“…where is the natural frequency [20] of the three-DOF vibration model shown in Figure 3, is the damped natural frequency [19], which can be expressed as = √1 − 2 , being the damping ratio, = /2√ ; = / and Δ = (1 − 2 ) 2 + 4 2 2 . , , and shown in Figure 3 are given in Table 1 according to the structure of the punching press [20], where 1,2 belong to damping ratios of steel for engineering mechanism, which were assigned as 0.020 [21], 3 = 0.16/ √ , and is the total mass of the punching press and the foundation block [21,22]. , , and were assigned as = 2076 kg, = 0.02 m, and = 300 rpm in the present study.…”