This paper investigates new nonlinear mechanical model for sloshing liquid in liquid damper to mitigate vibrations. The proposed nonlinear model consists of successive multiple liquid damped masses, which are connected in series. Governing differential equations are derived and are solved using the Fourier expansion-based differential quadrature method. Verification is carried out with a single degree of freedom, traditional model, also the verification with experimental dynamic responses is carried out. Studying model accuracy is executed considering different filling ratios and different liquids’ physical properties. The new model shows a good agreement with experimental results, where the results become more close to experimental results than earlier model. The efficiency of the new proposed model raises as the filling ratio increases, also as the liquid viscosity increases the results of the new proposed model become closer to the experimental results than the earlier double degrees of freedom model.

本文研究了一种新的非线性力学模型，用于使液体阻尼器中的液体晃荡，以减轻振动。所提出的非线性模型由多个连续串联的液体阻尼质量组成。使用基于傅立叶展开的微分正交方法，导出并求解了控制微分方程。验证是在单一自由度，传统模型的情况下进行的，还需要在实验动态响应下进行验证。考虑不同的填充率和不同的液体物理特性来执行模型精度的研究。新模型显示出与实验结果的良好一致性，与以前的模型相比，新结果与实验结果更加接近。新提出的模型的效率随着填充率的增加而提高，