Abstract
The unsymmetrical valve controlling unsymmetrical cylinder is applied to the full hydraulic leveler. Generally, the hydraulic cylinder is in the position of the large stroke and it has a fast speed, the orifice area of the unsymmetrical valve being large accordingly. Furthermore, the four cylinders’ displacements are interacting, this system being a complex coupling nonlinear system. It is inaccurate to judge the stability of the system by linearization. This paper proves that the unsymmetrical valve controlling the unsymmetrical cylinder system is stable by Lyapunov theorem. Then, the AMEsim software and experimental data verify the stability of the system when it is in nonlinear state. This paper shows that using unsymmetrical valve controlling unsymmetrical cylinder is reasonable and provides the theoretical basis for criteria of nonlinear system’s stability.
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Acknowledgements
This paper was supported by 973 Project (2011CB612204); National Nature Science Foundation of China (51105264, 51104104); ShanxiProvincial Key Lab Youth Fund (2010011036-2); Shanxi province major project (20111101031); Taiyuan Science & Technology Development Project (grant No. 120164042).
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Han, H.Y., Wang, J. & Huang, Q.X. Analysis of unsymmetrical valve controlling unsymmetrical cylinder stability in hydraulic leveler. Nonlinear Dyn 70, 1199–1203 (2012). https://doi.org/10.1007/s11071-012-0523-y
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DOI: https://doi.org/10.1007/s11071-012-0523-y