NONLINEAR PHENOMENA IN HYDRAULIC SYSTEMS (Satoru Hayashi)


ABSTRACT

Hydraulic systems include various non-linearities in static and dynamic characteristics of their components. Consequently, a variety of nonlinear phenomena occur in the systems. This paper deals with intrinsic nonlinear dynamic behaviors of hydraulic systems.

KEYWORDS
Hydraulics, Nonlinear phenomena, Hard self-excitation, Micro-stick-slip, Chaos


INTRODUCTION
Hydraulic systems consist of various elements: pumps, actuators, control valves, accumulators, restrictors, pipelines and the like, which include many types of nonlinearity, such as pressure-flow characteristics in control valves, dry friction acting on actuators and moving parts of valves, collision of valves against valve seats. As a result, various types of nonlinear phenomena arise caused by these non-linearities. It is a marked feature of nonlinear systems that global behaviors are sometimes quite different from local behaviors. In such cases, results of linear analysis are unavailable to estimate global nature of the system. This paper focuses on the nonlinear phenomena occurring in hydraulic systems, especially, “hard self-excitation” [8] whose global stability drastically changes from local one on the basis of the author’s studies in the past [1]-[7]


ABSTRACT

Hydraulic systems include various non-linearities in static and dynamic characteristics of their components. Consequently, a variety of nonlinear phenomena occur in the systems. This paper deals with intrinsic nonlinear dynamic behaviors of hydraulic systems.

KEYWORDS
Hydraulics, Nonlinear phenomena, Hard self-excitation, Micro-stick-slip, Chaos


INTRODUCTION
Hydraulic systems consist of various elements: pumps, actuators, control valves, accumulators, restrictors, pipelines and the like, which include many types of nonlinearity, such as pressure-flow characteristics in control valves, dry friction acting on actuators and moving parts of valves, collision of valves against valve seats. As a result, various types of nonlinear phenomena arise caused by these non-linearities. It is a marked feature of nonlinear systems that global behaviors are sometimes quite different from local behaviors. In such cases, results of linear analysis are unavailable to estimate global nature of the system. This paper focuses on the nonlinear phenomena occurring in hydraulic systems, especially, “hard self-excitation” [8] whose global stability drastically changes from local one on the basis of the author’s studies in the past [1]-[7]

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