摘要
对定常流作用下含立方非线性刚度的二元机翼颤振系统的二重半稳环分叉以及超临界Hopf分叉和次临界Hopf分叉进行了研究.在以线性刚度系数和流速为参数的二维参数平面内,求出了发生Hopf分叉的边界曲线的解析解,用谐波平衡法结合流速 等效刚度 颤振振幅关系耦合图找到了发生二重半稳极限环分叉的临界流速值.
Bifurcations of 2-multiple semi-stable limit cycles, as well as supercritical and subcritical Hopf bifurcations of an airfoil flutter system with cubic nonlinearity in incompressible flows were studied. Air speed and the linear stiffness coefficient of pitching were taken to form a 2-dimensional parameter plane, and the analytic solutions of critical boundaries of Hopf bifurcations were obtained in the 2-dimensional parameter plane. As a result, the critical speed and linear stiffness for bifurcations of the 2-multiple semi-stable limit cycles were determined by means of harmonic balance method.
出处
《西南交通大学学报》
EI
CSCD
北大核心
2004年第5期638-640,669,共4页
Journal of Southwest Jiaotong University
基金
国家自然科学基金资助项目(10272092)
关键词
非线性系统
机翼颤振
二重半稳环
分叉
谐波平衡法
non-linear systems
airfoil flutter
2-multiple semi-stable limit cycle
bifurcation
harmonic balance method
