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Engineering, Energy, Transport AIC

space SCIENTIFIC JOURNALS OF VINNITSA NATIONAL AGRARIAN UNIVERSITY

Issue №: 3 (130)

Published: 2025.12.25
DOI: 10.37128/2520-6168-2025-3


Description:
The journal solves the problems of creation and improvement of machinery and technologies for agriculture: 131 - Applied Mechanics, 132 - Materials Science, 133 - Industrial Engineering, 141 - Power Engineering, Electrical Engineering and Electromechanics, 208 - Agricultural Engineering

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EXPERIMENTAL STUDY OF THE AMPLITUDE OF OSCILLATIONS ELASTIC–DAMPER SYSTEM (KELVIN–VOIGT BODY)

DOI: 10.37128/2520-6168-2025-3-6
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Stepan BEREHULIAK – Postgraduate Student of Department of Desing Machine and Automotive Engineering, Lviv Polytechnic National University, (79013, 12 Stepan Bandera Str., Lviv, Ukraine, е-mail: Stepan.T.Berehuliak@lpnu.ua, https://orcid.org/0009-0005-6597-9752).

Annotation

The paper investigates the influence of stiffness and damping on the oscillations of a spring-damper system under a given load (sprung mass). The stiffness determines the mass of the sprung part of a vehicle structure. The use of a damper in a typical configuration between the sprung and unsprung masses may, in some cases, help to attenuate vibrations, while in others, it may amplify them.
The aim of the experimental study is to empirically substantiate the rational parameters of the spring-damper system under a non-harmonic excitation of the oscillatory system by a force impulse of a given amplitude.
A laboratory test rig and the results of a factorial planned experiment are presented. A second-order regression equation in natural parameters was obtained. The regression model was analyzed with two factors – the sprung mass and the damping coefficient – while the stiffness coefficient was kept constant at three levels. For a stiffness coefficient of 3088 H/m and an excitation force impulse of 500 H applied to mass m2, the oscillation amplitude of the sprung mass of 100 kg with a damping coefficient of 300 H·s/m is 48 mm, and with a damping coefficient of 200 H·s/m – 47 mm. For a sprung mass of 50 kg and damping coefficient of 300 H·s/m, the oscillation amplitude of mass m2 is 88.9 mm, and with a damping coefficient of 200 H·s/m – 76.9 mm. Similarly, for a stiffness coefficient of 2745 H/m and excitation force impulse of 500 H, the oscillation amplitude of the sprung mass of 100 kg with a damping coefficient of 300 H·s/m is 55 mm, and with 200 H·s/m – 47 mm. For a sprung mass of 50 kg and damping coefficient of 300 H·s/m, the oscillation amplitude of mass m2 is 108 mm, and with 200 H·s/m – 85.9 mm.
With a decrease in the sprung mass, the oscillation amplitude increases. A decrease in the stiffness coefficient of the spring-damper system also results in an increase in the oscillatory impulse amplitude of the sprung mass. A reduction in the damping coefficient of the spring-damper system leads to a decrease in the oscillatory impulse amplitude of the sprung mass. This enables adaptive control of the sprung mass oscillations while maintaining the condition of a damped oscillatory response of the spring-damper system.

Keywords: oscillation amplitude, stiffness coefficient, damper, sprung mass, factorial experiment, design matrix, factor, regression equation.

List of references

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About journal

Topics of the journal:

131 - Applied Mechanics

132 - Materials Science

133 - Industry engineering

141 - Power engineering, electrical engineering and electromechanics

208 - Agricultural engineering

The magazine "Engineering, Energy, Transport AIC" is included in the list of scientific professional editions of Ukraine on technical sciences

(Category "Б", Order of the Ministry of Education and Science of Ukraine dated 02.07.2020 №886)

Old version of site: http://tetapk.vsau.edu.ua, http://techjournal.vsau.org

According to the decision of National Council of Television and Radio Broadcasting of Ukraine from 25.04.2024 No. 1337 the scientific journal «Engineering, Energy, Transport AIC» has the ID of the Media R30-05173.

The journal "Engineering, Energy, Transport AIC" is indexed according to the following databases and catalogs:

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Key information:
ISSN (print): 2520-6168
DOI: 10.37128/2520-6168

Certificate of state registration of mass media: No. 21906-11806 P dated 03/12/2016.

