Journal of Zhejiang University-SCIENCE A

, Volume 19, Issue 2, pp 137–147

# Design of transition curve of profiled chamber flow sensor considering slides with arc ends

• Li Liu
• Yang Lu
Article

## Abstract

The face-shaped curve of the stator inner chamber of the profiled chamber flow sensor is formed with two quarters of circular arcs and two quarters of noncircular arcs. The two quarters of noncircular arcs are normally defined as transition curves. The parameters of the transition curves directly affect the dynamic performance of the sensor system. Therefore, the design and optimization of the transition curves is a most important part in the design of the system. Based on our previous work, this paper discusses more general expressions of the boundary conditions and derivations of the transition curves. The optimization of the transition curves considering slides with arc ends as the most concentrated part is presented in detail. Firstly, the concept of “basic transition curve” is proposed. Secondly, the boundary conditions and derivations of the basic transition curves are discussed and general expressions using a polynomial function are given. Then, the concave-convex direction of the basic transition curve is analyzed. Lastly, the transition curves considering the slides with arc ends are analyzed when the arc ends have equivalent radius with the major radius of the stator.

## Key words

Profiled chamber flow sensor Transition curve Optimal design Curve curvature

# 考虑转子为圆弧顶的流量传感器异型腔过渡曲线的优化设计

## 概要

### 方法

1. 提出“基本过渡曲线”的概念并总结多项式函数描述的过渡曲线的优化设计方法,给出边界条件和求解方法;2. 分析过渡曲线的凸凹形状对设计加工的影响;3. 分析圆弧顶转子与定子内腔可能产生的干涉问题,给出考虑转子顶端为圆弧形状时的过渡曲线的设计方法,并分析不同阶数的多项式函数所描述的过渡曲线的凸凹形状特点。

### 结论

1. 本文设计的过渡曲线可以使流量传感器的转子与定子内腔获得更好的密封性能,且转子的动态特性达到最优;2. 考虑过渡曲线的凸凹形状可降低加工工艺的难度。

TH113

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