采用对数动力放大因子β(λ),研究质量比、阻尼比及固有频率比对双层隔振系统动态性能的影响规律,并且对物理参数——尤其是激振力频率具有随机变异时双层隔振系统动态性能的变异规律进行讨论.结果表明,质量比对双层隔振系统的影响显著区域位于曲线第二个峰之前,随着质量比的增加,隔振量(分贝数)增大;阻尼比对双层隔振系统的影响显著区域位于曲线第二个峰之后,而且随着阻尼比的增加,隔振量(分贝数)减小;随着固有频率比的增大,隔振频带减小,隔振效果也有所降低,影响区域遍布整个隔振频带.激振力频率与系统固有频率比λ在0.1—100区间内具有变异系数δλ=0-30%范围时,对反映双层隔振系统隔振性能的对数动力放大因子β(λ)的均值影响不大,在λ〉3的频段内,β(λ)二阶矩意义下与均值系统的偏离程度δβ(λ)低于δλ.在λ〉3的频段内随着λ增大,双层隔振系统性能趋向稳定.阻尼比的增大,不能提高隔振频带内系统的稳定性;质量比的增大,对提高隔振频带内系统隔振性能是有利的.
Logarithm dynamical magnification factor β (λ) was adopted to research the two-stage isolation system' dynamic performance affected by three factors which included mass ratio, damping ratio and inherent frequency ratio. The variation rules of two-stage isolation system' dynamic performance were discussed when physical parameter, especially the frequency of exciting force had random variation. The results showed that the notable region which comes from the influence of mass ratio to two-stage isolation system lies before the second peak value in the curve. With the mass ratio increasing, the quantity of isolation (decibel) is increased. On the contrary, the notable region that was made by reason of damping ratio lies after the second peak value, and with the increase of damping ratio, the quantity of isolation is decreased. With the increasing of inherent frequency ratio, frequency band of isolation is decreased and effect of isolation is also reduced. The influencing area spreads over whole frequency band of isolation. When the frequency ratio λ, which was ratio of exacting force frequency to inherent frequency, is in the range of 0. 1-100, and when its coefficient of variation δλ is in the range of 0-30%, there is little effect on mean value of logarithm dynamical magnification factor β( λ ) ,which reflected the vibration isolation performance of twostage isolation system. In the range of λ 〉 3, δβ(λ) is lower than δλ, δβ(λ) was degree of deviation relative to mean value in the second-order moment sense. And in the range of λ 〉 3, with the increase of λ, the two-stage isolation system trends to be stable. Over the isolation frequency band, the increase of damping ratio had no effect on improving the system stability, the isolation capability of two-stage isolation system could be raised by increasing mass ratio.