阶梯轴中扭转弹性波主动控制研究

从一维扭转波动理论入手，就阶梯轴中变截面界面上扭转弹性波的反射和透射关系建立起了各轴段的扭转振动响应的数学表达式。并基于位移响应为目标控制函数，对二次源、误差传感器的布置位置进行了优化设计。从理论上模拟了主动控制效果。并对一个一级梯轴进行了弹性波主动控制的试验研究。结果表明，对于复杂的阶梯轴形式，采用简单的单一控制源和单一误差传感器的控制形式就能取得良好的控制效果。

INVESTIGATION ON ACTIVE CONTROL OF TORSIONAL ELASTIC WAVE IN STEPPED SHAFT SYSTEM

The propagating principle of torsional elastic wave and response in the shaft system is studied by means of elastic wave propagation theory. The transmissions of elastic wave in varying cross-section are considered. The vibration displacement amplitude at the error sensor is as cost function. The optimal position of secondary source and the error sensor are determined. The theoretical simulation and experimental investigation on active control are evaluated in one-stepped shafts. The results show that the active control of torsional wave could be successfully achieved by the feedforward controller with single control source and a single error sensor for any complicated multi-stepped shafts.