Dispersion spectrum of an anisotropic waveguide with sector-shaped cross section and fixed boundary

被引:4
作者
Kosmodamianskii, AS [1 ]
Moiseenko, IA [1 ]
Troyan, RR [1 ]
机构
[1] Donetsk Natl Univ, Donetsk, Ukraine
关键词
longitudinally anisotropic cylindrical waveguide; sector-shaped channel; traveling normal waves; dispersion spectrum;
D O I
10.1007/s10778-006-0006-2
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The dispersion equations are derived analytically for normal elastic waves in a longitudinally anisotropic cylindrical waveguide with circular cross-section and a sector-shaped channel of arbitrary angular measure. The boundary surfaces of the channel are covered with flexible, inextensible membranes. The cylindrical portion of the lateral surface is rigidly fixed. A numerical analysis of the dispersion equations reveals spectral branches of traveling normal waves with different types of symmetry of cross-sectional displacements and different circumferential wave numbers. Some features of the spectrum due to variation in the angular measure are established.
引用
收藏
页码:995 / 999
页数:5
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