计算力学学报2016，Vol.33Issue(6)：834-839,6.DOI:10.7511/jslx201606005
应用有限差分法的轴向流作用下叠层板的稳定性和模态分析
Buckling and modal analysis of coupled parallel flexible plates in an axial flow using the finite differential method
摘要
Abstract
The stability of the parallel plates with simply supported (or clamped) boundary conditions in uniform axial flow were studied .Flow viscosity and elastic damping are neglected ,and the flow around the plates is assumed potential .The governing equations of coupled parallel flexible plates in axial flow were derived .The finite differential method was employed to discrete the governing equation and the flow potential function .The governing equation can be expressed as the function of structural transverse vibration displacement by the matrix operations .The eigenvalue method was used to analyze the results of the coupled parallel flexible plates ,the results of w hich show that the models with simply supported (or clamped) boundary conditions undergo buckling instability when flow velocity reaches the critical value .The effects of their relative distance and the number of plates on critical flow velocities were discussed .The first mode of the coupled parallel flexible plates is not the in‐phase mode .关键词
叠层板/轴向流/横向振动/屈曲失稳/有限差分法Key words
parallel plates/axial low/transverse vibration/buckling instability/finite differential method分类
交通工程引用本文复制引用
董宇,杨翊仁,鲁丽,华斌..应用有限差分法的轴向流作用下叠层板的稳定性和模态分析[J].计算力学学报,2016,33(6):834-839,6.基金项目
国家自然科学基金（11372258，11302183）；湖南省教育厅一般项目（74189）资助项目． （）
