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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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For <strong>the</strong> case with Minite campressibility, <strong>the</strong> above open loap transfer<br />

functian became8<br />

Input motion is coupled to output motion only because <strong>of</strong> <strong>the</strong> riscons<br />

drag <strong>of</strong> <strong>the</strong> valve an <strong>the</strong> cylinder, The system is no longer a Gem<br />

position error device, Physically, <strong>the</strong> use <strong>of</strong> <strong>the</strong> relationship <strong>of</strong><br />

equation (30) appears when two hydraulic ayatans are connected in parallel,<br />

with <strong>the</strong> power to one system shut down, or on a single actuator installation<br />

with per <strong>of</strong>f, If <strong>the</strong>re is no viecaus friction caupllng between<br />

valve and cylinder, <strong>the</strong> transfer function beames zero, art <strong>the</strong>m is no<br />

motion trandtted fmm input to output,<br />

COUPLING SPRING -4 w - he situation occasio- mires<br />

where backlash occurs between <strong>the</strong> cylinder and <strong>the</strong> surface load. It is<br />

<strong>the</strong>n desirable to investigate <strong>the</strong> stability <strong>of</strong> <strong>the</strong> systaa within <strong>the</strong><br />

backlash region, though it must be remembered that stability inside <strong>the</strong><br />

backlash region does not necessarily rule out <strong>the</strong> possibility <strong>of</strong> a limit<br />

cycle occurring due primarily to <strong>the</strong> backlash,<br />

he open loop transfer function with .A =a <strong>the</strong>n becaer :<br />

which, when Cp = o reduces to

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