidence level C, the required life difference calculation procedure S2 for _{obtaining the} required life difference L _nR ,
The required life difference L _nR obtained is compared with the estimated life of the two levels input in the input processing procedure or the difference of the estimated life of the two levels obtained from the estimated life of the two levels. And a significant difference presence / absence determination step S3 for determining that there is a significant difference if the estimated life difference is equal to or greater than the required life difference _LnR .

According to the program 1 having this configuration, the required life difference L _nR that is a life difference required to determine that there is a significant difference between the two levels of estimated life at a predetermined percentage point n%, the Weibull slope e, A predetermined approximate expression that defines the relationship between the test number N and the confidence level C is obtained, and the necessary life difference L is calculated by substituting the Weibull slope e, the test number N, and the confidence level C into the approximate expression. _{Find nR} . The obtained required life difference L _nR is compared with the difference between the two levels of estimated life, and it is determined that there is a significant difference if the difference between the two levels of estimated life is equal to or greater than the necessary life difference L _nR. Therefore, anyone can easily and accurately perform a significant difference test of two levels of estimated life.

前記寿命試験における前記ワイブルスロープｅ、信頼水準Ｃ、必要寿命差Ｌ_ｎＲ、およびパーセント点ｎ％の入力を記憶する入力処理手順Ｔ１と、
前記関係式（１），（２），（３）のうちの、前記入力処理手段に記憶されたパーセント点ｎ％に該当する関係式を用い、前記入力処理手段に記憶された必要寿命差Ｌ_ｎＲ、ワイブルスロープｅ、および信頼水準Ｃを代入することで、前記試験個数Ｎを求める試験個数計算手順Ｔ３とを含む。 The test number design program 2 of the present invention is significant in two estimated lifespans obtained when performing a life test in which a test object consisting of a mechanical part such as a bearing or a test piece thereof is kept in a predetermined environmental condition. In the test number design program 2 of the life test for obtaining a necessary number of tests that can obtain a result that can be determined that there is a difference,
A required life difference L _nR that is a life difference required to determine that there is a significant difference between the two levels of estimated life at a predetermined percentage point n%, a Weibull slope e, a test number N, and a confidence level C Approximation formula setting information 11A storing one of the following relational expressions (1), (2), (3) that define the relation with

An input processing procedure T1 for storing inputs of the Weibull slope e, reliability level C, required life difference L _nR , and percentage point n% in the life test;
Of the relational expressions (1), (2), and (3), using the relational expression corresponding to the percent point n% stored in the input processing means, the required life difference L stored in the input processing means is used. a test number calculation procedure T3 for obtaining the test number N by substituting _nR , Weibull slope e, and confidence level C.

According to this method, the required life difference L _nR , which is a life difference necessary for determining that there is a significant difference between the two levels of estimated life at a predetermined percentage point%, the Weibull slope e, the number of tests N, Since a predetermined approximate expression that defines the relationship with the confidence level C is obtained and the required life difference L _nR , Weibull slope e and the confidence level C are substituted into this approximate expression, Anyone can easily and quickly design the correct number of tests.

According to the life test interpretation device, method, and program of the present invention, anyone can easily and accurately determine whether there is a significant difference between two levels of estimated life.
According to the test number design apparatus, method, and program for life test of the present invention, anyone can easily and quickly design an appropriate test number.

It is a general | schematic flowchart which shows the interpretation method of the life test which concerns on one Embodiment of this invention, and the test number design method. It is a flowchart which shows the approximate expression preparation process in the method. It is a graph of the result of having calculated the relationship between the Weibull slope e and the required life difference _LnR when the conditions of the test number N, the confidence level C, and the percentage point n are changed, using Weibull random numbers. It is a graph which shows the result (e = 1.1) which calculated the relationship between the test number N when changing the conditions of the reliability level C and each percentage point n, and the required life difference _LnR using a Weibull random number. It is a graph of the result of having calculated the relationship between the reliability level C and the required life difference _LnR when changing the conditions of the test number N and each percentage point n using Weibull random numbers. It is a correlation diagram of the required life difference calculated using the Weibull random number and the required life difference calculated by Equations (5) to (7). It is a flowchart of the interpretation program which concerns on the same embodiment. 4 is a flowchart of a test number design program according to the embodiment. It is explanatory drawing of the outline | summary of the interpretation and test number design apparatus which concern on the embodiment It is a block diagram of the conceptual structure of the interpretation and test number design apparatus.

