The nonlinear negative stiffness inertial amplifier base isolators for dynamic systems

Chowdhury, S. , Banerjee, A. and Adhikari, S. (2024) The nonlinear negative stiffness inertial amplifier base isolators for dynamic systems. Mechanics Based Design of Structures and Machines, (doi: 10.1080/15397734.2024.2319113) (Early Online Publication)

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.

• Item Type: Articles
• Additional Information: This work was supported by Department of Science and Technology. The authors would like to acknowledge the Inspire faculty grant, grant number DST/INSPIRE/04/2018/000052, for partial financial support for the project. SC would like to acknowledge the MHRD grant received from IIT Delhi during the period of this research work. SC also would like to acknowledge the Early Doc grant received from IIT Delhi during the period of this research work.
• Keywords: Mechanical Engineering, Mechanics of Materials, Ocean Engineering, Condensed Matter Physics, Aerospace Engineering, Automotive Engineering, General Mathematics, Civil and Structural Engineering
• Status: Early Online Publication
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Chowdhury, Mr Sudip and Adhikari, Professor Sondipon
• Authors: Chowdhury, S., Banerjee, A., and Adhikari, S.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: Mechanics Based Design of Structures and Machines
• Publisher: Taylor and Francis
• ISSN: 1539-7734
• ISSN (Online): 1539-7742