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Point-driven modern Chladni figures with symmetry breaking

机译:点驱动的现代Chladni人物具有对称性打破

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Point-driven modern Chladni figures subject to the symmetry breaking are systematically unveiled by developing a theoretical model and making experimental confirmation in the orthotropic brass. The plates with square shape are employed in the exploration based on the property that the orientation-dependent elastic anisotropy can be controlled by cutting the sides with a rotation angle with respect to the characteristic axes of the brass. Experimental results reveal that the orientation symmetry breaking not only causes the redistribution of resonant frequencies but also induces more resonant modes. More intriguingly, the driving position in some of new resonant modes can turn into the nodal point, whereas this position is always the anti-node in the isotropic case. The theoretical model is analytically developed by including a dimensionless parameter to consider the orientation symmetry-breaking effect in a generalized way. It is numerically verified that all experimental resonant frequencies and Chladni patterns can be well reconstructed with the developed model. The good agreement between theoretical calculations and experimental observations confirms the feasibility of using the developed model to analyze the modern Chladni experiment with orientation symmetry breaking. The developed model is believed to offer a powerful tool to build important database of plate resonant modes for the applications of controlling collective motions of micro objects.
机译:通过建立理论模型并在正交各向异性黄铜中进行实验确认,系统地揭示了受到对称破坏的点驱动现代Chladni人物。在勘探中采用方形板是基于这样的特性,即可以通过切开相对于黄铜特征轴的旋转角度来控制与方向相关的弹性各向异性。实验结果表明,取向对称性的破坏不仅引起共振频率的重新分布,而且引发了更多的共振模态。更有趣的是,某些新共振模式下的驱动位置可能会变成节点,而在各向同性情况下,该位置始终是波腹。通过包括无量纲参数来分析地开发理论模型,以广义方式考虑取向对称性破坏效应。经数值验证,所开发的模型可以很好地重建所有实验谐振频率和Chladni模式。理论计算和实验观察之间的良好一致性,证实了使用开发的模型分析具有方向对称性破坏的现代Chladni实验的可行性。据信,所开发的模型可提供强大的工具来建立板共振模式的重要数据库,以用于控制微对象的集体运动。

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