A method, apparatus, and program for interpreting and designing a life test according to an embodiment of the present invention will be described with reference to the drawings.
The life test targeted in this embodiment is a test in which a test target product composed of a mechanical part such as a bearing or a test piece thereof is kept in a predetermined environmental condition, and is either the censoring test or the acceleration test. Also good.
This life test interpretation and design method includes an approximate expression creating process Q1 and an approximate expression using process Q2, as shown in FIG. The approximate expression utilization process Q2 includes a life test interpretation method and a life test number design method.

In the approximate expression creation process Q1, an approximate expression of a life difference necessary for determining that there is a significant difference between the two levels of estimated life obtained by the Weibull plot (hereinafter sometimes referred to as “necessary life difference”) is derived. To do. The approximate expression is derived in the following steps R1 to R3 shown in FIG.
In step R1, the required life difference is calculated under various conditions (such as the number of tests) using Weibull random numbers.
In step R2, the relationship between various conditions and the required life difference is considered, and the form of an expression suitable as an approximate expression is determined.
In step R3, the required life difference is subjected to regression analysis using the equation obtained in step R2, and an approximate equation is obtained.

Step R1 will be specifically described.
FIG. 3 shows the results of calculating the relationship between the Weibull slope e and the required life difference L _nR when the conditions of the test number N, the confidence level C, and the percentage point n are changed using Weibull random numbers. From the figure, it can be seen that the required life difference has a property of approaching 1 when the Weibull slope increases. In addition, the required life difference and the Weibull slope are exponentially decreased as e increases with 1 / e as an index, regardless of the number of tests N, the reliability level C, and the percentage points n. It has been found that the following relational expression holds.

FIG. 4 shows the results of calculating the relationship between the number of tests N and the required life difference L _nR when the conditions of the confidence level C and each percentage point n are changed using Weibull random numbers. From the figure, it can be seen that the required life difference has a property of approaching 1 as the number of tests increases. It was also found that the relationship between the number of test pieces and the required life difference can be approximated by the equation (5). The constants a, b, and c in equation (5) are constants that change depending on the confidence level C and each percent point nN.

FIG. 5 shows the result of calculating the relationship between the confidence level C and the required life difference L _nR when the conditions of the test number N and each percentage point n are changed, using Weibull random numbers. From the figure, it can be seen that the required life difference increases exponentially as the confidence level C approaches 100%. It was also found that the relationship between the number of test pieces and the required life difference can be approximated by the equation (6).

In Step R2, based on the result of Step R1, a relational expression of necessary life difference L _nR , Weibull slope e, number of tests N, and confidence level C that can satisfy all the relationships (4) to (6) is expressed as ( 7).

In step R3, the required life difference calculated using the Weibull random number was subjected to regression analysis using the equation (7). Note that the calculation changes Weibull slope e to 0.5, 1.0, 2, 3, 5, 8, 10 test pieces N to 3 to 50, and confidence level C to 80, 90, 92, 95, 98, 99 I went.
As a result of the regression analysis, equations (1) to (3) were obtained that can calculate the required life difference for each percentage point.

