Chapter 10.1 Introduction
Fig. 10-1.
Double inertial unit

Chapter 10.2 Potentiometer as x(t) and bargraf  as y(t)
Call Desktop/PID/01_podstawowe_człony_dynamiczne/05_dwuinercyjny/01_2_inercyjny_bargraf.zcos
Fig. 10-2
Double inertial unit as 2 serial connected  inertial units.
Click “Start”
Rys. 10-3
Swing the slider up to +1. The signal x(t) is a step type now. You observe that the initial speed isn’t  maximal as in the inertial unit!
Swing the slider up to +1 once more and swing the slider down to 1 when y(t) speed is maximal. The signal y(t) is growing durig a short time even x(t)=-1! It’s like in the real boiler. The temperature is growing durig a short time when the input power is off!
Observe the digital meters. The y1(t) signal is anticipating y2(t) signal always.

Chapter 10.3 Signal x(t)step type and   as oscilloscope
Call Desktop/PID/01_podstawowe_człony_dynamiczne/05_dwuinercyjny/02_2_inercyjny_skok_oscyloskop.zcos
Fig. 10-4
Click “Start”
Rys. 10-5
Signal  y1(t) after the first inertion clearly puts  output y(t) ahead. The y(t) speed is maximal at near 6 sec, and not at the 3 sec as in the inertial unit.

Chapter 10.4 Signal x(t) single rectangular pulse
Call Desktop/PID/01_podstawowe_człony_dynamiczne/05_dwuinercyjny/03_2_nercyjny_impuls_prost_oscyloskop.zcos

Fig. 10-6
Rys. 10-7
Signal y(t) is growing at time 8…8.7 sec. The output y(t) is growing, though x(t)=0! There is y1(t)>y(t) at this time and that’s the reason of this phenomenon.

Chapter 10.5 Mutiinertial unit
See at Fig. 10-1. The denominator has  2 factors and this is double inertial unit.
factors–> 3-inertial unit
factors–> 4-inertial unit

Many factors–> multi-inertial unit
Many objects , especially in the chemical industry are multi-inertial units.

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