Residual mode correction in calibrating nonlinear damper for vibration control of flexible structures
Residual mode correction in calibrating nonlinear damper for vibration control of flexible structures
复制标题
柔性结构振动控制非线性阻尼器标定中的残余模态修正
DOI：
10.1016/j.jsv.2017.06.015
复制
发表时间：
2017-10
影响因子：
4.7
通讯作者：
Chen Lin
中科院分区：
文献类型：
--
作者：
Sun Limin;Chen Lin
剩余模态校正在柔性结构线性谐振吸收器的校准中起着至关重要的作用。经典模态表示增加了考虑非谐振模态的刚度和惯性修正项，提高了标定精度，同时避免了整个系统的复杂模态分析。本文通过研究粘滞阻尼器的拉紧索及其等效动力系统（eds），即与同一阻尼器连接的增广模态表示，探讨了非线性控制装置标定中的增广模态表示。针对非线性问题，采用谐波平衡法和数值延拓相结合的方法，对电磁脉冲系统的频响函数进行了详细的研究，并进行了参数标定。然后将EDSs的频响系数和相应的校准结果与文献中记录的不同结构模式、阻尼器位置和非线性的完整系统的频响系数进行比较。在现有的近似方法中，具有刚度和惯性校正（准动态校正）的能谱法表现最好。这表明增广模态表示虽然是从线性情况推导出来的，但适用于相对广泛的阻尼器非线性。用这种方法标定非线性器件仍然需要数值分析，但由于系统阶数降低，效率大大提高。
Residual mode correctionis found crucial in calibrating linear resonant absorbers for flexible structures. The classic modal representation augmented with stiffness and inertia correction terms accounting for non-resonant modes improves the calibration accuracy and meanwhile avoids complex modal analysis of the full system. This paper explores the augmented modal representation in calibrating control devices with nonlinearity, by studying a taut cable attached with a general viscous damper and its Equivalent Dynamic Systems (EDSs), i.e. the augmented modal representations connected to the same damper. As nonlinearity is concerned, Frequency Response Functions (FRFs) of the EDSs are investigated in detail for parameter calibration, using the harmonic balance method in combination with numerical continuation. The FRFs of the EDSs and corresponding calibration results are then compared with those of the full system documented in the literature for varied structural modes, damper locations and nonlinearity. General agreement is found and in particular the EDS with both stiffness and inertia corrections (quasi-dynamic correction) performs best among available approximate methods. This indicates that the augmented modal representation although derived from linear cases is applicable to a relatively wide range of damper nonlinearity. Calibration of nonlinear devices by this means still requires numerical analysis while the efficiency is largely improved owing to the system order reduction.
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DOI：
10.1061/(asce)0733-9445(2010)136:2(123
发表时间：
2010-02
期刊：
Journal of Structural Engineering-asce
影响因子：
--
作者：
F. Weber;J. Høgsberg;S. Krenk
通讯作者：
F. Weber;J. Høgsberg;S. Krenk
影响因子：
4.1
作者：
F. Weber;C. Boston
通讯作者：
F. Weber;C. Boston
DOI：
10.1061/(asce)em.1943-7889.0000878
发表时间：
2015-05
期刊：
Journal of Engineering Mechanics-asce
影响因子：
--
作者：
Lin Chen;Limin Sun
通讯作者：
Lin Chen;Limin Sun
影响因子：
2.7
作者：
A. Preumont
通讯作者：
A. Preumont
影响因子：
4.7
作者：
R. P. Eason;C. Sun;A. Dick;Satish Nagarajaiah
通讯作者：
R. P. Eason;C. Sun;A. Dick;Satish Nagarajaiah