某工作台采用直流电机丝杠螺母机构驱动如图所示,已知电机轴的转动惯量J m =4×10 -4 kg·m 3 ,与电机输出轴相连的小齿轮的转动惯量J 1 =1×10 -4 kg·m 3 ,大齿轮的转动惯量J 2 =1.8×10 -4 kg·m 3 ,丝杠的转动惯量J s =3.8×10 -4 kg·m 3 。工作台的质量m=50kg,丝程t=5mm,齿轮减速比为i=5。 试求:工作台折算到丝杠的等效转动惯量J G 。
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