Abstract Damping of coupled bending-torsion beam vibrations is realized by local actuators, operating axially on an end cross-section of a fully three-dimensional structure by a collective positive position feedback control with a spatial filter that specifically targets the out-of-plane warping component of the coupled response. To reduce the computational effort, a beam element model is introduced, in which a single control bimoment is supplemented by a fictitious stiffness that accounts for the inability of the local actuators to fully restrain warping. This fictitious stiffness is conveniently calibrated by frequency matching in the limit of infinite control gain and it enables accurate estimation of both complex roots and the stability limit from beam element analysis. It is demonstrated by a numerical example that substantial modal damping is attained by positive position feedback of the torsional warping component from the fully coupled response.

中文翻译：

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通过空间滤波翘曲位置反馈阻尼耦合弯扭梁振动

摘要 耦合弯扭梁振动的阻尼是由局部执行器实现的，通过集体正位置反馈控制在全三维结构的端部横截面上轴向运行，该控制具有专门针对平面外的空间滤波器。耦合响应的翘曲分量。为了减少计算工作量，引入了梁单元模型，其中单个控制双力矩由虚拟刚度补充，该刚度解释了局部执行器无法完全抑制翘曲的原因。这种虚拟刚度可以在无限控制增益的极限内通过频率匹配方便地校准，它可以通过梁单元分析准确估计复根和稳定性极限。