面内平动功能梯度斜板的主动振动控制

发布时间：2019-03-28 14:17

【摘要】：对新型功能梯度材料制成的面内平动斜板,通过直角坐标系和斜角坐标系的坐标变换,建立了在斜角坐标系下受多个集中控制力作用的横向振动控制微分方程。采用微分求积法,将微分方程和边界条件对空间坐标进行离散化处理,得到了时域内振动控制系统的状态方程。应用最优控制法,对面内平动功能梯度斜板的无量纲运动速度小于一阶无量纲临界速度时的等幅振动和大于一阶无量纲临界速度时的发散失稳两种情况进行了数值仿真,得到控制前后若干个节点挠度随时间的变化曲线。结果表明,该方法能够有效地控制面内平动功能梯度斜板的横向振动,特别是对于发散失稳的抑制。
[Abstract]:In this paper, an in-plane translational inclined plate made of a new type of functional gradient material is transformed by the coordinate transformation of the rectangular coordinate system and the bevel coordinate system, and a lateral vibration control differential equation under the oblique coordinate system under a plurality of concentrated control forces is established. A differential quadrature method is used to discretize the spatial coordinates of the differential equation and the boundary condition, and the state equation of the vibration control system in the time domain is obtained. By using the optimal control method, the dimensionless movement speed of the functionally gradient inclined plate is less than that of the first-order non-dimensional critical velocity, and the two conditions of the divergence instability when the first-order non-dimensional critical velocity is greater than the first-order non-dimensional critical velocity are simulated numerically, And the change curve of the deflection over time of a plurality of nodes before and after the control is obtained. The results show that the method can effectively control the lateral vibration of the in-plane translation function gradient swash plate, in particular for the suppression of the divergence instability.
【作者单位】：西安理工大学土木建筑工程学院;
【基金】：国家自然科学基金项目(11272254) 陕西省自然科学基础研究计划项目(2015JM1029)
【分类号】：O328

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