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Appearing ZGV point in the first flexural branch of Lamb waves in multilayered plates

机译:多层板中Lamb波第一弯曲分支中出现的ZGV点

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摘要

Appearing the zero group velocity (ZGV) point belonging to the first quasi flexural branch (A1) of Lamb waves propagating in the multilayered traction-free plates containing homogeneous isotropic layers is observed and analyzed; in contrast to the previously studied homogeneous isotropic plates admitting ZGV points that may belong to the higher flexural modes (A(2), A(3), ...) and higher symmetric modes. The detected ZGV point in a multilayered traction-free plate leads to the transverse quasi resonance occurred at the lower frequency than the previously studied resonance associated with the first symmetric mode (S1) and especially higher symmetric and flexural modes. The analysis is done by the combined method comprising Cauchy sextic formalism and the exponential fundamental matrix method.
机译:观察并分析了在包含均匀各向同性层的多层无牵引板中传播的Lamb波第一准弯曲分支(A1)的零群速度(ZGV)点;与先前研究的均匀各向同性板相反,ZGV点可能属于较高的弯曲模式(A(2),A(3)等)和较高的对称模式。在多层无牵引板中检测到的ZGV点导致横向准共振发生在比先前研究的第一对称模态(S1)相关的谐振更低的频率下,尤其是更高的对称模态和弯曲模态。该分析采用柯西六性形式法和指数基本矩阵法相结合的方法进行。

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