受约束悬臂输流管振动的最优控制

使用压电片作为控制执行元件,对具有线性弹簧支承和三次非线性运动约束的悬臂输流管道的振动进行了最优控制·考虑压电片通上电流而产生伸缩后对管道施加的控制力矩,推导出了受控输流管系统的运动微分方程,并利用Galerkin方法对其进行了离散化处理·根据可同时使管道振动变形和控制输入能量达到最小的最优控制原则设计出了最优控制器,同时还对管道受控前后的运动响应进行了数值仿真,以验证该控制方案的有效性·通过比较发现,提出的最优控制方案不但能控制输流管的周期运动,而且对该系统的混沌运动也能进行有效控制·

Optimal Control of Vibration in Restrained Cantilever Piping for Fluid Delivery

Optimal vibration control in cantilever piping for fluid delivery,which is supported by a linear spring with nonlinear motion restratined was investigated theoretically taking a pipezoelectric vibrator as actuator. Considering the extra moment formed due to the extension/contraction of powered piezoelectric actuator, the differential equations of motion of the controlled piping system were derived and then discretized by Galerkin's method. A controller was designed on the basis of optimal regulator theory,i.e., the deflection of pipe and the input energy of control can both be minimized simultaneously. the motional responses to both controlled and non-controlled systems were examined by numerical simulations to verify the validity of the control scheme. Comparison between the results of both systems revealed that the optimal control scheme presented here can control effectively both periodic and chaotic vibrations in the piping system.