基于激振频率波动的原点反共振振动机的振幅灵敏度

Amplitude Sensitivity of the Driving Point Anti-resonance Vibrating Machine Based on Fluctuation of the Exciting Frequency

分析了原点反共振振动机的原理,推导了反共振机上下质体稳态振幅表达式.在不考虑参数波动的情况下,针对设计指标上质体稳态振幅5 mm,下质体稳态振幅0.5 mm,以不同的质量比和反共振频率比进行了参数选择.推导了上下质体振幅相对激振频率的灵敏度公式,分析了反共振频率比、质量比对上下质体振幅灵敏度的影响.结果表明:上下质体质量比相同,反共振频率比越大,上下质体振幅相对激振频率的灵敏度越低;反共振频率比相同,质量比越小,上质体振幅相对激振频率的灵敏度越低,下质体振幅相对激振频率灵敏度随质量比的变化很小.

The principle of driving point anti-resonance vibrating machines was analyzed and the expressions of the upper and lower body＇s steady amplitude were derived.With the upper body＇s steady amplitude of 5 mm and the lower body＇s steady amplitude of 0.5 mm,parameters were chosen according to different mass ratios and anti-resonant frequency ratios.The sensitivity formulas to the exciting frequency of the upper and lower body＇s amplitude were derived.Effects of the mass ratio and anti-resonant frequency ratio on the sensitivities were discussed.The results show that：when the mass ratio is invariant,the larger the anti-resonant frequency ratio is,the lower the sensitivities of the upper and lower body＇s amplitude to the exciting frequency are;when the anti-resonant frequency ratio is constant,the smaller the mass ratio is,the lower the sensitivity of the upper body＇s amplitude to the exciting frequency is,while the sensitivity of the lower body＇s amplitude to the exciting frequency changes little.