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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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C C U P m ZERO - (Bulk Modulus infinite,) For <strong>the</strong><br />

limit- case in which <strong>the</strong> qmpressibility <strong>of</strong> <strong>the</strong> fluid beomes vem<br />

mall, <strong>the</strong> laop transfer fuuction becanes:<br />

huad <strong>the</strong> neutral position, with 5 = 0<br />

, <strong>the</strong> open<br />

loop transfer fuuction reduces to a very simple expression.<br />

Equation (28) will be recognized as <strong>the</strong> conventional expression used in<br />

<strong>the</strong> analpis <strong>of</strong> -radio amplifiers when used with mechanisms b a a<br />

large lags at fmquancies mch lower than those <strong>of</strong> <strong>the</strong> wraulie amplifier.<br />

Epuation (28) is also recognized as that <strong>of</strong> perfect iategrator ad zem<br />

podtion error servo, The reason for this is, <strong>of</strong> course, tbat. in thir<br />

care <strong>the</strong>re are no spring or friction loads. If <strong>the</strong> l@raulic amplifier<br />

itself is ntable, thin approximation is an excellent one when <strong>the</strong> o<strong>the</strong>r<br />

elanants <strong>of</strong> a control loop ouch as an autopilot and airframe sene to<br />

lovrr <strong>the</strong> possible gain cmsaover frequency, & = cg /A . For<br />

une In such analpen, than, <strong>the</strong> hydraulic system is adequately dencrlbd<br />

am<br />

-<br />

The tima constant is capable <strong>of</strong> being made quite mil with<br />

proper derQn, down to <strong>the</strong> order <strong>of</strong> v100 second in <strong>the</strong> authorsf emprlmcen.<br />

C~~IBILITT INFINITE (~ullc Ibiulus zero:) If valve damping,<br />

Bw Tbetween <strong>the</strong> valve spool and <strong>the</strong> valve housing), is included an<br />

an extension to <strong>the</strong> simplified load systeu, <strong>the</strong> open loop transfer function,<br />

equation (25). can be- nbrmr to be

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