数字液压缸换向阀流场分布特征研究-王怀柱
  第164期  上一期:       
第164期 第四版
摘 要:针对水电站液压启闭机,研究了数字液压缸换向阀结构、工作参数对其流场分布特征的影响规律,通过计算流体动力学理论,建立了三种典型节流口形式的换向阀流场分析模型,获得了不同阀口形式、进出口压差以及阀口开度下的稳态流场特征。研究结果表明:阀芯具有明显的二级节流特征;相比于 U 形、三角形阀口,方形阀口下流速峰值最低,负压区压力值为 -0.22MPa,能有效避免气穴、气蚀等现象;随着进出口压差的增大,流场中最低负压值逐渐减小,流速峰值由 39.60m/s 增大至 95.79m/s;随着阀口开度的变大,流场最低负压值逐渐变大,压力梯度分布更加均匀,射流角降低了 15°。研究结果为数字液压缸的结构设计和性能优化提供理论依据。
关键词:数字液压缸;换向阀;流场;阀口形式
0 引言
       液压启闭机绝大多数安装到水利枢纽项目中的关键位置。它们的可靠性与安全性对工程质量至关重要 [1-2]。液压缸作为液压系统主要的执行结构,其高水平的定位精度和高品质的动态特性是学者的研究重点,并由此产生了典型的比例、伺服控制技术。但是,传统液压系统依靠阀口的节流、溢流作用实现液压缸的方向、位移等控制,不仅增加了系统的复杂程度,而且能量利用率低下。与比例、伺服液压系统相比,采用机械闭环反馈调节与控制的数字液压系统将复杂的速度控制和位置控制变成了单一的脉冲控制,不仅具有结构紧凑、控制简单、定位精度高等特性,而且成本低、环境适应性强 [3]。
数字液压缸作为数字液压系统的典型元件,国内外研究学者针对其设计与应用进行了大量研究 [4-6]。 宋 飞 等 [6] 通 过 建 立 数 字 液 压 缸 的AMESim 仿真分析模型,研究发现螺母与丝杠的减速比过大是导致系统低速稳定性差的主要原因。张乔斌 [8] 等采用控制变量的方法,对比分析了输入信号的类型、幅值以及频率对数字液压缸跟踪误差影响规律,研究结果表明数字液压缸跟踪误差随着输入信号的幅值、频率的增加而增大。颜晓辉 [9] 等提出了改变脉冲频率系数控制数字液压缸的稳态误差的方法,并通过试验对分析结果进行了验证。陈佳 [10] 等在充分考虑功率匹配和非对称结构的基础上,建立了数字液压缸传递函数模型,通过参数匹配设计优化了系统响应特性,并结合具体参数进行了仿真验证。刘有力 [11] 等建立了数字液压缸 Simulink 仿真分析模型,研究了供油压力、滑阀死区、芯径向泄漏等非线性因素对其动态特性的影响,揭示了液压缸定位误差与步进电机的频率成正相关。
       由于数字液压缸具有复杂而独特的内部结构,使得系统特性在很大程度上由其本身结构参数决定。换向阀是数字液压缸重要的液压控制元件,其在运行过程中会一直受到液动力的作用,并且阀内局部区域在油液高压、高速流动下也会形成负压区而产生气穴等现象,种种因素都会改变换向阀的控制性能,并进一步影响着数字液压缸的精度与性能。因此,本文通过建立三种典型节流口形式的换向阀仿真模型,对比分析其稳态流场特征,为数字液压缸的结构设计和性能优化提供理论依据。
1 数字液压缸基本结构和工作原理
      图 1 为数字液压缸结构简图,主要由步进电机、三位四通换向阀、缸体和反馈机构组成,其具体工作原理如下:数字液压缸通过电机驱动器接收调制好的脉冲信号,使得步进电机按照预期运动并带动四通换向阀阀芯同步旋转。由于阀芯一侧螺杆螺母副的存在,阀芯旋转的同时产生轴向位移导致阀口开启,形成液压通路。通过改变阀芯移动的方向和开度即可控制回路中液压油的流向和流量,从而改变活塞运动的方向和速度。高压油进入液压缸腔后,推动活塞杆作直线运动,与活塞杆连成一体的反馈螺母带动滚珠丝杆旋转,最后经螺杆螺母副的作用旋转推动换向阀芯反向移动,直至阀口关闭,活塞杆运行至预期位置,实现位置负反馈。

图 1 数字液压缸结构简图

2 数字液压缸换向阀流场分析模型建模
2.1 阀体结构几何模型
      根据数字液压缸换向阀实际尺寸,在合理简化阀套与阀芯配合间隙、阀体内部倒角、圆角的基础上,采用三维建模软件 SolidWorks 建立了换向阀阀体、阀芯几何模型,为了研究换向阀阀芯开口形式对其内部流场特性的影响规律,按照正投影面积相等的原则,设计了方形、U 形、三角形三种阀口结构的阀芯几何模型,如图 2 所示。方形节流口阀芯和阀体的组合装配示意图如 3 所示。

图 3 中阀芯处于中位,进口处节流口与回油处节流口均为负开口正遮盖形式,遮盖量为 0.1mm,换向阀阀口开度可以通过在 SolidWorks 软件中设置阀芯与阀体的相对位置而实现。

图 2 换向阀物理模型结构图
2.2 阀体流场模型抽取及网格划分

      常用的流体计算域建模方法有直接建模与几何抽取两种。由于阀体内部结构较为复杂,采用直接建模的方式建模过程复杂,且不宜于阀口开度的更改,因此,本文将 2.1 节建立的阀芯、阀体装配模型导入到 ANSYS Workbench 的DesignModeler 模块中,采用几何抽取的方式建立流体计算域。由于阀腔结构具有对称性,根据相似原理,阀内各腔流场分布具有相似性,所以本文以换向阀其中一腔为研究对象进行流场仿真,分析阀体内部流场特征。流场模型网格划分包括结构网格、非结构网格两种形式。考虑到数字液压缸换向阀内部流道较为复杂,采用适应性较好的非结构四面体网格进行划分。对于流速、压力变化梯度较大的阀口区域,为了增加求解精度,对该处网格进行了加密处理,并且添加膨胀层实现从边界层到内部网格的平滑过渡,以便更加真实的模拟实际流体模型。图 4为方形阀口的流体计算域网格划分结果,其中,网格数量 836504 个,网格平均正交质量为 0.88。

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