主共振激励下内嵌流体悬臂欧拉梁自适应减振性能研究

Investigation on self-adaptive vibration suppression for cantilever euler beam with interior inlaid fluid under principal resonance excitation

结合内嵌自主移动质量梁/板实验平台实验结果,对一、二阶主共振激励下内嵌流体悬臂欧拉梁自适应减振模型进行了数值模拟。通过简化,将实际的流固耦合模型近似转化为具有活动边界的流体动力学模型。模拟结果与实验现象吻合较好,揭示了封闭腔内流体在梁作用下的三种运动特征。分析了流体壁面压力曲线特征,并建立了它与流体运动特征间的联系。通过与梁振动位移比较后发现,壁面压力曲线在时间上存在有明显的滞后特性。基于能量耗散的观点,针对简化的流体动力学模型,提出了流体运动能耗量化准则,从流体运动层面给出了判定减振性能的量化标准。

Based on the results of experiments carried out on the workbench for the beam ＆ plate with interior inlaid freely moving mass, the self-adaptive vibration suppression was simulated for a cantilever Euler beam with interior inlaid fluid under the first and second principal resonance excitations. A hydrokinetic model with dynamic boundaries was established by simplifying the original liquid-solid model. The simulations results agree well with those of the experiments, fully revealing the three kinds of movements of the inlaid fluid. Fluid pressures acting on the walls were analyzed, and relations between the pressures and fluid movements were also provided. Compared with the vibration displacements of the beam, the pressures varying with time demonstrate a significant delay characteristic in time domain. With a view to the energy dissipation, a quantitative criterion was proposed to evaluate the damping effect due to the fluid movements in the simplified model.