西南交通大学学报2013，Vol.48Issue(2)：217-222,6.DOI:10.3969/j.issn.0258-2724.2013.02.005
外激励作用下亚音速二维粘弹性壁板系统的混沌运动
Chaotic Motion of Two-Dimensional Viscoelastic Panel with External Excitation in Subsonic Flow
摘要
Abstract
In order to study the nonlinear dynamics of a panel subjectedto external excitation in subsonic flow,the nonlinear governing motion equations of a two-dimensional forced subsonic viscoelastic panel were established by Hamilton theory,and discretized to a series of ordinary differential equations using the Galerkin method.Then,the system equilibrium points and their stability were analyzed,and Melnikov's method was used to obtain the critical values of system parameters for chaos appearance.The critical relations between the external excitation amplitude,frequency,and flow velocity were discussed and compared with the results of chaotic motions by numerical simulation.The results show that the number of equilibrium points and their stability will change after the dimensionless dynamic pressure exceeds 64.42,and the critical parameters determined by Melnikov's method match up to those obtained by numerical simulation.Therefore,the proposed method can be used to judge whether the chaotic motion happens or not.关键词
亚音速流/壁板/混沌/Melnikov方法Key words
subsonic flow/thin panel/chaos/Melnikov's method分类
数理科学引用本文复制引用
李鹏,杨翊仁,鲁丽..外激励作用下亚音速二维粘弹性壁板系统的混沌运动[J].西南交通大学学报,2013,48(2):217-222,6.基金项目
国家自然科学基金资助项目(10972185,10902103,11102170,11102172) （10972185,10902103,11102170,11102172）
中央高校基本科研业务费专项资金资助项目(SWJ-TU11CX071,2682013XC026)项目 （SWJ-TU11CX071,2682013XC026）
