Abstract—This paper presents a newly developed analytical model with application in profiling the hob mill for generating a pump rotor having four circular lobes with rectilinear directrix. The analytical model of rotor surface is deducted at first. The generating rack-tool is secondly determined and then, the peripheral surface of the hob mill results as envelop of surfaces family generated by the successive positions of generating rack-tool. The profiling solution lies on the fundamental theorems concerning the reciprocal enwrapped surfaces. A calculus algorithm and a numerical model developed in MatLab are proposed. The characteristic curve of hob mill tooth surface is found out in the case of a given rotor profile.
Index Terms—Quadrilobed rotor, analytical model, hob mill profiling, intermediary surface method.
G. Frumuşanu is with the Manufacturing Engineering Department, Dunărea de Jos University of Galaţi, Romania (e-mail: gabriel.frumusanu@ ugal.ro).
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Cite: Gabriel Frumusnu and Nicolae Oancea, "Analytical Model to Profile the Hob Mill for Generating Quadrilobed Pump Rotor," International Journal of Modeling and Optimization vol. 8, no. 2, pp. 82-86, 2018.
