Interactions between an idealized rotating string and stationary constraints

Interactions between an idealized rotating string and stationary constraints
复制标题

理想化旋转弦与静止约束之间的相互作用

DOI：
--
复制
发表时间：
1995
期刊：
影响因子：
--
通讯作者：
S. G. Hutton
S. G. Hutton
中科院分区：
--
文献类型：
--
作者：
L. Yang;S. G. Hutton

文献摘要

被引文献

相似文献

摘要本文讨论了理想旋转圆弦与固定约束（包括弹簧、阻尼器、质量块或摩擦约束）之间的动力相互作用。本文用行波法导出了特征方程，证明了这种方法比传统的分离变量法更具有一般性。弦在其临界速度的响应进行检查，它表明，在临界速度的字符串不能自由振动。利用Galerkin方法有效地求解特征值，得到了近似解。弦和约束之间的相互作用的物理分析和近似解的基础上进行了讨论。
Abstract In this paper the dynamic interactions between an idealized rotating circular string and a stationary constraint, consisting of a spring, a damper, a mass or a frictional restraint, are discussed. The method of travelling waves is applied to develop the characteristic equation, and it is shown that this method is more general than the conventional method of separation of variables. The response of the string at its critical speed is examined, and it is shown that at the critical speed the string cannot vibrate freely. An approximate solution is generated using the Galerkin method to solve the eigenvalues effectively. The physics of the interactions between the string and the restraints is discussed on the basis of both analytical and approximate solutions.