Chaotic Vibrations of Nonlinearly Supported Tubes in Crossflow
Chaotic Vibrations of Nonlinearly Supported Tubes in Crossflow
复制标题
DOI：
10.1115/1.2929506
复制
发表时间：
1993-05
影响因子：
1
通讯作者：
Y. Cai;Shoei‐sheng Chen
中科院分区：
文献类型：
--
作者：
Y. Cai;Shoei‐sheng Chen
借助非定常流理论和双线性数学模型，对横流中非线性支撑管的流弹性不稳定性相关的混沌振动进行了理论研究。利用相图、功率谱密度、庞加莱图、李亚普诺夫指数、分形维数和分岔图等有效工具来区分管在不稳定区域振动时的周期运动和混沌运动。结果显示了与流体阻尼控制的不稳定性相对应的区域中的周期性运动和混沌运动。具有对称或不对称间隙的非线性支撑会显着影响在管-支撑-板非活动模式的不稳定区域中暴露于各种流速的管的周期性、准周期和混沌运动的分布。
By means of the unsteady-flow theory and a bilinear mathematical model, a theoretical study is presented for chaotic vibrations associated with the fluidelastic instability of nonlinearly supported tubes in a crossflow. Effective tools, including phase portraits, power spectral density, Poincare maps, Lyapunov exponent, fractal dimension, and bifurcation diagrams, are utilized to distinguish periodic and chaotic motions when the tubes vibrate in the instability region. The results show periodic and chaotic motions in the region corresponding to fluid-damping-controlled instability. Nonlinear supports, with symmetric or asymmetric gaps, significantly affect the distribution of periodic, quasiperiodic, and chaotic motions of a tube exposed to various flow velocities in the instability region of the tube-support-plate-inactive mode.