轨道非线性能量阱尖端效应分析及简化设计方法研究  

Tip Effect Analysis with a Simplified Design Method of Track Nonlinear Energy Sink

作　　者：张超[1] 郑雨强 王菁菁 ZHANG Chao;ZHENG Yuqiang;WANG Jingjing(College of Civil Engineering,Hunan University of Technology,Zhuzhou Hunan 412007,China;China Construction Fourth Engineering Division Co.Ltd.,Guangzhou 510000,China;College of Civil Engineering,Guangzhou University,Guangzhou 510006,China)

机构地区：[1]湖南工业大学土木工程学院,湖南株洲412007 [2]中国建筑第四工程局有限公司,广东广州510000 [3]广州大学土木工程学院,广东广州510006

出　　处：《湖南工业大学学报》2021年第2期1-6,共6页Journal of Hunan University of Technology

基　　金：国家自然科学基金资助项目(52078151);湖南省自然科学基金资助项目(2018JJ3123)。

摘　　要：尖端效应是轨道非线性能量阱力-位移关系中存在的一种特有的现象,未见于其他类型NES。为了得到轨道NES产生尖端效应的原因,并基于尖端效应进行轨道NES的设计,通过对轨道NES恢复力的公式推导,进行了轨道NES尖端效应的理论研究,并利用无阻尼轨道NES自由振动和有阻尼轨道NES受迫振动,对轨道NES的尖端效应进行了分析。研究结果表明,轨道NES恢复力中Fv的减小比Fa的减小更容易发生,Fv是轨道NES中产生尖端效应的主要原因,且在较大的位移处尖端效应更强。在Fv达到峰值以前,Fv和Fa的绝对值大小相似,且由于Fa和Fv的方向总是相反,Fd成为恢复力中最具有代表性的一项,可采用Fd作为其恢复力进行轨道NES的初步设计。As a particular phenomenon in the force displacement relationship of nonlinear energy sink(NES),tip effect is not found in other types of NES.In view of an inquiry into the reason of the tip effect of the orbital NES,and for a design of the track NES based on the tip effect,a theoretical research on the tip effect of NES has thus been carried out based on the formula derivation of the restoring force of NES,followed by an analysis of the tip effect of NES by using the free vibration of NES in undamped track and the forced vibration of NES in damped track.The results show that,with Fv being the main reason for the tip effect in the track NES,the decrease of Fv is more likely to occur than the decrease of Fa in the track NES,meanwhile the tip effect is stronger at the larger displacement.Before Fv reaches its maximum value,the absolute values of Fv and Fa are quantitatively similar,and because the signs of Fa and Fv are always opposite,Fd becomes the most representative term in the restoring force.Consequently,Fd can be used as the restoring force for the preliminary design of track NES.

关 键 词：尖端效应 轨道非线性能量阱 自由振动 受迫振动 恢复力 

分 类 号：O322[理学—一般力学与力学基础]