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Purpose <p>The efficacy of inerter-connected compliant liquid dampers (CLDI) in controlling the&#xa0;wind-induced structural response of tall buildings is investigated focusing on the optimal design of the CLDI. The CLDI consists of an inerter element, external spring and dashpot elements, and a liquid tank (LT). The inerter is connected to the LT at one end, and the other end is grounded.</p> Methods <p> An example 20-story building is considered and modeled as an equivalent single-degree-of-freedom (SDOF) system. An identical mechanical model of the LT is adopted through an analogous spring-mass-dashpot system. The equations of motion for the structure-CLDI system are established. The major contribution of this work is the derivation of an analytical expression for the structural displacement transfer function with the help of non-dimensional structure-CLDI parameters. Stochastic excitations such as the Gaussian white noise and the wind loads in terms of the Kaimal spectrum are chosen to manage the energy over a large frequency domain of interest.</p> Results <p>The parametric analysis-based optimization and numerical optimization using the Genetic Algorithm are adopted to minimize the H<sub>2</sub> norm of the structural displacement response. It is observed that both these techniques provide similar outcomes in terms of the optimum CLDI parameters.</p> Conclusions <p>The frequency response function (FRF) graphs for uncontrolled and CLDI-controlled structures indicate that the suggested damper successfully minimizes the structural response caused by wind.</p>

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Inerter Connected Compliant Liquid Damper for Wind-Induced Vibration Response Control: H2 Optimization Using Kaimal Spectrum

  • 期刊论文

  • 发表日期：

    2025年1月19日

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  • Anupam Das,
  • Somya Ranjan Patro,
  • Arnab Banerjee

摘要

Purpose

The efficacy of inerter-connected compliant liquid dampers (CLDI) in controlling the wind-induced structural response of tall buildings is investigated focusing on the optimal design of the CLDI. The CLDI consists of an inerter element, external spring and dashpot elements, and a liquid tank (LT). The inerter is connected to the LT at one end, and the other end is grounded.

Methods

An example 20-story building is considered and modeled as an equivalent single-degree-of-freedom (SDOF) system. An identical mechanical model of the LT is adopted through an analogous spring-mass-dashpot system. The equations of motion for the structure-CLDI system are established. The major contribution of this work is the derivation of an analytical expression for the structural displacement transfer function with the help of non-dimensional structure-CLDI parameters. Stochastic excitations such as the Gaussian white noise and the wind loads in terms of the Kaimal spectrum are chosen to manage the energy over a large frequency domain of interest.

Results

The parametric analysis-based optimization and numerical optimization using the Genetic Algorithm are adopted to minimize the H2 norm of the structural displacement response. It is observed that both these techniques provide similar outcomes in terms of the optimum CLDI parameters.

Conclusions

The frequency response function (FRF) graphs for uncontrolled and CLDI-controlled structures indicate that the suggested damper successfully minimizes the structural response caused by wind.