Abstract Sloshing of liquid in partially filled tanks under high excitation amplitude is always a complicated phenomenon for shallow water condition. This complication arises due to nonlinear behaviour of liquid free-surface motion when the excitation amplitude is sufficiently large. Due to nonlinearity, the sloshing resonant frequency also gets affected and so the performance of several devices developed based on linear sloshing concept is disturbed. One widely studied and used such device is Tuned Liquid Damper (TLD). In the present study, a series of experiments has been conducted to investigate the nonlinear shallow water sloshing in detail. Experimental tests were carried out for tanks of different base-aspect ratios (length to width of tank), different water-depths, wide range of excitation amplitudes and frequencies. Nonlinear characteristics such as frequency jump-phenomenon, shift in resonant frequency, super-harmonic resonance, responses at higher harmonics and fractional harmonics of forcing frequency have been reported. It has been found that the resonant frequency is sensitive to the excitation amplitude and dispersion parameter (ratio of water-depth to tank-length). For a tank of large aspect-ratio under high excitation amplitude, it is also found that the resonance frequency increases about 45% in comparison to the linear sloshing frequency.

中文翻译：

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激励幅度和频散参数影响下浅水池非线性晃荡频率的实验研究

摘要 在浅水条件下，高激励幅度下部分填充的罐内液体晃动始终是一个复杂的现象。当激励幅度足够大时，由于液体自由表面运动的非线性行为，会出现这种复杂情况。由于非线性，晃动谐振频率也受到影响，因此基于线性晃动概念开发的几种器件的性能受到干扰。一种广泛研究和使用的此类设备是调谐液体阻尼器 (TLD)。在目前的研究中，已经进行了一系列实验来详细研究非线性浅水晃动。对不同底宽比（水箱长宽比）、不同水深、宽范围激励幅度和频率的水箱进行了实验测试。非线性特性，如跳频现象、谐振频率偏移、超谐波谐振、高次谐波响应和强迫频率的分数谐波已经被报道。已经发现共振频率对激励幅度和色散参数（水深与水箱长度的比率）敏感。对于在高激励幅度下的大纵横比油箱，还发现与线性晃荡频率相比，谐振频率增加了约 45%。已经发现共振频率对激励幅度和色散参数（水深与水箱长度的比率）敏感。对于在高激励幅度下的大纵横比油箱，还发现与线性晃荡频率相比，谐振频率增加了约 45%。已经发现共振频率对激励幅度和色散参数（水深与水箱长度的比率）敏感。对于在高激励幅度下的大纵横比油箱，还发现与线性晃荡频率相比，谐振频率增加了约 45%。