The analysis of liquid sloshing remains a challenging computational mechanics topic due to its complex underlying physics. The rapid simulation of sloshing problems requires accurate modelling of two-phase fluid dynamics and sloshing impacts on solid tank boundaries by suitable Flexible Fluid Structure Interaction (FFSI) models. This paper presents a hydroelastic model for the prediction of sway induced sloshing loads on flexible trapezoidal and rectangular tanks. Tank walls and a vertical baffle in way of the mid span of the tank bottom are idealized by Timoshenko beam structural dynamics. Hydroelastic analysis is enabled by a Boundary Element Method (BEM) that couples tank wall and baffle structural dynamics with free surface hydrodynamics to evaluate excitation forces and peak hydrodynamic pressures in way of the tank perimeter. Results show that for the case study presented accounting for the influence of hydroelasticity in a rectangular tank may lead to decrease of free surface oscillations and peak pressure by 20%. This is because the dynamics of tank flexibility are coupled with the angular frequency of the sway motion. These benefits amplify further for the case of trapezoidal tank designs for which the free surface and pressure of the trapezoidal tank with lateral angle θ=80° are decreased relative to the rectangular one by about 80% and 65%, respectively.

由于其复杂的基础物理，液体晃动的分析仍然是一个具有挑战性的计算力学课题。晃荡问题的快速模拟需要通过合适的柔性流结构相互作用 (FFSI) 模型对两相流体动力学和晃荡对固体罐边界的影响进行准确建模。本文提出了一种水弹性模型，用于预测柔性梯形和矩形储罐的摇摆引起的晃荡载荷。Timoshenko 梁结构动力学将罐壁和罐底中间跨度处的垂直挡板进行了理想化。水弹性分析是通过边界元方法 (BEM) 实现的，该方法将罐壁和挡板结构动力学与自由表面流体动力学相结合，以评估罐周边的激振力和峰值流体动压力。结果表明，对于所提出的案例研究，考虑到矩形水箱中水弹性的影响可能会导致自由表面振荡和峰值压力降低 20%。这是因为坦克灵活性的动力学与摇摆运动的角频率相关。对于梯形罐设计的情况，这些好处进一步放大，其中侧角 θ=80° 的梯形罐的自由表面和压力相对于矩形罐分别降低了约 80% 和 65%。