Robust control design of nonlinear negative stiffness base isolators for MDOF systems

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics Pub Date : 2025-03-18 DOI:10.1016/j.ijnonlinmec.2025.105083

Sudip Chowdhury , Sondipon Adhikari , Arnab Banerjee

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引用次数: 0

Abstract

Seismic isolation is crucial for protecting structures from earthquake-induced vibrations, yet traditional base isolators (TBI) often exhibit limitations in mitigating dynamic responses, particularly in multi-degree-of-freedom (MDOF) systems. This study introduces nonlinear negative stiffness base isolators (NNBI) as an advanced alternative, leveraging

H_{2}

optimisation to enhance vibration control. A mathematical framework was developed to derive closed-form expressions for optimal NNBI design parameters, followed by numerical validation through frequency and time-domain analyses, including harmonic excitations, random white noise, and near-field earthquake simulations. Results demonstrated that NNBI achieves at least 47.90 % greater dynamic response reduction compared to TBI, with a maximum improvement of 97.80 % for ten DOF systems, confirming its superior energy dissipation capabilities. These findings establish NNBI as a transformative solution for seismic resilience, with potential applications in tall buildings.

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来源期刊

International Journal of Non-Linear Mechanics 物理-力学

CiteScore

5.50

自引率

9.40%

发文量

192

审稿时长

67 days

期刊介绍： The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear. The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas. Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.