一类二自由度非线性能量阱系统的减振性能分析  

ANALYSIS OF VIBRATION REDUCTION PERFORMANCE OF A NEW TWO-DOF NONLINEAR ENERGY SINK

作　　者：杨一帆 王红兵 李国芳[1] 丁旺才[1] YANG Yifan;WANG Hongbing;LI Guofang;DING Wangcai(School of Mechanical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学机电工程学院,兰州730070

出　　处：《力学与实践》2021年第1期66-73,共8页Mechanics in Engineering

基　　金：国家自然科学基金(11962013,11732014);兰州交通大学-天津大学联合创新基金(2019059)资助项目。

摘　　要：研究了包含一类新型二自由度非线性能量阱的机械振动系统。建立非线性系统的运动微分方程,用泰勒级数展开近似表达二级振子所受到的非线性力。运用数值方法对该非线性能量阱的减振性能进行分析。从其结构参数以及初始能量的角度出发,研究其发生靶向能量传递的条件。结果表明:该非线性能量阱可以有效降低主结构的能量,其振动抑制效果明显优于单自由度非线性能量阱系统。A mechanical vibration system with a novel 2 DOF nonlinear energy sink(NES) is studied. The nonlinear energy sink structure is constructed and the motion equation of the whole system is established.The nonlinear force acting on the second-order oscillator is approximately expressed by Taylor series and the numerical method is used to analyze the vibration reduction performance of the NES. The conditions of the targeted energy transfer in the NES are studied in terms of its structural parameters and the initial energy. It is shown that the NES can effectively reduce the energy of the main structure and the vibration suppression effect of the NES is better than that of the single degree of freedom NES.

关 键 词：非线性能量阱 靶向能量传递 非线性振动系统 减振性能 

分 类 号：O322[理学—一般力学与力学基础]