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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Omsk State Technical University, Federal State Autonoumos Educational Institution of Higher Education
2024-09-01
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| Series: | Омский научный вестник |
| Subjects: | |
| 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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| Summary: | 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. |
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| ISSN: | 1813-8225 2541-7541 |