Analytic approximation to nonlinear hydroelastic waves traveling in a thin elastic plate floating on a fluid
Analytic approximation to nonlinear hydroelastic waves traveling in a thin elastic plate floating on a fluid
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漂浮在流体上的薄弹性板中传播的非线性水弹性波的解析近似
DOI：
10.1007/s11433-013-5324-x
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发表时间：
2013-09
期刊：
影响因子：
--
通讯作者：
LU, DongQiang
中科院分区：
文献类型：
--
作者：
WANG, Ping;LU, DongQiang
应用解析近似方法--同伦分析方法（HAM）研究了深水中无限大弹性板（如冰盖或超大型浮式结构物）中的非线性水弹性行波。通过选择最佳收敛控制参数，得到了板挠度的收敛解析级数解。在此基础上，考虑了不同参数的影响.我们发现，随着板的杨氏模量的增加，板的挠度变小。随着板厚的增加，位移在波峰处趋于平缓，在波谷处趋于尖锐，而板的密度越大，位移也会产生类似的结果。此外，它表明，板的水弹性响应的大幅度入射波的影响。所得结果有助于丰富我们对冰盖或VLFS在水面上的非线性水弹性响应的理解。
An analytic approximation method known as the homotopy analysis method (HAM) is applied to study the nonlinear hydroelastic progressive waves traveling in an infinite elastic plate such as an ice sheet or a very large floating structure (VLFS) on the surface of deep water. A convergent analytical series solution for the plate deflection is derived by choosing the optimal convergencecontrol parameter. Based on the analytical solution the effects of different parameters are considered. We find that the plate deflection becomes lower with an increasing Young’s modulus of the plate. The displacement tends to be flattened at the crest and be sharpened at the trough as the thickness of the plate increases, and the larger density of the plate also causes analogous results. Furthermore, it is shown that the hydroelastic response of the plate is greatly affected by the high-amplitude incident wave. The results obtained can help enrich our understanding of the nonlinear hydroelastic response of an ice sheet or a VLFS on the water surface.
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影响因子：
3.7
作者：
FORBES, LK
通讯作者：
FORBES, LK
DOI：
--
发表时间：
1986-08
期刊：
--
影响因子：
--
作者：
G. Ashton
通讯作者：
G. Ashton
影响因子：
4.4
作者：
L. Tao;H. Song;S. Chakrabarti
通讯作者：
L. Tao;H. Song;S. Chakrabarti
DOI：
10.1007/s11433-010-4183-y
发表时间：
2011
期刊：
Science China Physics, Mechanics and Astronomy
影响因子：
--
作者：
J. Cang;Jun Cheng;R. Grimshaw
通讯作者：
J. Cang;Jun Cheng;R. Grimshaw
DOI：
10.1016/j.ijnonlinmec.2012.01.004
发表时间：
2012-04
影响因子：
3.2
作者：
R. A. Gorder
通讯作者：
R. A. Gorder