Nonlinear Dynamics of Motion of a Cylindrical Body with an Elastic Coupling in a Viscous Continuum

IF 0.8 4区物理与天体物理 Q4 PHYSICS, APPLIED

Technical Physics Letters Pub Date : 2024-08-30 DOI:10.1134/s1063785024700494

S. O. Gladkov, S. B. Bogdanova

引用次数: 0

Abstract

Using the constructed Lagrange function \(L\) and calculated dissipative function \(\dot {Q}\), a general system of dynamic equations has been obtained to describe the motion of a cylindrical body completely immersed in a fluid. It is assumed that the body is hinged at its one end where the origin of coordinates is selected. The free end can make almost any motions and is elastically held by a spring at an arbitrary point. The problem is solved in a spherical coordinate system in which differential equations of motion are derived in terms of two independent angular variables \(\theta \) and \(\varphi \) taking into account the viscosity \(\eta \) of a continuum.

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粘性连续介质中具有弹性耦合的圆柱形物体的非线性动力学运动

摘要利用构造的拉格朗日函数（L）和计算的耗散函数（\dot {Q}\），得到了一个描述完全浸没在流体中的圆柱形体运动的一般动力方程组。假定物体的一端是铰链，坐标原点选在这一端。自由端几乎可以做任何运动，并被弹簧弹性地固定在任意点上。问题在球面坐标系中求解，其中的运动微分方程是根据两个独立的角变量\(\theta \)和\(\varphi \)导出的，同时考虑到了连续体的粘度\(\eta \)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Technical Physics Letters 物理-物理：应用

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

2-4 weeks

期刊介绍： Technical Physics Letters is a companion journal to Technical Physics and offers rapid publication of developments in theoretical and experimental physics with potential technological applications. Recent emphasis has included many papers on gas lasers and on lasing in semiconductors, as well as many reports on high Tc superconductivity. The excellent coverage of plasma physics seen in the parent journal, Technical Physics, is also present here with quick communication of developments in theoretical and experimental work in all fields with probable technical applications. Topics covered are basic and applied physics; plasma physics; solid state physics; physical electronics; accelerators; microwave electron devices; holography.