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A method for calculating the storage life of inertial devices
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A technology of storage life and inertial devices, which is applied in the field of inertial instruments, can solve problems such as difficulty in conforming to monotonous changes of inertial devices, uncertainty in model selection, etc., and achieve the effects of improving accuracy, wide coverage, and wide application range
Active Publication Date: 2019-01-18
BEIJING INST OF AEROSPACE CONTROL DEVICES
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However, the Wiener process is suitable for thermal noise analysis of electronic components or devices at a constant temperature. When using this standard deviation function, the assumption of σX(0)=0 at zero time is not necessarily suitable for parameter changes of inertial devices
[0006]
In "AerospaceReliability Engineering Training Textbook" (China Aerospace Press), P207 gives a storage period evaluation method using quantitative data, which takes into account the change of parameters with storage time at the one-sided lower limit and one-sided upper limit respectively process, but the standard deviation is assumed to be a constant value in the calculation process, and it is difficult to meet the monotonous change of the inertial device standard deviation
[0007]
Therefore, there are uncertainties in model selection when evaluating actual storage life
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example 1
[0149] Example 1, the scale factor K of an accelerometer in service for 7 years 1 (belonging to parameter X) test data see figure 2 , the scaling factor K 1 Standard deviation σ of K1 For test data, see image 3 , it can be seen that the scaling factor K 1 and its standard deviation σ K1 Gradually grow larger over time. According to technical conditions, the scale factor K 1 The required value is 3000±40, the standard deviation σ K1 The required value of σ K1 σ = 1.11.
[0150] In judgment by K 1 When causing the storage life, it is necessary to separately adjust the K 1 and σ K1 for analysis.
[0151] Solving Equations Using Least Squares The specific steps are:
[0152] (1) The coefficients separated by the least square method are obviously incompatible requirements. Therefore, to reduce the order of the model, we have
[0153] (2) According to the least squares method for solve, there is When performing model testing, there is F=12.1389>F ...
example 2
[0162] Example 2, the zero-order item D of a certain gyroscope in service for 10 years 0 For test data, see Figure 5 , let its standard deviation σ D0 is a constant value, σ D0 =0.0273° / h; from Figure 5 It can be seen that D 0 Decreases with time, if close to the design requirement value w D =-0.7° / h, it is close to its storage life.
[0163] In judgment by D 0 When causing storage life, the specific steps are as follows:
[0164] (1) Take D 0 (t)=a+λt, using the least square method to solve, there are a=-0.1253, λ=-0.01265. When performing model testing, there is F=15.737>F 0.01 =11.3, therefore, the model is significant, and since it is a linear equation, all coefficients are significant.
[0165] (2) take Into the formula:
[0166]
[0167] Figure 6 is the zero-order item D of the gyroscope 0 Schematic representation of lifetime prediction.
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Abstract
The invention discloses a method for calculating the storage life of an inertial device, which comprises the following steps: a mean value sequence and a standard deviation sequence corresponding to atime sequence of measurement parameters are determined; The coefficients of variance model are identified according to the time series and standard deviation series, and the significance is analyzed;The coefficients of the linear model are identified according to the time series and the mean value series, and the significance analysis is carried out; According to the results of significance analysis, the storage life of inertial devices is calculated. The invention provides an expression mode for calculating the storage life of an inertial device and a reliability calculation formula thereof, and solves the problem of evaluating the storage life of the inertial device.
Description
technical field [0001] The invention belongs to the technical field of inertial instruments, in particular to a method for calculating the storage life of inertial devices. Background technique [0002] Inertial devices are high-reliability and long-life products. In addition to functional failure, the failure of their products is mainly manifested in the gradual degradation of performance parameters. After exceeding the required threshold, the life of the device is considered expired and needs to be decommissioned. The period of time from production delivery to the end of service of inertial components is the storage life. [0003] Due to the long storage life of inertial devices, it is generally required to exceed 20 years, which exceeds the current service time. In addition, the data accumulated at this stage has not yet reached the life of the product. Therefore, it is necessary to evaluate the life of inertial devices based on the storage data of existing service devi...
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