Chinese Journal of Ship Research, Volume. 18, Issue 4, 265(2023)
Dynamic coupling characteristics of the beam and plate components of the orthogonally stiffened plate
Figures & Tables(8)
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Table 1. Corresponding relationship between natural frequency of orthogonal stiffened plates and mesh size
View tableView in ArticleTable 1. Corresponding relationship between natural frequency of orthogonal stiffened plates and mesh size
网格属性 最大相对误差/% m = n时的固有频率/Hz 尺寸/m 数量 第1阶 第2阶 第3阶 第4阶 0.010 10 200 − 155.770 383.988 689.657 1 124.66 0.009 12 768 0.058 155.743 383.870 689.375 1 124.01 0.008 16 128 0.050 155.712 383.764 689.125 1 123.45 0.007 21 024 0.046 155.680 383.662 688.888 1 122.93 0.006 28 560 0.043 155.653 383.565 688.667 1 122.45 0.005 40 400 0.037 155.626 383.480 688.475 1 122.04 0.004 63 000 0.034 155.601 383.400 688.297 1 121.66 0.003 112 224 0.027 155.580 383.333 688.150 1 121.36 0.002 251 000 0.021 155.565 383.284 688.041 1 121.12 0.001 1 002 000 0.011 155.555 383.252 687.973 1 121.00
Table 2. Natural frequencies of the first three orders of orthogonally stiffened plate with four free edges corresponding to different plate-to-beam bending stiffness ratios
View tableView in ArticleTable 2. Natural frequencies of the first three orders of orthogonally stiffened plate with four free edges corresponding to different plate-to-beam bending stiffness ratios
板梁弯曲刚度比 /m−1 m = n时的固有频率 第1阶 第2阶 第3阶 固有频率/Hz 变化速率% 固有频率/Hz 变化速率% 固有频率/Hz 变化速率/% 0.88 71.817 − 168.08 − 348.83 − 1.72 83.360 13.74 202.96 41.52 391.17 50.40 2.97 96.617 10.61 238.16 28.16 439.62 38.76 4.71 110.780 8.14 273.89 20.53 497.87 33.48 7.03 125.450 6.32 310.07 15.59 559.53 26.58 10.01 140.420 5.02 346.56 12.24 623.27 21.39 13.74 155.580 4.06 383.23 9.83 688.19 17.40 18.28 170.850 3.36 420.02 8.10 753.77 14.44 23.74 186.890 2.94 456.84 6.74 819.69 12.07 30.18 201.570 2.28 493.68 5.72 885.77 10.26 37.69 216.990 2.05 530.48 4.90 951.86 8.80 46.36 232.410 1.78 567.22 4.24 1017.90 7.62 56.26 247.830 1.56 603.89 3.70 1083.70 6.65 67.49 263.250 1.37 640.48 3.26 1149.40 5.85 80.11 278.660 1.22 676.96 2.89 1214.80 5.18 94.22 294.050 1.09 713.32 2.58 1279.90 4.61 109.89 309.420 0.98 749.57 2.31 1344.70 4.14 127.21 324.770 0.89 785.68 2.08 1409.10 3.72 146.26 340.090 0.80 821.66 1.89 1473.10 3.36 167.13 355.390 0.73 857.49 1.72 1536.80 3.05 189.89 370.650 0.67 893.18 1.57 1600.00 2.78 214.63 385.880 0.62 928.71 1.44 1662.80 2.54 241.43 401.080 0.57 964.08 1.32 1725.10 2.32 270.37 416.250 0.52 999.28 1.22 1787.00 2.14 301.54 431.380 0.49 1034.70 1.14 1848.50 1.97 335.01 446.470 0.45 1069.20 1.03 1909.40 1.82 370.88 461.520 0.42 1103.90 0.97 1969.80 1.68
Table 3. Natural frequencies of the first three orders of orthogonally stiffened plate with four clamped edges corresponding to different plate-to-beam bending stiffness ratios
View tableView in ArticleTable 3. Natural frequencies of the first three orders of orthogonally stiffened plate with four clamped edges corresponding to different plate-to-beam bending stiffness ratios
板梁弯曲刚度比/m−1 m = n时的固有频率 第1阶 第2阶 第3阶 固有频率/Hz 变化速率/% 固有频率/Hz 变化速率/% 固有频率/Hz 变化速率/% 0.88 56.894 − 118.12 − 293.78 − 1.72 59.534 3.14 142.62 29.17 332.61 46.23 2.97 64.022 3.59 167.74 20.10 368.55 28.75 4.71 69.814 3.33 193.38 14.74 408.81 23.14 7.03 76.494 2.88 219.36 11.20 453.10 19.09 10.01 83.778 2.44 245.55 8.79 500.16 15.79 13.74 91.478 2.06 271.88 7.06 549.03 13.10 18.28 99.468 1.76 298.28 5.81 599.05 11.02 23.74 107.660 1.50 324.72 4.84 649.81 9.30 30.18 116.010 1.30 351.16 4.11 701.01 7.95 37.69 124.460 1.13 377.58 3.52 752.49 6.85 46.36 133.000 0.99 403.98 3.04 804.09 5.95 56.26 141.590 0.87 430.33 2.66 855.72 5.22 67.49 150.220 0.77 456.63 2.34 907.31 4.59 80.11 158.890 0.69 482.87 2.08 958.80 4.08 94.22 167.580 0.62 509.03 1.85 1 010.10 3.64 109.89 176.290 0.56 535.12 1.66 1 061.30 3.27 127.21 185.010 0.50 561.14 1.50 1 112.20 2.94 146.26 193.730 0.46 587.06 1.36 1 162.90 2.66 167.13 202.460 0.42 612.89 1.24 1 213.30 2.41 189.89 211.190 0.38 638.63 1.13 1 263.40 2.20 214.63 219.910 0.35 664.27 1.04 1 313.20 2.01 241.43 228.630 0.33 689.8 0.95 1 362.70 1.85 270.37 237.340 0.30 715.23 0.88 1 411.90 1.70 301.54 246.040 0.28 740.54 0.81 1 460.60 1.56 335.01 254.730 0.26 765.74 0.75 1 509.10 1.45 370.88 263.410 0.24 790.82 0.70 1 557.10 1.34
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Dong TANG, Zitong MA, Ke'ao ZHANG, Rupeng WANG, Songgang XIN. Dynamic coupling characteristics of the beam and plate components of the orthogonally stiffened plate[J]. Chinese Journal of Ship Research, 2023, 18(4): 265
Paper Information
Category: Ship Structure and Fittings
Received: Apr. 7, 2022
Accepted: --
Published Online: Mar. 20, 2025
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