反共振方法及其应用

Application of Anti-resonance Method

建立了两自由度系统的振动方程及模态响应,利用计算机绘图作出了固有频率ω2 和振幅比γ随参数α和β的变化曲线;通过具体算例对反共振现象进行分析,所得结论为除低频ω2 在α等于1时与参数β无关外,其它ω2 随参α的增加而减小,随参数β的增加而增加.振幅比γ随参数α的增加而增加,随β的增加而减小.在工程实际中。

The vibration equation of two-degree freedom system and modal response are established. By using of the MAPLE9.0, the curve of the amplitude ratio γ and natural frequency is drawn following the parameter α and β change. The anti_resonance phenomenon is analyzed through the concrete example and the conclusions are that except that low frequency ω-2 is irrelevant to parameter β when α equals 1, other natural frequency ω~2 decreases with the increase of parameter α, it increases with the increase of parameter β; the amplitude ratio γ increases with the increase of parameter α, it decreases with the increase of parameter β. By making use of the anti_resonance phenomena, absorbing vibration can be achieved in practical engineering.