基于分岔理论的数字液压缸稳定性分析与设计  

Stability analysis and design of digital hydraulic cylinder based on bifurcation theory

作　　者：陈佳[1] 邢继峰[1] 吕帮俊[1] 彭利坤[1] 

机构地区：[1]海军工程大学动力工程学院,武汉430033

出　　处：《海军工程大学学报》2015年第2期80-85,共6页Journal of Naval University of Engineering

基　　金：国家部委基金资助项目(40103050210102);海军工程大学自然科学基金资助项目(HGDQNJJ13014)

摘　　要：为将分岔理论应用于数字液压缸稳定性分析与设计,对系统非线性模型进行了等价变换和光滑处理,同时为克服刚性问题影响,基于量纲分析理论通过选择合适的基本量将模型无因次化,并采用预测-校正延拓法确保分岔求解的精度和效率。在各自可行区间内,对重要参数和不确定参数进行了单参数分岔分析,结果表明:数字液压缸的初始设计具有一定的稳定裕度和鲁棒性,系统受不确定参数的影响较小;运用分岔理论,能够有效揭示各参数对系统动态稳定性的影响,为系统参数设计提供指导。The nonlinear model is transformed and smoothed equivalently to apply bifurcation theory to stability analysis and design of the digital hydraulic cylinder. To overcome the influence of stiff- ness, the model is also non-dimensionalized by selecting appropriate fundamental quantities based on the dimensional analysis. The prediction-correction continuation algorithm is used to ensure the accu- racy and efficiency of solving the bifurcation problems. Single-factor bifurcation analysis is made of several key parameters and uncertain ones in each feasible region. The results show that the initial de- sign of digital hydraulic cylinder has a certain stability margin and robustness but the system is affected slightly by uncertain parameters, and that the application of bifurcation theory can effectively reveal the effect of each parameter on the system dynamic stability to contribute to the design of parameters.

关 键 词：数字液压缸 非线性无因次模型 预测-校正延拓法 分岔分析 

分 类 号：TH137[机械工程—机械制造及自动化]