In the rotating systems, the torsional vibration of damped rotors usually appears and induces the imbalance of systems. The dynamic vibration absorber (DVA) is used for reducing the torsional vibration of damped rotors. Recent researches have shown that traditional methods are suitable for reducing the torsional vibration of weak damped rotors. However, the traditional methods will cause significant errors for high-damped rotors. Therefore, a novel method is proposed to suppress the torsional vibration of high-damped rotors using a dynamic vibration absorber based on Weighted Dual Estimation (WDE) of equivalent linearization techniques. The high-damped rotor is replaced approximately by an equivalent undamped rotor based on the WDE of equivalent linearization techniques. Two closed-form expressions for a suitable system of springs and viscous dampers of the optimal DVA are determined to suppress the torsional vibration of high-damped rotors. The numerical analysis results show that the torsional vibration of the high-damped rotor has surprisingly reduced at the resonant frequency region by using the optimal DVA. The proposed expressions for a suitable system of springs and viscous dampers of the optimal DVA are reliable for suppressing the torsional vibration of a highly damped rotor.

中文翻译：

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基于等效线性化技术加权对偶估计的动态减振器抑制高阻尼转子扭转振动

在旋转系统中，通常会出现阻尼转子的扭转振动，并引起系统的不平衡。动态减振器（DVA）用于减少阻尼转子的扭转振动。最近的研究表明，传统方法适用于减少弱阻尼转子的扭转振动。然而，传统方法对于高阻尼转子会产生很大的误差。因此，提出了一种使用基于等效线性化技术的加权对偶估计（WDE）的动态吸振器来抑制高阻尼转子扭转振动的新方法。基于等效线性化技术的WDE，将高阻尼转子近似替换为等效无阻尼转子。确定了最佳 DVA 的合适弹簧和粘性阻尼器系统的两个闭式表达式，以抑制高阻尼转子的扭转振动。数值分析结果表明，通过使用最佳DVA，高阻尼转子的扭转振动在谐振频率区域得到惊人的降低。所提出的最佳 DVA 的合适弹簧和粘性阻尼器系统的表达式对于抑制高阻尼转子的扭转振动是可靠的。