Розрахунок вільних поздовжніх коливань стрижня методом сплайн-колокації
On the example of the problem of free longitudinal vibrations of a beam free at one end and fixed at the other end the error of vibration process approximation by third-degree Beta-splines is examined. The error is calculated by comparing the obtained solution with the solution of Fourier. The error...
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| Datum: | 2021 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Ukrainian |
| Veröffentlicht: |
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
2021
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| Schlagworte: | |
| Online Zugang: | http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2021.19.25-29 |
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| Назва журналу: | Prykladni Problemy Mekhaniky i Matematyky |
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Prykladni Problemy Mekhaniky i Matematyky| Zusammenfassung: | On the example of the problem of free longitudinal vibrations of a beam free at one end and fixed at the other end the error of vibration process approximation by third-degree Beta-splines is examined. The error is calculated by comparing the obtained solution with the solution of Fourier. The error dependence on node net by the beam length as well as on the step of time partition of the vibration process is obtained. The high convergence of the spline collocation method is shown. Cite as: I. Yu. Podil’chuk, “Calculation of free longitudinal vibrations of a beam by spline collocation method,” Prykl. Probl. Mekh. Mat., Issue 19, 25–29 (2021) (in Ukrainian), https://doi.org/10.15407/apmm2021.19.25-29 |
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