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Report of the Second Piloted Aircraft Flight Control System - Acgsc.org

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INTRODUCTION<br />

PARAMETERS FOR THE DESIGN OF HIGH- SPEED<br />

HYDRAULIC SERVOMOTORS<br />

by HAROLD GOLD<br />

EDWARD W. OTTO<br />

VICTOR L. RANSOM<br />

<strong>of</strong><br />

National Advisory Committee for Aeronautics<br />

Lewis <strong>Flight</strong> Propulsion Laboratory<br />

Cleveland, 0.<br />

The servomotor dealt Kith in this paper is a power amplifying,<br />

positioning device <strong>of</strong> <strong>the</strong> type used in such applicatione as control<br />

valve positioners, flight controls and power steering devices. The<br />

hydraulic servomotor as a device has been known for approximately one<br />

hundred years. Its application to high speed machinery, however, appears<br />

to be relatively recent. There is consequently very little published<br />

literature on <strong>the</strong> dynamics <strong>of</strong> *is servomotor in spite <strong>of</strong> its long history.<br />

Never<strong>the</strong>less, when properly designed, <strong>the</strong> hydraulic servomotor is<br />

particularly suited for high speed service because <strong>of</strong> <strong>the</strong> extremely high<br />

force-mass ratios that can be obtained and because <strong>the</strong> device inherently<br />

is heavily damped.<br />

This paper is based on an experimental and analytical study <strong>of</strong> <strong>the</strong><br />

dynemics <strong>of</strong> <strong>the</strong> hydraulic servomotor recently completed by <strong>the</strong> authors<br />

at Lewis laboratory and soon to be published by <strong>the</strong> NACA (reference 1)<br />

The results <strong>of</strong> this study have shown that although <strong>the</strong> response <strong>of</strong> <strong>the</strong><br />

servomotor is essentially nonlinear and discontinuous, <strong>the</strong> response may<br />

be closely approximated with relatively simple linear equations. The<br />

present paper presents data demonstrating <strong>the</strong> nonlinear, discontinuous<br />

nature <strong>of</strong> <strong>the</strong> dynamic response <strong>of</strong> <strong>the</strong> servomotor and inqludes a derivation<br />

<strong>of</strong> <strong>the</strong> baeic analytical expressions for describing <strong>the</strong> response.<br />

The derivations wfiieh are presented in <strong>the</strong> "Analysis" section <strong>of</strong> this<br />

paper are essentially an abstract <strong>of</strong> <strong>the</strong> detailed derivations given in<br />

reference 1.<br />

The derived analytical expressions are summarized in <strong>the</strong> form <strong>of</strong><br />

charts. By means <strong>of</strong> <strong>the</strong>se charts <strong>the</strong> rational design <strong>of</strong> <strong>the</strong> servomotor<br />

to meet specifications on ei<strong>the</strong>r <strong>the</strong> transient or <strong>the</strong> frequency response<br />

characteristics is made possible.<br />

DEFINITIONS AFSD IKMT& ASSUMET'IONS<br />

Straight line servomotor. - The elements <strong>of</strong> <strong>the</strong> straight line<br />

hydraulic servomotor are shown schematically in f imre 1. In <strong>the</strong><br />

nkutral position, <strong>the</strong> spool member <strong>of</strong> <strong>the</strong> pilot valve closes <strong>the</strong> paesages

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