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液压传动中流体瞬变的变分解法理论分析
Theoretical Analysis of Solving Fluid Transients in Hydraulic Transmission Using Variational Method
【摘要】 应用变分法对描述液压传动中流体瞬变的偏微分方程进行了分析,推导了波动方程的二次泛函形式。证明了波动方程的解和二次泛函极值解的等价性,以及二次泛函极值解的存在唯一性,为其在液压传动中流体瞬变分析的进一步应用提供了理论依据。
【Abstract】 The partial differential equation of fluid transients in hydraulic transmission was analyzed using variational method.The quadratic function of wave equation was derived.The fact that solution of wave equation is equivalent to the extreme value of quadratic function solution was verified, and the existence and uniqueness of the quadratic function solution was also proved.So the theoretical base in fluid transients analysis in hydraulic transmission is provided for farther applications.
【关键词】 流体瞬变;
变分解法;
二次泛函极值;
等价;
【Key words】 fluid transient; variational method; extreme value to quadratic function; equivalent;
【Key words】 fluid transient; variational method; extreme value to quadratic function; equivalent;
- 【文献出处】 中国机械工程 ,China Mechanical Engineering(中国机械工程) , 编辑部邮箱 ,2006年05期
- 【分类号】TH137
- 【下载频次】121