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

In general, the value of Ks and Kf remain constant for a given
system. The value of c ad d are usually defined by the geametzy
of the mechanical input system and cannot be changed. By combining
these tema the Compensation Factor reduces to a conetu~times
the reaction compensation linkage ratio.
To obtain a stable system the value of Cf must be equal to ar
greater than 1. Actually the system becomes less unstable a d
inrprovement is obtained even for values of Cf less than ond
approaching 1.
The above derived term for the Compensation Factor and the
criteria for stability can be arrived at mathematically as is
ehm by the following analysis. The symbol deflnitioars are
included on page 12 and, refer to figure 5.
The differential and algebraic equations for %he sgstsm are written
as follaws:
Summation of forces on the output member
Sumfnation of forces on the reaction spstm
From the geametq of the linkage system
From the equation of continuity of hydraulic flew
- Yv K.4 A, (x, + x 'h)
Substituting equation (3) into equation (4)