基于梁函数-Ritz法的圆柱壳模态特性分析
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徐港辉,祝长生
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Modal characteristics analysis of cylindrical shells based on beam functions-Ritz method
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Gang-hui XU,Chang-sheng ZHU
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| 表 2 3种边界条件下的圆柱壳模态频率对比(梁函数) |
| Tab.2 Comparison of modal frequencies for cylindrical shell at three boundary conditions (with beam functions) |
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| n | fC-C/Hz | | fC-F/Hz | | fS-S/Hz | | 文献[6] | I=1 | I=50 | FEM | 文献[6] | I=1 | I=50 | FEM | 文献[6] | I=1 | I=50 | FEM | | 0 | 8300.4 | 8300.4 | 7829.2 | 7784.4 | | 2295.4 | 5341.7 | 3903.4 | 3892.1 | | 7784.2 | 7784.1 | 7784.1 | 7784.1 | | 1 | 5314.9 | 5314.8 | 4916.8 | 4895.5 | 1325.2 | 2830.7 | 2309.0 | 2304.8 | 4811.1 | 4811.1 | 4811.1 | 4811.1 | | 2 | 3452.8 | 3452.7 | 3164.2 | 3150.2 | 588.4 | 1317.3 | 1152.5 | 1151.4 | 2750.0 | 2750.0 | 2750.0 | 2750.0 | | 3 | 2361.9 | 2361.9 | 2172.0 | 2163.7 | 303.3 | 700.9 | 637.9 | 637.3 | 1630.0 | 1630.0 | 1630.0 | 1629.8 | | 4 | 1692.2 | 1692.1 | 1569.1 | 1564.4 | 159.8 | 432.2 | 402.5 | 401.0 | 1041.7 | 1041.7 | 1041.7 | 1041.1 | | 5 | 1263.8 | 1263.8 | 1182.9 | 1179.9 | 80.9 | 317.2 | 301.8 | 298.6 | 723.5 | 723.5 | 723.5 | 722.1 | | 6 | 986.3 | 986.3 | 931.9 | 929.3 | 194.2 | 293.7 | 286.2 | 281.2 | 555.9 | 555.9 | 555.9 | 553.3 | | 7 | 814.1 | 814.1 | 777.2 | 774.2 | 283.5 | 330.3 | 326.8 | 320.5 | 488.4 | 488.4 | 488.4 | 484.5 | | 8 | 724.9 | 724.9 | 700.1 | 696.5 | 377.6 | 402.5 | 400.9 | 393.9 | 494.5 | 494.5 | 494.5 | 489.5 | | 9 | 705.1 | 705.1 | 688.8 | 684.4 | 481.5 | 496.8 | 496.0 | 488.5 | 551.8 | 551.7 | 551.7 | 546.2 |
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