Approximate solution of equations of vibrations propagation in a curved fluid-filled tube

Approximate solution of equations of vibrations propagation in a curved fluid-filled tube

A mathematical model of the dynamics of a bent pipe as a membrane fluid-filled shell is constructed. A form of an approximate solution of the obtained equations is proposed such that the dimension of the problem decreases. An asymptotic analysis of the obtained differential equations is carried out....

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Rukavishnikov, Viktor A., Ryabokon, Anna S., Tkachenko, Oleg P.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Differential equations
Fluid filled shells
Mathematical analysis
Mathematical models
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Beschreibung
Zusammenfassung:A mathematical model of the dynamics of a bent pipe as a membrane fluid-filled shell is constructed. A form of an approximate solution of the obtained equations is proposed such that the dimension of the problem decreases. An asymptotic analysis of the obtained differential equations is carried out. The verification of the mathematical model in a numerical experiment is performed.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0162090