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基于弹性薄板假设和势流理论,利用薄板振动微分方程以及运动学边界条件建立了变速移动载荷激励浮冰层位移响应的理论计算模型.采用傅里叶-拉普拉斯变换的方法进行求解,通过数值计算获得浮冰层的位移响应.将退化到匀速情况的计算结果与实冰实验数据进行比较,发现临界速度的值以及临界速度下冰层位移响应的波形特征与实验结果相一致;此外,以匀加速载荷为例,通过改变加速方式、冰厚、水深等参数,分析了不同加速方式下浮冰层位移响应的特征,明确了水深、冰厚等因素对浮冰层位移响应的影响,揭示了移动载荷加速度与破冰效率间的关系.
Based on the theory of elastic sheet and the theory of potential flow, the theoretical calculation model of displacement response of ice sheet driven by variable speed moving load is established by using the vibration differential equation of sheet and the kinematic boundary conditions. The Fourier-Laplace transform method is used to solve the problem, The displacement response of the ice floe was obtained by numerical calculation.The calculated results of degenerate to uniform velocity were compared with the experimental data of ice and found that the values of the critical velocity and the waveform characteristics of the ice displacement under the critical velocity are consistent with the experimental results. Taking the uniform acceleration load as an example, the characteristics of the displacement response of the ice floe under different acceleration modes are analyzed by changing the acceleration method, ice thickness and water depth. The effects of the water depth and ice thickness on the displacement response of the ice floe are clarified. The relationship between moving load acceleration and ice breaking efficiency is revealed.