Transverse vibration spectrum of a part of a moving rod under a longitudinal load

被引:0
|
作者
L. D. Akulenko
D. V. Georgievskii
S. V. Nesterov
机构
[1] Russian Academy of Sciences,Ishlinsky Institute for Problems in Mechanics
[2] Lomonosov Moscow State University,undefined
来源
Mechanics of Solids | 2015年 / 50卷
关键词
rod motion; longitudinal force; flexural vibration; nonself-adjoint problem; Ferrari formulas; secular equation; natural frequencies;
D O I
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学科分类号
摘要
We study the natural transverse vibrations of a constant-length part of a rectilinear thin rod moving along a neutral line in unstrained state. The displacement occurs between two fixed coaxial rod guides (clamps) and the distance between them is equal to the length of the vibration part of the rod. Moreover, it is assumed that a constant longitudinal force acts along the neutral line, and two significantly different cases are distinguished: the force extends the rod, and the force compresses the rod.
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页码:227 / 231
页数:4
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