Geodesic
Parameter estimation for the oscillating systems
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 55 (2021) no. 2, pp. 131-140

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Simple harmonic motion was investigated of a rotational oscillating system. The effect of dumping and forcing on motion of the system was examined and measurements were taken. Resonance in a oscillating system was investigated and quality factor of the dumping system was measured at different damping forces using three different methods. Resonance curves were constructed at two different damping forces. A probabilistic model was built and system parameters were estimated from the resonance curves using Stan sampling platform. The quality factor of the oscillating system when the additional dumping was turned off was estimated to be $Q =71 \pm 1$ and natural frequency $\omega_0 = 3.105 \pm 0.008$ s$^{-1}$.
Keywords: statistical models, resonance, Bayesian methods, sampling, Stan. 
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     title = {Parameter estimation for the oscillating systems},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
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     publisher = {mathdoc},
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     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2021_55_2_a3/}
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A. A. Matevosyan; A. G. Matevosyan. Parameter estimation for the oscillating systems. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 55 (2021) no. 2, pp. 131-140. http://geodesic.mathdoc.fr/item/UZERU_2021_55_2_a3/