NONPERIODIC AND CHAOTIC VIBRATIONS IN A FLOW-INDUCED SYSTEM

被引：13

作者：

TONDL, A ^{[1
]}

NABERGOJ, R ^{[1
]}

机构：

[1] DEPT NAVAL ARCHITECTURE OCEAN & ENVIRONM ENGN,I-34127 TRIESTE,ITALY

来源：

CHAOS SOLITONS & FRACTALS | 1994年 / 4卷 / 12期

关键词：

D O I：

10.1016/0960-0779(94)90039-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A flow induced system, consisting of an elastically mounted body with a pendulum attached, is considered here. The stability of the semi-trivial solution, representing the vibration of the body with the non-oscillating pendulum, is investigated, The analytical investigation shows that at a certain flow velocity, higher than the critical one, the pendulum begins to oscillate due to autoparametric resonance. For a convenient tuning, the vibration of the system can be substantially reduced. The analysis of both semi-trivial and non-trivial solutions is complemented by numerical integration of the differential equations of motion. A mapping technique based on Poincare section, suitable for investigating the non-periodic vibrations occurring at higher flow velocities, is proposed.

引用

页码：2193 / 2202

页数：10