两端固定输流管道在脉动内流作用下参数共振的最优控制

采用压电片作为控制执行元件,对两端固定输流管道在脉动流作用下的参数共振进行了最优控制.基于二次型性能指标最优控制原理,针对离散后的运动方程在零平衡点附近Jacobian矩阵的非时变部分设计了最优控制器.最后,通过数值仿真的方法对控制方案的有效性进行了验证.结果表明,该方案对输流管道在第一、第二振型次谐波共振区域及组合共振区域的参数共振的控制均有很好的效果.

Optimal control of parametric resonances of a clamped-clamped pipe conveying pulsating fluid

Active vibration control of a clamped-clamped pipe conveying pulsating fluid is investigated in this paper ,adopting piezoelectric pieces as the actuator. On the basis of linear second order optimal control theory , the control system is designed in accordance with the time variant part of the Jacobian matrix of the discretized equations at zero point . The validity of control scheme in the original system is then examined by using numerical simulation. The response comparison results between controlled system and non-controlled system shows that the controller can control sub-hamonic resonance of both the first and second modes and the combined resonance effectively.