Determining the nonlinear damping function using experiments
In this article, the coefficients of the nonlinear damping function of a mechanical system with one translational degree of freedom are determined from an experimentally obtained oscillogram of free vibrations. The function is modeled using three types of damping: coulomb damping, linear viscous,...
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| Format: | Article |
| Language: | English |
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Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education
2024-09-01
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| Series: | Омский научный вестник |
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| Online Access: | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2024/%E2%84%963%20(191)%20(%D0%9E%D0%9D%D0%92)/5-13%20%D0%9A%D0%B0%D0%BB%D0%B0%D1%88%D0%BD%D0%B8%D0%BA%D0%BE%D0%B2%20%D0%91.%20%D0%90.,%20%D0%91%D0%BE%D1%85%D0%B0%D0%BD%20%D0%92.%20%D0%92.,%20%D0%9F%D0%B5%D0%BD%D1%8C%D0%BA%D0%BE%D0%B2%20%D0%9A.%20%D0%92..pdf |
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| _version_ | 1832569112300093440 |
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| author | B. A. Kalashnikov V. V. Bokhan K. V. Penkov |
| author_facet | B. A. Kalashnikov V. V. Bokhan K. V. Penkov |
| author_sort | B. A. Kalashnikov |
| collection | DOAJ |
| description | In this article, the coefficients of the nonlinear damping function of a mechanical system
with one translational degree of freedom are determined from an experimentally
obtained oscillogram of free vibrations. The function is modeled using three types
of damping: coulomb damping, linear viscous, and nonlinear viscous damping.
Numerical values of the damping coefficients are identified. The characteristic of
the dissipative force as a function of displacement is obtained, and is used to
find the amount of energy dissipated over a time period. An equivalent relative
damping ratio is approximated using the energy balance method and then used
to perform numerical integration of the equation of motion. A satisfactory match
of the envelope curve and the phase of the vibrational process is demonstrated
by comparing the calculated oscillogram to the experimental one. The damping
function parameters can be further refined by approximating the experimental
amplitudes. The obtained value of the relative damping coefficient can be used to solve nonlinear problems in the area of dynamics of weakly damped systems. |
| format | Article |
| id | doaj-art-468ff73a928c41979aba21e6fbf79009 |
| institution | Kabale University |
| issn | 1813-8225 2541-7541 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education |
| record_format | Article |
| series | Омский научный вестник |
| spelling | doaj-art-468ff73a928c41979aba21e6fbf790092025-02-02T23:15:52ZengOmsk State Technical University, Federal State Autonoumos Educational Institution of Higher EducationОмский научный вестник1813-82252541-75412024-09-013 (191)51310.25206/1813-8225-2024-191-5-13Determining the nonlinear damping function using experimentsB. A. Kalashnikov0https://orcid.org/0000-0002-9946-3480V. V. Bokhan1https://orcid.org/0000-0003-0690-381XK. V. Penkov2https://orcid.org/0009-0002-7567-5478Omsk State Technical UniversityOmsk State Technical University; JSC «Federal Research and Production Center «Progress»Omsk State Technical UniversityIn this article, the coefficients of the nonlinear damping function of a mechanical system with one translational degree of freedom are determined from an experimentally obtained oscillogram of free vibrations. The function is modeled using three types of damping: coulomb damping, linear viscous, and nonlinear viscous damping. Numerical values of the damping coefficients are identified. The characteristic of the dissipative force as a function of displacement is obtained, and is used to find the amount of energy dissipated over a time period. An equivalent relative damping ratio is approximated using the energy balance method and then used to perform numerical integration of the equation of motion. A satisfactory match of the envelope curve and the phase of the vibrational process is demonstrated by comparing the calculated oscillogram to the experimental one. The damping function parameters can be further refined by approximating the experimental amplitudes. The obtained value of the relative damping coefficient can be used to solve nonlinear problems in the area of dynamics of weakly damped systems.https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2024/%E2%84%963%20(191)%20(%D0%9E%D0%9D%D0%92)/5-13%20%D0%9A%D0%B0%D0%BB%D0%B0%D1%88%D0%BD%D0%B8%D0%BA%D0%BE%D0%B2%20%D0%91.%20%D0%90.,%20%D0%91%D0%BE%D1%85%D0%B0%D0%BD%20%D0%92.%20%D0%92.,%20%D0%9F%D0%B5%D0%BD%D1%8C%D0%BA%D0%BE%D0%B2%20%D0%9A.%20%D0%92..pdfnonlinear damping functioncoulomb dampinglinear viscous dampingnonlinear viscous dampingenergy dissipationenvelope curverelative damping ratioenergy balance method |
| spellingShingle | B. A. Kalashnikov V. V. Bokhan K. V. Penkov Determining the nonlinear damping function using experiments Омский научный вестник nonlinear damping function coulomb damping linear viscous damping nonlinear viscous damping energy dissipation envelope curve relative damping ratio energy balance method |
| title | Determining the nonlinear damping function using experiments |
| title_full | Determining the nonlinear damping function using experiments |
| title_fullStr | Determining the nonlinear damping function using experiments |
| title_full_unstemmed | Determining the nonlinear damping function using experiments |
| title_short | Determining the nonlinear damping function using experiments |
| title_sort | determining the nonlinear damping function using experiments |
| topic | nonlinear damping function coulomb damping linear viscous damping nonlinear viscous damping energy dissipation envelope curve relative damping ratio energy balance method |
| url | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2024/%E2%84%963%20(191)%20(%D0%9E%D0%9D%D0%92)/5-13%20%D0%9A%D0%B0%D0%BB%D0%B0%D1%88%D0%BD%D0%B8%D0%BA%D0%BE%D0%B2%20%D0%91.%20%D0%90.,%20%D0%91%D0%BE%D1%85%D0%B0%D0%BD%20%D0%92.%20%D0%92.,%20%D0%9F%D0%B5%D0%BD%D1%8C%D0%BA%D0%BE%D0%B2%20%D0%9A.%20%D0%92..pdf |
| work_keys_str_mv | AT bakalashnikov determiningthenonlineardampingfunctionusingexperiments AT vvbokhan determiningthenonlineardampingfunctionusingexperiments AT kvpenkov determiningthenonlineardampingfunctionusingexperiments |