  Table 2 (Tables 2A and 2B) to Table 4 (Tables 4A and 4B) calculate the relationship between the number of tests and the required life difference using Weibull random numbers and Equations (1) to (3). Both results were shown. Tables 1, 2, and 3 show the calculation results for the percent point 10%, the percent point 50%, and the percent point 63.2%. Each table has three types of conditions with a confidence level of 80, 90, and 99%. The result of calculation is shown. Tables 2 to 4 were each divided into two tables. Although all the calculation results cannot be shown due to space limitations, the calculation results using Weibull random numbers and the calculation results obtained by the equations (1) to (3) are almost the same under most conditions. FIG. 6 shows a correlation diagram between the required life difference obtained by calculation using Weibull random numbers and the required life difference obtained by the equations (1) to (3). Even in the correlation diagram, it can be seen that the difference between the two calculation results is extremely small.

  Since the above approximate expressions (1) to (3) indicate the relationship between the required life difference and the number of tests when the confidence level and the value of the Weibull slope are set, they can be used when it is desired to know the standard of the number of tests. If the life comparison in a test with a Weibull slope variation of about 3 shows that there is a difference in life of more than twice, it is possible to judge that there is a significant difference at 90% confidence level. If there is an idea that “reliability is desired”, if 3 is input to the Weibull slope in the approximate expression, 90 is input to the reliability level, and 2 is input to the required life difference, the number of tests is uniquely determined.

Next, a life test interpretation method and test number design method, which are the use assumption Q2 of the approximate expression of FIG. 1, will be described together with a program and apparatus used for the implementation.
The life test interpretation method uses a life test interpretation program 1 shown in FIG. 7, and the life test test number design method uses a life test test number design program 2 shown in FIG. Both the life test interpretation program 1 and the test number design program 2 are programs that can be executed by a computer, and are put into an executable state by being installed in the storage means 5 of the computer 3 as shown in FIG. Remembered. The computer 3 is a personal computer or the like, has a central processing unit (CPU) 4 and storage means 5, and includes a main body having an OS (operation program) (not shown), an input device 6, and an output device 7. The storage means 5 includes a memory element and the like in addition to a hard disk and an SSD (solid state drive). The input device 6 includes devices that are operated and input by an operator such as a keyboard and a mouse, and devices that are input by communication. The output device 7 is a display device for displaying an image such as a liquid crystal display, a printer, a device for outputting by communication, or the like.

  FIG. 10 shows a conceptual configuration of a life test interpretation device / test number design device constructed by providing the computer 3 with the life test interpretation program 1 and the test number design program 2 executable. The interpreter / test number design apparatus shown in FIG. 3 can be switched between a mode functioning as a life test interpreting apparatus and a mode functioning as a life test test number design apparatus by a predetermined input from the input device 6. The

  In FIG. 7, the life test interpretation program 1 is a program for determining whether or not there is a significant difference between the two levels of estimated life obtained as a result of the life test. This includes approximate expression setting information 11A used in the necessary life difference calculation procedure S2, including a procedure S2, a significant difference presence / absence determination procedure S3, and a determination result output procedure S4. In other words, the approximate expression setting information 11A is a part of the necessary life difference calculation procedure S2.

The function achievement means for executing the input processing procedure S1, the required life difference calculation procedure S2, the significant difference presence / absence determination procedure S3, and the determination result output procedure S4 are the input processing means 8, the required life calculation means 9, This is a difference presence / absence determination means 10 and an output processing procedure 10.
Further, the interpretation method of the life test will be described. The process of preparing the approximate expression setting information 11A is an approximate expression preparation process, the process of executing the required life difference calculation procedure S2 is a required life difference calculation procedure, and a significant difference presence / absence determination procedure. The process of executing S3 is a significant difference presence / absence determination process.

The approximate expression setting information 11A in FIG. 7 includes a necessary life difference L _nR that is a life difference necessary to determine that there is a significant difference between the two levels of estimated life at a predetermined percentage point n%, and a Weibull slope e. And a predetermined approximate expression that defines the relationship between the number of tests N and the confidence level C,
This is information that defines a predetermined function of L _nR = (e, N, C). The means storing this approximate expression setting information 11A is the approximate expression design means 11 of FIG.

