The optimum inertial amplifier viscoelastic base isolators for dynamic response mitigation of structures: an analytical study

ABSTRACT

The inertial amplifier viscoelastic base isolators (IAVBI) are introduced in this paper. The viscoelastic materials are implanted inside the core material of the inertial amplifier base isolators. The standard linear solid (SLS) models are applied to formulate the viscoelastic material mathematically. The viscoelastic materials are also implanted inside the traditional base isolators to enhance their dynamic response reduction capacity. The optimal dynamic responses of structures controlled by novel viscoelastic base isolators are derived analytically. The exact closed-form expressions for optimal design parameters of novel viscoelastic base isolators for structures are derived using $H_2$ and $H_{\mathrm{\infty }}$ optimization methods. The feasibility of these optimal design parameters has been tested by frequency domain analysis. The optimal dynamic response reduction capacity of inertial amplifier viscoelastic base isolators has been determined to investigate the robustness of the $H_2$ and $H_{\mathrm{\infty }}$ optimized design parameters. The closed-form expressions for optimal design parameters of novel base isolators are mathematically correct and effective for design purposes.

KEYWORDS:

• Inertial amplifier viscoelastic base isolators
• traditional viscoelastic base isolators
• standard linear solid
• exact closed-form
• $H_2$ and $H_{\mathrm{\infty }}$ optimization methods

Acknowledgments

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.

Disclosure statement

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Data availability statement

All data, models, and code generated or used during the study appear in the submitted article. Data available within the article or its supplementary materials.

Additional information

Funding

The work was supported by the DST/ INSPIRE/INDIA [DST/ INSPIRE/04/2018/000052]; Indian Institute of Technology Delhi [MHRD Scholarship].