Hydroelastic response of an ice sheet with a lead to a moving load

2021 ◽  
Vol 33 (3) ◽  
pp. 037109
Author(s):  
Y. Z. Xue ◽  
L. D. Zeng ◽  
B. Y. Ni ◽  
A. A. Korobkin ◽  
T. I. Khabakhpasheva
Keyword(s):  
Moving Load ◽  
Ice Sheet ◽  
Hydroelastic Response

scholarly journals The Effects of Moving Load on the Hydroelastic Response of a Very Large Floating Structure

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Le Zhu ◽  
Fei Shao ◽  
Qian Xu ◽  
Yonggang Sun ◽  
Qingna Ma
Keyword(s):  
Moving Load ◽  
Fluid Motion ◽  
Elastic Beam ◽  
Point Load ◽  
Floating Structure ◽  
Very Large Floating Structure ◽  
External Point ◽  
The Fourier Transform ◽  
The Time Domain ◽  
Hydroelastic Response

The hydroelastic response of a very large floating structure in regular waves suffering an external moving point load is considered. The linearized velocity potential theory is adopted to describe the fluid flow. To take into account the coupled effects of the structure deformation and fluid motion, the structure is divided into multiple segments and connected by an elastic beam. Then through adding a stiffness matrix arising from the elastic beam into the multiple bodies coupled motion equations, the hydroelastic response is considered. By applying the Fourier transform to the obtained frequency domain coefficients, the motion equation is transformed into the time domain and the external point load is further considered. The accuracy and effectiveness of the proposed method are verified through the comparison with experimental results. Finally, extensive results are provided, and the effects of the moving point load on the hydroelastic response of the very large floating structure are investigated in detail.

Nonlinear effects in the response of a floating ice plate to a moving load

2002 ◽  
Vol 460 ◽  
pp. 281-305 ◽  
Author(s):  
EMILIAN PĂRĂU ◽  
FREDERIC DIAS
Keyword(s):  
Shallow Water ◽  
Deep Water ◽  
Critical Speed ◽  
Moving Load ◽  
Ice Sheet ◽  
Phase Speed ◽  
Nonlinear Effects ◽  
Line Load ◽  
Weakly Nonlinear ◽  
Water Depths

The steady response of an infinite unbroken floating ice sheet to a moving load is considered. It is assumed that the ice sheet is supported below by water of finite uniform depth. For a concentrated line load, earlier studies based on the linearization of the problem have shown that there are two ‘critical’ load speeds near which the steady deflection is unbounded. These two speeds are the speed c0 of gravity waves on shallow water and the minimum phase speed cmin. Since deflections cannot become infinite as the load speed approaches a critical speed, Nevel (1970) suggested nonlinear effects, dissipation or inhomogeneity of the ice, as possible explanations. The present study is restricted to the effects of nonlinearity when the load speed is close to cmin. A weakly nonlinear analysis, based on dynamical systems theory and on normal forms, is performed. The difference between the critical speed cmin and the load speed U is taken as the bifurcation parameter. The resulting normal form reduces at leading order to a forced nonlinear Schrödinger equation, which can be integrated exactly. It is shown that the water depth plays a role in the effects of nonlinearity. For large enough water depths, ice deflections in the form of solitary waves exist for all speeds up to (and including) cmin. For small enough water depths, steady bounded deflections exist only for speeds up to U*, with U* < cmin. The weakly nonlinear results are validated by comparison with numerical results based on the full governing equations. The model is validated by comparison with experimental results in Antarctica (deep water) and in a lake in Japan (relatively shallow water). Finally, nonlinear effects are compared with dissipation effects. Our main conclusion is that nonlinear effects play a role in the response of a floating ice plate to a load moving at a speed slightly smaller than cmin. In deep water, they are a possible explanation for the persistence of bounded ice deflections for load speeds up to cmin. In shallow water, there seems to be an apparent contradiction, since bounded ice deflections have been observed for speeds up to cmin while the theoretical results predict bounded ice deflection only for speeds up to U* < cmin. But in practice the value of U* is so close to the value of cmin that it is difficult to distinguish between these two values.

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