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首页> 外文期刊>Indian Journal of Science and Technology >Vibration Suppression in Smart Thin Beams with Piezoelectric Actuators under a moving Load/Mass Accounting for Large Deflections of the Base Structure
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Vibration Suppression in Smart Thin Beams with Piezoelectric Actuators under a moving Load/Mass Accounting for Large Deflections of the Base Structure

机译：考虑到基础结构的大挠度，在移动载荷/质量下，压电致动器在智能薄梁中的振动抑制

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摘要

In this article, the motion equations of a single span Euler-Bernoulli beam with geometrically nonlinear behavior under an arbitrary dynamic loading are derived via the Hamilton's Principle. In order to actively control the response of the structure, piezoceramic patches bonded on the lower surface of the beam are utilized. Employing the Eigen Function Expansion Method and considering the first vibrational mode, an equivalent linear control algorithm based on the well-known classical linear optimal control algorithm with displacement-velocity feedback is proposed. Numerical examples for a simply supported beam with immovable-immovable and immovable-movable axial boundary conditions are presented under a moving load and mass excitations. By using a single piezoceramic patch bonded symmetrically at the beam mid-span, the deflection of the beam is decreased into any required levels for both linear and nonlinear behavior of the base beam and therefore, the good performance of the proposed control algorithm is proved.
机译：在本文中，通过汉密尔顿原理推导了单跨距Euler-Bernoulli梁在任意动态载荷下具有几何非线性行为的运动方程。为了主动控制结构的响应，利用了结合在梁下表面的压电陶瓷贴片。提出了一种基于特征函数展开法并考虑第一振动模式的等效线性控制算法，该算法基于著名的具有位移速度反馈的经典线性最优控制算法。在运动载荷和质量激励下，给出了具有不可移动和不可移动的轴向边界条件的简单支撑梁的数值示例。通过使用在梁的中跨处对称地粘结的单个压电陶瓷贴片，梁的挠度减小到基础梁的线性和非线性行为所需的任何水平，因此，证明了所提出的控制算法的良好性能。

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