Numerical Procedure for Solving the Nonlinear Behaviour of a Spherical Absorber

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27120%2F23%3A10252755" target="_blank" >RIV/61989100:27120/23:10252755 - isvavai.cz</a>
Result on the web
<a href="https://www.fast.vsb.cz/export/sites/fast/228/cs/mmconference/mm-historie/mm2023_sbornik_abstraktu.pdf" target="_blank" >https://www.fast.vsb.cz/export/sites/fast/228/cs/mmconference/mm-historie/mm2023_sbornik_abstraktu.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Numerical Procedure for Solving the Nonlinear Behaviour of a Spherical Absorber
Original language description
This article is aimed at providing one of possible approaches to carry out numerical computations of a nonlinear system of equations of motion. The approach is demonstrated using an example of a ball absorber placed on a support bowl. The motion of the ball is constrained to a planar problem. The numerical solution of the derived system of equations is carried out using the continuation method and the modified secant method. By these techniques, the response of the absorber to different amplitudes of harmonic excitation force is simulated. The results are presented as a graphical representation of the dependence of the response amplitude on the excitation angular frequency. These results also include the identification of stable and unstable solution regions using the values of the determinant of relevant Jacobian matrix.
Czech name
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Czech description
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Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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