The wash-out filter （WF） technique is used to control the flutter of a two dimensional airfoil with cubic non-linearity in incompressible flow. Firstly, Hopf bifurcation theory is used to determine the point at whic...The wash-out filter （WF） technique is used to control the flutter of a two dimensional airfoil with cubic non-linearity in incompressible flow. Firstly, Hopf bifurcation theory is used to determine the point at which the nonlinear controller is introduced. The system is then transformed into Jordan canonical form, based on analysis of linearized eigenvalues of the system. Secondly, for the introduced WF controller, the linear control gain is determined according to Hopf bifurcation condition. The sym- bolic computing program of normal form direct method （NFDM） is also used to obtain the normal form of the controlled system. The non-linear control gain can be determined based on the relation of the type of bifurcation and the parameters of the normal form, to transform sub-critical Hopf bifurcation to be su- per-critical one. Lastly, numerical simulations are used to certify the validity of theoretical analysis, in which the amplitude of flutter or limit cycle of the controlled system is reduced greatly, comparing to the original system.展开更多
以某主跨820 m PK箱梁斜拉桥为背景,借助节段模型风洞试验并结合二维三自由度颤振分析理论方法(2D-3DOF method),进行了大跨度桥梁PK箱梁断面成桥状态颤振性能研究,提出了"软颤振"临界风速扭转响应根方差、峰值因子和阻尼比...以某主跨820 m PK箱梁斜拉桥为背景,借助节段模型风洞试验并结合二维三自由度颤振分析理论方法(2D-3DOF method),进行了大跨度桥梁PK箱梁断面成桥状态颤振性能研究,提出了"软颤振"临界风速扭转响应根方差、峰值因子和阻尼比综合判定标准,并对三种尺寸抑流板颤振控制效果与驱动机理进行探索。研究表明,PK箱梁断面成桥状态具有明显的"软颤振"特点,而且风攻角效应明显,特别是0~°和+3~°颤振临界风速差异显著,主要是由于0~°攻角表现为"弯扭耦合颤振",+3~°攻角为"单自由度扭转颤振",两者气动阻尼变化规律差异明显而表现出不同的颤振特点;抑流板能有效提高PK箱梁断面+3~°攻角的颤振临界风速,其增加了颤振耦合程度,虽然会激起更多的不利耦合气动阻尼,但是扭转运动自身产生的气动阻尼对系统的稳定作用也增强,气动阻尼之间的竞争将决定系统最终的发散。展开更多
研究了在不可压缩流中具有立方非线性俯仰刚度的二元机翼的颤振问题。首先,对系统平衡点进行了特征值分析,得到在Hopf分岔点附近的颤振参数方程。然后,应用规范形直接法的M ap le推导程序,计算得到Hopf分岔的规范形,并数值模拟验证了超...研究了在不可压缩流中具有立方非线性俯仰刚度的二元机翼的颤振问题。首先,对系统平衡点进行了特征值分析,得到在Hopf分岔点附近的颤振参数方程。然后,应用规范形直接法的M ap le推导程序,计算得到Hopf分岔的规范形,并数值模拟验证了超、亚临界类型分岔情形下响应对初值的依赖性。最后,分析了线性和非线性刚度系数对颤振响应拓扑结构的影响。展开更多
文摘The wash-out filter （WF） technique is used to control the flutter of a two dimensional airfoil with cubic non-linearity in incompressible flow. Firstly, Hopf bifurcation theory is used to determine the point at which the nonlinear controller is introduced. The system is then transformed into Jordan canonical form, based on analysis of linearized eigenvalues of the system. Secondly, for the introduced WF controller, the linear control gain is determined according to Hopf bifurcation condition. The sym- bolic computing program of normal form direct method （NFDM） is also used to obtain the normal form of the controlled system. The non-linear control gain can be determined based on the relation of the type of bifurcation and the parameters of the normal form, to transform sub-critical Hopf bifurcation to be su- per-critical one. Lastly, numerical simulations are used to certify the validity of theoretical analysis, in which the amplitude of flutter or limit cycle of the controlled system is reduced greatly, comparing to the original system.
文摘以某主跨820 m PK箱梁斜拉桥为背景,借助节段模型风洞试验并结合二维三自由度颤振分析理论方法(2D-3DOF method),进行了大跨度桥梁PK箱梁断面成桥状态颤振性能研究,提出了"软颤振"临界风速扭转响应根方差、峰值因子和阻尼比综合判定标准,并对三种尺寸抑流板颤振控制效果与驱动机理进行探索。研究表明,PK箱梁断面成桥状态具有明显的"软颤振"特点,而且风攻角效应明显,特别是0~°和+3~°颤振临界风速差异显著,主要是由于0~°攻角表现为"弯扭耦合颤振",+3~°攻角为"单自由度扭转颤振",两者气动阻尼变化规律差异明显而表现出不同的颤振特点;抑流板能有效提高PK箱梁断面+3~°攻角的颤振临界风速,其增加了颤振耦合程度,虽然会激起更多的不利耦合气动阻尼,但是扭转运动自身产生的气动阻尼对系统的稳定作用也增强,气动阻尼之间的竞争将决定系统最终的发散。
文摘研究了在不可压缩流中具有立方非线性俯仰刚度的二元机翼的颤振问题。首先,对系统平衡点进行了特征值分析,得到在Hopf分岔点附近的颤振参数方程。然后,应用规范形直接法的M ap le推导程序,计算得到Hopf分岔的规范形,并数值模拟验证了超、亚临界类型分岔情形下响应对初值的依赖性。最后,分析了线性和非线性刚度系数对颤振响应拓扑结构的影响。