なお、前記所定の近似式は、前記式（１）〜（３）に限らず、有意差有りと判定するための前記必要寿命差Ｌ_ｎＲを、ワイブル乱数を用いて計算し、この計算の結果を近似できる回帰式を用いて作成される近似式であれば良い。 In the present embodiment, the predetermined approximate expression uses the expressions (1) to (3), and the approximate expression is shown again.

The predetermined approximate expression is not limited to the expressions (1) to (3), and the necessary life difference L _nR for determining that there is a significant difference is calculated using a Weibull random number. Any approximation formula created using a regression formula that can approximate

  In the input processing procedure S1, a screen that prompts the input of the Weibull slope e, the number of tests N, the confidence level C, and the percentage point n% for obtaining a significant difference in the life test is a screen that becomes the output device 7 (FIG. 10). Each value displayed according to the display on the display device is stored in the storage unit 8a. The means for outputting the screen for prompting input is the input prompting screen output unit 8b, and the means for storing each input value in the storage unit 8a is the input processing unit 8c. The input processing means 8 includes the storage unit 8a, the input prompt screen output unit 8b, and the input processing unit 8c. The screen for prompting the input is, for example, a character indicating an item such as Weibull slope e and an entry field or a selection field indicating a value such as Weibull slope e.

In the necessary life difference calculation procedure (S2) of FIG. 7, among the relational expressions (1), (2), (3), the relational expression (for example, the percentage point 10) of the percent point n% stored in the input processing procedure S1. %, The relational expression (1)) is used. By substituting the Weibull slope e, the test number N, and the confidence level C stored in the input processing means S1 into the relational expression, the required life difference L _{Find nR} .

In the significant difference presence / absence determination procedure S3, the difference between the obtained required life difference L _nR and the estimated life of the two levels input in the input processing procedure S1 or the estimated life of the two levels obtained from the estimated life of the two levels _Are compared, it is determined that there is a significant difference if the difference between the estimated lifespans of the two levels is not less than the required life difference _LnR , and it is determined that there is no significant difference if it is less than the required life difference _LnR .
In the determination result output procedure S4, the determination result having the significant difference or not having the significant difference is displayed on the screen display device serving as the output device 7 in FIG.

In this way, by calculating the necessary life difference L _nR using the approximate expressions (1) to (3), and comparing the obtained required life difference L _nR with the difference between the two levels of estimated life to be determined. Anyone can easily determine with high reliability whether there is a significant difference between the two levels of estimated lifetime.

The approximate equations (1) to (3) indicate the relationship between the required life difference L _nR and the test number N when the confidence level C and the Weibull slope e are set. It can also be used.
Therefore, in the apparatus of this embodiment, the same approximate expressions (1) to (3) are used, and both the determination of the presence / absence of a significant difference and the design of the number of tests N can be performed by mode switching.

  In FIG. 8, the test number design program 2 is a program for obtaining a necessary number N of tests for obtaining a result that can be determined that there is a significant difference between the obtained two levels of estimated life when performing a life test. A processing procedure T1, a test number calculation procedure T2, and a test number output procedure T3 are provided, and approximate expression setting information 11A is provided. In other words, the approximate expression setting information 11A is a part of the test number calculation procedure T2. The approximate expression setting information 11A is the same as the approximate expression setting information 11A in the life test interpretation program 1 (FIG. 7).

The function achievement means for executing the input processing procedure T1, the test number calculation procedure T2, and the test number output procedure T3 are the input processing means 8, the test number calculation means 13, and the output processing means 10 shown in FIG. The input processing means 8 and the output processing means 10 and the approximate expression setting means 11 shown in the figure are used for both the execution of the life test interpretation program 1 and the test number design program 2.
The life test design method will be described. The process of preparing the approximate expression setting information 11A is an approximate expression preparation process, and the process of executing the test number calculation procedure T2 is a test number calculation process.

In FIG. 8, the input processing procedure T3 is a screen display that serves as an output device 7 (FIG. 10) for prompting input of the Weibull slope e, reliability level C, required life difference L _nR , and percentage point n% in the life test. Each value displayed on the apparatus and input in accordance with this is stored in the storage unit 8a.

