Small transverse vibrations of visco-elastic rods

被引：0
|
作者：
Gorokhova, I. V. [1 ]
机构：
[1] S Ukrainian Natl Pedag Univ, Odessa, Ukraine
来源：
MATHEMATICAL NOTES | 2011年 / 89卷 / 5-6期
关键词：
visco-elastic rod; transverse vibration; Sobolev space; spectral problem; operator pencil; self-adjoint operator; analytic function; OPERATOR PENCILS;
D O I：
10.1134/S0001434611050208
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the spectral problem related to the description of small transverse vibrations of homogeneous visco-elastic rods. The left end of the rod is hinged at the joint. The right end is attached to a concentratedmass. The spectrumof this problem is described and asymptotic formulas for eigenvalues are obtained.
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页码：792 / 798
页数：7
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