Research Article
Parametric Study on the Influence of Warping Deformation upon Natural Frequencies of Die Springs
Table 6
Change law of the warping effect on natural frequencies with respect to the helix pitch angle.
| Mode number (Hz) | 1 | 2 | 3 | 4 | 5 |
| | FEM | 533.77 | 966.74 | 980.62 | 993.31 | 1120.5 | Warping ignored | 748.56 | 1082.97 | 1099.23 | 1137.02 | 1345.44 | Error (%) | 40.24 | 12.02 | 12.09 | 14.47 | 20.07 | Warping included | 525.88 | 957.13 | 971.50 | 978.46 | 1112.27 | Error (%) | 1.50 | 0.99 | 0.93 | 1.49 | 0. 73 |
| | FEM | 528.43 | 840.48 | 862.36 | 981.13 | 1125.3 | Warping ignored | 740.62 | 936.78 | 973.11 | 1122.27 | 1330.55 | Error (%) | 40.15 | 11.46 | 12.84 | 14.39 | 18.24 | Warping included | 521.71 | 834.46 | 855.53 | 970.49 | 1119.82 | Error (%) | 1.27 | 0.72 | 0.79 | 1.08 | 0.49 |
| | FEM | 520.35 | 722.19 | 751.51 | 966.25 | 1118.0 | Warping ignored | 722.42 | 809.66 | 856.58 | 1119.07 | 1307.31 | Error (%) | 38.83 | 12.11 | 13.95 | 15.82 | 16.93 | Warping included | 515.27 | 718.51 | 747.84 | 957.19 | 1115.40 | Error (%) | 0.97 | 0.51 | 0.51 | 0.94 | 0.23 |
| | FEM | 509.13 | 625.76 | 663.87 | 949.78 | 1106.1 | Warping ignored | 676.70 | 703.33 | 787.78 | 1113.24 | 1273.52 | Error (%) | 32.91 | 12.40 | 18.66 | 17.21 | 15.14 | Warping included | 504.25 | 622.41 | 659.50 | 941.67 | 1102.38 | Error (%) | 0.96 | 0.54 | 0.66 | 0.85 | 0.34 |
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