一类驰振问题的非线性动力学研究

NONLINEAR DYNAMICS STUDY ON A KIND OF GALLOPING PROBLEM

研究半圆柱体模型在气动载荷作用下的非线性动力学行为。利用计算流体力学软件FLUENT和符号代数软件Mathematica对系统进行分析。利用平均法对系统进行了近似求解,得到了系统的运动相图及时间历程曲线,结果表明系统运动收敛于稳定的极限环,所得结果与实验吻合得较好。提出了一种综合运用Fluent软件和非线性动力学理论研究驰振问题的方法。

Nonlinear dynamics of a half cylinder model under aerodynamic load is studied.The model is analyzed by CFD software FLUENT and symbol algebra language Mathematica.The averaging method is used to analyze this model,the phase diagrams and the time history curve of this system are achieved,the results show that its movement converges to a limit circle oscillation.It demonstrates that the results obtained by the averaging method coincide with those by experiment well.A new method for study on galloping using CFD software Fluent and nonlinear dynamic theory is presented here.