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Generalization of the Faraday problem for the mechanical system «reservoir – liquid» in the presence of a vertical periodic (sawtooth) disturbance

Year: 2024

Type: article

Abstract: The generalization of Faraday's classic problem about the parametric resonance of the free surface during vertical oscillations of the tank according to the periodic law of the modulus of the cosine is considered. Regions of stability and instability are designed, which are compared with similar results for the classical Faraday problem. The behavior of the system is considered on the basis of a nonlinear multimode model, which describes the combined movement of the tank and fluid under the influence of external force excitation or kinematic disturbance.

Source: Physico-mathematical modelling and informational technologies

DOI: 10.15407/fmmit2024.39.005

Authors: Олександр Константінов, Катерина Семенович

Institutions: Institute of Mathematics, Taras Shevchenko National University of Kyiv

Language: English

Topic: Vibration and Dynamic Analysis

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4403753211

FWCI:

Cites: 8

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Related to: 10