摘要
针对半主动颗粒阻尼器建立其分数阶模型,通过试验及参数识别确定了分数阶参数与实际物理量之间的定量关系。试验结果表明:分数阶系数与颗粒填充率之间满足线性关系,而分数阶阶次与外圈电流满足三次多项式关系;研究了一类含分数阶半主动颗粒阻尼器的单自由度隔振系统,通过平均法求解了其解析解,并基于Grünwald-Letnikov分数阶定义得到其离散化数值解,对比表明解析解和数值解具有良好的一致性;分析了分数阶参数对隔振系统稳态响应的影响规律。研究结果表明:随着分数阶阶次的增大或是分数阶系数的减小,系统稳态响应幅值逐渐减小;通过观察幅频响应曲线可知阶次值的变化会引发"频移"现象,同时推导出了分数阶系统的最优阶次值为1.47。
Here,the fractional-order model of semi-active particle damper was established.Quantitative relations between fractional-order parameters and actual physical quantities were determined through tests and parametric identification.The results showed that the fractional-order coefficient and particle filling rate satisfy a linear relation,while the order value of fractional-order and outer ring current satisfy a cubic polynomial relation.Then,a kind of single-DOF vibration isolation system with fractional-order semi-active particle damper was studied.Its analytical solution was solved by means of the average method,and its discrete numerical solution was obtained based on Grünwald-Letnikov fractional-order definition.The comparison showed that the two solutions have a good consistency.Finally,effect laws of fractional-order parameters on the steady-state response of the isolation system were analyzed.The study showed that with increase in the order value of fractional-order or decrease in fractional-order coefficient,the system steady-state response amplitude gradually decreases;the frequency shifting phenomenon appears due to the change of order value through observing the system’s amplitude-frequency response curve;the deduced optimal order value of fractional-order is 1.47.
作者
薛程
夏兆旺
卢志伟
鞠福瑜
茅凯杰
XUE Cheng;XIA Zhaowang;LU Zhiwei;JU Fuyu;MAO Kaijie(School of Energy and Power,Jiangsu University of Science and Technology,Zhenjiang 212003,China;School of Marine Electrical and Intelligent Engineering,Jiangsu Maritime Institute,Nanjing 211100,China;Shanghai Marine Diesel Engine Research Institute,Shanghai 201108,China)
出处
《振动与冲击》
EI
CSCD
北大核心
2021年第21期194-200,共7页
Journal of Vibration and Shock
基金
江苏省自然科学基金(BK2019332)。
