TY - GEN
T1 - Pressure-flow dynamics with semi-stable limit cycles in hydraulic cylinder circuits
AU - Ruderman, Michael
AU - Kaltenbacher, Stefan
AU - Horn, Martin
N1 - Funding Information:
ACKNOWLEDGMENT This work has received funding from the European Union Horizon 2020 research and innovation programme H2020-MSCA-RISE-2016 under the grant agreement No 734832.
Publisher Copyright:
© 2021 IEEE.
PY - 2021/3/7
Y1 - 2021/3/7
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85104141694&partnerID=8YFLogxK
U2 - 10.1109/ICM46511.2021.9385620
DO - 10.1109/ICM46511.2021.9385620
M3 - Conference paper
AN - SCOPUS:85104141694
T3 - 2021 IEEE International Conference on Mechatronics, ICM 2021
BT - 2021 IEEE International Conference on Mechatronics, ICM 2021
PB - Institute of Electrical and Electronics Engineers
T2 - 2021 IEEE International Conference on Mechatronics
Y2 - 7 March 2021 through 9 March 2021
ER -