In the test number calculation procedure T2, among the relational expressions (1), (2), and (3), the relational expression corresponding to the percentage point n% stored in the input processing procedure T1 is used, and the input processing procedure is used. By substituting the necessary life difference L _nR , Weibull slope e, and confidence level C stored in T1, the test number N is obtained.

In the test number output procedure T3, the test number calculated in this way is displayed on the screen display device serving as the output device 7 in FIG.
In this way, anyone can easily know the test number N of the life test.

DESCRIPTION OF SYMBOLS 1 ... Interpretation program 2 ... Test number design program 3 ... Computer 6 ... Input device 7 ... Output device 8 ... Input processing means 9 ... Necessary life calculation means 10 ... Significance difference existence judgment means 11 ... Approximation expression setting means 11A ... Approximation expression setting Information 12 ... Output processing means 13 ... Test number calculation means

Claims (11)

Life test to determine whether there is a significant difference between the two levels of estimated life obtained as a result of a life test that keeps a test object consisting of a mechanical part such as a bearing or its test piece under predetermined environmental conditions In the interpretation device of
A required life difference L _nR that is a life difference required to determine that there is a significant difference between the two levels of estimated life at a predetermined percentage point n%, a Weibull slope e, a test number N, and a confidence level C A predetermined approximation formula that defines the relationship between
Approximation formula setting means for setting a predetermined function of L _nR = (e, N, C);
Input processing means for storing inputs of the Weibull slope e, the number of tests N, and the confidence level C in the life test, and the two levels of estimated life or the difference between the two levels of estimated life;
The required life difference calculating means for obtaining the required life difference L _nR by substituting the Weibull slope e, the test number N, and the confidence level C stored in the input processing means into the approximate expression, compared required lifetime difference L _nR and difference between the two levels of the estimated life, the significant difference whether the difference between the two levels of life expectancy is determined that there is a significant difference if the required lifetime difference L _nR above determination Means and
The approximate expression is an approximate expression created using a regression equation that can calculate the necessary life difference L _nR for determining that there is a significant difference using a Weibull random number and approximate the result of the calculation.
A life test interpretation device characterized by that. Life test to determine whether there is a significant difference between the two levels of estimated life obtained as a result of a life test that keeps a test object consisting of a mechanical part such as a bearing or its test piece under predetermined environmental conditions In the interpretation device of
A required life difference L _nR that is a life difference required to determine that there is a significant difference between the two levels of estimated life at a predetermined percentage point n%, a Weibull slope e, a test number N, and a confidence level C Approximation formula setting means storing one of the following relational expressions (1), (2), (3) that define the relation with:

Input processing means for storing inputs of the Weibull slope e, the number of tests N, the confidence level C, the percentage point n%, and the estimated life of the two levels or the difference between the estimated lives of the two levels in the life test;
Of the relational expressions (1), (2), and (3), the relational expression of the corresponding percentage point n% is used. In this relational expression, the Weibull slope e stored in the input processing means, the number of tests N, And a required life difference calculating means for obtaining the required life difference L _nR by substituting the confidence level C, and
The obtained required life difference L _nR is compared with the difference between the two levels of estimated life, and it is determined that there is a significant difference if the difference between the two levels of estimated life is equal to or greater than the necessary life difference L _nR. A significant difference presence / absence judging means,
A life test interpretation device characterized by that. When a life test is performed in which a test object consisting of a mechanical part such as a bearing or its test piece is kept in a predetermined environmental condition, a result can be obtained that can be determined that there is a significant difference between the obtained two estimated lifespans. In the test number design device for the life test to obtain the required number of tests,
A required life difference L _nR that is a life difference required to determine that there is a significant difference between the two levels of estimated life at a predetermined percentage point n%, a Weibull slope e, a test number N, and a confidence level C A predetermined approximate expression that stores a predetermined relational expression that defines a relationship with
An approximate expression setting means storing a predetermined function of L _nR = (e, N, C);
Input processing means for storing inputs of the Weibull slope e, the confidence level C, and the required life difference L _{nR in} the life test;
Test number calculation means for obtaining the test number N by substituting the required life difference L _nR , Weibull slope e, and confidence level C stored in the input processing means into the approximate expression,
The approximate expression is an approximate expression created using a regression equation that can calculate the necessary life difference L _nR for determining that there is a significant difference using a Weibull random number and approximate the result of the calculation.
Test number design device for life test characterized by this. When a life test is performed in which a test object consisting of a mechanical part such as a bearing or its test piece is kept in a predetermined environmental condition, a result can be obtained that can be determined that there is a significant difference between the obtained two estimated lifespans. In the test number design device for the life test to obtain the required number of tests,
A required life difference L _nR that is a life difference required to determine that there is a significant difference between the two levels of estimated life at a predetermined percentage point n%, a Weibull slope e, a test number N, and a confidence level C Approximation formula setting means storing one of the following relational expressions (1), (2), (3) that define the relation with:

