Open AccessAPPLYING ANALYTICAL METHOD TO DETERMINE DEPLANATION OF A MEASURING TOOL BY TORSION
Author(s) -
R. V. Guseinov,
Milena Rasulovna Akhmedova
Publication year - 2018
Publication title -
vestnik astrahanskogo gosudarstvennogo tehničeskogo universiteta. seriâ: morskaâ tehnika i tehnologiâ
Language(s) - English
Resource type - Journals
eISSN - 2225-0352
pISSN - 2073-1574
DOI - 10.24143/2073-1574-2018-2-14-21
Subject(s) - torsion (gastropod) , computer science , vibration , experimental data , mathematical model , basis (linear algebra) , mechanical engineering , mathematics , engineering , acoustics , physics , geometry , statistics , medicine , surgery
To analyze the vibrational motion when cutting metals it is necessary to create a mathematical model of the system. Mathematical model of the dynamic system is thought to be given when parameters of the system defining its status are known and the law of state-time history is specified. Therefore, defining parameters of the resonant circuits of the mathematical model should precede studying the oscillatory movements. Working part of a measuring instrument comprises the core of the complicated shape, thus, it is especially difficult to carry out such calculations. In the scientific literature there are no formulas acceptable for engineering practice, so the data on characteristics of the measuring instrument, in particular, deplanation, give considerable spreading. The purpose of this article is to obtain the calculated dependences of deplanation of the measuring tool. Methods of theory of elasticity are used in calculation. The method of determining deplanation function by torsion of a measuring instrument using analytical method has been developed. The functions obtained are used to find the variable component of a cut thickness by a measuring tool when cutting under vibration. The method was tested on the example of calculation of function of torsion in dependence on geometric characteristics of the cross-sections of taps. The calculated dependences with maximal accuracy help to set up the parameters of the system in analyzing the dynamics of metalworking process with measuring instruments.