Research Article

Stability Analysis of Cutting Process with Internally Damped Rotating Tapered Composite Cutter Bar

Table 4

The natural frequencies of the non-rotating tapered composite cutter bar with different aspect ratios (ς = 0.01, θ = 0°, and σ = 0.75).

L/dModeNatural frequency (Hz)Damping
PresentANSYSPresentANSYS
N = 1N = 2N = 3N = 4N = 1N = 2N = 3N = 4

101288.23285.80283.35283.35283.92−20.03−18.89−18.17−18.17−17.88
21555.081552.421550.371550.371549.86−36.87−35.44−35.01−35.01−34.75
34198.444197.984197.984197.60−152.95−152.42−152.42−152.11

121201.72198.45196.99196.99196.76−14.09−13.21−12.61−12.61−12.35
21082.341079.541077.541077.541077.98−25.97−24.68−24.38−24.38−24.02
32929.662927.852927.852928.02−107.83−107.11−107.11−106.77

151129.51126.99125.02125.02124.69−9.06−8.47−8.07−8.07−7.73
2693.79691.68689.48689.48688.92−16.85−15.93−15.64−15.64−15.32
31882.451881.651881.651881.03−69.62−69.11−69.11−68.59