Input processing means for storing inputs of the Weibull slope e, reliability level C, required life difference L _nR , and percentage point n% in the life test;
Of the relational expressions (1), (2), and (3), using the relational expression corresponding to the percent point n% stored in the input processing means, the required life difference L stored in the input processing means is used. a test number calculating means for obtaining the test number N by substituting _nR , Weibull slope e, and confidence level C;
Test number design device for life test characterized by this. Life test to determine whether there is a significant difference between the two levels of estimated life obtained as a result of a life test that keeps a test object consisting of a mechanical part such as a bearing or its test piece under predetermined environmental conditions In the interpretation method of
A required life difference L _nR that is a life difference required to determine that there is a significant difference between the two levels of estimated life at a predetermined percentage point n%, a Weibull slope e, a test number N, and a confidence level C A predetermined approximation formula that defines the relationship between
An approximate expression preparation process for preparing a predetermined function of L _nR = (e, N, C);
Substituting the Weibull slope e, the number of tests N, and the confidence level C into the approximate expression, a required life difference calculation process for _{obtaining the} required life difference L _nR ,
The obtained required life difference L _nR is compared with the difference between the two levels of estimated life, and it is determined that there is a significant difference if the difference between the two levels of estimated life is equal to or greater than the necessary life difference L _nR. Including a significant difference determination process,
The approximate expression is an approximate expression created using a regression equation that can calculate the necessary life difference L _nR for determining that there is a significant difference using a Weibull random number and approximate the result of the calculation.
The interpretation method of the life test characterized by this. Life test to determine whether there is a significant difference between the two levels of estimated life obtained as a result of a life test that keeps a test object consisting of a mechanical part such as a bearing or its test piece under predetermined environmental conditions In the interpretation method of
A required life difference L _nR that is a life difference required to determine that there is a significant difference between the two levels of estimated life at a predetermined percentage point n%, a Weibull slope e, a test number N, and a confidence level C An approximate expression preparation process for preparing any one of the following relational expressions (1), (2), (3) that define the relation with:

