Engineering Transactions, 12, 3, pp. 447-453, 1964

Proces Przejściowy w Hydraulicznym Układzie Nieliniowym

S. Bednarz
Akademia Górniczo-Hutnicza w Krakowie

S. Kasprzyk
Akademia Górniczo-Hutnicza w Krakowie

This paper contains an analysis of the transition process of a servo as described by the differential equation
x ̈+a_1 x ̇+b_1 x- c_1 √(d_1-x ̇ )=0,
where a1, b1, c1, d1 are constants.
The dependency of the transitory process on the parameters of the system are determined by means of a topologic method in the phase plane. Equations are obtained interrelating the parameters in the case where the system is stable and the conditions to be satisfied if no oscillation is to take place.

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Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


[in Russian]

J. C. GILLE, M. J. PELEGRIN and P. DECAULNE, Feedback Control Systems, London 1959 r.

W. BOGUSZ, Determination of stability regions of dynamic non-linear systems, Arch. Mech. Stos., 6, 11 (1959).