在矿山采出的矿石还要经过选矿这一道工序,选矿时主要用到共振筛

在矿山采出的矿石还要经过选矿这一道工序,选矿时主要用到共振筛,共振筛用四根硬弹簧支起,并装有一电动偏心轮,偏心轮每转动一周就给筛子一个驱动力.当筛子做自由振动时,完成10次全振动的时间为15 s,在某电压下,电动偏心轮的转速为30 r/min(转/分).已知:如果增大电压可使偏心轮的转速提高;增加筛子的质量,可增大筛子的固有周期,那么要使共振筛的振幅增大,下列做法中正确的是(    )

A.适当提高输入电压                B.适当降低输入电压

C.增加筛子的质量                  D.减少筛子的质量

答案

解析:筛子的振幅由驱动力f与固有频率f0的差值决定,即Δf=|f-f0|越小,振幅越大,要判断振幅能否增大,就要确定Δf是否减小.

筛子的固有频率

驱动力的频率=n=30 r/min==0.5 Hz.

因增大电压可提高转速,可使驱动力频率增加,则Δf减小,可增大振幅;增加筛子的质量,可使固有周期增大,则固有频率减小,从而Δf减小,可使振幅增大.

答案:AC

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