| 海洋立管悬挂状态的固有频率和振型 |
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| 引用本文： | 雷松,郑向远,张文首,林家浩,岳前进.海洋立管悬挂状态的固有频率和振型[J].船舶力学,2015(10):1267-1274. |
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| 作者姓名： | 雷松 郑向远 张文首 林家浩 岳前进 |
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| 作者单位： | 1. 清华大学 深圳研究生院海洋学部, 广东 深圳 518055;大连理工大学运载工程与力学学部工程力学系, 辽宁 大连 116023;2. 清华大学 深圳研究生院海洋学部,广东 深圳,518055;3. 大连理工大学运载工程与力学学部工程力学系,辽宁 大连,116023 |
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| 基金项目： | 中国博士后科学基金，国家创新研究群体科学基金 |
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| 摘 要： | 文章把悬挂状态的立管简化为一端固定一端自由的梁模型,考虑截面性质和有效张力及质量的变化,其控制方程为变系数的四阶偏微分方程,运用微分变换方法推导了固有频率和振型的数值计算方法。通过数值算例验证了文中方法的有效性,考察了收敛速度的变化情况,讨论了立管末端的悬挂器具对固有频率和振型的影响,并结合工程实际,给出了若干海况下立管悬挂状态时在飞溅区的共振区域。
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| 关 键 词： | 微分变换 有效张力 固有频率 振型 |
Natural frequencies and mode shapes of free-hanging risers |
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| Abstract: | Free-hanging risers are simulated as Euler-Bernoulli beams with fixed-free boundary conditions. Considering varying flexural rigidities, effective tensions and mass density, free vibration of the riser is ex-pressed in form of fourth order partial differential equation with variable coefficient whose analytic solution is not straightforward. The natural frequencies and mode shapes are obtained by using differential transfor-mation method. The efficiency of this method and its good convergence rate are validated by numerical ex-amples. Furthermore, the influence of a lumped mass at riser tip is discussed. Resonance zones, which are important during the installation of risers at the wave splash zone, are illustrated. |
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| Keywords: | differential transformation effective tension natural frequency mode shape |
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