Chowdhury, Sudip and Banerjee, Arnab and Adhikari, Sondipon (2024) The nonlinear negative stiffness inertial amplifier base isolators for dynamic systems. Mechanics Based Design of Structures and Machines, 52 (11). pp. 8430-8469. ISSN 1539-7734

Abstract

The nonlinear negative stiffness inertial amplifier base isolators (NNSIABI) for vibration reduction of dynamic systems are introduced in this paper. H2 and H∞ 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 H2 and H∞ 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 H2 and H∞-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.

People
Chowdhury, Sudip
Author

Chowdhury, Sudip and Adhikari, Sondipon (2025) Nonlinear inertial amplifier liquid column dampers. Applied Mathematical Modelling, 140: 115875. ISSN 0307-904X

Chowdhury, Sudip and Adhikari, Sondipon (2025) Nonlinear stiffened inertial amplifier tuned mass friction dampers. Soil Dynamics and Earthquake Engineering, 191: 109264. ISSN 0267-7261

Chowdhury, Sudip and Banerjee, Arnab and Adhikari, Sondipon (2024) From impact to control: inertially amplified friction bearings. ASCE - ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering, 10 (4). ISSN 2376-7642

See full publications list
Banerjee, Arnab
Author

Chowdhury, Sudip and Banerjee, Arnab and Adhikari, Sondipon (2024) From impact to control: inertially amplified friction bearings. ASCE - ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering, 10 (4). ISSN 2376-7642

Chowdhury, Sudip and Banerjee, Arnab and Adhikari, Sondipon (2024) The nonlinear negative stiffness inertial amplifier base isolators for dynamic systems. Mechanics Based Design of Structures and Machines, 52 (11). pp. 8430-8469. ISSN 1539-7734

See full publications list
Adhikari, Sondipon
Author

Chowdhury, Sudip and Adhikari, Sondipon (2025) Nonlinear inertial amplifier liquid column dampers. Applied Mathematical Modelling, 140: 115875. ISSN 0307-904X

Chowdhury, Sudip and Adhikari, Sondipon (2025) Nonlinear stiffened inertial amplifier tuned mass friction dampers. Soil Dynamics and Earthquake Engineering, 191: 109264. ISSN 0267-7261

Chowdhury, Sudip and Banerjee, Arnab and Adhikari, Sondipon (2024) From impact to control: inertially amplified friction bearings. ASCE - ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering, 10 (4). ISSN 2376-7642

See full publications list
Texts
409:424
lightbox image
322458.pdf - Accepted Version
Available under License Creative Commons Attribution Non-commercial No Derivatives.

Download (5MB) | Preview
Information
Library

View Item