Founder of the journal: Vinnytsia National Agrarian University

Editor-in-chief: Olexii TOKARCHUK - Candidate of Technical Sciences, Associate Professor, VNAU (Vinnytsia)

Deputy Editor-in-Chief: Vitalii YAROPUD - Doctor of Technical Sciences, Associate Professor, VNAU (Vinnytsia)

Executive Secretary: Yuriy POLIEVODA - Candidate of Technical Sciences, Associate Professor, VNAU (Vinnytsia)

Members of the Editorial Board:

Oleg TSURKAN – Doctor of Technical Sciences, Full Professor, Vinnytsia National Agrarian University (Ukraine)

Volodymyr BULGAKOV – Doctor of Technical Sciences, Full Professor, Acad. NAAS, National University of Life and Environmental Sciences of Ukraine (Ukraine)

Rostislav ISKOVICH-LOTOTSKY  – Doctor of Technical Sciences, Full Professor, Vinnytsia National Technical University (Ukraine)

Yuliia SALENKO – Doctor of Technical Sciences, Full Professor, Kremenchuk Mykhailo Ostrohradskyi National University (Ukraine)

Igor KUPCHUK – Candidate of Technical Sciences, Associate Professor, Vinnytsia National Agrarian University (Ukraine)    

Serhii SHARHORODSKYI – Candidate of Technical Sciences, Associate Professor, Vinnytsia National Agrarian University (Ukraine)

Valerii HRANIAK – Candidate of Technical Sciences, Associate Professor, Mykhailo Kotsiubynskyi Vinnytsia State Pedagogical University (Ukraine)

Anatoly SPIRIN – Candidate of Technical Sciences, Associate Professor, Vinnytsia National Agrarian University (Ukraine)

Olena SOLONA  – Candidate of Technical Sciences, Associate Professor, Vinnytsia National Agrarian University (Ukraine)

Igor TVERDOKHLIB – Candidate of Technical Sciences, Associate Professor, Vinnytsia National Agrarian University (Ukraine)

Foreign members of the editorial board

Jordan Todorov MAXIMOV – Doctor of Technical Sciences, Full Professor, Technical University of Gabrovo (Bulgaria)   

Audrius ŽUNDA – Ph.D., Associate Professor, Vytautas Magnus University (Kaunas, Lithuania)

Rolandas BLEIZGYS – Doctor, Professor, Academy of Agriculture, Vytautas Magnus University (Lithuania)

Edwina BROKESH – Doctor, Associate Professor, Kansas State University (USA)

Krzysztof MUDRYK - Doctor, Professor, Agrarian University in Krakow, (Poland)

Jurij RAKUN - Doctor, Associate Professor, University of Maribor, (Slovenia)

 

Type of publication: journal

Kind of publication: scientific

Publication status: domestic

Year of foundation: 1997

Periodicity: 4 times per year

Volume: 18-20 conv. print. sheet (А4)

ISSN: 2520-6168 (print version), (online version)

Language of publication: (mixed languages) Ukrainian, English

The sphere of distribution and category of readers: national, foreign, faculty, scientists, entrepreneurs.

The periodical edition is included to the List of scientific professional publications of Ukraine on technical sciences, approved by order of the Ministry of Education and Science of Ukraine in 05.16.2016, No. 515.

The journal "Engineering, Energy, Transport AIC" is included in the "Catalog of Ukrainian Publications".

Subscription to the journal can be issued in each post office. The subscription index is 99720.

History of journal:

It was founded in 1997 under the title "Bulletin of the Vinnitsa State Agricultural Institute." According to the Decree of the Presidium of the Higher Attestation Commission of Ukraine of September 11, 1997, this publication received the status of a professional in which it is allowed to publish the main results of dissertation researches.

In 2001-2014 the journal published under the title “Collection of scientific works of Vinnytsia National Agrarian University. Series: Technical Sciences "(Certificate of State Registration of Mass Media KV No. 16644-5116 PR of 04/30/2010).

Since 2015 journal has title "Engineering, Energy, Transport AIC" (Certificate of State Registration of Mass Media No. 21906-11806 P dated 03/12/2016).

All materials are distributed under the Creative Commons Attribution 4.0 International Public License (CC BY 4.0), which allows others to share and adapt the work with proper acknowledgment of authorship and the first publication in this сollection.