INVESTIGATION OF NATURAL FREQUENCIES AND MODE SHAPES OF BUCKLED BEAMS
INVESTIGATION OF NATURAL FREQUENCIES AND MODE SHAPES OF BUCKLED BEAMS
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DOI：
10.2514/3.12669
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发表时间：
1995-06-01
期刊：
影响因子：
2.5
通讯作者：
ANDERSON, TJ
中科院分区：
文献类型：
--
作者：
NAYFEH, AH;KREIDER, W;ANDERSON, TJ
对屈曲梁的线性振动模式进行了理论分析和实验研究。假设一个静态屈曲形状对应于第n屈曲模式，一个精确的解决方案，获得的线性模式和相关的频率的初始屈曲梁与固定-固定，固定-铰接，铰接-铰接边界条件。对于固定-固定情况，第一模态屈曲梁的解析解得到了实验验证。分析得到的固有频率与实验结果非常吻合。这些精确的线性模态为研究屈曲梁的非线性振动提供了基础。
The linear modes of vibration of buckled beams are investigated analytically and experimentally. Assuming a static buckled shape corresponding to the nth buckling mode, an exact solution is obtained for the linear modes and associated frequencies of initially buckled beams with fixed-fixed, fixed-hinged, and hinged-hinged boundary conditions. The analytical solution for a first-mode buckled beam is validated experimentally for the fixed-fixed case. The analytically obtained natural frequencies are in excellent agreement with those obtained experimentally. These exact linear modes provide a basis from which to study the nonlinear vibrations of buckled beams.