Substituting the Weibull slope e, the number of tests N, and the confidence level C into the approximate expression, a required life difference calculation process for _{obtaining the} required life difference L _nR ,
The obtained required life difference L _nR is compared with the difference between the two levels of estimated life, and it is determined that there is a significant difference if the difference between the two levels of estimated life is equal to or greater than the necessary life difference L _nR. Including a significant difference determination process,
The approximate expression is an approximate expression created using a regression equation that can calculate the necessary life difference for determining that there is a significant difference using a Weibull random number, and approximate the result of the calculation,
The interpretation method of the life test characterized by this. Life test to determine whether there is a significant difference between the two levels of estimated life obtained as a result of a life test that keeps a test object consisting of a mechanical part such as a bearing or its test piece under predetermined environmental conditions In the interpretation method of
Use the Weibull random number to calculate the required life difference, which is the life difference necessary to determine that there is a significant difference, create an approximate expression using a regression equation that can approximate the result of this calculation, and use this approximate expression. A method for interpreting a life test for determining whether there is a significant difference between the two levels of estimated life. When a life test is performed in which a test object consisting of a mechanical part such as a bearing or its test piece is kept in a predetermined environmental condition, a result can be obtained that can be determined that there is a significant difference between the obtained two estimated lifespans. In the test number design method of the life test to obtain the required number of tests,
A required life difference L _nR that is a life difference required to determine that there is a significant difference between the two levels of estimated life at a predetermined percentage point n%, a Weibull slope e, a test number N, and a confidence level C A predetermined approximation formula that defines the relationship between
An approximate expression preparation process for preparing a predetermined function of L _nR = (e, N, C);
A test number calculation process for obtaining the test number N by substituting the necessary life difference L _nR , Weibull slope e, and confidence level C into the approximate expression,
The approximate expression is an approximate expression created using a regression equation that can calculate the necessary life difference L _nR for determining that there is a significant difference using a Weibull random number and approximate the result of the calculation.
The test number design method of the life test characterized by this. When a life test is performed in which a test object consisting of a mechanical part such as a bearing or its test piece is kept in a predetermined environmental condition, a result can be obtained that can be determined that there is a significant difference between the obtained two estimated lifespans. In the test number design method of the life test to obtain the required number of tests,
A required life difference L _nR that is a life difference required to determine that there is a significant difference between the two levels of estimated life at a predetermined percentage point n%, a Weibull slope e, a test number N, and a confidence level C Using one of the following relational expressions (1), (2), (3)

By substituting the required life difference L _nR , Weibull slope e, and confidence level C into the approximate expression, the number of tests N is obtained.
The test number design method of the life test characterized by this. Is there a significant difference between the two levels of estimated life that can be executed by a computer and that is obtained as a result of a life test in which a test object consisting of a mechanical part such as a bearing or its test piece is kept in a predetermined environmental condition? In the life test interpretation program to determine whether or not
A required life difference L _nR that is a life difference required to determine that there is a significant difference between the two levels of estimated life at a predetermined percentage point n%, a Weibull slope e, a test number N, and a confidence level C Approximation formula setting information storing one of the following relational expressions (1), (2), (3) that defines the relation with

An input processing procedure for storing the input of the Weibull slope e, the number of tests N, the confidence level C, and the percentage point n% for obtaining a significant difference in the life test;
Of the relational expressions (1), (2), and (3), the relational expression of the percentage point n% stored in the input processing procedure is used, and the Weibull slope e stored in the input processing means is used as this relational expression. Substituting the test number N and the confidence level C, the required life difference calculation procedure for _{obtaining the} required life difference L _nR ,
The required life difference L _nR obtained is compared with the estimated life of the two levels input in the input processing procedure or the difference of the estimated life of the two levels obtained from the estimated life of the two levels. Including a significant difference presence / absence determination procedure for determining that there is a significant difference if the difference in estimated lifetime is equal to or greater than the required lifetime difference L _nR .
A life test program characterized by that. There is a significant difference between the two estimated lifespans that can be executed by a computer and when performing a life test that keeps a test object consisting of a mechanical part such as a bearing or its test piece under predetermined environmental conditions. In the test number design program for the life test to obtain the required number of tests that can be determined as
A required life difference L _nR that is a life difference required to determine that there is a significant difference between the two levels of estimated life at a predetermined percentage point n%, a Weibull slope e, a test number N, and a confidence level C Approximation formula setting information storing one of the following relational expressions (1), (2), (3) that defines the relation with

An input processing procedure for storing inputs of the Weibull slope e, the confidence level C, the required life difference _LnR , and the percentage point n% in the life test;
Of the relational expressions (1), (2), and (3), using the relational expression corresponding to the percent point n% stored in the input processing means, the required life difference L stored in the input processing means is used. a test number calculation procedure for obtaining the test number N by substituting _nR , Weibull slope e, and confidence level C.
A test number design program for life test characterized by

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