Pressure-flow dynamics with semi-stable limit cycles in hydraulic cylinder circuits

Michael Ruderman, Stefan Kaltenbacher, Martin Horn

Research output: Chapter in Book/Report/Conference proceedingConference paperpeer-review


In hydraulic circuits of the standard fluid-power actuators and mechanisms, like the linear-stroke cylinders, some hydrodynamic effects are often neglected. It happens mainly due to their complexity and secondariness in comparison with the principal transient and steady-state behavior of the hydromechanical process variables, such as the differential pressure and relative displacement and its rate, in other words the piston stroke and velocity. However, a constrained motion of the cylinder piston can give rise to the back coupled excitation of the pressure-flow dynamics, especially upon mechanical impact at the cylinder limits. Following to that, semi-stable limit cycles can arise while the hydraulic cylinder remains under pressure without apparent displacement. This paper analyzes such back-coupled pressure-flow dynamics, derived from the partial differential momentum equation with involvement of Darcy-Weisbach hydraulic damping and continuity equation, out from which the closed-form system dynamics is formulated. In both, simulations and laboratory experiments, it is shown that if a constrained motion applies, the solution diverges from steady-state and can develop to the behavior similar to a semi-stable limit cycle.

Original languageEnglish
Title of host publication2021 IEEE International Conference on Mechatronics, ICM 2021
PublisherInstitute of Electrical and Electronics Engineers
ISBN (Electronic)9781728144429
Publication statusPublished - 7 Mar 2021
Event2021 IEEE International Conference on Mechatronics: ICM 2021 - Kashiwa, Japan
Duration: 7 Mar 20219 Mar 2021

Publication series

Name2021 IEEE International Conference on Mechatronics, ICM 2021


Conference2021 IEEE International Conference on Mechatronics

ASJC Scopus subject areas

  • Artificial Intelligence
  • Mechanical Engineering
  • Control and Optimization


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