The nonlinear negative stiffness inertial amplifier base isolators for dynamic systems

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES(2024)

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摘要
The nonlinear negative stiffness inertial amplifier base isolators (NNSIABI) for vibration reduction of dynamic systems are introduced in this paper. H-2 and H-infinity optimization methods are applied to derive the exact closed-form expressions for the optimal design parameters of novel isolators. For SDOF system, the dynamic response reduction capacity of H-2 and H-infinity optimized linear NSIABI are significantly 64.78% and 77.14% superior to the optimum traditional base isolators. In contrast, the dynamic response reduction capacities of H-2 and H-infinity-optimized nonlinear NNSIABI are significantly 64.66% and 66.56% superior to the optimum traditional base isolators. For MDOF systems, the optimum linear NSIABI's dynamic response reduction capacities are significantly 95.06% and 97.80%, superior to the optimum traditional base isolators. In addition, the optimum nonlinear NNSIABI are significantly 94.88% and 97.68%, superior to the traditional base isolators. All the results are mathematically corrected and applicable for practical applications.
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Linear and nonlinear negative stiffness inertial amplifier base isolators,NSIABI,NNSIABI,exact closed-form,H-2 and H-infinity optimization methods,SDOF and MDOF systems
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