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Nonlinear inertial amplifier liquid column dampers

Sudip Chowdhury, Sondipon Adhikari

2024Applied Mathematical Modelling15 citationsDOIOpen Access PDF

Abstract

Conventional Tuned Liquid Column Dampers effectively mitigate structural vibrations; however, their efficacy is limited by the need for supplementary static mass, which escalates costs and complicates adaptability. This work presents a novel solution: Nonlinear Inertial Amplifier Liquid Column Dampers, which improve vibration attenuation without augmenting static mass. The suggested system is implemented on a single-degree-of-freedom framework, with its governing equations determined by Newton's second law and Lagrange's approach. The optimal design parameters are derived using H 2 and H ∞ optimisation methods. Results indicate that nonlinear inertial amplifier liquid column dampers much exceed the performance of conventional tuned liquid column dampers and inerter-based tuned liquid column dampers, attaining a dynamic response reduction of up to 83.60% and 82.11%. The closed-form solutions and parametric analyses validate the efficacy of this method, establishing nonlinear inertial amplifier liquid column dampers as a potential technique for enhancing structural resilience in civil engineering applications. • Nonlinear Inertial Amplifier Liquid Column Dampers: cutting-edge vibration control. • This damper surpasses traditional tuned liquid column dampers in performance. • Uses H 2 and H ∞ optimisation for superior vibration mitigation. • Closed-form optimal design parameters for dampers are introduced. • The novel damper improves by 83.60% over conventional damper designs.

Topics & Concepts

Nonlinear systemAmplifierDamperInertial frame of referenceControl theory (sociology)Column (typography)Materials sciencePhysicsStructural engineeringEngineeringComputer scienceOptoelectronicsClassical mechanicsArtificial intelligenceCMOSControl (management)Connection (principal bundle)Quantum mechanicsVibration Control and Rheological FluidsTribology and Lubrication EngineeringFluid Dynamics and Vibration Analysis