The Effect of external Damping on the Stability of Beck's Column
The Effect of external Damping on the Stability of Beck's Column
复制标题
外部阻尼对贝克柱稳定性的影响
DOI：
10.1016/0020-7683(70)90026-0
复制
发表时间：
1970
影响因子：
3.6
通讯作者：
E. Infante
中科院分区：
文献类型：
--
作者：
R. Plaut;E. Infante
研究了有外阻尼的悬臂柱在常随动载荷作用下的稳定性。结果表明，临界载荷随阻尼的增大而增大，从零阻尼时的20.05EI/L2增大到大阻尼时的极限值37.7EI/L2。这种行为与内部阻尼柱和保守系统（外部阻尼对临界载荷没有影响）的行为形成鲜明对比。基于模态近似的分析结果与连续柱标准两自由度模型的研究结果相吻合。通过对精确频率方程的计算机分析，得到了进一步的证实。
The stability of a cantilevered column subjected to a constant follower load in the presence of external damping is investigated. It is shown that the critical load increases with increasing damping from the value of 20.05EI/L2at zero damping to the limiting value of 37.7EI/L2for large damping. This behavior is in marked contrast to that of the internally damped column and also to that of conservative systems (where external damping has no effect on the critical load).The results of this analysis, which are based on a modal approximation, are corroborated by the results obtained from the study of a standard two-degree-of-freedom model of the continuous column. Further confirmation is obtained from a computer analysis of the exact frequency equation.