Vibration control of a string using a scabbard-like actuator
Vibration control of a string using a scabbard-like actuator
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DOI：
10.1016/j.jsv.2011.01.006
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发表时间：
2011-06-06
影响因子：
4.7
通讯作者：
Mukherjee, Ranjan
中科院分区：
文献类型：
--
作者：
Alsahlani, Assaad;Mukherjee, Ranjan
本文研究了在一个边界上受约束的振动弦的动力学。约束由鞘施加，鞘沿弦的平均位置沿着移动一小段距离。鞘被瞬间移动，使得在施加约束之后，鞘外部的弦的位置和速度不受影响，而被鞘覆盖的弦的长度被静止。通过将鞘移回其原始位置来移除约束，并且针对鞘行进距离的不同值和施加约束的时间来研究弦的能量的变化。分析和数值模拟结果首先提供的字符串振动的第一模式，然后为更一般的情况下，字符串具有任意的初始条件。结果表明，对于给定的鞘行程距离，弦的能量可以增加或减少，这取决于施加约束的时间。这提供了通过直接物理相互作用主动控制弦的振动的机会，使用鞘作为致动器。提出了一种简单的反馈控制策略，并给出了数值仿真结果。这些结果表明，虽然解除约束并不改变能量的字符串，控制策略的有效性取决于解除约束的时间。(C)2011爱思唯尔有限公司保留所有权利。
The dynamics of a vibrating string subjected to a constraint at one boundary is investigated in this paper. The constraint is applied by a scabbard that moves a small distance along the mean position of the string. The scabbard is moved instantaneously such that the position and the velocity of the string outside the scabbard is unaffected immediately after application of the constraint, whereas the length of the string covered by the scabbard is brought to rest. The constraint is removed by moving the scabbard back to its original position and the change in energy of the string is investigated for different values of scabbard travel distance and time of application of the constraint. Analytical and numerical simulation results are first provided for the string vibrating in the first mode, and then for a more general case where the string has arbitrary initial conditions. The results show that the energy of the string can increase or decrease depending on the time of application of the constraint for a given distance of travel of the scabbard. This provides the opportunity for active control of vibration of the string through direct physical interaction, using the scabbard as an actuator. A simple feedback control strategy is proposed and numerical simulation results are presented. These results indicate that although removal of the constraint does not change the energy of the string, the effectiveness of the control strategy depends on the time of removal of the constraint. (C) 2011 Elsevier Ltd. All rights reserved.