Fully dispersive models for moving loads on ice sheets
Fully dispersive models for moving loads on ice sheets
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DOI：
10.1017/jfm.2019.530
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发表时间：
2019-10-10
影响因子：
3.7
通讯作者：
Parau, E., I
中科院分区：
文献类型：
--
作者：
Dinvay, E.;Kalisch, H.;Parau, E., I
本文用一个完全色散的弱非线性方程组研究了浮动弹性板对移动荷载的响应。该系统允许在整个波长范围内准确描述波，并结合了非线性，强迫和阻尼。由该系统描述的弯曲重力波是对具有所描述的重量分布的强迫的时间依赖性响应，以时间依赖性速度移动。该模型是通用的，足以让广泛的情况下，包括运动的组合点载荷和负载的任意形状的研究。系统的数值解进行了比较，从一些领域的运动在冰封的湖泊的数据，并在大多数情况下观察到的弯沉仪记录和数值模拟之间的良好协议。还考虑到波所产生的减速负载，它示出的减速负载可能会触发波响应的幅度远远大于负载移动在恒定的celectium。
The response of a floating elastic plate to the motion of a moving load is studied using a fully dispersive weakly nonlinear system of equations. The system allows for an accurate description of waves across the whole spectrum of wavelengths and also incorporates nonlinearity, forcing and damping. The flexural-gravity waves described by the system are time-dependent responses to a forcing with a described weight distribution, moving at a time-dependent velocity. The model is versatile enough to allow the study of a wide range of situations including the motion of a combination of point loads and loads of arbitrary shape. Numerical solutions of the system are compared to data from a number of field campaigns on ice-covered lakes, and good agreement between the deflectometer records and the numerical simulations is observed in most cases. Consideration is also given to waves generated by a decelerating load, and it is shown that a decelerating load may trigger a wave response with a far greater amplitude than a load moving at constant celerity.