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

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.