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Experimental Study on Parametric Anti-resonances of an Axially Forced Beam

机译:轴向强制梁参数抗共振的实验研究

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Long and flexible beam structures are in use in various fields of engineering. Vibration problems are common with such structures due to high flexibility and low damping. Therefore, new ideas to enhance the damping of lateral vibrations are of interest. In this experimental study, a slender non-metaliic cantilever beam is subject to periodic forcing along the beam axis. The force is generated by a wire, which is attached to the free end and runs to the clamped end of the beam, where it is connected to a piezoelectric stack actuator. Operating in an uncontrolled mode, the actuator extends proportionally to an input signal that results in a force according to the total axial stiffness of the structure. By applying a pre-tension to the beam, the axial force at the tip of the beam can be modulated in time by the actuator and the system becomes parametrically excited. For modulation frequencies near non-resonant parametric resonances it is known from theoretical studies that such a system will exhibit increased damping properties. This study presents measurement results on such a system, verifying theoretical predictions and confirming first measurements. It is shown that the attenuation of free vibrations can be increased significantly by the proposed method. While the appropriate frequency must be met within rather narrow limits to achieve best results, the method is relatively insensitive to a distortion of the harmonic input signal and also quite tolerant regarding amplitude fluctuations.
机译:在各种工程领域中使用了长而柔性的梁结构。由于具有高柔韧性和低阻尼的这种结构,振动问题很常见。因此,提高横向振动阻尼的新想法是感兴趣的。在该实验研究中,细长的非金属悬臂梁受到沿梁轴的周期性强制。该力由导线产生,该电线连接到自由端并延伸到梁的夹紧端,在那里它连接到压电堆致动器。在不受控制的模式下操作,致动器与根据结构的总轴向刚度的力成比例地延伸到输入信号。通过将预张力施加到梁,可以通过致动器调制梁的尖端处的轴向力,并且该系统变为参数激发。对于在非共振参数附近的调制频率,从理论研究中已知,这种系统将表现出增加的阻尼性能。本研究提出了这种系统的测量结果,验证了理论预测并确认第一测量。结果表明,通过所提出的方法可以显着增加自由振动的衰减。虽然必须在相当狭窄的限度内满足适当的频率以实现最佳结果,但该方法对谐波输入信号的失真相对不敏感,并且还具有关于幅度波动的耐受性。

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