弹性地基上输流管道主参数共振的主动振动控制  

Active vibration control for principal parametric resonance of pipes conveying fluid resting on an elastic foundations

作　　者：王忠民[1] 邹德志[1] 姜全友[1] 

机构地区：[1]西安理工大学土木建筑工程学院,西安710048

出　　处：《振动与冲击》2016年第4期182-187,共6页Journal of Vibration and Shock

基　　金：国家自然科学基金(11272254);陕西省自然科学基础研究计划项目(2015JM1029)

摘　　要：研究了弹性地基上输送脉动流管道主参数共振的主动振动控制问题。在管道上、下两侧对称的粘贴一对陶瓷压电片,利用压电效应使压电片对管道施加控制力矩。对运动微分方程中由控制力矩产生的Dirac Delta函数对轴向坐标的一阶导数,利用Fourier级数进行展开,再采用微分求积法对控制微分方程和边界条件进行离散化处理,得到了时变系统的状态方程。以管道的横向振动变形和输入控制能量之和达到最小的最优控制原则,对简支输送脉动流管道的时变系统受控前后某些点的挠度响应进行了数值仿真。数值计算结果表明,采用的最优控制方案能有效地控制输送脉动流管道的主参数共振问题。The active vibration control for principal parametric resonance of a pipe conveying pulsating fluid resting on an elastic foundation was studied. Using piezoelectric effect of piezoelectric materials,a pair of piezoelectric ceramic patches was pasted symmetrically on above and below the pipe to impose control moment to the pipe. The first derivative of Dirac Delta function with respect to the axial coordinate resulting from a control moment term of the differential equations of motion was expanded to a Fourier series. Employing the differential quadrature method,the differential equations of motion and boundary condition of the pipe were discretized,and then the state equations for the time-varying system were derived. The target of the optimal control was that the sum of transverse vibration energy of the pipe conveying fluid and the input control energy could be minimized simultaneously. The numerical simulations for some points’ deflection responses of a simply supported pipe conveying pulsating fluid were implemented under uncontrolled and controlled. The numerical results showed that the optimal control scheme can effectively control the principal parametric resonance of the pipe conveying pulsating fluid.

关 键 词：输送脉动流管道 弹性地基 微分求积法 最优控制法 压电效应 

分 类 号：TV134[水利工程—水力学及河流动力学]