西南交通大学学报Issue(2)：388-392,5.DOI:10.3969/j.issn.0258-2724.2015.02.028
运动约束亚音速二维粘弹性壁板的非线性颤振
Nonlinear Flutter of a Two-Dimensional Viscoelastic Plate with Motion Constraints in Subsonic Flow
摘要
Abstract
In order to study the stability and nonlinear flutter of a cantilevered viscoelastic plate with nonlinear motion constraints in subsonic flow, the motion equation of the cantilevered plate is established by Hamilton theory. The equation is then transformed to a series of ordinary differential equations using the Galerkin method;the flutter and divergence is addressed and their boundaries are presented in a two-parameter space. The complex nonlinear behavior in the region of flutter instability is investigated using numerical simulations. The flutter region is divided into three subregions according to different types of plate motions. Results show that the plate loses it stability by flutter;the plate undergoes limit cycle motions due to the nonlinearity after flutter instability;period-3 and period-5 motions appear along with chaotic motions;and,with the dynamic pressure increasing,divergent motions occur finally.关键词
悬臂壁板/运动约束/亚音速流/颤振/分叉/混沌Key words
cantilevered plate/motion constraints/subsonic flow/flutter/divergence/chaos分类
数理科学引用本文复制引用
唐怀平,李鹏,杨翊仁..运动约束亚音速二维粘弹性壁板的非线性颤振[J].西南交通大学学报,2015,(2):388-392,5.基金项目
国家自然科学基金资助项目（11102170，11102172，51378437）；中央高校基本科研业务费专项资金资助项目 （）
