Report of the Second Piloted Aircraft Flight Control System - Acgsc.org
Report of the Second Piloted Aircraft Flight Control System - Acgsc.org
Report of the Second Piloted Aircraft Flight Control System - Acgsc.org
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With <strong>the</strong>ae substitutions into equation (7) <strong>the</strong> dlffemntial equation8<br />
for <strong>the</strong> systaa becorn,<br />
Tho solution <strong>of</strong> <strong>the</strong>se equrtions provldes <strong>the</strong> transfer -tion<br />
<strong>the</strong> syrtm in operator fonn<br />
<strong>of</strong><br />
An examhatian <strong>of</strong> this characteristic equation by mane <strong>of</strong> Routb<br />
crit8rion, and by assuming tint aerodJmrwic damping is saw<br />
although it t.ds to etabflise th syrtenn, it can be sham thnt<br />
<strong>the</strong> stability <strong>of</strong> th system ia depedent upon <strong>the</strong> 'Chponhation<br />
FautoP. The factor ia defined as<br />
for <strong>the</strong> eystem being analysed. For <strong>the</strong> systcrar to be stable <strong>the</strong><br />
value <strong>of</strong> Cf muet be greater than 1, Neutral stability is obtained<br />
when Cf equal 1,<br />
By proper selection <strong>of</strong> linkage ratio8 <strong>the</strong> valw <strong>of</strong> Cf can, <strong>of</strong> course,<br />
be varied. For <strong>the</strong> epecial case <strong>of</strong> Cf equal to 1 tbm wlll be sero<br />
deflection <strong>of</strong> control valve slide mlativm to <strong>the</strong> slem for any<br />
dieturbance <strong>of</strong> <strong>the</strong> eystem. If Cf is leer thn 1, <strong>the</strong> control mlva<br />
slide movement vill be in <strong>the</strong> direction to oppore <strong>the</strong> oxt.mrl<br />
dieturbance, adding energy to <strong>the</strong> system ond tending to destabilise<br />
<strong>the</strong> -ah. This approaches <strong>the</strong> uncompensated -tan Mch hrs Cf<br />
eqd to tern. A linkage ratio resulting in Cf baing greator thn 1<br />
rill cause <strong>the</strong> control valve to mon in a direction not opposing<br />
<strong>the</strong> disturbance. This ixxlicater a 1088 <strong>of</strong> onrrgy fian <strong>the</strong> ayetom and