以单自由度主结构承受简谐激励作用时强非线性吸振器的减振能力作为研究对象,运用复变量平均法获得系统的慢变方程,并进一步得到描述稳态响应的非线性方程组.通过对比复变量平均法和龙格库塔获得的解,验证推导过程的正确性.利用复变量平均法分析吸振器的能量转移效能及其恒定性.研究结果显示,不同激励幅值下系统的频率响应存在较大差异.当激励幅值相对较小时,吸振器的减振效果明显.随着简谐激励幅值的增加,吸振器的能量转移效能无法保持恒定,系统在一定频带内出现高低两个稳定响应分支,并且两个响应分支会随着激励幅值的进一步增加而合并.%The efficiency of energy transfer from a single DOF primary structure subjected to harmonic excitation to a nonlinear vibration absorber is investigated. The slow flow equations of the system are derived by using complexification-averaging method, and the nonlinear equations which describe the steady-state response are obtained. The resulting equations are verified by comparing the results which respectively obatined from complexification-averaging method and Runge-Kutta method. The energy transfer efficiency and constancy of the absorber are analyzed by using complexification-averaging method. The results indicate that the frequency responses of the system are quite different under the excitation with different amplitudes. The vibration suppression effect of the absorber is excellent when the excitation amplitude is relatively small. With the increasing of the excitation amplitude, the energy transfer efficiency of the absorber cannot remain constant. The system will yield a lower stable branch and a higher stable branch, and the two branches will get closer and finally merge with the further increase of the excitation amplitude.
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