Computer-aided design system for vibration-frequency density meters

Abstract

The article is devoted to the description of the developed automated design system for vibration-frequency density meters with a demonstration of the wide functionality of the program and interface settings. The development solves the problem of designing vibration-frequency density meters, calculating the quality factor and sensitivity of resonators, which provide the dependence of the frequency of self-oscillations on the controlled density. The lack of clear methodological recommendations for calibration, correction techniques for different methods of mounting the resonator significantly limits the use of vibration-frequency density meters, since the tasks set require special skills, competencies of both developers and personnel during operation.
 The algorithm of the developed software package is based on the calculation of the amplitude-frequency characteristics of a tubular resonator using a differential equation to determine the frequencies and forms of bending vibrations of a tubular resonator. The software implementation of the developed calculation model makes it possible not only to visualize the shapes, frequency, antinodes and vibration nodes of a tubular resonator of any design and a wide range of materials, but also takes into account the type of fastening, the numerical value of the support stiffness, makes it possible to adjust the placement of supports that meets the operating conditions while visualizing the shapes oscillations, simulate the distribution of sensitivity along the entire measurement range. The developed computer-aided design system has a simple and clear interface, and the absence of the necessary software installation and settings makes the product more accessible in the industrial environment of small enterprises.
 When using a subroutine for the numerical solution of the equation of free vibrations of a string, the software complex can be used to design string mechanical resonators of vibration-frequency sensors.
 
 Keywords: vibration-frequency density meter; resonator; amplitude and frequency of oscillations; fixing conditions; antinode; sensitivity