# Mathematical model of the cylinder rotational oscillation in air flow

A.N. Ryabinin, N.A. Kiselev

Research output

### Abstract

The paper describes the mathematical model of the rotational oscillations of the elastically fixed cylinder with flat stabilizer in the airflow. The cylinder has the single degree of freedom. It can rotate around axis that is perpendicular to cylinder axis and air velocity vector. The ratio of the length and the diameter of the cylinder is equal to 2. The model predicts the oscillation of the cylinder with constant amplitude. Two cases are considered. In the first case, the cylinder has only stabilizer. In the second case, the cylinder has not a stabilizer and is supported by elastic holder. Predictions of the mathematical model are verified in the wind tunnel experiments.
Original language English 2892-2897 6 ARPN Journal of Engineering and Applied Sciences 14 16 Published - 1 Jan 2019

### Fingerprint

Mathematical models
Air
Wind tunnels
Experiments

### Scopus subject areas

• Engineering(all)
• Engineering (miscellaneous)

### Cite this

@article{d7a1385befd3448b9e1b6d8d3ed5c9ab,
title = "Mathematical model of the cylinder rotational oscillation in air flow",
abstract = "The paper describes the mathematical model of the rotational oscillations of the elastically fixed cylinder with flat stabilizer in the airflow. The cylinder has the single degree of freedom. It can rotate around axis that is perpendicular to cylinder axis and air velocity vector. The ratio of the length and the diameter of the cylinder is equal to 2. The model predicts the oscillation of the cylinder with constant amplitude. Two cases are considered. In the first case, the cylinder has only stabilizer. In the second case, the cylinder has not a stabilizer and is supported by elastic holder. Predictions of the mathematical model are verified in the wind tunnel experiments.",
keywords = "Cylinder, Mathematical model, Rotational oscillation",
author = "A.N. Ryabinin and N.A. Kiselev",
year = "2019",
month = "1",
day = "1",
language = "English",
volume = "14",
pages = "2892--2897",
journal = "ARPN Journal of Engineering and Applied Sciences",
issn = "1819-6608",
publisher = "Asian Research Publishing Network (ARPN)",
number = "16",

}

In: ARPN Journal of Engineering and Applied Sciences, Vol. 14, No. 16, 01.01.2019, p. 2892-2897.

Research output

TY - JOUR

T1 - Mathematical model of the cylinder rotational oscillation in air flow

AU - Ryabinin, A.N.

AU - Kiselev, N.A.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - The paper describes the mathematical model of the rotational oscillations of the elastically fixed cylinder with flat stabilizer in the airflow. The cylinder has the single degree of freedom. It can rotate around axis that is perpendicular to cylinder axis and air velocity vector. The ratio of the length and the diameter of the cylinder is equal to 2. The model predicts the oscillation of the cylinder with constant amplitude. Two cases are considered. In the first case, the cylinder has only stabilizer. In the second case, the cylinder has not a stabilizer and is supported by elastic holder. Predictions of the mathematical model are verified in the wind tunnel experiments.

AB - The paper describes the mathematical model of the rotational oscillations of the elastically fixed cylinder with flat stabilizer in the airflow. The cylinder has the single degree of freedom. It can rotate around axis that is perpendicular to cylinder axis and air velocity vector. The ratio of the length and the diameter of the cylinder is equal to 2. The model predicts the oscillation of the cylinder with constant amplitude. Two cases are considered. In the first case, the cylinder has only stabilizer. In the second case, the cylinder has not a stabilizer and is supported by elastic holder. Predictions of the mathematical model are verified in the wind tunnel experiments.

KW - Cylinder

KW - Mathematical model

KW - Rotational oscillation

UR - http://www.scopus.com/inward/record.url?scp=85072898394&partnerID=8YFLogxK

M3 - Article

VL - 14

SP - 2892

EP - 2897

JO - ARPN Journal of Engineering and Applied Sciences

JF - ARPN Journal of Engineering and Applied Sciences

SN - 1819-6608

IS - 16

ER -