NF FRA5087, Instruction Manual

Page: 102 / 194

4.11 Calculation functions
FRA5087
4-28
4.11.2 Differentiation and integration
Operations of differentiation, second order differentiation, integration and double integration in
the time domain of measurement data are available.
You can use these operations to convert the velocity data into the acceleration or position data.
[DATA TAG]
TAG0～6
(measurement result or
calculation result)
[MODE]
×(ｊω) ：
differentiation
×(jω)
2
：
second order
differentiation
×(1/jω) ：
integration
×(1/jω)
2
：
double integration
＝
[ANSWER TAG]
TAG0～6
Fig. 4-19 Differentiation and integration functions
Differentiation and integration operations can be applied only to TAG data. The frequency of the
measurement data is applied to the calculation result.
Differentiation of the measurement data in the time domain corresponds to multiplication of j 
(=j2  f) by the measurement data in the frequency domain. In the same theory, the second order
differentiation in the time domain corresponds to multiplication of (j  )
2
by the data. In the
similar manner, integration and double integration (double integrals) of measurement data in the
time domain corresponds to division of the measurement data by j
 and (j  )
2
, respectively. You
can calculate higher order differentiation (higher order derivatives) and multiples of integration
(multiple integrals) by repeating operations of differentiation and integration, respectively.
Differentiation leads the phase by 90 degrees and integration lags the phase by 90 degrees. The
measurement results are always contained in Tag 1.
When you want to differentiate or integrate numerical values, apply operations of differentiation
and integration after producing the required DATA TAG (complex numbers can also be used)
through the use of the four rules of arithmetic functions.
Press the function key [START] to start calculation operations and to display the calculation result
in the “ANSWER TAG”.