Browsing by Subject "point mass"

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Access status: Open Access ,
On small vibrations of a damped Stieltjes string
(2015) Boyko, Olga; Pivovarchik, Vyacheslav
Inverse problem of recovering masses, coefficients of damping and lengths of the intervals between the masses using two spectra of boundary value problems and the total length of the Stieltjes string (an elastic thread bearing point masses) is considered. For the case of point-wise damping at the first counting from the right end mass the problem of recovering the masses, the damping coefficient and the lengths of the subintervals by one spectrum and the total length of the string is solved.
Access status: Open Access ,
Periodic control of the bar with point mass
(Wydawnictwa AGH, 2008) Bieda, Maciej; Piekarski, Zbigniew
The following article discusses the usage of optimization theory with quasi periodic control to form a vibrating bar with point mass that is situated on the bar's axis. The maximum principle was changed and used to calculate a numerical sample. The principle uses the new condition for optimisation containing several constituent hamiltonians. The hamiltonians facilitated the calculation of the quasi periodic controls. The result of the calculation was a numerical sample, which specified how the quasi-periodic cross-section of the bar depends on the mass and the point of the mass position along the bar's axis.