Asymptotic behavior of the eigenfrequencies of a thin elastic rod with non-uniform cross-section of extremely oblate shape
Asymptotic behavior of the eigenfrequencies of a thin elastic rod with non-uniform cross-section of extremely oblate shape
复制标题
极扁圆形非均匀截面细弹性杆特征频率的渐近行为
DOI：
10.1007/s00526-022-02325-1
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发表时间：
2023
期刊：
影响因子：
--
通讯作者：
H. Yoshihara
中科院分区：
文献类型：
--
作者：
S. Jimbo;E. Ushikoshi;H. Yoshihara
我们考虑了描述齐次各向同性弹性体振动的Lamé系统的本征值问题。在本文中，我们处理的是假定为变截面杆的弹性体。在这种情况下，我们考虑了当杆的横截面不是几何同位素时，低频本征值的渐近行为，并得到了极限值的刻画公式。
We consider the eigenvalue problem for the Lamé system, which describes the oscillation of the homogeneous isotropic elastic bodies in. In this paper, we deal with the elastic body which is supposed to be like a rod with non-uniform cross-section. In that case, we consider the asymptotic behavior of the low frequency eigenvalue, when the cross-section of this rod is not geometrically isotopic, and obtain the characterization formula for the limit value.