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首页> 外文会议>2002 ASME International Mechanical Engineering Congress and Exposition , Nov 17-22, 2002, New Orleans, Louisiana >VIBRATION ANALYSIS AND CONTROL OF A ROTATING FLEXIBLE ARM WITH ACLD TREATMENT
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VIBRATION ANALYSIS AND CONTROL OF A ROTATING FLEXIBLE ARM WITH ACLD TREATMENT

机译：旋转柔性臂ACLD处理的振动分析与控制

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摘要

In this paper, the vibration behavior and control of a clamped-free rotating flexible cantilever arm with fully covered Active Constrained Layer Damping (ACLD) treatment is investigated. The arm is rotating in a horizontal plane in which the gravitational effect and rotary inertia are neglected. The stress-strain relationship for the viscoelastic material (VEM) is described by a complex shear modulus while the shear deformations in the two piezoelectric layers are neglected. Hamilton's principle in conjunction with finite element method (FEM) is used to derive the nonlinear coupled differential equations of motion and the associated boundary conditions that describe the rigid hub angle rotation, the arm transverse displacement and the axial deformations of the three-layer composite. This refined model takes into account the effects of centrifugal stiffening due to the rotation of the beam and the potential energies of the VEM due to extension and bending. Active controllers are designed with PD for the piezo-sensor and actuator. The vibration frequencies and damping factors of the closed-loop beam/ACLD system are obtained after solving the characteristic complex eigenvalue problem numerically. The effects of different rotating speed, thickness ratio and loss factor of the VEM as well as different controller gain on the damped frequency and damping ratio are presented. The results of this study will be useful in the design of adaptive and smart structures for vibration suppression and control in rotating structures such as rotorcraft blades or robotic arms.
机译：本文研究了带有完全覆盖的主动约束层阻尼（ACLD）处理的自由夹紧旋转柔性悬臂的振动行为和控制。手臂在忽略重力作用和旋转惯性的水平面内旋转。粘弹性材料（VEM）的应力-应变关系由复剪切模量表示，而忽略了两个压电层中的剪切变形。汉密尔顿原理与有限元方法（FEM）结合使用，得出非线性耦合运动微分方程及相关边界条件，这些条件描述了刚性轮毂角旋转，臂横向位移和三层复合材料的轴向变形。这种改进的模型考虑了由于梁的旋转而产生的离心刚度的影响以及由于延伸和弯曲而产生的VEM的势能。有源控制器采用PD设计，用于压电传感器和执行器。通过数值求解特征复特征值问题，得到闭环梁/ ACLD系统的振动频率和阻尼因子。给出了VEM的不同转速，厚度比和损耗因数以及不同控制器增益对阻尼频率和阻尼比的影响。这项研究的结果将有助于设计自适应和智能结构，以抑制和控制旋转结构（例如旋翼飞机的叶片或机械臂）中的振动。

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