title: ÐÐ½Ð¾Ð³Ð¾ÑÐ°ÑÑÐ¾ÑÐ½Ð°Ñ Ð¿Ð¾Ð¿ÐµÑÐµÑÐ½Ð°Ñ ÑÐ¸Ð»Ð°, Ð´ÐµÐ¹ÑÑÐ²ÑÑÑÐ°Ñ Ð½Ð° ÑÑÐ¾Ñ Ð² Ð¿Ð»Ð¾ÑÐºÐ¾Ð¼ Ð²Ð¸Ñ ÑÐµÐ²Ð¾Ð¼ Ð¿Ð¾ÑÐ¾ÐºÐµ
title: Multi-frequency transverse force acting on a cable in a flat vortex flow
Creators: name: ÐÐ³Ð½Ð°ÑÑÐµÐ², Ð¡ÐµÑÐ³ÐµÐ¹
name: "Ð¡Ð¾Ð²ÑÐµÐ¼ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð°ÑÐ¸Ð½Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ: Ð½Ð°ÑÐºÐ° Ð¸ Ð¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°Ð½Ð¸Ðµ", Ð¼ÐµÐ¶Ð´ÑÐ½Ð°ÑÐ¾Ð´Ð½Ð°Ñ Ð½Ð°ÑÑÐ½Ð°Ñ ÐºÐ¾Ð½ÑÐµÑÐµÐ½ÑÐ¸Ñ (13; 2024; Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³)
Publisher: name: ÐÐÐÐÐ¢ÐÐ¥-ÐÐ ÐÐ¡Ð¡
Year: 2024
Subjects: ÐÐ¸Ñ ÑÐµÐ²Ð¾Ðµ Ð´Ð²Ð¸Ð¶ÐµÐ½Ð¸Ðµ
ÐÐ¸Ð´ÑÐ¾Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¾Ðµ ÑÐ¾Ð¿ÑÐ¾ÑÐ¸Ð²Ð»ÐµÐ½Ð¸Ðµ
Ð²Ð¸Ñ ÑÐµÐ²Ð°Ñ Ð´Ð¾ÑÐ¾Ð¶ÐºÐ° ÐÐ°ÑÐ¼Ð°Ð½Ð°
ÑÐ¸ÑÐºÑÐ»ÑÑÐ¸Ñ Ð²Ð¸Ñ ÑÑ
ÑÐºÐ¾ÑÐ¾ÑÑÑ Ð²Ð¸Ñ ÑÐµÐ²Ð¾Ð¹ Ð´Ð¾ÑÐ¾Ð¶ÐºÐ¸
ÑÐ¸ÑÐ»Ð¾ Ð¡ÑÑÑÑ Ð°Ð»Ñ
Ð»Ð¾Ð±Ð¾Ð²Ð¾Ðµ ÑÐ¾Ð¿ÑÐ¾ÑÐ¸Ð²Ð»ÐµÐ½Ð¸Ðµ
Ð¿Ð¾Ð¿ÐµÑÐµÑÐ½Ð°Ñ ÑÐ¸Ð»Ð° Ð³Ð¸Ð´ÑÐ¾Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð²Ð¾Ð·Ð´ÐµÐ¹ÑÑÐ²Ð¸Ñ
Karman vortex path
circulation of the vortex
the speed of the vortex track
the Struhal number
head-on resistance
the transverse force of the hydrodynamic action

description: Ð Ð¿Ð»Ð¾ÑÐºÐ¾Ð¹ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐµ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¿ÑÐ¸Ð²Ð¾Ð´Ð¸ÑÑÑ Ð²ÑÐ²Ð¾Ð´ ÑÐ¾ÑÐ¼ÑÐ»Ñ Ð´Ð»Ñ Ð¿Ð¾Ð¿ÐµÑÐµÑÐ½Ð¾Ð¹ ÑÐ¸Ð»Ñ, Ð´ÐµÐ¹ÑÑÐ²ÑÑÑÐµÐ¹ ÑÐ¾ ÑÑÐ¾ÑÐ¾Ð½Ñ Ð²Ð¸ÑÑÐµÐ²Ð¾Ð¹ Ð´Ð¾ÑÐ¾Ð¶ÐºÐ¸ ÐÐ°ÑÐ¼Ð°Ð½Ð° Ð½Ð° ÑÐ¸Ð»Ð¸Ð½Ð´Ñ. ÐÐ¾ÐºÐ°Ð·Ð°Ð½Ð¾, ÑÑÐ¾ Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°ÑÑÐ¾ÑÐ½Ð°Ñ Ð¿Ð¾Ð¿ÐµÑÐµÑÐ½Ð°Ñ ÑÐ¸Ð»Ð° Ð¸Ð¼ÐµÐµÑ ÑÐ¾ÑÐ¼Ñ Ð¼ÐµÐ°Ð½Ð´ÑÐ° Ð¸ Ð·Ð°Ð²Ð¸ÑÐ¸Ñ Ð¾Ñ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² Ð²Ð¸ÑÑÐµÐ²Ð¾Ð¹ Ð´Ð¾ÑÐ¾Ð¶ÐºÐ¸. Ð Ð·Ð°Ð´Ð°ÑÐµ Ð¿Ð¾Ð¿ÐµÑÐµÑÐ½ÑÑ ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹ Ð½Ð¸ÑÐ¸ Ð¿ÑÐ¸Ð²Ð¾Ð´Ð¸ÑÑÑ ÑÐµÑÐµÐ½Ð¸Ðµ Ð¿ÑÐ¸ Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°ÑÑÐ¾ÑÐ½Ð¾Ð¼ Ð¸ Ð³Ð°ÑÐ¼Ð¾Ð½Ð¸ÑÐµÑÐºÐ¾Ð¼ Ð²Ð¾Ð·Ð´ÐµÐ¹ÑÑÐ²Ð¸Ð¸ Ð¿Ð¾ÑÐ¾ÐºÐ°. ÐÑÐ¸ Ð²ÑÐ²Ð¾Ð´Ðµ ÑÐ¾ÑÐ¼ÑÐ»Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÐµÑÑÑ ÑÑÐ½ÐºÑÐ¸Ñ ÑÐ¾ÐºÐ° Ð´Ð»Ñ ÑÐ¸ÑÑÐµÐ¼Ñ Ð²Ð¸ÑÑÐµÐ¹ Ð² Ð¿Ð»Ð¾ÑÐºÐ¾ÑÑÐ¸. ÐÐ¾Ð¿ÐµÑÐµÑÐ½Ð°Ñ ÑÐ¸Ð»Ð° Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÑÐµÑÑÑ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¸Ð½ÑÐµÐ³ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð° Ð´Ð²Ð¸Ð¶ÐµÐ½Ð¸Ñ Ð¿Ð¾ ÐºÐ¾Ð½ÑÑÑÑ, Ð¾ÑÐ²Ð°ÑÑÐ²Ð°ÑÑÐµÐ³Ð¾ ÑÐ°ÑÑÑ ÑÑÐ¾ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ Ð²Ð¸ÑÑÐµÐ²Ð¾Ð¹ Ð´Ð¾ÑÐ¾Ð¶ÐºÐ¸ ÐÐ°ÑÐ¼Ð°Ð½Ð° Ñ Ð´Ð»Ð¸Ð½Ð¾Ð¹ l â ÑÐ°ÑÑÑÐ¾ÑÐ½Ð¸ÐµÐ¼ Ð¼ÐµÐ¶Ð´Ñ ÑÐµÐ½ÑÑÐ°Ð¼Ð¸ Ð²Ð¸ÑÑÐµÐ¹ Ð¾Ð´Ð½Ð¾Ð³Ð¾ ÑÑÐ¾Ð²Ð½Ñ. Ð¤Ð¾ÑÐ¼ÑÐ»Ð° Ð´Ð»Ñ Ð¿Ð¾Ð¿ÐµÑÐµÑÐ½Ð¾Ð¹ ÑÐ¸Ð»Ñ Ð¼Ð¾Ð¶ÐµÑ Ð±ÑÑÑ Ð¿Ð¾Ð»ÐµÐ·Ð½Ð° Ð´Ð»Ñ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¸ ÑÐ°ÑÑÐµÑÐ° Ð°Ð²ÑÐ¾ÐºÐ¾Ð»ÐµÐ±Ð°Ð½Ð¸Ð¹, Ð²Ð¾Ð·Ð½Ð¸ÐºÐ°ÑÑÐ¸Ñ Ð¿ÑÐ¸ Ð¿Ð¾Ð¿ÐµÑÐµÑÐ½Ð¾Ð¼ Ð¾Ð±ÑÐµÐºÐ°Ð½Ð¸Ð¸ Ð´Ð»Ð¸Ð½Ð½Ð¾Ð¼ÐµÑÐ½ÑÑ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð¹: Ð½Ð¸ÑÐµÐ¹, ÑÑÐ¾ÑÐ¾Ð² Ð¸ ÑÑÑÐ±.
description: In the flat formulation of the problem, a formula is derived for the transverse force acting from the side of the Karman vortex path on the cylinder. It is shown that the multi-frequency transverse force has the shape of a meander and depends on the main parameters of the vortex track. In the problem of transverse vibrations of the thread, a solution is given for multi-frequency and harmonic flow effects. When deriving the formula, the current function for a system of vortices in the plane is used. When deriving the formula, the current function for a system of vortices in the plane is used. The transverse force is determined by integrating the change in the amount of motion along the contour covering a part of the formed vortex path of the Karman with a length â the distance between the centers of vortices of the same level l. The formula for the transverse force can be useful for analyzing and calculating self-oscillations that occur during the transverse flow of long structures: threads, cables and pipes.