Effect of Coulomb Damping on Buckling of a Two-Rod System
Effect of Coulomb Damping on Buckling of a Two-Rod System
复制标题
库仑阻尼对两杆系统屈曲的影响
DOI：
10.1023/a:1008254105372
复制
发表时间：
1998
影响因子：
5.6
通讯作者：
N. Aoshima
中科院分区：
文献类型：
--
作者：
H. Yabuno;Yoshinori Kurata;N. Aoshima
本文使用简单的两杆系统描述了轻微库仑阻尼对屈曲的显着影响。库仑阻尼在干草叉分叉下在众所周知的稳定和不稳定稳态周围产生平衡区域，这种分叉发生在没有库仑阻尼的情况下。此外，还使用相图检查了平衡区域中状态的稳定性。因此，由于存在轻微的库仑阻尼，从理论上讲，即使在无库仑阻尼的情况下，即使在干草叉分岔下的不稳定稳态附近，即在后屈曲中的不稳定平凡稳态和亚临界干草叉分岔下的不稳定非平凡稳态附近，平衡区的状态也是局部稳定的。此外，实验结果与理论预测的现象定性一致。
This paper describes a significant influence of a slight Coulomb damping on buckling, using a simple two rods system. Coulomb damping produces equilibrium regions around the well-known stable and unstable steady states under the pitchfork bifurcation which occurs in the case without Coulomb damping. Also, the stability of the states in the equilibrium regions is examined by using the phase portrait. As a consequence, due to the slight Coulomb damping, it is theoretically clarified that the states in the equilibrium regions are locally stable, even in the neighborhood of the unstable steady states under the pitchfork bifurcation in the case without Coulomb damping, i.e., even in the neighborhood of the unstable trivial steady states in the postbuckling and the unstable nontrivial steady states under the subcritical pitchfork bifurcation. Furthermore, the experimental results are in qualitative agreement with the theoretically predicted phenomena.