Hopf Bifurcation Analysis of Digital Hydraulic Cylinder

Jia Chen; Ji Feng Xing; Bang Jun Lv

doi:10.4028/www.scientific.net/AMM.596.27

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 596Hopf Bifurcation Analysis of Digital Hydraulic...

Hopf Bifurcation Analysis of Digital Hydraulic Cylinder

Abstract:

A dimensionless nonlinear state-space model was established considering the structural particularities of digital hydraulic cylinder, and dynamic bifurcation characteristics of the system were analyzed and validated based on MATCONT. The results show that, when the piston diameter, valve orifice area gradient, ball-screw pitch and the maximum desired speed are not designed appropriately, digital hydraulic cylinder is prone to Hopf bifurcation. Limit cycles that the stable and the unstable neutralize each other at subcritical Hopf bifurcation points, causing the system tracking outputs divergence from continuous oscillation to increasing oscillation. Losing synchronism of stepper motor is essentially a form of the instability caused by system supercritical Hopf bifurcation.

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Periodical:

Applied Mechanics and Materials (Volume 596)

Pages:

27-31

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.596.27

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Online since:

July 2014

Authors:

Jia Chen*, Ji Feng Xing, Bang Jun Lv

Keywords:

Digital Hydraulic Cylinder, Hopf Bifurcation, Limit Cycle, MATCONT

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* - Corresponding Author

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