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Asymptotic analysis of self-excited and forced vibrations of a self-regulating pressure control valve

Schröders, Simon 1; Fidlin, Alexander 1
1 Institut für Technische Mechanik (ITM), Karlsruher Institut für Technologie (KIT)

Abstract:
Pressure vibrations in hydraulic systems are a widespread problem and can be caused by external excitation or self-exciting mechanisms. Although vibrations cannot be completely avoided in most cases, at least their frequencies must be known in order to prevent resonant excitation of adjacent components. While external excitation frequencies are known in most cases, the estimation of self-excited vibration amplitudes and frequencies is often difficult. Usually, numerical studies have to be executed in order to elaborate parameter influences, which is computationally expensive. The same holds true for the prediction of forced oscillation amplitudes. This contribution proposes asymptotic approximations of forced and self-excited oscillations in a simple hydraulic circuit consisting of a pump, an ideal consumer and a pressure control valve. Two excitation mechanisms of practical interest, namely pump pulsations (forced vibrations) and valve instability (self-excited vibrations), are analyzed. The system dynamics are described by a singularly perturbed third-order differential equation. By separating slow and fast variables in the system without external excitation, a first-order approximation of the slow manifold is computed. ... mehr


Verlagsausgabe §
DOI: 10.5445/IR/1000130293
Veröffentlicht am 08.03.2021
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Technische Mechanik (ITM)
Publikationstyp Zeitschriftenaufsatz
Publikationsmonat/-jahr 02.2021
Sprache Englisch
Identifikator ISSN: 0924-090X, 1573-269X
KITopen-ID: 1000130293
Erschienen in Nonlinear dynamics
Verlag Springer
Band 103
Heft 3
Seiten 2315–2327
Vorab online veröffentlicht am 05.02.2021
Schlagwörter Hydraulic pressure control valve, Singularly perturbed system, Non-smooth system, Averaging
Nachgewiesen in Web of Science
Scopus
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