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THEORETICAL AND EXPERIMENTAL ANALYSIS OF COUPLED FLEXURAL-TORSIONAL VIBRATIONS OF ROTATING BEAMS

机译:旋转光束耦合弯曲扭转振动的理论与实验分析

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In this paper, the flexural-torsional vibrations of a segmented cantilever beam are considered both theoretically and experimentally under steady-state base rotation. While operating in this steady-state, a piezoelectric actuator is used to excite the beam at various test frequencies. Further, through preliminary investigations, it is demonstrated that accelerometer measurements are not suitable for such a testing apparatus, as these sensors add complex unmodeled dynamics and change the natural frequencies of vibration. The resulting unmodeled dynamics appear to be caused by a large initial deflection due to the added sensor mass, contradicting the conventional assumption that the beam is initially undeformed. This initial bending results in a Coriolis acceleration, and consequently produces a substantial deviation from the anticipated tip response. To further investigate the effect of base rotation on flexural vibrations, experiments were performed in the absence of piezoelectric excitation, both with and without the tip mass. For these conditions, the theory uniformly predicts no flexural or torsional vibrations, while the experimental results demonstrate significant vibrations in both cases. These discrepancies illuminate the presence of significant unmodeled dynamics that are neglected in the conventional mathematical modeling, potentially invalidating the classical simplifications when considering rotating beams.
机译:在本文中,在稳态基础旋转下理论上和实验地认为分段悬臂梁的弯曲扭转振动。在这种稳态操作的同时,使用压电致动器以各种测试频率激发光束。此外,通过初步调查,证明加速度计测量不适用于这种测试装置,因为这些传感器增加了复杂的未拼质动力学并改变振动的自然频率。由于所添加的传感器质量,所得到的未铭出动态似乎是由大的初始偏转引起的,与梁最初未变形的传统假设相反。这种初始弯曲导致科里奥利加速度,因此产生与预期尖端响应的显着偏差。为了进一步研究基础旋转对弯曲振动的影响,在没有压电激发的情况下进行实验,两者都有和没有尖端质量。对于这些条件,理论均匀地预测弯曲或扭转振动,而实验结果表明两种情况下的显着振动。这些差异照亮了在常规数学建模中忽略了忽略的显着的未铭出动态的存在,潜在地在考虑旋转光束时使经典简化无效。

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