颤振板的极限环振动

 本文研究了在匀速气流中悬臂板的极限环振动。采用冯&;#183;卡门大挠度板理论和准定常空气动力,应用瑞雷-里兹法导出悬臂颤振板的非线性振动的计算方程。并提出一组模态函数展开式用于拉格朗日方程,从而确定随时间历程的极限环振动和颤振边界。计算表明,模态展开式具有收敛性,板的长宽比对极限环振幅有显著影响。

LIMIT CYCLE OSCILLATION OF A FLUTTERING PLATE

The limit cycle oscillation for a cantilever plate in a uniform flow stream is investigated in this paper. von&;#183;Karman's theory for a large deflection plate and quasi-steady aerodynamic theory are assumed. The equations for computing the nonlinear oscillation of a fluttering cantilever plate are derived by means of Rayleigh-Ritz approach. Lagra-nge' s equations and a set of mode function expansions are empoloyed. Time marching simulation is used to determine the limit cycle oscillation and fluttering boundary. The results indicate that the modal expansion is of convergence. The length-to-width ratio of a plate has a great effect on flutter amplitude of limit cycle.