Research Article
Parametric Study on the Influence of Warping Deformation upon Natural Frequencies of Die Springs
Table 5
Change law of the warping effect on natural frequencies with respect to the number of coils.
| Mode number (Hz) | 1 | 2 | 3 | 4 | 5 |
| | FEM | 984.59 | 1400.9 | 1738.5 | 2168.0 | 2259.2 | Warping ignored | 1332.77 | 1713.92 | 1848.66 | 2286.35 | 2336.40 | Error (%) | 35.36 | 22.34 | 6.34 | 5.46 | 3.42 | Warping included | 973.17 | 1406.73 | 1746.22 | 2263.04 | 2271.58 | Error (%) | 1.16 | 0.42 | 0.44 | 4.38 | 0.55 |
| | FEM | 521.34 | 899.54 | 915.97 | 970.21 | 1129.5 | Warping ignored | 745.84 | 1009.30 | 1044.17 | 1122.22 | 1338.65 | Error (%) | 43.06 | 12.20 | 13.99 | 15.67 | 18.52 | Warping included | 523.25 | 897.71 | 914.36 | 973.88 | 1118.41 | Error (%) | 0.37 | 0.20 | 0.17 | 0.38 | 0.98 |
| | FEM | 359.89 | 521.12 | 529.55 | 697.79 | 771.62 | Warping ignored | 504.25 | 574.71 | 588.36 | 765.78 | 963.49 | Error (%) | 40.11 | 10.28 | 11.10 | 9.76 | 24.87 | Warping included | 353.34 | 515.50 | 523.97 | 685.21 | 764.24 | Error (%) | 1.82 | 1.08 | 1.05 | 1.80 | 0.96 |
| | FEM | 270.56 | 330.04 | 335.05 | 533.20 | 582.48 | Warping ignored | 359.73 | 364.84 | 393.39 | 577.06 | 731.52 | Error (%) | 32.96 | 10.54 | 17.41 | 8.23 | 25.59 | Warping included | 265.39 | 326.26 | 331.55 | 523.17 | 764.24 | Error (%) | 1.91 | 1.14 | 1.04 | 1.88 | 0.86 |
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