Nonlinear dynamic behaviors of electro-hydraulic servo system under friction
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摘要: 以电液伺服系统为研究对象,重点探究了非线性摩擦力对系统动态特征的影响规律.根据非线性动力学原理,建立了电液伺服系统的非线性动力学模型.通过理论研究,指出非线性摩擦力作用可以用Van Der Pol方程描述.通过数值试验分析,揭示了系统内在的分岔现象及典型非线性动力学行为.用非线性动力学研究方法对实测的电液伺服系统的动态数据进行了深入分析,揭示了摩擦力引起的“极限环型振荡”现象.发现摩擦力的非线性作用会引起电液伺服系统在工作过程中发生非线性振动,其对系统动态特征的影响不容忽视,在系统建模与动态特性研究时应该将摩擦力的非线性作用考虑在内.Abstract: With electro-hydraulic servo system as the research object, the influence laws of nonlinear friction on system dynamic characteristics were explored. Based on the principle of the nonlinear dynamics, the nonlinear dynamical model of system was established. Then, a conclusion was put forward that the effect of nonlinear friction could be described by Van Der Pol equation. The bifurcation phenomenon and typical nonlinear dynamical behaviors which implied within the system were revealed through numerical experimental analysis. Moreover, with the nonlinear dynamics methods, the measured dynamic data were thoroughly analyzed. And the “limit cycle oscillation” phenomenon caused by friction was revealed. The results indicate that the nonlinear effect of friction can cause nonlinear vibration occurred in system working process. The influence of friction on system dynamic characteristics cannot be ignored. The nonlinear effect of friction should be taken into account in system modeling and dynamic characteristics research.
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Key words:
- electro-hydraulic servo system /
- nonlinear friction /
- limit cycle oscillation /
- bifurcation /
- chaos
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