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On the best measurement scheme


Minimum error of measurement, which is the best measurement scheme for the problem. Expression programs in the best measurement. Consider only random error and systematic error of the measurement uncertain impact of the program (because the system has been set to eliminate the error correction method can be used.) To facilitate the analysis program to determine the best measurement of the basic principles of manipulation functions only discuss the error of indirect measurement of the smallest variety of the best ways to measure the program. Lu then measurement is measured by direct measurement of the amount of the question, with a certain amount of function of the other, according to the known function of the amount calculated from the measured. Ask the question, then the measurement error is a function of each measurement error directly, so this error as a function of error. In the indirect measurement, the main form of expression for the function: y =, (I,, Li ... ...) where XI,, x3 a direct measurement of each; y an indirect measurement. On the type of function is incremental: no = chime difference ... * + (1) in terms of increments. , Approximate instead of out. . d, shell functions available to the system q = If, as the error. + Bad + ... a + raise (2) (i = 1,2, ... ... n) type (2) function is called system error formula. Kids in a delicate directly measured value for each error transfer coefficient. From (2) can be drawn: (derivation omitted) i (3) where oT a function of the standard whole (also known as random error function formula): one of the direct measurement of the standard deviation. From (3) we can see that purports to minimum, the following aspects can be considered. An error formula to select the best function measurement in general to ask the local access number, the less the error term. The function of the error will be reduced, that is, the more direct measure of the number of small, functional errors will be reduced. So if in the indirect measurement equation can be expressed in different functions,[link widoczny dla zalogowanych], including direct measurements should select the smallest function formula. If a different function formula contains the same number of direct measurements of measurements should be selected the direct measurement error is smaller formula. * 35 * such as a box part of the axis measured from the L (see Figure 1), is shown in Figure 1, parts as an example to select the best measurement side lonely. According to the diagram,[link widoczny dla zalogowanych], measure from the L axis in three ways: ① Measuring two-axis diameter of dI, and the outer dimensions are I1, the functional is: L:, (Si, d.. D BP: Si a {a { d2 ② Measuring two-axis diameter dl, and also the size, its functional as: L:, (, d.. d BP: + {+ {if measured outside the South ③ size I 'and the size, its functional as :: Si,), namely: {. + {If known standard deviation of measurement were: q = 5 /. an, = 7 /. an, = 8, = lO Na from (3) can be obtained (calculation omitted) function of the standard deviation of three methods were: the first ==== 9.1 (Peng) The second hundred : = a a = 10.9 (coconut) third = and =: and = 6.4 (coconut) from the results seen. The third method of minimum error. This is because the third method of functional simple. 2 so that the error transfer coefficient equal to zero or error formula for the minimum we can see from the function. Subject the af = O,[link widoczny dla zalogowanych], or min,[link widoczny dla zalogowanych], the function error can be reduced accordingly. If 褰 = o, then the local error DE = Ka is also zero. That the error did not affect the function. If the difference is minimal (IBi] n), can reduce the error of the function Di. According to this principle. Practice some measure, though not so bad = o, but pointed out the tendency to achieve the best measurement program. bamboo mat on the next page 34 f) the error caused by ± O. 78 gal n. _ '. = ± ~,[link widoczny dla zalogowanych], 1.742 +1.22 +0.732 +0. Shovel = ± 2.39m +0.7 pan angle error of the value of a: cone angle of a device is usually measured in sine, tidal volume of cone angle error is less than ±. Converted to radians is: ± 0.24xl0 a '. The known data values into (2). Have d%: ± (1.1 ha xO. Mediums + (Ix2., + (I. ~ 0xl Kuang x0.24x ・ 36 ・: ± 2.8 Ⅲ 3 that is directly above the zero-error analysis method. If K with the calculated value of the amount of thistle group to block the zero on the measuring machine, such as the inverted x = l85.347mm, take the amount of 18 ~ mzu block measuring machine's zero position, when the error of measured values K The measurement error is reduced to ± 1.0rmz. so that △ value decreased to ± 2. Sapporo m or so.

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