TY - JOUR
T1 - Chaos in a hydraulic control valve
AU - Hayashi, S.
AU - Hayase, T.
AU - Kurahashi, T.
N1 - Funding Information:
Support of this research was provided by Grant-in-Aid for Scientific Research of the Ministry of Education, Science and Culture.
PY - 1997/8
Y1 - 1997/8
N2 - In this paper we have studied the instability and chaos occurring in a pilot-type poppet valve circuit. The system consists of a poppet valve, an upstream plenum chamber, a supply pipeline and an orifice inserted between the pelnum and the pipeline. Although the poppet valve rests on the seat stably for a supply pressure lower than the cracking pressure, the circuit becomes unstable for an initial disturbance beyond a critical value and develops a self-excited vibration. In this unstable region, chaotic vibration appears at the period-doubling bifurcation. We have investigated the stability of the circuit and the chaotic phenomenon numerically, and elucidated it by power spectra, a bifurcation diagram and Lyapunov exponent calculations, showing that the phenomenon follows the Feigenbaum route to chaos.
AB - In this paper we have studied the instability and chaos occurring in a pilot-type poppet valve circuit. The system consists of a poppet valve, an upstream plenum chamber, a supply pipeline and an orifice inserted between the pelnum and the pipeline. Although the poppet valve rests on the seat stably for a supply pressure lower than the cracking pressure, the circuit becomes unstable for an initial disturbance beyond a critical value and develops a self-excited vibration. In this unstable region, chaotic vibration appears at the period-doubling bifurcation. We have investigated the stability of the circuit and the chaotic phenomenon numerically, and elucidated it by power spectra, a bifurcation diagram and Lyapunov exponent calculations, showing that the phenomenon follows the Feigenbaum route to chaos.
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U2 - 10.1006/jfls.1997.0096
DO - 10.1006/jfls.1997.0096
M3 - Article
AN - SCOPUS:0000620838
VL - 11
SP - 693
EP - 716
JO - Journal of Fluids and Structures
JF - Journal of Fluids and Structures
SN - 0889-9746
IS - 6
ER -