This paper describes the dynamic behaviour of offshore structures modelled as discrete dynamic systems with the installation of innovative smart-tuned liquid column dampers (TLCDs). The use of advanced nano-fluids enhances the mechanical properties of the TLCD and allows the conventional passive system to be modified into a semi-active damping system. The magnetic force is modelled as an additional non-linear stiffness applied on the main structure once the magnetic field is activated. This new approach brings novel perspectives in reducing structural vibrations with respect to conventional TLCD systems. The aim of the study is to present a numerical investigation of the parameters involved in the dynamic behaviour of these systems subjected to random forces. In particular, a comprehensive analysis of a simplified structural model as a two-degrees-of-freedom system is given. Mathematical details and procedures using magneto-rheological-TLCD dampers without the need for commercial frameworks are presented. The present coupled system of ordinary differential equations is solved in a Matlab environment by using the built-in Runge–Kutta implementations for the solution of non-linear equations. This allows engineers and designers to obtain an initial estimation of the structural behaviour prior to in-depth simulations and analysis.

中文翻译：

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智能调谐的液柱阻尼器，用于减少海上结构的结构振动

本文介绍了通过安装创新的智能调谐液柱阻尼器（TLCD）将海洋结构建模为离散动力系统的动力学行为。先进的纳米流体的使用增强了TLCD的机械性能，并允许将常规的被动系统修改为半主动阻尼系统。一旦激活磁场，就将磁力建模为施加在主体结构上的附加非线性刚度。这种新方法为减少传统TLCD系统的结构振动带来了新颖的见解。该研究的目的是对这些受到随机力作用的系统的动态行为所涉及的参数进行数值研究。特别是，给出了简化结构模型作为两自由度系统的综合分析。本文介绍了使用磁流变TLCD阻尼器的数学细节和程序，无需使用商业框架。通过使用内置的Runge–Kutta实现方案来解决非线性方程组，可以在Matlab环境中求解当前的常微分方程组耦合系统。这使工程师和设计人员可以在进行深入的模拟和分析之前获得结构性能的初始估计。通过使用内置的Runge–Kutta实现方案来解决非线性方程组，可以在Matlab环境中求解当前的常微分方程组。这使工程师和设计人员可以在进行深入的模拟和分析之前获得结构性能的初始估计。通过使用内置的Runge–Kutta实现方案来解决非线性方程组，可以在Matlab环境中求解当前的常微分方程组。这使工程师和设计人员可以在进行深入的模拟和分析之前获得结构性能的初始估计。