基于Chebyshev-Ritz法分析多裂纹梁自振特性
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赵佳雷,周叮,张建东,胡朝斌
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Free vibration characteristics of multi-cracked beam based on Chebyshev-Ritz method
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Jia-lei ZHAO,Ding ZHOU,Jian-dong ZHANG,Chao-bin HU
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表 3 简支梁计算结果与有限元分析的对比(h/L=0.1,d1/L=0.5,d2/L=0.8) |
Tab.3 Comparison of results of simply-supported beam with those from FEA(h/L=0.1,d1/L=0.5,d2/L=0.8) |
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参数 | 方法 | Ω1 | Ω2 | Ω3 | Ω4 | Ω5 | Ω6 | Ω7 | Ω8 | c1/h=0.2,c2/h=0.1 | 本文方法 | 0.085 6 | 0.336 8 | 0.692 1 | 0.978 5 | 1.177 9 | 1.668 3 | 1.977 9 | 2.259 1 | c1/h=0.2,c2/h=0.1 | 有限元法 | 0.085 1 | 0.336 5 | 0.688 3 | 0.976 1 | 1.177 5 | 1.662 8 | 1.977 2 | 2.258 3 | c1/h=0.3,c2/h=0.2 | 本文方法 | 0.081 3 | 0.329 0 | 0.655 5 | 0.953 6 | 1.169 6 | 1.632 8 | 1.954 3 | 2.243 9 | c1/h=0.3,c2/h=0.2 | 有限元法 | 0.080 6 | 0.328 4 | 0.649 7 | 0.949 6 | 1.168 7 | 1.626 5 | 1.952 4 | 2.242 0 | c1/h=0.4,c2/h=0.2 | 本文方法 | 0.076 3 | 0.328 7 | 0.623 6 | 0.926 1 | 1.167 4 | 1.599 1 | 1.954 1 | 2.237 6 | c1/h=0.4,c2/h=0.2 | 有限元法 | 0.075 2 | 0.328 1 | 0.616 6 | 0.921 1 | 1.166 2 | 1.593 5 | 1.952 4 | 2.234 7 |
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