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Causes of Errors in Estimating the Characteristic Frequencies of Antiresonant Conveyors Cover

Causes of Errors in Estimating the Characteristic Frequencies of Antiresonant Conveyors

Open Access
|Sep 2025

Abstract

This paper demonstrates the unsuitability of relations and diagrams known from literature for antiresonant machines, in terms of determining the position of resonances of dynamic elimination systems. Correct formulas were derived and a nomogram for designers was built based on them. The effect of the actual number of degrees of freedom on the natural frequencies of machines with a design based on the dynam-ic eliminator principle is presented. The effect of the spring mass on the antiresonance frequency explicit to the natural frequency of the eliminator was pointed out, and correct relations for its consideration were derived. The experimental and numerical studies carried out in this paper have confirmed that including the effect of spring inertia in analytical calculations improves the accuracy of the results obtained. Furthermore, it was shown that the actual way in which the ends of the leaf springs are attached can significantly affect the natural frequency of the system. The factors discussed and analysed in this paper are omitted in conventional vibrating machine calculations, resulting in an overestimation of the natural frequencies determined from them.

DOI: https://doi.org/10.2478/ama-2025-0054 | Journal eISSN: 2300-5319 | Journal ISSN: 1898-4088
Language: English
Page range: 460 - 470
Submitted on: Sep 7, 2024
Accepted on: Aug 13, 2025
Published on: Sep 30, 2025
Published by: Bialystok University of Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2025 Jerzy MICHALCZYK, Marek GAJOWY, Krzysztof MICHALCZYK, published by Bialystok University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.