| 部分潜入水中圆柱壳的振动分析 |
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| 引用本文： | 朱永谊,翁智远,吴家龙.部分潜入水中圆柱壳的振动分析[J].同济大学学报(自然科学版),1987(4). |
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| 作者姓名： | 朱永谊 翁智远 吴家龙 |
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| 作者单位： | 同济大学结构理论研究所
(朱永谊，翁智远)，同济大学结构理论研究所(吴家龙) |
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| 摘 要： | 本文提出的解析法,将液、壳轴向模态位移用同一完备正交级数表示,使液壳振型解耦。同时将液壳振型函数分解为一个一致收敛级数迭加另一线性多项式,解决了振型级数的收敛性和可微性。这样就得到对应于不同水深、任意边界条件、受约束的水中圆柱壳耦合固有频率的精确值和相应振型。文中还初步探讨了逸散阻尼的变化规律。
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| 关 键 词： | 解析解 固体-液体相互作用 水工建筑物振动 |
Vibration Analysis of Cylindrical Shells Partly Submerged in Water |
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| Zhu Yongyi,Weng Zhiyuan,Wu Jialong Institute of Structural Theory.Vibration Analysis of Cylindrical Shells Partly Submerged in Water[J].Journal of Tongji University(Natural Science),1987(4). |
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| Authors: | Zhu Yongyi Weng Zhiyuan Wu Jialong Institute of Structural Theory |
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| Institution: | Zhu Yongyi;Weng Zhiyuan;Wu Jialong Institute of Structural Theory |
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| Abstract: | In this paper, a general analytical method is presented. By use of it themodal functions of liquid and shell are represented as the same complete ortho-gonal series for uncoupling the mode of liquid and shell. Besides, the modefunctions are expanded into a sum of a uniform convergence series and a linearpolynomial, so that the problem of convergence and differentiation of mode seriesare solved. Finally, the rather exact natural frequency and its correspondingmode of a cylindrical shell submerged in water with arbitrary boundary conditionsand with mediated constraints can be obtained. In this paper, the effects of radi-ation damping are also discussed primrily. |
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| Keywords: | Analytic solution Solid-liquid interaction Vibration of hydraulic structure |
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