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BULETINUL INSTITUTULUI POLITEHNIC DIN IAŞI
Publicat de
Universitatea Tehnică „Gheorghe Asachi” din Iaşi
Tomul LVI (LX), Fasc. 2, 2010
Secţia
CONSTRUCŢII DE MAŞINI
CONTRIBUTIONS TO THE ELABORATIONS OF A
GRAPHICAL METHOD FOR PROFILING OF TOOLS
WHICH GENERATE BY ENVELOPING
I. ALGORITHMS
SILVIU BERBINSCHI, VIRGIL TEODOR,
NICOLAE DUMITRAŞCU and NICOLAE OANCEA
Abstract. The generation of the ordered curls profile (surfaces) associated
with the centrodes of the rack-gear tool represent an fundamental problem for the
profiles reciprocally enveloping associated with a couple of rolling centrodes. The
knowing, in principle, of the generating rack-gear allow the construction of the
tool and, also, the determination of the axial profile of the worm mill for the
ordered curl profile’s generation. They are known and used more solutions for the
solving of this problem: analytical solutions, based on the fundamentals theorems
of gearing; complementary theorems, obtained from the fundamentals theorem;
graphical methods based on graphical environments capabilities. In this paper, is
proposed an algorithm for the approach of issue of ordered curl profiles based on
the CATIA design environment capabilities. It is proposed a general algorithm
which allows making applications, ended with the numerical determination of the
rack-gear reciprocally enveloping with ordered curl profiles. They are solved
profiles known in discrete form, substituted by spline approximation. The method
allows drawing the gearing lines as so as the interference trajectories. The
obtained results are comparing with results obtained by analytical methods.
Key words: enveloping surfaces, rack-gear tool, graphical design method.
BY
1. Introduction
The profiling of tools which generated by enveloping by the rolling method
— rack gear tool and gear shaped tool — may be make by some methods: