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Non-linear vibration suppression of a composite panel subject to random acoustic excitation using piezoelectric actuators

机译:使用压电致动器的受到随机声激励作用的复合板的非线性振动抑制

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摘要

A coupled structural-electrical finite element model for the active control of the non-linear vibration of a composite panel bonded with piezoelectric materials under random excitation is presented in this paper. The von Karman non-linear strain-displacement relations for large deflection responses and linear piezoelectricity constitutive relations are employed, A new non-linear modal finite element formulation is developed for symmetrical vibration that differs from the models in previous studies in that the first-order non-linear terms, which depend on the unknown transverse displacement, are eliminated. The system equations of motion are transformed into a set of non-linear equations in modal coordinates. The advantage of this non-linear modal transformation method is that the sizes of the non-linear matrices are reduced drastically. The transformed system equations are then written in the state space format. Four different control methods- velocity feedback, lead, lag, and H{sub}∞-are employed and examined for cases of small- and large-amplitude vibrations, The effects of truncated modes on the control performance and comparisons of the control methods are studied,
机译:提出了一种在随机激励下主动控制压电材料粘结的复合板非线性振动的结构-电耦合有限元模型。利用了大挠度响应的von Karman非线性应变-位移关系和线性压电本构关系,针对对称振动开发了一种新的非线性模态有限元公式,该公式不同于先前研究的模型,因为一阶消除了取决于未知横向位移的非线性项。系统运动方程被转换为模态坐标中的一组非线性方程。这种非线性模态变换方法的优点是大大减小了非线性矩阵的大小。然后将变换后的系统方程式写成状态空间格式。对于小振幅和大振幅振动,采用了四种不同的控制方法-速度反馈,超前,滞后和H {sub}∞-,研究了截断模式对控制性能的影响以及控制方法的比较。研究过

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