2020
DOI: 10.20537/2076-7633-2020-12-2-387-400
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Modeling of a channel wall interaction with an end seal flexibly restrained at the edge

Abstract: В работе предложена новая математическая модель для исследования динамики взаимодействия продольной стенки узкого канала с его торцевым уплотнением-торцевой стенкой, имеющей упругое закрепление. В рамках данной модели взаимодействие указанных стенок происходит через слой вязкой жидкости, заполняющей канал, и ранее не исследовалось. Это потребовало постановки и решения задачи гидроупругости. Поставленная задача состоит из уравнений Навье-Стокса, уравнения неразрывности, уравнения динамики торцевой стенки как од… Show more

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Cited by 6 publications
(4 citation statements)
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“…As a result, we obtained the equation for nonlinear oscillations of the upper channel wall (13), which coincides with the Duffing equation [16,20]. Let us solve this equation by the harmonic balance method [20].…”
Section: Determining Of Non-linear Hydroelastic Response Of the Oscil...mentioning
confidence: 99%
See 3 more Smart Citations
“…As a result, we obtained the equation for nonlinear oscillations of the upper channel wall (13), which coincides with the Duffing equation [16,20]. Let us solve this equation by the harmonic balance method [20].…”
Section: Determining Of Non-linear Hydroelastic Response Of the Oscil...mentioning
confidence: 99%
“…η ≈ ω and z = z m sin(ωt+φ). After that, we linearize the nonlinear term (13) by performing it as a Fourier series and keeping only the first term of the expansion. Next, we will find the primary hydroelastic response of the considered oscillatory system.…”
Section: Determining Of Non-linear Hydroelastic Response Of the Oscil...mentioning
confidence: 99%
See 2 more Smart Citations