简谐激励下双弹簧非线性能量阱的优化  

OPTIMIZATION OF A NONLINEAR ENERGY SINK WITH DOUBLE SPRINGS AND HARMONIC EXCITATION

作　　者：王国旭 丁虎[1] 陈立群[1] Wang Guoxu;Ding Hu;Chen Liqun(School of Mechanics and Engineering Science,Shanghai University,Shanghai 200444,China)

机构地区：[1]上海大学力学与工程科学学院,上海200444

出　　处：《动力学与控制学报》2021年第6期46-51,共6页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(11772181)。

摘　　要：研究了简谐激励下双弹簧非线性能量阱(NES)的优化问题.建立了线性振子(LO)附加NES的动力学方程,通过Runge-Kutta法计算系统响应.以最小化LO扫频区间的稳态位移振幅最大值为目标,采用差分进化算法和参数分析方法优化NES的参数,并对比线性吸振器(LVA)的优化结果 .研究结果表明,相比LVA,NES实现较好减振效果的弹簧刚度范围更大,NES的较优参数区域和幅频响应容易受激励幅值的影响.The optimization issue of a nonlinear energy sink(NES)with double springs and harmonic excitation is investigated. The dynamic equation of a linear oscillator(LO)with the NES is established,and the system response is calculated by the Runge-Kutta method. The optimization goal is to minimize the maximum steady-state displacement amplitude of the LO in the frequency domain. The differential evolution algorithm and the parameter analysis method are used to optimize the parameters of the NES,and the optimized results are compared with those of the linear vibration absorber. The results remonstrate that the range of the spring stiffness of the NES can be quite large for decent vibration attenuation effects. The optimal parameter region and frequency response of the NES are greatly influenced by the excitation amplitude.

关 键 词：振动控制 非线性能量阱 简谐激励 差分进化算法 

分 类 号：TB535[理学—物理]