The mathematical and computer modeling of the worm tool shaping

Mechanical Science and Technology Update

力学;物理学

Panchuk, K.L.^1 ; Lyashkov, A.A.^1 ; Ayusheev, T.V.^2

Omsk State Technical University, Mira ave., 11, Omsk

644050, Russia^1

East Siberian State University of Technology and Management, Klyuchevskaya ave., 1, Ulan-Ude

670013, Russia^2

关键词: 3-d modeling;    Computer modeling;    Computer research;    Envelope surface;    Enveloping surface;    Kinematic method;    Research problems;    Solid-state models;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/858/1/012024/pdf
DOI  :  10.1088/1742-6596/858/1/012024

学科分类：力学，机械学

来源: IOP

【 摘 要 】

Traditionally mathematical profiling of the worm tool is carried out on the first T. Olivier method, known in the theory of gear gearings, with receiving an intermediate surface of the making lath. It complicates process of profiling and its realization by means of computer 3D-modeling. The purpose of the work is the improvement of mathematical model of profiling and its realization based on the methods of 3D-modeling. Research problems are: receiving of the mathematical model of profiling which excludes the presence of the making lath in it; realization of the received model by means of frame and superficial modeling; development and approbation of technology of solid-state modeling for the solution of the problem of profiling. As the basic, the kinematic method of research of the mutually envelope surfaces is accepted. Computer research is executed by means of CAD based on the methods of 3D-modeling. We have developed mathematical model of profiling of the worm tool; frame, superficial and solid-state models of shaping of the mutually enveloping surfaces of the detail and the tool are received. The offered mathematical models and the technologies of 3D-modeling of shaping represent tools for theoretical and experimental profiling of the worm tool. The results of researches can be used at design of metal-cutting tools.