The unsteady problem of a load moving along a channel covered with broken ice is considered. Deflection of the broken ice is described by the equation of flotating liquid. The channel has a rectangular cross-section. The fluid in the channel is inviscid and incompressible. The flow caused by deflections of broken ice is potential. The external load is modeled by a smooth localized pressure distribution which moves along the centre line of the channel at a constant speed. With the help of the Fourier transform along the channel the original problem was reduced to the problem of the wave profile across the channel, which was solved by the method of separating variables. The deflections of the broken ice are studied for large times. The solution is presented in the form of sum of local deflection near the load and infinite system of waves propagating from the load with the speed of the load. Dispersion relations, phase and group speeds of these waves are found. The formation of gravity waves in a channel covered with broken ice depending on the speed of the load is studied.

考虑载荷沿覆有碎冰的通道运动的非定常问题。碎冰的偏转由漂浮液体方程描述。该通道具有矩形横截面。通道中的流体是无粘性且不可压缩的。由碎冰偏转引起的流动是潜在的。外部负载由平滑的局部压力分布建模，该压力分布沿通道中心线以恒定速度移动。借助沿通道的傅里叶变换，将原来的问题简化为跨通道的波形问题，并通过分离变量的方法解决了这个问题。对碎冰的变形进行了大量研究。解决方案以负载附近的局部偏转和从负载传播的波随负载速度传播的无限系统的总和的形式提出。找到了这些波的色散关系、相位和群速度。研究了取决于载荷速度在被碎冰覆盖的通道中重力波的形成。